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Machine Learning Tutorial: The Max Entropy Text Classifier

In this tutorial we will discuss about Maximum Entropy text classifier, also known as MaxEnt classifier. The Max Entropy classifier is a discriminative classifier commonly used in Natural Language Processing, Speech and Information Retrieval problems. Implementing Max Entropy in a standard programming language such as JAVA, C++ or PHP is non-trivial primarily due to the […]

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max-entropy-classifierIn this tutorial we will discuss about Maximum Entropy text classifier, also known as MaxEnt classifier. The Max Entropy classifier is a discriminative classifier commonly used in Natural Language Processing, Speech and Information Retrieval problems. Implementing Max Entropy in a standard programming language such as JAVA, C++ or PHP is non-trivial primarily due to the numerical optimization problem that one should solve in order to estimate the weights of the model.

Update: The Datumbox Machine Learning Framework is now open-source and free to download. Check out the package com.datumbox.framework.machinelearning.classification to see the implementation of Max Entropy Classifier in Java.

Note that Max Entropy classifier performs very well for several Text Classification problems such as Sentiment Analysis and it is one of the classifiers that is commonly used to power up our Machine Learning API.

What is the Max Entropy Classifier?

The Max Entropy classifier is a probabilistic classifier which belongs to the class of exponential models. Unlike the Naive Bayes classifier that we discussed in the previous article, the Max Entropy does not assume that the features are conditionally independent of each other. The MaxEnt is based on the Principle of Maximum Entropy and from all the models that fit our training data, selects the one which has the largest entropy. The Max Entropy classifier can be used to solve a large variety of text classification problems such as language detection, topic classification, sentiment analysis and more.

When to use the MaxEnt Text Classifier?

Due to the minimum assumptions that the Maximum Entropy classifier makes, we regularly use it when we don’t know anything about the prior distributions and when it is unsafe to make any such assumptions. Moreover Maximum Entropy classifier is used when we can’t assume the conditional independence of the features. This is particularly true in Text Classification problems where our features are usually words which obviously are not independent. The Max Entropy requires more time to train comparing to Naive Bayes, primarily due to the optimization problem that needs to be solved in order to estimate the parameters of the model. Nevertheless, after computing these parameters, the method provides robust results and it is competitive in terms of CPU and memory consumption.

Theoretical Background of Maximum Entropy

Our target is to use the contextual information of the document (unigrams, bigrams, other characteristics within the text) in order to categorize it to a given class (positive/neutral/negative, objective/subjective etc). Following the standard bag-of-words framework that is commonly used in natural language processing and information retrieval, let {w1,…,wm} be the m words that can appear in a document. Then each document is represented by a sparse array with 1s and 0s that indicate whether a particular word wi exists or not in the context of the document. This approach was proposed by Bo Pang and Lillian Lee (2002).

Our target is to construct a stochastic model, as described by Adam Berger (1996), which accurately represents the behavior of the random process: take as input the contextual information x of a document and produce the output value y. As in the case of Naive Bayes, the first step of constructing this model is to collect a large number of training data which consists of samples represented on the following format: (xi,yi) where the xi includes the contextual information of the document (the sparse array) and yi its class. The second step is to summarize the training sample in terms of its empirical probability distribution:

[1]

Where N is the size of the training dataset.

We will use the above empirical probability distribution in order to construct the statistical model of the random process which assigns texts to a particular class by taking into account their contextual information. The building blocks of our model will be the set of statistics that come from our training dataset i.e. the empirical probability distribution.

We introduce the following indicator function:

[2]

We call the above indicator function as “feature”. This binary valued indicator function returns 1 only when the class of a particular document is ci and the document contains the word wk.

We express any statistic of the training dataset as the expected value of the appropriate binary-valued indicator function fj. Thus the expected value of feature fj with respect to the empirical distribution  is equal to:

[3]

If each training sample (x,y) occurs once in training dataset then  is equal to 1/N.

When a particular statistic is useful to our classification, we require our model to accord with it. To do so, we constrain the expected value that the model assigns to the expected value of the feature function fj. The expected value of feature fj with respect to the model  is equal to:

[4]

Where  is the empirical distribution of x in the training dataset and it is usually set equal to 1/N.

By constraining the expected value to be the equal to the empirical value and from equations [3],[4] we have that:

[5]

Equation [5] is called constrain and we have as many constrains as the number of j feature functions.

The above constrains can be satisfied by an infinite number of models. So in order to build our model, we need to select the best candidate based on a specific criterion. According to the principle of Maximum Entropy, we should select the model that is as close as possible to uniform. In order words, we should select the model p* with Maximum Entropy:

[6]

Given that:

  1. [7]
  2. [8]
  3. [9]

To solve the above optimization problem we introduce the Lagrangian multipliers, we focus on the unconstrained dual problem and we estimate the lamda free variables {λ1,…,λn} with the Maximum Likelihood Estimation method.

It can be proven that if we find the {λ1,…,λn} parameters which maximize the dual problem, the probability given a document x to be classified as y is equal to:

[10]

Thus given that we have found the lamda parameters of our model, all we need to do in order to classify a new document is use the “maximum a posteriori” decision rule and select the category with the highest probability.

Estimating the lamda parameters requires using an iterative scaling algorithm such as the GIS (Generalized Iterative Scaling) or the IIS (Improved Iterative Scaling).

The  is the total number of features which are active for a particular (x,y) pair. If this number is constant for all documents then the  can be calculated in closed-form:

[11]

The assumption that  is constant is rarely realistic in practice. To resolve this, some versions of IIS propose the inclusion of a “slack” indicator function that helps maintaining the number of active features constant. Unfortunately, introducing such a feature heavily increases the training time. Fortunately, as Goodman (2002) and Ratnaparkhi (1997) prove, it is only necessary that the sum of indicator functions to be bounded by and not necessarily equal to it. Thus we can select as C the maximum number of active features for all (x,y) pairs within our training dataset:

 [16]

Making the above adaptations on the standard versions of IIS can help us find the {λ1,…,λn} parameters and build our model relatively quickly.

As we discussed in the previous article “The importance of Neutral Class in Sentiment Analysis”, Max Entropy classifier has few very nice properties when we use it on Sentiment Analysis and when we include the Neutral Class. If you want to check out some applications of Max Entropy in action, check out our Sentiment Analysis or Subjectivity Analysis API. To use our API just sign-up for a free account and get your API Key from your profile area.

Did you like the article? Please take a minute to share it on Twitter. 🙂

About Vasilis Vryniotis

My name is Vasilis Vryniotis. I’m a Data Scientist, a Software Engineer, author of Datumbox Machine Learning Framework and a proud geek. Learn more

Source: http://blog.datumbox.com/machine-learning-tutorial-the-max-entropy-text-classifier/

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Bringing real-time machine learning-powered insights to rugby using Amazon SageMaker

The Guinness Six Nations Championship began in 1883 as the Home Nations Championship among England, Ireland, Scotland, and Wales, with the inclusion of France in 1910 and Italy in 2000. It is among the oldest surviving rugby traditions and one of the best-attended sporting events in the world. The COVID-19 outbreak disrupted the end of […]

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The Guinness Six Nations Championship began in 1883 as the Home Nations Championship among England, Ireland, Scotland, and Wales, with the inclusion of France in 1910 and Italy in 2000. It is among the oldest surviving rugby traditions and one of the best-attended sporting events in the world. The COVID-19 outbreak disrupted the end of the 2020 Championship and four games were postponed. The remaining rounds resumed on October 24. With the increasing application of artificial intelligence and machine learning (ML) in sports analytics, AWS and Stats Perform partnered to bring ML-powered, real-time stats to the game of rugby, to enhance fan engagement and provide valuable insights into the game.

This post summarizes the collaborative effort between the Guinness Six Nations Rugby Championship, Stats Perform, and AWS to develop an ML-driven approach with Amazon SageMaker and other AWS services that predicts the probability of a successful penalty kick, computed in real time and broadcast live during the game. AWS infrastructure enables single-digit millisecond latency for kick predictions during inference. The Kick Predictor stat is one of the many new AWS-powered, on-screen dynamic Matchstats that provide fans with a greater understanding of key in-game events, including scrum analysis, play patterns, rucks and tackles, and power game analysis. For more information about other stats developed for rugby using AWS services, see the Six Nations Rugby website.

Rugby is a form of football with a 23-player match day squad. 15 players on each team are on the field, with additional substitutions waiting to get involved in the full-contact sport. The objective of the game is to outscore the opposing team, and one way of scoring is to kick a goal. The ability to kick accurately is one of the most critical elements of rugby, and there are two ways to score with a kick: through a conversion (worth two points) and a penalty (worth three points).

Predicting the likelihood of a successful kick is important because it enhances fan engagement during the game by showing the success probability before the player kicks the ball. There are usually 40–60 seconds of stoppage time while the player sets up for the kick, during which the Kick Predictor stat can appear on-screen to fans. Commentators also have time to predict the outcome, quantify the difficulty of each kick, and compare kickers in similar situations. Moreover, teams may start to use kicking probability models in the future to determine which player should kick given the position of the penalty on the pitch.

Developing an ML solution

To calculate the penalty success probability, the Amazon Machine Learning Solutions Lab used Amazon SageMaker to train, test, and deploy an ML model from historical in-game events data, which calculates the kick predictions from anywhere in the field. The following sections explain the dataset and preprocessing steps, the model training, and model deployment procedures.

Dataset and preprocessing

Stats Perform provided the dataset for training the goal kick model. It contained millions of events from historical rugby matches from 46 leagues from 2007–2019. The raw JSON events data that was collected during live rugby matches was ingested and stored on Amazon Simple Storage Service (Amazon S3). It was then parsed and preprocessed in an Amazon SageMaker notebook instance. After selecting the kick-related events, the training data comprised approximately 67,000 kicks, with approximately 50,000 (75%) successful kicks and 17,000 misses (25%).

The following graph shows a summary of kicks taken during a sample game. The athletes kicked from different angles and various distances.

Rugby experts contributed valuable insights to the data preprocessing, which included detecting and removing anomalies, such as unreasonable kicks. The clean CSV data went back to an S3 bucket for ML training.

The following graph depicts the heatmap of the kicks after preprocessing. The left-side kicks are mirrored. The brighter colors indicated a higher chance of scoring, standardized between 0 to 1.

Feature engineering

To better capture the real-world event, the ML Solutions Lab engineered several features using exploratory data analysis and insights from rugby experts. The features that went into the modeling fell into three main categories:

  • Location-based features – The zone in which the athlete takes the kick and the distance and angle of the kick to the goal. The x-coordinates of the kicks are mirrored along the center of the rugby pitch to eliminate the left or right bias in the model.
  • Player performance features – The mean success rates of the kicker in a given field zone, in the Championship, and in the kicker’s entire career.
  • In-game situational features – The kicker’s team (home or away), the scoring situation before they take the kick, and the period of the game in which they take the kick.

The location-based and player performance features are the most important features in the model.

After feature engineering, the categorical variables were one-hot encoded, and to avoid the bias of the model towards large-value variables, the numerical predictors were standardized. During the model training phase, a player’s historical performance features were pushed to Amazon DynamoDB tables. DynamoDB helped provide single-digit millisecond latency for kick predictions during inference.

Training and deploying models

To explore a wide range of classification algorithms (such as logistic regression, random forests, XGBoost, and neural networks), a 10-fold stratified cross-validation approach was used for model training. After exploring different algorithms, the built-in XGBoost in Amazon SageMaker was used due to its better prediction performance and inference speed. Additionally, its implementation has a smaller memory footprint, better logging, and improved hyperparameter optimization (HPO) compared to the original code base.

HPO, or tuning, is the process of choosing a set of optimal hyperparameters for a learning algorithm, and is a challenging element in any ML problem. HPO in Amazon SageMaker uses an implementation of Bayesian optimization to choose the best hyperparameters for the next training job. Amazon SageMaker HPO automatically launches multiple training jobs with different hyperparameter settings, evaluates the results of those training jobs based on a predefined objective metric, and selects improved hyperparameter settings for future attempts based on previous results.

The following diagram illustrates the model training workflow.

Optimizing hyperparameters in Amazon SageMaker

You can configure training jobs and when the hyperparameter tuning job launches by initializing an estimator, which includes the container image for the algorithm (for this use case, XGBoost), configuration for the output of the training jobs, the values of static algorithm hyperparameters, and the type and number of instances to use for the training jobs. For more information, see Train a Model.

To create the XGBoost estimator for this use case, enter the following code:

import boto3
import sagemaker
from sagemaker.tuner import IntegerParameter, CategoricalParameter, ContinuousParameter, HyperparameterTuner
from sagemaker.amazon.amazon_estimator import get_image_uri
BUCKET = <bucket name>
PREFIX = 'kicker/xgboost/'
region = boto3.Session().region_name
role = sagemaker.get_execution_role()
smclient = boto3.Session().client('sagemaker')
sess = sagemaker.Session()
s3_output_path = ‘s3://{}/{}/output’.format(BUCKET, PREFIX) container = get_image_uri(region, 'xgboost', repo_version='0.90-1') xgb = sagemaker.estimator.Estimator(container, role, train_instance_count=4, train_instance_type= 'ml.m4.xlarge', output_path=s3_output_path, sagemaker_session=sess)

After you create the XGBoost estimator object, set its initial hyperparameter values as shown in the following code:

xgb.set_hyperparameters(eval_metric='auc', objective= 'binary:logistic', num_round=200, rate_drop=0.3, max_depth=5, subsample=0.8, gamma=2, eta=0.2, scale_pos_weight=2.85) #For class imbalance weights # Specifying the objective metric (auc on validation set)
OBJECTIVE_METRIC_NAME = ‘validation:auc’ # specifying the hyper parameters and their ranges
HYPERPARAMETER_RANGES = {'eta': ContinuousParameter(0, 1), 'alpha': ContinuousParameter(0, 2), 'max_depth': IntegerParameter(1, 10)}

For this post, AUC (area under the ROC curve) is the evaluation metric. This enables the tuning job to measure the performance of the different training jobs. The kick prediction is also a binary classification problem, which is specified in the objective argument as a binary:logistic. There is also a set of XGBoost-specific hyperparameters that you can tune. For more information, see Tune an XGBoost model.

Next, create a HyperparameterTuner object by indicating the XGBoost estimator, the hyperparameter ranges, passing the parameters, the objective metric name and definition, and tuning resource configurations, such as the number of training jobs to run in total and how many training jobs can run in parallel. Amazon SageMaker extracts the metric from Amazon CloudWatch Logs with a regular expression. See the following code:

tuner = HyperparameterTuner(xgb, OBJECTIVE_METRIC_NAME, HYPERPARAMETER_RANGES, max_jobs=20, max_parallel_jobs=4)
s3_input_train = sagemaker.s3_input(s3_data='s3://{}/{}/train'.format(BUCKET, PREFIX), content_type='csv')
s3_input_validation = sagemaker.s3_input(s3_data='s3://{}/{}/validation/'.format(BUCKET, PREFIX), content_type='csv')
tuner.fit({'train': s3_input_train, 'validation':

Finally, launch a hyperparameter tuning job by calling the fit() function. This function takes the paths of the training and validation datasets in the S3 bucket. After you create the hyperparameter tuning job, you can track its progress via the Amazon SageMaker console. The training time depends on the instance type and number of instances you selected during tuning setup.

Deploying the model on Amazon SageMaker

When the training jobs are complete, you can deploy the best performing model. If you’d like to compare models for A/B testing, Amazon SageMaker supports hosting representational state transfer (REST) endpoints for multiple models. To set this up, create an endpoint configuration that describes the distribution of traffic across the models. In addition, the endpoint configuration describes the instance type required for model deployment. The first step is to get the name of the best performing training job and create the model name.

After you create the endpoint configuration, you’re ready to deploy the actual endpoint for serving inference requests. The result is an endpoint that can you can validate and incorporate into production applications. For more information about deploying models, see Deploy the Model to Amazon SageMaker Hosting Services. To create the endpoint configuration and deploy it, enter the following code:

endpoint_name = 'Kicker-XGBoostEndpoint'
xgb_predictor = tuner.deploy(initial_instance_count=1, instance_type='ml.t2.medium', endpoint_name=endpoint_name)

After you create the endpoint, you can request a prediction in real time.

Building a RESTful API for real-time model inference

You can create a secure and scalable RESTful API that enables you to request the model prediction based on the input values. It’s easy and convenient to develop different APIs using AWS services.

The following diagram illustrates the model inference workflow.

First, you request the probability of the kick conversion by passing parameters through Amazon API Gateway, such as the location and zone of the kick, kicker ID, league and Championship ID, the game’s period, if the kicker’s team is playing home or away, and the team score status.

The API Gateway passes the values to the AWS Lambda function, which parses the values and requests additional features related to the player’s performance from DynamoDB lookup tables. These include the mean success rates of the kicking player in a given field zone, in the Championship, and in the kicker’s entire career. If the player doesn’t exist in the database, the model uses the average performance in the database in the given kicking location. After the function combines all the values, it standardizes the data and sends it to the Amazon SageMaker model endpoint for prediction.

The model performs the prediction and returns the predicted probability to the Lambda function. The function parses the returned value and sends it back to API Gateway. API Gateway responds with the output prediction. The end-to-end process latency is less than a second.

The following screenshot shows example input and output of the API. The RESTful API also outputs the average success rate of all the players in the given location and zone to get the comparison of the player’s performance with the overall average.

For instructions on creating a RESTful API, see Call an Amazon SageMaker model endpoint using Amazon API Gateway and AWS Lambda.

Bringing design principles into sports analytics

To create the first real-time prediction model for the tournament with a millisecond latency requirement, the ML Solutions Lab team worked backwards to identify areas in which design thinking could save time and resources. The team worked on an end-to-end notebook within an Amazon SageMaker environment, which enabled data access, raw data parsing, data preprocessing and visualization, feature engineering, model training and evaluation, and model deployment in one place. This helped in automating the modeling process.

Moreover, the ML Solutions Lab team implemented a model update iteration for when the model was updated with newly generated data, in which the model parses and processes only the additional data. This brings computational and time efficiencies to the modeling.

In terms of next steps, the Stats Perform AI team has been looking at the next stage of rugby analysis by breaking down the other strategic facets as line-outs, scrums and teams, and continuous phases of play using the fine-grain spatio-temporal data captured. The state-of-the-art feature representations and latent factor modelling (which have been utilized so effectively in Stats Perform’s “Edge” match-analysis and recruitment products in soccer) means that there is plenty of fertile space for innovation that can be explored in rugby.

Conclusion

Six Nations Rugby, Stats Perform, and AWS came together to bring the first real-time prediction model to the 2020 Guinness Six Nations Rugby Championship. The model determined a penalty or conversion kick success probability from anywhere in the field. They used Amazon SageMaker to build, train, and deploy the ML model with variables grouped into three main categories: location-based features, player performance features, and in-game situational features. The Amazon SageMaker endpoint provided prediction results with subsecond latency. The model was used by broadcasters during the live games in the Six Nations 2020 Championship, bringing a new metric to millions of rugby fans.

You can find full, end-to-end examples of creating custom training jobs, training state-of-the-art object detection models, and model deployment on Amazon SageMaker on the AWS Labs GitHub repo. To learn more about the ML Solutions Lab, see Amazon Machine Learning Solutions Lab.


About the Authors

Mehdi Noori is a Data Scientist at the Amazon ML Solutions Lab, where he works with customers across various verticals, and helps them to accelerate their cloud migration journey, and to solve their ML problems using state-of-the-art solutions and technologies.

Tesfagabir Meharizghi is a Data Scientist at the Amazon ML Solutions Lab where he works with customers across different verticals accelerate their use of artificial intelligence and AWS cloud services to solve their business challenges. Outside of work, he enjoys spending time with his family and reading books.

Patrick Lucey is the Chief Scientist at Stats Perform. Patrick started the Artificial Intelligence group at Stats Perform in 2015, with thegroup focusing on both computer vision and predictive modelling capabilities in sport. Previously, he was at Disney Research for 5 years, where he conducted research into automatic sports broadcasting using large amounts of spatiotemporal tracking data. He received his BEng(EE) from USQ and PhD from QUT, Australia in 2003 and 2008 respectively. He was also co-author of the best paper at the 2016 MIT Sloan Sports Analytics Conference and in 2017 & 2018 was co-author of best-paper runner-up at the same conference.

Xavier Ragot is Data Scientist with the Amazon ML Solution Lab team where he helps design creative ML solution to address customers’ business problems in various industries.

Source: https://aws.amazon.com/blogs/machine-learning/bringing-real-time-machine-learning-powered-insights-to-rugby-using-amazon-sagemaker/

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Bringing real-time machine learning-powered insights to rugby using Amazon SageMaker

The Guinness Six Nations Championship began in 1883 as the Home Nations Championship among England, Ireland, Scotland, and Wales, with the inclusion of France in 1910 and Italy in 2000. It is among the oldest surviving rugby traditions and one of the best-attended sporting events in the world. The COVID-19 outbreak disrupted the end of […]

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on

The Guinness Six Nations Championship began in 1883 as the Home Nations Championship among England, Ireland, Scotland, and Wales, with the inclusion of France in 1910 and Italy in 2000. It is among the oldest surviving rugby traditions and one of the best-attended sporting events in the world. The COVID-19 outbreak disrupted the end of the 2020 Championship and four games were postponed. The remaining rounds resumed on October 24. With the increasing application of artificial intelligence and machine learning (ML) in sports analytics, AWS and Stats Perform partnered to bring ML-powered, real-time stats to the game of rugby, to enhance fan engagement and provide valuable insights into the game.

This post summarizes the collaborative effort between the Guinness Six Nations Rugby Championship, Stats Perform, and AWS to develop an ML-driven approach with Amazon SageMaker and other AWS services that predicts the probability of a successful penalty kick, computed in real time and broadcast live during the game. AWS infrastructure enables single-digit millisecond latency for kick predictions during inference. The Kick Predictor stat is one of the many new AWS-powered, on-screen dynamic Matchstats that provide fans with a greater understanding of key in-game events, including scrum analysis, play patterns, rucks and tackles, and power game analysis. For more information about other stats developed for rugby using AWS services, see the Six Nations Rugby website.

Rugby is a form of football with a 23-player match day squad. 15 players on each team are on the field, with additional substitutions waiting to get involved in the full-contact sport. The objective of the game is to outscore the opposing team, and one way of scoring is to kick a goal. The ability to kick accurately is one of the most critical elements of rugby, and there are two ways to score with a kick: through a conversion (worth two points) and a penalty (worth three points).

Predicting the likelihood of a successful kick is important because it enhances fan engagement during the game by showing the success probability before the player kicks the ball. There are usually 40–60 seconds of stoppage time while the player sets up for the kick, during which the Kick Predictor stat can appear on-screen to fans. Commentators also have time to predict the outcome, quantify the difficulty of each kick, and compare kickers in similar situations. Moreover, teams may start to use kicking probability models in the future to determine which player should kick given the position of the penalty on the pitch.

Developing an ML solution

To calculate the penalty success probability, the Amazon Machine Learning Solutions Lab used Amazon SageMaker to train, test, and deploy an ML model from historical in-game events data, which calculates the kick predictions from anywhere in the field. The following sections explain the dataset and preprocessing steps, the model training, and model deployment procedures.

Dataset and preprocessing

Stats Perform provided the dataset for training the goal kick model. It contained millions of events from historical rugby matches from 46 leagues from 2007–2019. The raw JSON events data that was collected during live rugby matches was ingested and stored on Amazon Simple Storage Service (Amazon S3). It was then parsed and preprocessed in an Amazon SageMaker notebook instance. After selecting the kick-related events, the training data comprised approximately 67,000 kicks, with approximately 50,000 (75%) successful kicks and 17,000 misses (25%).

The following graph shows a summary of kicks taken during a sample game. The athletes kicked from different angles and various distances.

Rugby experts contributed valuable insights to the data preprocessing, which included detecting and removing anomalies, such as unreasonable kicks. The clean CSV data went back to an S3 bucket for ML training.

The following graph depicts the heatmap of the kicks after preprocessing. The left-side kicks are mirrored. The brighter colors indicated a higher chance of scoring, standardized between 0 to 1.

Feature engineering

To better capture the real-world event, the ML Solutions Lab engineered several features using exploratory data analysis and insights from rugby experts. The features that went into the modeling fell into three main categories:

  • Location-based features – The zone in which the athlete takes the kick and the distance and angle of the kick to the goal. The x-coordinates of the kicks are mirrored along the center of the rugby pitch to eliminate the left or right bias in the model.
  • Player performance features – The mean success rates of the kicker in a given field zone, in the Championship, and in the kicker’s entire career.
  • In-game situational features – The kicker’s team (home or away), the scoring situation before they take the kick, and the period of the game in which they take the kick.

The location-based and player performance features are the most important features in the model.

After feature engineering, the categorical variables were one-hot encoded, and to avoid the bias of the model towards large-value variables, the numerical predictors were standardized. During the model training phase, a player’s historical performance features were pushed to Amazon DynamoDB tables. DynamoDB helped provide single-digit millisecond latency for kick predictions during inference.

Training and deploying models

To explore a wide range of classification algorithms (such as logistic regression, random forests, XGBoost, and neural networks), a 10-fold stratified cross-validation approach was used for model training. After exploring different algorithms, the built-in XGBoost in Amazon SageMaker was used due to its better prediction performance and inference speed. Additionally, its implementation has a smaller memory footprint, better logging, and improved hyperparameter optimization (HPO) compared to the original code base.

HPO, or tuning, is the process of choosing a set of optimal hyperparameters for a learning algorithm, and is a challenging element in any ML problem. HPO in Amazon SageMaker uses an implementation of Bayesian optimization to choose the best hyperparameters for the next training job. Amazon SageMaker HPO automatically launches multiple training jobs with different hyperparameter settings, evaluates the results of those training jobs based on a predefined objective metric, and selects improved hyperparameter settings for future attempts based on previous results.

The following diagram illustrates the model training workflow.

Optimizing hyperparameters in Amazon SageMaker

You can configure training jobs and when the hyperparameter tuning job launches by initializing an estimator, which includes the container image for the algorithm (for this use case, XGBoost), configuration for the output of the training jobs, the values of static algorithm hyperparameters, and the type and number of instances to use for the training jobs. For more information, see Train a Model.

To create the XGBoost estimator for this use case, enter the following code:

import boto3
import sagemaker
from sagemaker.tuner import IntegerParameter, CategoricalParameter, ContinuousParameter, HyperparameterTuner
from sagemaker.amazon.amazon_estimator import get_image_uri
BUCKET = <bucket name>
PREFIX = 'kicker/xgboost/'
region = boto3.Session().region_name
role = sagemaker.get_execution_role()
smclient = boto3.Session().client('sagemaker')
sess = sagemaker.Session()
s3_output_path = ‘s3://{}/{}/output’.format(BUCKET, PREFIX) container = get_image_uri(region, 'xgboost', repo_version='0.90-1') xgb = sagemaker.estimator.Estimator(container, role, train_instance_count=4, train_instance_type= 'ml.m4.xlarge', output_path=s3_output_path, sagemaker_session=sess)

After you create the XGBoost estimator object, set its initial hyperparameter values as shown in the following code:

xgb.set_hyperparameters(eval_metric='auc', objective= 'binary:logistic', num_round=200, rate_drop=0.3, max_depth=5, subsample=0.8, gamma=2, eta=0.2, scale_pos_weight=2.85) #For class imbalance weights # Specifying the objective metric (auc on validation set)
OBJECTIVE_METRIC_NAME = ‘validation:auc’ # specifying the hyper parameters and their ranges
HYPERPARAMETER_RANGES = {'eta': ContinuousParameter(0, 1), 'alpha': ContinuousParameter(0, 2), 'max_depth': IntegerParameter(1, 10)}

For this post, AUC (area under the ROC curve) is the evaluation metric. This enables the tuning job to measure the performance of the different training jobs. The kick prediction is also a binary classification problem, which is specified in the objective argument as a binary:logistic. There is also a set of XGBoost-specific hyperparameters that you can tune. For more information, see Tune an XGBoost model.

Next, create a HyperparameterTuner object by indicating the XGBoost estimator, the hyperparameter ranges, passing the parameters, the objective metric name and definition, and tuning resource configurations, such as the number of training jobs to run in total and how many training jobs can run in parallel. Amazon SageMaker extracts the metric from Amazon CloudWatch Logs with a regular expression. See the following code:

tuner = HyperparameterTuner(xgb, OBJECTIVE_METRIC_NAME, HYPERPARAMETER_RANGES, max_jobs=20, max_parallel_jobs=4)
s3_input_train = sagemaker.s3_input(s3_data='s3://{}/{}/train'.format(BUCKET, PREFIX), content_type='csv')
s3_input_validation = sagemaker.s3_input(s3_data='s3://{}/{}/validation/'.format(BUCKET, PREFIX), content_type='csv')
tuner.fit({'train': s3_input_train, 'validation':

Finally, launch a hyperparameter tuning job by calling the fit() function. This function takes the paths of the training and validation datasets in the S3 bucket. After you create the hyperparameter tuning job, you can track its progress via the Amazon SageMaker console. The training time depends on the instance type and number of instances you selected during tuning setup.

Deploying the model on Amazon SageMaker

When the training jobs are complete, you can deploy the best performing model. If you’d like to compare models for A/B testing, Amazon SageMaker supports hosting representational state transfer (REST) endpoints for multiple models. To set this up, create an endpoint configuration that describes the distribution of traffic across the models. In addition, the endpoint configuration describes the instance type required for model deployment. The first step is to get the name of the best performing training job and create the model name.

After you create the endpoint configuration, you’re ready to deploy the actual endpoint for serving inference requests. The result is an endpoint that can you can validate and incorporate into production applications. For more information about deploying models, see Deploy the Model to Amazon SageMaker Hosting Services. To create the endpoint configuration and deploy it, enter the following code:

endpoint_name = 'Kicker-XGBoostEndpoint'
xgb_predictor = tuner.deploy(initial_instance_count=1, instance_type='ml.t2.medium', endpoint_name=endpoint_name)

After you create the endpoint, you can request a prediction in real time.

Building a RESTful API for real-time model inference

You can create a secure and scalable RESTful API that enables you to request the model prediction based on the input values. It’s easy and convenient to develop different APIs using AWS services.

The following diagram illustrates the model inference workflow.

First, you request the probability of the kick conversion by passing parameters through Amazon API Gateway, such as the location and zone of the kick, kicker ID, league and Championship ID, the game’s period, if the kicker’s team is playing home or away, and the team score status.

The API Gateway passes the values to the AWS Lambda function, which parses the values and requests additional features related to the player’s performance from DynamoDB lookup tables. These include the mean success rates of the kicking player in a given field zone, in the Championship, and in the kicker’s entire career. If the player doesn’t exist in the database, the model uses the average performance in the database in the given kicking location. After the function combines all the values, it standardizes the data and sends it to the Amazon SageMaker model endpoint for prediction.

The model performs the prediction and returns the predicted probability to the Lambda function. The function parses the returned value and sends it back to API Gateway. API Gateway responds with the output prediction. The end-to-end process latency is less than a second.

The following screenshot shows example input and output of the API. The RESTful API also outputs the average success rate of all the players in the given location and zone to get the comparison of the player’s performance with the overall average.

For instructions on creating a RESTful API, see Call an Amazon SageMaker model endpoint using Amazon API Gateway and AWS Lambda.

Bringing design principles into sports analytics

To create the first real-time prediction model for the tournament with a millisecond latency requirement, the ML Solutions Lab team worked backwards to identify areas in which design thinking could save time and resources. The team worked on an end-to-end notebook within an Amazon SageMaker environment, which enabled data access, raw data parsing, data preprocessing and visualization, feature engineering, model training and evaluation, and model deployment in one place. This helped in automating the modeling process.

Moreover, the ML Solutions Lab team implemented a model update iteration for when the model was updated with newly generated data, in which the model parses and processes only the additional data. This brings computational and time efficiencies to the modeling.

In terms of next steps, the Stats Perform AI team has been looking at the next stage of rugby analysis by breaking down the other strategic facets as line-outs, scrums and teams, and continuous phases of play using the fine-grain spatio-temporal data captured. The state-of-the-art feature representations and latent factor modelling (which have been utilized so effectively in Stats Perform’s “Edge” match-analysis and recruitment products in soccer) means that there is plenty of fertile space for innovation that can be explored in rugby.

Conclusion

Six Nations Rugby, Stats Perform, and AWS came together to bring the first real-time prediction model to the 2020 Guinness Six Nations Rugby Championship. The model determined a penalty or conversion kick success probability from anywhere in the field. They used Amazon SageMaker to build, train, and deploy the ML model with variables grouped into three main categories: location-based features, player performance features, and in-game situational features. The Amazon SageMaker endpoint provided prediction results with subsecond latency. The model was used by broadcasters during the live games in the Six Nations 2020 Championship, bringing a new metric to millions of rugby fans.

You can find full, end-to-end examples of creating custom training jobs, training state-of-the-art object detection models, and model deployment on Amazon SageMaker on the AWS Labs GitHub repo. To learn more about the ML Solutions Lab, see Amazon Machine Learning Solutions Lab.


About the Authors

Mehdi Noori is a Data Scientist at the Amazon ML Solutions Lab, where he works with customers across various verticals, and helps them to accelerate their cloud migration journey, and to solve their ML problems using state-of-the-art solutions and technologies.

Tesfagabir Meharizghi is a Data Scientist at the Amazon ML Solutions Lab where he works with customers across different verticals accelerate their use of artificial intelligence and AWS cloud services to solve their business challenges. Outside of work, he enjoys spending time with his family and reading books.

Patrick Lucey is the Chief Scientist at Stats Perform. Patrick started the Artificial Intelligence group at Stats Perform in 2015, with thegroup focusing on both computer vision and predictive modelling capabilities in sport. Previously, he was at Disney Research for 5 years, where he conducted research into automatic sports broadcasting using large amounts of spatiotemporal tracking data. He received his BEng(EE) from USQ and PhD from QUT, Australia in 2003 and 2008 respectively. He was also co-author of the best paper at the 2016 MIT Sloan Sports Analytics Conference and in 2017 & 2018 was co-author of best-paper runner-up at the same conference.

Xavier Ragot is Data Scientist with the Amazon ML Solution Lab team where he helps design creative ML solution to address customers’ business problems in various industries.

Source: https://aws.amazon.com/blogs/machine-learning/bringing-real-time-machine-learning-powered-insights-to-rugby-using-amazon-sagemaker/

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Bringing real-time machine learning-powered insights to rugby using Amazon SageMaker

The Guinness Six Nations Championship began in 1883 as the Home Nations Championship among England, Ireland, Scotland, and Wales, with the inclusion of France in 1910 and Italy in 2000. It is among the oldest surviving rugby traditions and one of the best-attended sporting events in the world. The COVID-19 outbreak disrupted the end of […]

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The Guinness Six Nations Championship began in 1883 as the Home Nations Championship among England, Ireland, Scotland, and Wales, with the inclusion of France in 1910 and Italy in 2000. It is among the oldest surviving rugby traditions and one of the best-attended sporting events in the world. The COVID-19 outbreak disrupted the end of the 2020 Championship and four games were postponed. The remaining rounds resumed on October 24. With the increasing application of artificial intelligence and machine learning (ML) in sports analytics, AWS and Stats Perform partnered to bring ML-powered, real-time stats to the game of rugby, to enhance fan engagement and provide valuable insights into the game.

This post summarizes the collaborative effort between the Guinness Six Nations Rugby Championship, Stats Perform, and AWS to develop an ML-driven approach with Amazon SageMaker and other AWS services that predicts the probability of a successful penalty kick, computed in real time and broadcast live during the game. AWS infrastructure enables single-digit millisecond latency for kick predictions during inference. The Kick Predictor stat is one of the many new AWS-powered, on-screen dynamic Matchstats that provide fans with a greater understanding of key in-game events, including scrum analysis, play patterns, rucks and tackles, and power game analysis. For more information about other stats developed for rugby using AWS services, see the Six Nations Rugby website.

Rugby is a form of football with a 23-player match day squad. 15 players on each team are on the field, with additional substitutions waiting to get involved in the full-contact sport. The objective of the game is to outscore the opposing team, and one way of scoring is to kick a goal. The ability to kick accurately is one of the most critical elements of rugby, and there are two ways to score with a kick: through a conversion (worth two points) and a penalty (worth three points).

Predicting the likelihood of a successful kick is important because it enhances fan engagement during the game by showing the success probability before the player kicks the ball. There are usually 40–60 seconds of stoppage time while the player sets up for the kick, during which the Kick Predictor stat can appear on-screen to fans. Commentators also have time to predict the outcome, quantify the difficulty of each kick, and compare kickers in similar situations. Moreover, teams may start to use kicking probability models in the future to determine which player should kick given the position of the penalty on the pitch.

Developing an ML solution

To calculate the penalty success probability, the Amazon Machine Learning Solutions Lab used Amazon SageMaker to train, test, and deploy an ML model from historical in-game events data, which calculates the kick predictions from anywhere in the field. The following sections explain the dataset and preprocessing steps, the model training, and model deployment procedures.

Dataset and preprocessing

Stats Perform provided the dataset for training the goal kick model. It contained millions of events from historical rugby matches from 46 leagues from 2007–2019. The raw JSON events data that was collected during live rugby matches was ingested and stored on Amazon Simple Storage Service (Amazon S3). It was then parsed and preprocessed in an Amazon SageMaker notebook instance. After selecting the kick-related events, the training data comprised approximately 67,000 kicks, with approximately 50,000 (75%) successful kicks and 17,000 misses (25%).

The following graph shows a summary of kicks taken during a sample game. The athletes kicked from different angles and various distances.

Rugby experts contributed valuable insights to the data preprocessing, which included detecting and removing anomalies, such as unreasonable kicks. The clean CSV data went back to an S3 bucket for ML training.

The following graph depicts the heatmap of the kicks after preprocessing. The left-side kicks are mirrored. The brighter colors indicated a higher chance of scoring, standardized between 0 to 1.

Feature engineering

To better capture the real-world event, the ML Solutions Lab engineered several features using exploratory data analysis and insights from rugby experts. The features that went into the modeling fell into three main categories:

  • Location-based features – The zone in which the athlete takes the kick and the distance and angle of the kick to the goal. The x-coordinates of the kicks are mirrored along the center of the rugby pitch to eliminate the left or right bias in the model.
  • Player performance features – The mean success rates of the kicker in a given field zone, in the Championship, and in the kicker’s entire career.
  • In-game situational features – The kicker’s team (home or away), the scoring situation before they take the kick, and the period of the game in which they take the kick.

The location-based and player performance features are the most important features in the model.

After feature engineering, the categorical variables were one-hot encoded, and to avoid the bias of the model towards large-value variables, the numerical predictors were standardized. During the model training phase, a player’s historical performance features were pushed to Amazon DynamoDB tables. DynamoDB helped provide single-digit millisecond latency for kick predictions during inference.

Training and deploying models

To explore a wide range of classification algorithms (such as logistic regression, random forests, XGBoost, and neural networks), a 10-fold stratified cross-validation approach was used for model training. After exploring different algorithms, the built-in XGBoost in Amazon SageMaker was used due to its better prediction performance and inference speed. Additionally, its implementation has a smaller memory footprint, better logging, and improved hyperparameter optimization (HPO) compared to the original code base.

HPO, or tuning, is the process of choosing a set of optimal hyperparameters for a learning algorithm, and is a challenging element in any ML problem. HPO in Amazon SageMaker uses an implementation of Bayesian optimization to choose the best hyperparameters for the next training job. Amazon SageMaker HPO automatically launches multiple training jobs with different hyperparameter settings, evaluates the results of those training jobs based on a predefined objective metric, and selects improved hyperparameter settings for future attempts based on previous results.

The following diagram illustrates the model training workflow.

Optimizing hyperparameters in Amazon SageMaker

You can configure training jobs and when the hyperparameter tuning job launches by initializing an estimator, which includes the container image for the algorithm (for this use case, XGBoost), configuration for the output of the training jobs, the values of static algorithm hyperparameters, and the type and number of instances to use for the training jobs. For more information, see Train a Model.

To create the XGBoost estimator for this use case, enter the following code:

import boto3
import sagemaker
from sagemaker.tuner import IntegerParameter, CategoricalParameter, ContinuousParameter, HyperparameterTuner
from sagemaker.amazon.amazon_estimator import get_image_uri
BUCKET = <bucket name>
PREFIX = 'kicker/xgboost/'
region = boto3.Session().region_name
role = sagemaker.get_execution_role()
smclient = boto3.Session().client('sagemaker')
sess = sagemaker.Session()
s3_output_path = ‘s3://{}/{}/output’.format(BUCKET, PREFIX) container = get_image_uri(region, 'xgboost', repo_version='0.90-1') xgb = sagemaker.estimator.Estimator(container, role, train_instance_count=4, train_instance_type= 'ml.m4.xlarge', output_path=s3_output_path, sagemaker_session=sess)

After you create the XGBoost estimator object, set its initial hyperparameter values as shown in the following code:

xgb.set_hyperparameters(eval_metric='auc', objective= 'binary:logistic', num_round=200, rate_drop=0.3, max_depth=5, subsample=0.8, gamma=2, eta=0.2, scale_pos_weight=2.85) #For class imbalance weights # Specifying the objective metric (auc on validation set)
OBJECTIVE_METRIC_NAME = ‘validation:auc’ # specifying the hyper parameters and their ranges
HYPERPARAMETER_RANGES = {'eta': ContinuousParameter(0, 1), 'alpha': ContinuousParameter(0, 2), 'max_depth': IntegerParameter(1, 10)}

For this post, AUC (area under the ROC curve) is the evaluation metric. This enables the tuning job to measure the performance of the different training jobs. The kick prediction is also a binary classification problem, which is specified in the objective argument as a binary:logistic. There is also a set of XGBoost-specific hyperparameters that you can tune. For more information, see Tune an XGBoost model.

Next, create a HyperparameterTuner object by indicating the XGBoost estimator, the hyperparameter ranges, passing the parameters, the objective metric name and definition, and tuning resource configurations, such as the number of training jobs to run in total and how many training jobs can run in parallel. Amazon SageMaker extracts the metric from Amazon CloudWatch Logs with a regular expression. See the following code:

tuner = HyperparameterTuner(xgb, OBJECTIVE_METRIC_NAME, HYPERPARAMETER_RANGES, max_jobs=20, max_parallel_jobs=4)
s3_input_train = sagemaker.s3_input(s3_data='s3://{}/{}/train'.format(BUCKET, PREFIX), content_type='csv')
s3_input_validation = sagemaker.s3_input(s3_data='s3://{}/{}/validation/'.format(BUCKET, PREFIX), content_type='csv')
tuner.fit({'train': s3_input_train, 'validation':

Finally, launch a hyperparameter tuning job by calling the fit() function. This function takes the paths of the training and validation datasets in the S3 bucket. After you create the hyperparameter tuning job, you can track its progress via the Amazon SageMaker console. The training time depends on the instance type and number of instances you selected during tuning setup.

Deploying the model on Amazon SageMaker

When the training jobs are complete, you can deploy the best performing model. If you’d like to compare models for A/B testing, Amazon SageMaker supports hosting representational state transfer (REST) endpoints for multiple models. To set this up, create an endpoint configuration that describes the distribution of traffic across the models. In addition, the endpoint configuration describes the instance type required for model deployment. The first step is to get the name of the best performing training job and create the model name.

After you create the endpoint configuration, you’re ready to deploy the actual endpoint for serving inference requests. The result is an endpoint that can you can validate and incorporate into production applications. For more information about deploying models, see Deploy the Model to Amazon SageMaker Hosting Services. To create the endpoint configuration and deploy it, enter the following code:

endpoint_name = 'Kicker-XGBoostEndpoint'
xgb_predictor = tuner.deploy(initial_instance_count=1, instance_type='ml.t2.medium', endpoint_name=endpoint_name)

After you create the endpoint, you can request a prediction in real time.

Building a RESTful API for real-time model inference

You can create a secure and scalable RESTful API that enables you to request the model prediction based on the input values. It’s easy and convenient to develop different APIs using AWS services.

The following diagram illustrates the model inference workflow.

First, you request the probability of the kick conversion by passing parameters through Amazon API Gateway, such as the location and zone of the kick, kicker ID, league and Championship ID, the game’s period, if the kicker’s team is playing home or away, and the team score status.

The API Gateway passes the values to the AWS Lambda function, which parses the values and requests additional features related to the player’s performance from DynamoDB lookup tables. These include the mean success rates of the kicking player in a given field zone, in the Championship, and in the kicker’s entire career. If the player doesn’t exist in the database, the model uses the average performance in the database in the given kicking location. After the function combines all the values, it standardizes the data and sends it to the Amazon SageMaker model endpoint for prediction.

The model performs the prediction and returns the predicted probability to the Lambda function. The function parses the returned value and sends it back to API Gateway. API Gateway responds with the output prediction. The end-to-end process latency is less than a second.

The following screenshot shows example input and output of the API. The RESTful API also outputs the average success rate of all the players in the given location and zone to get the comparison of the player’s performance with the overall average.

For instructions on creating a RESTful API, see Call an Amazon SageMaker model endpoint using Amazon API Gateway and AWS Lambda.

Bringing design principles into sports analytics

To create the first real-time prediction model for the tournament with a millisecond latency requirement, the ML Solutions Lab team worked backwards to identify areas in which design thinking could save time and resources. The team worked on an end-to-end notebook within an Amazon SageMaker environment, which enabled data access, raw data parsing, data preprocessing and visualization, feature engineering, model training and evaluation, and model deployment in one place. This helped in automating the modeling process.

Moreover, the ML Solutions Lab team implemented a model update iteration for when the model was updated with newly generated data, in which the model parses and processes only the additional data. This brings computational and time efficiencies to the modeling.

In terms of next steps, the Stats Perform AI team has been looking at the next stage of rugby analysis by breaking down the other strategic facets as line-outs, scrums and teams, and continuous phases of play using the fine-grain spatio-temporal data captured. The state-of-the-art feature representations and latent factor modelling (which have been utilized so effectively in Stats Perform’s “Edge” match-analysis and recruitment products in soccer) means that there is plenty of fertile space for innovation that can be explored in rugby.

Conclusion

Six Nations Rugby, Stats Perform, and AWS came together to bring the first real-time prediction model to the 2020 Guinness Six Nations Rugby Championship. The model determined a penalty or conversion kick success probability from anywhere in the field. They used Amazon SageMaker to build, train, and deploy the ML model with variables grouped into three main categories: location-based features, player performance features, and in-game situational features. The Amazon SageMaker endpoint provided prediction results with subsecond latency. The model was used by broadcasters during the live games in the Six Nations 2020 Championship, bringing a new metric to millions of rugby fans.

You can find full, end-to-end examples of creating custom training jobs, training state-of-the-art object detection models, and model deployment on Amazon SageMaker on the AWS Labs GitHub repo. To learn more about the ML Solutions Lab, see Amazon Machine Learning Solutions Lab.


About the Authors

Mehdi Noori is a Data Scientist at the Amazon ML Solutions Lab, where he works with customers across various verticals, and helps them to accelerate their cloud migration journey, and to solve their ML problems using state-of-the-art solutions and technologies.

Tesfagabir Meharizghi is a Data Scientist at the Amazon ML Solutions Lab where he works with customers across different verticals accelerate their use of artificial intelligence and AWS cloud services to solve their business challenges. Outside of work, he enjoys spending time with his family and reading books.

Patrick Lucey is the Chief Scientist at Stats Perform. Patrick started the Artificial Intelligence group at Stats Perform in 2015, with thegroup focusing on both computer vision and predictive modelling capabilities in sport. Previously, he was at Disney Research for 5 years, where he conducted research into automatic sports broadcasting using large amounts of spatiotemporal tracking data. He received his BEng(EE) from USQ and PhD from QUT, Australia in 2003 and 2008 respectively. He was also co-author of the best paper at the 2016 MIT Sloan Sports Analytics Conference and in 2017 & 2018 was co-author of best-paper runner-up at the same conference.

Xavier Ragot is Data Scientist with the Amazon ML Solution Lab team where he helps design creative ML solution to address customers’ business problems in various industries.

Source: https://aws.amazon.com/blogs/machine-learning/bringing-real-time-machine-learning-powered-insights-to-rugby-using-amazon-sagemaker/

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