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Sports tracking data are the high-resolution spatiotemporal observations of a competitive event. The growing collection of these data in professional sport allows us to address a fundamental problem of modern sport: how to attribute value…

Applications · Statistics 2020-05-27 Stephanie Kovalchik , Martin Ingram , Kokum Weeratunga , Cagatay Goncu

Binary data matrices can represent many types of data such as social networks, votes, or gene expression. In some cases, the analysis of binary matrices can be tackled with nonnegative matrix factorization (NMF), where the observed data…

Machine Learning · Statistics 2020-06-23 Alberto Lumbreras , Louis Filstroff , Cédric Févotte

Nonnegative matrix factorization (NMF) has been actively investigated and used in a wide range of problems in the past decade. A significant amount of attention has been given to develop NMF algorithms that are suitable to model time series…

Machine Learning · Computer Science 2017-09-04 Nasser Mohammadiha , Paris Smaragdis , Ghazaleh Panahandeh , Simon Doclo

Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

Optimization and Control · Mathematics 2012-08-13 Nicolas Gillis , François Glineur

Matrix factorization is a key component of collaborative filtering-based recommendation systems because it allows us to complete sparse user-by-item ratings matrices under a low-rank assumption that encodes the belief that similar users…

Machine Learning · Statistics 2016-04-22 Aleksandr Y. Aravkin , Kush R. Varshney , Liu Yang

We present an algorithm for learning the intrinsic value of a batted ball in baseball. This work addresses the fundamental problem of separating the value of a batted ball at contact from factors such as the defense, weather, and ballpark…

Applications · Statistics 2016-03-02 Glenn Healey

In this paper, we present Mambanet: a hybrid neural network for predicting the outcomes of Basketball games. Contrary to other studies, which focus primarily on season games, this study investigates playoff games. MambaNet is a hybrid…

Machine Learning · Computer Science 2022-11-01 Reza Khanmohammadi , Sari Saba-Sadiya , Sina Esfandiarpour , Tuka Alhanai , Mohammad M. Ghassemi

The increasing use of artificial intelligence (AI) technology in turn-based sports, such as badminton, has sparked significant interest in evaluating strategies through the analysis of match video data. Predicting future shots based on past…

Artificial Intelligence · Computer Science 2024-04-09 Minwoo Seong , Jeongseok Oh , SeungJun Kim

Tracking sports players is a widely challenging scenario, specially in single-feed videos recorded in tight courts, where cluttering and occlusions cannot be avoided. This paper presents an analysis of several geometric and semantic visual…

Computer Vision and Pattern Recognition · Computer Science 2019-07-11 Adrià Arbués-Sangüesa , Coloma Ballester , Gloria Haro

Linear dimensionality reduction techniques are powerful tools for image analysis as they allow the identification of important features in a data set. In particular, nonnegative matrix factorization (NMF) has become very popular as it is…

Computer Vision and Pattern Recognition · Computer Science 2016-10-07 Gabriella Casalino , Nicolas Gillis

In sports analytics, player tracking data have driven significant advancements in the task of player evaluation. We present a novel generative framework for evaluating the observed frame-by-frame player positioning against a distribution of…

Applications · Statistics 2026-03-24 Quang Nguyen , Ronald Yurko

The ever-increasing parameter counts of deep learning models necessitate effective compression techniques for deployment on resource-constrained devices. This paper explores the application of information geometry, the study of…

Machine Learning · Computer Science 2025-07-15 Zakhar Shumaylov , Vasileios Tsiaras , Yannis Stylianou

Analysis of player movements is a crucial subset of sports analysis. Existing player movement analysis methods use recorded videos after the match is over. In this work, we propose an end-to-end framework for player movement analysis for…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Nitin Nilesh , Tushar Sharma , Anurag Ghosh , C. V. Jawahar

Non-negative Matrix Factorization (NMF) has proven to be a powerful unsupervised learning method for uncovering hidden features in complex and noisy data sets with applications in data mining, text recognition, dimension reduction, face…

We present BASKET, a large-scale basketball video dataset for fine-grained skill estimation. BASKET contains 4,477 hours of video capturing 32,232 basketball players from all over the world. Compared to prior skill estimation datasets, our…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Yulu Pan , Ce Zhang , Gedas Bertasius

Modern robotics often involves multiple embodied agents operating within a shared environment. Path planning in these cases is considerably more challenging than in single-agent scenarios. Although standard Sampling-based Algorithms (SBAs)…

Robotics · Computer Science 2023-04-04 Alessandro Zanardi , Pietro Zullo , Andrea Censi , Emilio Frazzoli

Addressing the interpretability problem of NMF on Boolean data, Boolean Matrix Factorization (BMF) uses Boolean algebra to decompose the input into low-rank Boolean factor matrices. These matrices are highly interpretable and very useful in…

Machine Learning · Computer Science 2023-07-18 Sebastian Dalleiger , Jilles Vreeken

As we all known, the nonnegative matrix factorization (NMF) is a dimension reduction method that has been widely used in image processing, text compressing and signal processing etc. In this paper, an algorithm for nonnegative matrix…

Numerical Analysis · Mathematics 2013-05-27 Shu-Zhen Lai , Hou-Biao Li , Zu-Tao Zhang

Matrix factorisation methods decompose multivariate observations as linear combinations of latent feature vectors. The Indian Buffet Process (IBP) provides a way to model the number of latent features required for a good approximation in…

Machine Learning · Statistics 2017-04-14 Matthew C. Pearce , Simon R. White

The development of randomized algorithms for numerical linear algebra, e.g. for computing approximate QR and SVD factorizations, has recently become an intense area of research. This paper studies one of the most frequently discussed…

Numerical Analysis · Computer Science 2013-08-28 Rafi Witten , Emmanuel Candes