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The sliding window model generalizes the standard streaming model and often performs better in applications where recent data is more important or more accurate than data that arrived prior to a certain time. We study the problem of…

Data Structures and Algorithms · Computer Science 2021-09-06 Vladimir Braverman , Viska Wei , Samson Zhou

The use of tiered warnings and multicategorical forecasts are ubiquitous in meteorological operations. Here, a flexible family of scoring functions is presented for evaluating the performance of ordered multicategorical forecasts. Each…

Applications · Statistics 2022-05-02 Robert Taggart , Nicholas Loveday , Deryn Griffiths

Adversarial Imitation Learning is traditionally framed as a two-player zero-sum game between a learner and an adversarially chosen cost function, and can therefore be thought of as the sequential generalization of a Generative Adversarial…

Machine Learning · Computer Science 2025-03-04 Runzhe Wu , Yiding Chen , Gokul Swamy , Kianté Brantley , Wen Sun

In this paper, we develop a logistic regression model to estimate the probability that a particular shot in an NHL game will result in a goal, and use the results to evaluate the performance of NHL skaters, goalies, and teams. We weight…

Applications · Statistics 2012-05-09 Brian Macdonald , Craig Lennon , Rodney Sturdivant

The stochastic multi-armed bandit setting has been recently studied in the non-stationary regime, where the mean payoff of each action is a non-decreasing function of the number of rounds passed since it was last played. This model captures…

Machine Learning · Computer Science 2022-10-13 Orestis Papadigenopoulos , Constantine Caramanis , Sanjay Shakkottai

In decision-dependent games, multiple players optimize their decisions under a data distribution that shifts with their joint actions, creating complex dynamics in applications like market pricing. A practical consequence of these dynamics…

Computer Science and Game Theory · Computer Science 2025-09-04 Guangzheng Zhong , Yang Liu , Jiming Liu

The Pythagorean formula is one of the most popular ways to measure the true ability of a team. It is very easy to use, estimating a team's winning percentage from the runs they score and allow. This data is readily available on standings…

History and Overview · Mathematics 2014-06-04 Steven J. Miller , Taylor Corcoran , Jennifer Gossels , Victor Luo , Jaclyn Porfilio

We propose the nuclear norm penalty as an alternative to the ridge penalty for regularized multinomial regression. This convex relaxation of reduced-rank multinomial regression has the advantage of leveraging underlying structure among the…

Machine Learning · Statistics 2025-06-09 Scott Powers , Trevor Hastie , Robert Tibshirani

Bias in data collection, arising from both under-reporting and over-reporting, poses significant challenges in critical applications such as healthcare and public safety. In this work, we introduce Graph-based Over- and Under-reporting…

Methodology · Statistics 2025-04-22 Dongze Wu , Hanyang Jiang , Yao Xie

Classical objectives in two-player zero-sum games played on graphs often deal with limit behaviors of infinite plays: e.g., mean-payoff and total-payoff in the quantitative setting, or parity in the qualitative one (a canonical way to…

Logic in Computer Science · Computer Science 2016-09-21 Véronique Bruyère , Quentin Hautem , Mickael Randour

Search in test time is often used to improve the performance of reinforcement learning algorithms. Performing theoretically sound search in fully adversarial two-player games with imperfect information is notoriously difficult and requires…

Computer Science and Game Theory · Computer Science 2025-01-30 Ondrej Kubicek , Neil Burch , Viliam Lisy

Existing offline hierarchical reinforcement learning methods rely on high-level policy learning to generate subgoal sequences. However, their efficiency degrades as task horizons increase, and they lack effective strategies for stitching…

Machine Learning · Computer Science 2025-07-08 Seungho Baek , Taegeon Park , Jongchan Park , Seungjun Oh , Yusung Kim

This paper studies random reshuffling (RR)-based distributed Nash equilibrium seeking for noncooperative games. The game is motivated as a sample-average approximation of an underlying expected-value stochastic game, while the algorithmic…

Optimization and Control · Mathematics 2026-04-06 Jun Hu , Chao Sun , Chen Bo , Jianzheng Wang , Zheming Wang

The utilization of the experience replay mechanism enables agents to effectively leverage their experiences on several occasions. In previous studies, the sampling probability of the transitions was modified based on their relative…

Machine Learning · Computer Science 2024-06-14 Arda Sarp Yenicesu , Furkan B. Mutlu , Suleyman S. Kozat , Ozgur S. Oguz

Accurately estimating human skill levels is crucial for designing effective human-AI interactions so that AI can provide appropriate challenges or guidance. In games where AI players have beaten top human professionals, strength estimation…

Machine Learning · Computer Science 2025-05-02 Kyota Kuboki , Tatsuyoshi Ogawa , Chu-Hsuan Hsueh , Shi-Jim Yen , Kokolo Ikeda

In reinforcement learning, experience replay stores past samples for further reuse. Prioritized sampling is a promising technique to better utilize these samples. Previous criteria of prioritization include TD error, recentness and…

Machine Learning · Computer Science 2021-11-10 Xu-Hui Liu , Zhenghai Xue , Jing-Cheng Pang , Shengyi Jiang , Feng Xu , Yang Yu

The optimal policy of a reinforcement learning problem is often discontinuous and non-smooth. I.e., for two states with similar representations, their optimal policies can be significantly different. In this case, representing the entire…

Machine Learning · Computer Science 2020-02-10 Zhimin Hou , Kuangen Zhang , Yi Wan , Dongyu Li , Chenglong Fu , Haoyong Yu

In order to solve a task using reinforcement learning, it is necessary to first formalise the goal of that task as a reward function. However, for many real-world tasks, it is very difficult to manually specify a reward function that never…

Machine Learning · Computer Science 2024-12-13 Joar Skalse , Lucy Farnik , Sumeet Ramesh Motwani , Erik Jenner , Adam Gleave , Alessandro Abate

Reinforcement learning is structurally harder than supervised learning because the policy changes the data distribution it learns from. The resulting fragility is especially visible in large-model training, where the training and rollout…

Machine Learning · Computer Science 2026-05-13 Rasool Fakoor , Murdock Aubry , Nicholas Stranges , Alexander J. Smola

In this lecture note, we introduce the basic concepts of game theory (GT), a branch of mathematics traditionally studied and applied in the areas of economics, political science, and biology, which has emerged in the last fifteen years as…

Computer Science and Game Theory · Computer Science 2023-07-19 Giacomo Bacci , Luca Sanguinetti , Marco Luise