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We introduce a quantitative framework for separating skill and chance in games by modeling them as complementary sources of control over stochastic decision trees. We define the Skill-Luck Index S(G) in [-1, 1] by decomposing game outcomes…

Artificial Intelligence · Computer Science 2025-11-18 David H. Silver

We introduce the notion of a reproducible algorithm in the context of learning. A reproducible learning algorithm is resilient to variations in its samples -- with high probability, it returns the exact same output when run on two samples…

Machine Learning · Computer Science 2023-04-17 Russell Impagliazzo , Rex Lei , Toniann Pitassi , Jessica Sorrell

Scribble-based weakly supervised semantic segmentation leverages only a few annotated pixels as labels to train a segmentation model, presenting significant potential for reducing the human labor involved in the annotation process. This…

Computer Vision and Pattern Recognition · Computer Science 2025-03-19 Xinliang Zhang , Lei Zhu , Shuang Zeng , Hangzhou He , Ourui Fu , Zhengjian Yao , Zhaoheng Xie , Yanye Lu

Self-supervised contrastive learning (CL) has achieved state-of-the-art performance in representation learning by minimizing the distance between positive pairs while maximizing that of negative ones. Recently, it has been verified that the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Jin-Young Kim , Soonwoo Kwon , Hyojun Go , Yunsung Lee , Seungtaek Choi , Hyun-Gyoon Kim

The use of children's drawings to examining their conceptual understanding has been proven to be an effective method, but there are two major problems with previous research: 1. The content of the drawings heavily relies on the task, and…

Computation and Language · Computer Science 2025-08-28 Yi Zhang , Fan Wei , Jingyi Li , Yan Wang , Yanyan Yu , Jianli Chen , Zipo Cai , Xinyu Liu , Wei Wang , Sensen Yao , Peng Wang , Zhong Wang

We study how reasoning evolves in a language model -- from supervised fine-tuning (SFT) to reinforcement learning (RL) -- by analyzing how a set of theoretically-inspired datasets influences language model performance in chess. We find that…

Machine Learning · Computer Science 2026-05-05 Lucas Dionisopoulos , Nicklas Majamaki , Prithviraj Ammanabrolu

Machine learning has achieved remarkable success across a wide range of applications, yet many of its most effective methods rely on access to large amounts of labeled data or extensive online interaction. In practice, acquiring…

Machine Learning · Computer Science 2026-01-01 Yinglun Zhu

We examine the problem of regret minimization when the learner is involved in a continuous game with other optimizing agents: in this case, if all players follow a no-regret algorithm, it is possible to achieve significantly lower regret…

Computer Science and Game Theory · Computer Science 2023-03-20 Yu-Guan Hsieh , Kimon Antonakopoulos , Volkan Cevher , Panayotis Mertikopoulos

We introduce Coarse Q-learning (CQL), a reinforcement-learning model for bandit problems with stochastically varying menus. Alternatives are exogenously partitioned into similarity classes, and feedback from sampled alternatives is pooled…

Theoretical Economics · Economics 2026-05-13 Philippe Jehiel , Aviman Satpathy

Figurative drawing is a skill that takes time to learn, and evolves during different childhood phases that begin with scribbling and end with representational drawing. Between these phases, it is difficult to assess when and how children…

Methodology · Statistics 2021-09-07 Cédric Sueur , Lison Martinet , Benjamin Beltzung , Marie Pelé

In imperfect information games, the evaluation of a game state not only depends on the observable world but also relies on hidden parts of the environment. As accessing the obstructed information trivialises state evaluations, one approach…

Artificial Intelligence · Computer Science 2024-07-15 Timo Bertram , Johannes Fürnkranz , Martin Müller

This paper discusses the effects of social learning in training of game playing agents. The training of agents in a social context instead of a self-play environment is investigated. Agents that use the reinforcement learning algorithms are…

Artificial Intelligence · Computer Science 2008-10-21 Vukosi N. Marivate , Tshilidzi Marwala

Contrastive learning, along with its variations, has been a highly effective self-supervised learning method across diverse domains. Contrastive learning measures the distance between representations using cosine similarity and uses…

Machine Learning · Computer Science 2023-10-11 Daniel Rho , TaeSoo Kim , Sooill Park , Jaehyun Park , JaeHan Park

A fundamental challenge in interactive learning and decision making, ranging from bandit problems to reinforcement learning, is to provide sample-efficient, adaptive learning algorithms that achieve near-optimal regret. This question is…

Machine Learning · Computer Science 2023-07-12 Dylan J. Foster , Sham M. Kakade , Jian Qian , Alexander Rakhlin

Learning processes in games explain how players grapple with one another in seeking an equilibrium. We study a natural model of learning based on individual gradients in two-player continuous games. In such games, the arguably natural…

Computer Science and Game Theory · Computer Science 2020-11-10 Benjamin J. Chasnov , Daniel Calderone , Behçet Açıkmeşe , Samuel A. Burden , Lillian J. Ratliff

The aim of this study is to construct and compose an instructional design in combinatorial learning, particularly in the concept of counting. A composed design is expected to optimize students' combinatorial-thinking skill. This research…

History and Overview · Mathematics 2021-04-02 I. R. Ihsan , N. Karjanto

While reinforcement learning (RL) has been successful in natural language processing (NLP) domains such as dialogue generation and text-based games, it typically faces the problem of sparse rewards that leads to slow or no convergence.…

Computation and Language · Computer Science 2020-10-07 Ameet Deshpande , Eve Fleisig

Reinforcement learning with verifiable rewards (RLVR) scales the reasoning ability of large language models (LLMs) but remains bottlenecked by limited labeled samples for continued data scaling. Reinforcement learning with intrinsic rewards…

Machine Learning · Computer Science 2025-10-13 Chuyi Tan , Peiwen Yuan , Xinglin Wang , Yiwei Li , Shaoxiong Feng , Yueqi Zhang , Jiayi Shi , Ji Zhang , Boyuan Pan , Yao Hu , Kan Li

As evaluation designs of large language models may shape our trajectory toward artificial general intelligence, comprehensive and forward-looking assessment is essential. Existing benchmarks primarily assess static knowledge, while…

Computation and Language · Computer Science 2025-08-07 Jiayin Wang , Zhiquang Guo , Weizhi Ma , Min Zhang

Optimizing data movements during program executions is essential for achieving high performance in modern computing systems. This has been classically modeled with the Red-Blue Pebble Game and its variants. In existing models, it is…

Data Structures and Algorithms · Computer Science 2026-03-10 Aleksandros Sobczyk