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The current state-of-the-art Scrabble agents are not learning-based but depend on truncated Monte Carlo simulations and the quality of such agents is contingent upon the time available for running the simulations. This thesis takes steps…

Artificial Intelligence · Computer Science 2019-01-28 Rishabh Agarwal

The crossword-like patterns of tiles in Scrabble form connected graphs of occupied sites on a square lattice. We find the most structureless description that reproduces means and covariances observed in real Scrabble games by adapting a…

Biological Physics · Physics 2026-05-04 Olivier Witteveen , Marianne Bauer

In the game of Scrabble, letter tiles are drawn uniformly at random from a bag. The variability of possible draws as the game progresses is a source of variation that makes it more likely for an inferior player to win a head-to-head match…

Applications · Statistics 2011-11-02 Andrew C. Thomas

In recent years, reinforcement learning has seen interest because of deep Q-Learning, where the model is a convolutional neural network. Deep Q-Learning has shown promising results in games such as Atari and AlphaGo. Instead of learning the…

Machine Learning · Computer Science 2021-10-08 Anav Mehta

Blackjack or "21" is a popular card-based game of chance and skill. The objective of the game is to win by obtaining a hand total higher than the dealer's without exceeding 21. The ideal blackjack strategy will maximize financial return in…

Artificial Intelligence · Computer Science 2023-08-16 Avish Buramdoyal , Tim Gebbie

It is well known that in games with imperfect information, such as poker, bluffing with some probability can be a component of the optimal strategy. However, as far as we know, nobody has ever exhibited a Scrabble position in which the…

History and Overview · Mathematics 2025-09-16 Nick Ballard , Timothy Y. Chow

Reinforcement learning has received significant interest in recent years, due primarily to the successes of deep reinforcement learning at solving many challenging tasks such as playing Chess, Go and online computer games. However, with the…

Machine Learning · Computer Science 2022-03-24 Laura L. Pullum

Surprise describes a range of phenomena from unexpected events to behavioral responses. We propose a measure of surprise and use it for surprise-driven learning. Our surprise measure takes into account data likelihood as well as the degree…

Machine Learning · Statistics 2017-03-03 Mohammadjavad Faraji , Kerstin Preuschoff , Wulfram Gerstner

We develop a flexible stochastic approximation framework for analyzing the long-run behavior of learning in games (both continuous and finite). The proposed analysis template incorporates a wide array of popular learning algorithms,…

Computer Science and Game Theory · Computer Science 2023-07-04 Panayotis Mertikopoulos , Ya-Ping Hsieh , Volkan Cevher

Learning about many things can provide numerous benefits to a reinforcement learning system. For example, learning many auxiliary value functions, in addition to optimizing the environmental reward, appears to improve both exploration and…

Machine Learning · Computer Science 2020-08-25 Cam Linke , Nadia M. Ady , Martha White , Thomas Degris , Adam White

Good storytelling involves surprise -- unpredictability in how the story unfolds -- and sense-making, the requirement that the story forms a coherent sequence. However, to date, these two qualities have largely been addressed in isolation.…

Computation and Language · Computer Science 2026-05-13 Eitan Wagner , Renana Keydar , Omri Abend

This paper presents a data-driven statistical framework to quantify the role of skill in games, addressing the long-standing question of whether success in a game is predominantly driven by skill or chance. We analyze player level data from…

Computer Science and Game Theory · Computer Science 2025-05-28 Tathagata Banerjee , Anushka De , Subhamoy Maitra , Diganta Mukherjee

We initiate the study of structured Stackelberg games, a novel form of strategic interaction between a leader and a follower where contextual information can be predictive of the follower's (unknown) type. Motivated by applications such as…

Computer Science and Game Theory · Computer Science 2026-05-18 Maria-Florina Balcan , Kiriaki Fragkia , Keegan Harris

Educational games are being increasingly used to support self-paced learning. However, educators and system designers often face challenges in monitoring student affect and cognitive load. Existing assessments in game-based learning…

Human-Computer Interaction · Computer Science 2024-05-10 Minghao Cai , Carrie Demmans Epp

Games are often designed to shape player behavior in a desired way; however, it can be unclear how design decisions affect the space of behaviors in a game. Designers usually explore this space through human playtesting, which can be…

Artificial Intelligence · Computer Science 2019-08-06 Alexander Zook , Brent Harrison , Mark O. Riedl

Mitigating the negative impact of noisy labels has been aperennial issue in supervised learning. Robust loss functions have emerged as a prevalent solution to this problem. In this work, we introduce the Variation Ratio as a novel property…

Machine Learning · Computer Science 2025-11-18 Jialiang Wang , Xiong Zhou , Xianming Liu , Gangfeng Hu , Deming Zhai , Junjun Jiang , Haoliang Li

This note investigates the combinatorics of permutations underlying the NYT daily word game Waffle. It helps to solve Waffle games and helps to understand why some games are easy to solve while others are very hard. It shows that a perfect…

History and Overview · Mathematics 2026-04-13 S. P. Glasby

Games often incorporate random elements in the form of dice or shuffled card decks. This randomness is a key contributor to the player experience and the variety of game situations encountered. There is a tension between a level of…

Artificial Intelligence · Computer Science 2025-03-05 James Goodman , Diego Perez-Liebana , Simon Lucas

When a game involves many agents or when communication between agents is not possible, it is useful to resort to distributed learning where each agent acts in complete autonomy without any information on the other agents' situations.…

Optimization and Control · Mathematics 2025-09-24 Jérôme Taupin , Xavier Leturc , Christophe J. Le Martret

Human beings use compositionality to generalise from past experiences to novel experiences. We assume a separation of our experiences into fundamental atomic components that can be recombined in novel ways to support our ability to engage…

Computation and Language · Computer Science 2023-12-20 Kevin Denamganaï , Sondess Missaoui , James Alfred Walker
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