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We study the role of the representation of state-action value functions in regret minimization in finite-horizon Markov Decision Processes (MDPs) with linear structure. We first derive a necessary condition on the representation, called…

Machine Learning · Computer Science 2021-10-29 Matteo Papini , Andrea Tirinzoni , Aldo Pacchiano , Marcello Restelli , Alessandro Lazaric , Matteo Pirotta

The key to success in machine learning (ML) is the use of effective data representations. Traditionally, data representations were hand-crafted. Recently it has been demonstrated that, given sufficient data, deep neural networks can learn…

Machine Learning · Computer Science 2018-11-09 Ivan Olier , Oghenejokpeme I. Orhobor , Joaquin Vanschoren , Ross D. King

Large Language Models (LLMs) have emerged as integral tools for reasoning, planning, and decision-making, drawing upon their extensive world knowledge and proficiency in language-related tasks. LLMs thus hold tremendous potential for…

Artificial Intelligence · Computer Science 2024-05-24 Xudong Guo , Kaixuan Huang , Jiale Liu , Wenhui Fan , Natalia Vélez , Qingyun Wu , Huazheng Wang , Thomas L. Griffiths , Mengdi Wang

Solomonoff's central result on induction is that the posterior of a universal semimeasure M converges rapidly and with probability 1 to the true sequence generating posterior mu, if the latter is computable. Hence, M is eligible as a…

Information Theory · Computer Science 2007-08-20 Marcus Hutter , Andrej Muchnik

We unveil that internal representations in large language models (LLMs) serve as reliable proxies of learned knowledge, and propose RECALL, a novel representation-aware model merging framework for continual learning without access to…

Computation and Language · Computer Science 2025-10-24 Bowen Wang , Haiyuan Wan , Liwen Shi , Chen Yang , Peng He , Yue Ma , Haochen Han , Wenhao Li , Tiao Tan , Yongjian Li , Fangming Liu , Yifan Gong , Sheng Zhang

Our goal is to extract useful knowledge from demonstrations of behavior in sequential decision-making problems. Although it is well-known that humans commonly engage in risk-sensitive behaviors in the presence of stochasticity, most Inverse…

Machine Learning · Computer Science 2025-05-21 Filippo Lazzati , Alberto Maria Metelli

Rule-based decision models are attractive due to their interpretability. However, existing rule induction methods often result in long and consequently less interpretable rule models. This problem can often be attributed to the lack of…

Machine Learning · Statistics 2022-07-29 Remy Kusters , Yusik Kim , Marine Collery , Christian de Sainte Marie , Shubham Gupta

Understanding what defines a good representation in large language models (LLMs) is fundamental to both theoretical understanding and practical applications. In this paper, we investigate the quality of intermediate representations in…

Machine Learning · Computer Science 2024-12-13 Oscar Skean , Md Rifat Arefin , Yann LeCun , Ravid Shwartz-Ziv

While the reasoning capabilities of Large Language Models (LLMs) excel in analytical tasks such as mathematics and code generation, their utility for abstractive summarization remains widely assumed but largely unverified. To bridge this…

Computation and Language · Computer Science 2025-12-10 Haohan Yuan , Haopeng Zhang

A navigable agent needs to understand both high-level semantic instructions and precise spatial perceptions. Building navigation agents centered on Multimodal Large Language Models (MLLMs) demonstrates a promising solution due to their…

Robotics · Computer Science 2026-02-18 Zerui Li , Hongpei Zheng , Fangguo Zhao , Aidan Chan , Jian Zhou , Sihao Lin , Shijie Li , Qi Wu

Large language models (LLMs) are widely used as reference-free evaluators via prompting, but this "LLM-as-a-Judge" paradigm is costly, opaque, and sensitive to prompt design. In this work, we investigate whether smaller models can serve as…

Computation and Language · Computer Science 2026-02-02 Zhuochun Li , Yong Zhang , Ming Li , Yuelyu Ji , Yiming Zeng , Ning Cheng , Yun Zhu , Yanmeng Wang , Shaojun Wang , Jing Xiao , Daqing He

Humans achieve efficient learning by relying on prior knowledge about the structure of naturally occurring tasks. There is considerable interest in designing reinforcement learning (RL) algorithms with similar properties. This includes…

Machine Learning · Computer Science 2019-10-23 Jan Humplik , Alexandre Galashov , Leonard Hasenclever , Pedro A. Ortega , Yee Whye Teh , Nicolas Heess

Representation learning is currently a very hot topic in modern machine learning, mostly due to the great success of the deep learning methods. In particular low-dimensional representation which discriminates classes can not only enhance…

Machine Learning · Computer Science 2015-04-13 Wojciech Marian Czarnecki , Rafał Józefowicz , Jacek Tabor

There are three aims of this note. The first one is to report some advances around the dynamical Mordell-Lang (=DML) conjecture. Second, we generalize some known results. For example, the Dynamical Mordell-lang conjecture was known for…

Number Theory · Mathematics 2023-07-28 Junyi Xie

This paper offers an approach to extensible knowledge representation and reasoning for a family of formalisms known as Description Logics. The approach is based on the notion of adding new concept constructors, and includes a heuristic…

Artificial Intelligence · Computer Science 2011-05-30 A. Borgida

We propose a mutual information-based sufficient representation learning (MSRL) approach, which uses the variational formulation of the mutual information and leverages the approximation power of deep neural networks. MSRL learns a…

Machine Learning · Statistics 2022-07-25 Siming Zheng , Yuanyuan Lin , Jian Huang

We study the problem of inverse reinforcement learning (IRL), where the learning agent recovers a reward function using expert demonstrations. Most of the existing IRL techniques make the often unrealistic assumption that the agent has…

Machine Learning · Computer Science 2021-12-20 Franck Djeumou , Murat Cubuktepe , Craig Lennon , Ufuk Topcu

Reinforcement learning (RL) in Markov decision processes (MDPs) with large state spaces is a challenging problem. The performance of standard RL algorithms degrades drastically with the dimensionality of state space. However, in practice,…

Artificial Intelligence · Computer Science 2018-06-21 Kamyar Azizzadenesheli , Alessandro Lazaric , Animashree Anandkumar

Research in AI using Large-Language Models (LLMs) is rapidly evolving, and the comparison of their performance with human reasoning has become a key concern. Prior studies have indicated that LLMs and humans share similar biases, such as…

Computation and Language · Computer Science 2026-03-09 Hirohiko Abe , Risako Ando , Takanobu Morishita Kentaro Ozeki , Koji Mineshima , Mitsuhiro Okada

A common setting of reinforcement learning (RL) is a Markov decision process (MDP) in which the environment is a stochastic discrete-time dynamical system. Whereas MDPs are suitable in such applications as video-games or puzzles, physical…

Robotics · Computer Science 2022-11-29 Pavel Osinenko , Dmitrii Dobriborsci , Grigory Yaremenko , Georgiy Malaniya