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We propose combinatorial cascading bandits, a class of partial monitoring problems where at each step a learning agent chooses a tuple of ground items subject to constraints and receives a reward if and only if the weights of all chosen…

Machine Learning · Computer Science 2015-11-18 Branislav Kveton , Zheng Wen , Azin Ashkan , Csaba Szepesvari

Exploration algorithms for reinforcement learning typically replace or augment the reward function with an additional ``intrinsic'' reward that trains the agent to seek previously unseen states of the environment. Here, we consider an…

Machine Learning · Computer Science 2025-09-30 Kevin McKee , Eric Alt , Andrew Grebenisan , Mick van Gelderen , Gary Miguel

We show that, under a standard hardness assumption, there is no computationally efficient algorithm that given $n$ samples from an unknown distribution can give valid answers to $n^{3+o(1)}$ adaptively chosen statistical queries. A…

Machine Learning · Computer Science 2014-08-08 Moritz Hardt , Jonathan Ullman

Language agents have demonstrated remarkable potential in web search and information retrieval. However, these search agents assume user queries are complete and unambiguous, an assumption that diverges from reality where users begin with…

The spatial search problem consists in minimizing the number of steps required to find a given site in a network, under the restriction that only oracle queries or translations to neighboring sites are allowed. We propose a quantum…

Quantum Physics · Physics 2014-09-25 G. Abal , R. Donangelo , M. Forets , R. Portugal

An intelligent agent may in general pursue multiple procedural goals simultaneously, which may lead to arise some conflicts (incompatibilities) among them. In this paper, we focus on the incompatibilities that emerge due to resources…

Artificial Intelligence · Computer Science 2020-09-15 Mariela Morveli-Espinoza , Ayslan Possebom , Cesar Augusto Tacla

We investigate the mechanism design problem faced by a principal who hires \emph{multiple} agents to gather and report costly information. Then, the principal exploits the information to make an informed decision. We model this problem as a…

Computer Science and Game Theory · Computer Science 2023-07-13 Federico Cacciamani , Matteo Castiglioni , Nicola Gatti

We consider the task of rendezvous in networks modeled as undirected graphs. Two mobile agents with different labels, starting at different nodes of an anonymous graph, have to meet. This task has been considered in the literature under two…

Data Structures and Algorithms · Computer Science 2019-08-20 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit

We identify a distinct motive for search, termed catalytic exploration, where agents rationally explore alternatives they expect to reject to resolve uncertainty about the status quo. By decomposing option value into switching and catalytic…

Theoretical Economics · Economics 2025-11-25 Zeyu He

The dynamics of affective decision making is considered for an intelligent network composed of agents with different types of memory: long-term and short-term memory. The consideration is based on probabilistic affective decision theory,…

Artificial Intelligence · Computer Science 2023-09-04 V. I. Yukalov , E. P. Yukalova

Reinforcement learning has enabled agents to solve challenging tasks in unknown environments. However, manually crafting reward functions can be time consuming, expensive, and error prone to human error. Competing objectives have been…

Machine Learning · Computer Science 2021-02-11 Brendon Matusch , Jimmy Ba , Danijar Hafner

We propose a theory of deterministic chaos for discrete systems, based on their representations in binary state spaces $ \Omega $, homeomorphic to the space of symbolic dynamics. This formalism is applied to neural networks and cellular…

chao-dyn · Physics 2008-02-03 H. Waelbroeck , F. Zertuche

Two mobile agents (robots) have to meet in an a priori unknown bounded terrain modeled as a polygon, possibly with polygonal obstacles. Agents are modeled as points, and each of them is equipped with a compass. Compasses of agents may be…

Computational Geometry · Computer Science 2015-05-14 Jurek Czyzowicz , David Ilcinkas , Arnaud Labourel , Andrzej Pelc

A new deterministic algorithm for finding square divisors, and finding $r$-power divisors in general, is presented. This algorithm is based on Lehman's method for integer factorization and is straightforward to implement. While the…

Number Theory · Mathematics 2022-10-03 Jonathon Hales , Ghaith Hiary

We consider a scenario where an agent has multiple available strategies to explore an unknown environment. For each new interaction with the environment, the agent must select which exploration strategy to use. We provide a new…

Machine Learning · Computer Science 2018-08-24 Fabien C. Y. Benureau , Pierre-Yves Oudeyer

A sequential decision-making agent balances between exploring to gain new knowledge about an environment and exploiting current knowledge to maximize immediate reward. For environments studied in the traditional literature, optimal…

Machine Learning · Computer Science 2024-07-23 Dilip Arumugam , Wanqiao Xu , Benjamin Van Roy

Efficient probabilistic inference by variable elimination in graphical models requires an optimal elimination order. However, finding an optimal order is a challenging combinatorial optimisation problem for models with a large number of…

Artificial Intelligence · Computer Science 2025-03-13 Sagad Hamid , Tanya Braun

We study the piecewise constant bandit problem where the expected reward is a piecewise constant function with one change point (discontinuity) across the action space $[0,1]$ and the learner's aim is to locate the change point. Under the…

Machine Learning · Statistics 2025-01-23 Joseph Lazzaro , Ciara Pike-Burke

Recent benchmarks for Large Language Model (LLM) agents primarily focus on evaluating reasoning, planning, and execution capabilities, while another critical component-memory, encompassing how agents memorize, update, and retrieve long-term…

Computation and Language · Computer Science 2026-03-19 Yuanzhe Hu , Yu Wang , Julian McAuley

In the on-line Explore and Exploit literature, central to Machine Learning, a central planner is faced with a set of alternatives, each yielding some unknown reward. The planner's goal is to learn the optimal alternative as soon as…

Computer Science and Game Theory · Computer Science 2015-07-31 Gal Bahar , Rann Smorodinsky , Moshe Tennenholtz