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The best deterministic unconditionally proven integer factorization algorithms have exponential running time complexities of O(N^(1/4)) arithmetic operations, and conditional on the Riemann hypothesis, there is a deterministic algorithm of…

Number Theory · Mathematics 2007-07-31 N. A. Carella

Enabling humans to identify potential flaws in an agent's decision making is an important Explainable AI application. We consider identifying such flaws in a planning-based deep reinforcement learning (RL) agent for a complex real-time…

Artificial Intelligence · Computer Science 2021-09-30 Kin-Ho Lam , Zhengxian Lin , Jed Irvine , Jonathan Dodge , Zeyad T Shureih , Roli Khanna , Minsuk Kahng , Alan Fern

Computer-aided design of molecules has the potential to disrupt the field of drug and material discovery. Machine learning, and deep learning, in particular, have been topics where the field has been developing at a rapid pace.…

Machine Learning · Computer Science 2022-08-08 Luca A. Thiede , Mario Krenn , AkshatKumar Nigam , Alan Aspuru-Guzik

We establish a classification of decision problems that are to be solved by mobile agents operating in unlabeled graphs, using a deterministic protocol. The classification is with respect to the ability of a team of agents to solve the…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-12 Pierre Fraigniaud , Andrzej Pelc

In multi-agent search planning for a randomly moving and camouflaging target, we examine heterogeneous searchers that differ in terms of their endurance level, travel speed, and detection ability. This leads to a convex mixed-integer…

Optimization and Control · Mathematics 2023-11-03 Miguel Lejeune , Johannes O. Royset , Wenbo Ma

This work develops a fully decentralized multi-agent algorithm for policy evaluation. The proposed scheme can be applied to two distinct scenarios. In the first scenario, a collection of agents have distinct datasets gathered following…

Machine Learning · Computer Science 2019-08-13 Lucas Cassano , Kun Yuan , Ali H. Sayed

Consider a small number of scouts exploring the infinite $d$-dimensional grid with the aim of hitting a hidden target point. Each scout is controlled by a probabilistic finite automaton that determines its movement (to a neighboring grid…

Probability · Mathematics 2017-04-12 Lihi Cohen , Yuval Emek , Oren Louidor , Jara Uitto

Learning optimal behavior policy for each agent in multi-agent systems is an essential yet difficult problem. Despite fruitful progress in multi-agent reinforcement learning, the challenge of addressing the dynamics of whether two agents…

Machine Learning · Computer Science 2023-12-12 Kunyang Lin , Yufeng Wang , Peihao Chen , Runhao Zeng , Siyuan Zhou , Mingkui Tan , Chuang Gan

We address the self-stabilizing bit-dissemination problem, designed to capture the challenges of spreading information and reaching consensus among entities with minimal cognitive and communication capacities. Specifically, a group of $n$…

Multiagent Systems · Computer Science 2024-10-10 Niccolò D'Archivio , Robin Vacus

In this paper, we explore using deep reinforcement learning for problems with multiple agents. Most existing methods for deep multi-agent reinforcement learning consider only a small number of agents. When the number of agents increases,…

Machine Learning · Computer Science 2018-05-24 Arbaaz Khan , Clark Zhang , Daniel D. Lee , Vijay Kumar , Alejandro Ribeiro

We study stable matching problems with locality of information and control. In our model, each agent is a node in a fixed network and strives to be matched to another agent. An agent has a complete preference list over all other agents it…

Data Structures and Algorithms · Computer Science 2016-11-22 Martin Hoefer , Lisa Wagner

A planner wants to select one agent out of n agents on the basis of a binary characteristic that is commonly known to all agents but is not observed by the planner. Any pair of agents can either be friends or enemies or impartials of each…

Theoretical Economics · Economics 2025-11-17 Francis Bloch , Bhaskar Dutta , Marcin Dziubiński

Stochastic restoration algorithms allow to explore the space of solutions that correspond to the degraded input. In this paper we reveal additional fundamental advantages of stochastic methods over deterministic ones, which further motivate…

Image and Video Processing · Electrical Eng. & Systems 2024-05-21 Guy Ohayon , Theo Adrai , Michael Elad , Tomer Michaeli

It was suggested that a programmable matter system (composed of multiple computationally weak mobile particles) should remain connected at all times since otherwise, reconnection is difficult and may be impossible. At the same time, it was…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-03 Fabien Dufoulon , Shay Kutten , William K. Moses

With the growing adoption of large language model agents in persistent real-world roles, they naturally encounter continuous streams of tasks. A key limitation, however, is their failure to learn from the accumulated interaction history,…

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

Economics · Quantitative Finance 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

A mobile agent has to find an inert treasure hidden in the plane. Both the agent and the treasure are modeled as points. This is a variant of the task known as treasure hunt. The treasure is at a distance at most $D$ from the initial…

Data Structures and Algorithms · Computer Science 2019-02-19 Andrzej Pelc , Ram Narayan Yadav

Real numbers do not admit an extensional procedure for observing discrete information, such as the first digit of its decimal expansion, because every extensional, computable map from the reals to the integers is constant, as is well known.…

Logic · Mathematics 2023-06-22 Auke B. Booij

Memory plays a pivotal role in enabling large language model~(LLM)-based agents to engage in complex and long-term interactions, such as question answering (QA) and dialogue systems. While various memory modules have been proposed for these…

Computation and Language · Computer Science 2024-12-23 Ruihong Zeng , Jinyuan Fang , Siwei Liu , Zaiqiao Meng

The game of Chinese Checkers is a challenging traditional board game of perfect information that differs from other traditional games in two main aspects: first, unlike Chess, all checkers remain indefinitely in the game and hence the…

Machine Learning · Computer Science 2019-03-11 Ziyu Liu , Meng Zhou , Weiqing Cao , Qiang Qu , Henry Wing Fung Yeung , Vera Yuk Ying Chung