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Online decision making under uncertainty in partially observable domains, also known as Belief Space Planning, is a fundamental problem in robotics and Artificial Intelligence. Due to an abundance of plausible future unravelings,…

Artificial Intelligence · Computer Science 2023-02-15 Andrey Zhitnikov , Vadim Indelman

Imitation learning, particularly Diffusion Policies based methods, has recently gained significant traction in embodied AI as a powerful approach to action policy generation. These models efficiently generate action policies by learning to…

Robotics · Computer Science 2025-04-15 Haiyong Yu , Yanqiong Jin , Yonghao He , Wei Sui

Belief propagation is a widely used message passing method for the solution of probabilistic models on networks such as epidemic models, spin models, and Bayesian graphical models, but it suffers from the serious shortcoming that it works…

Statistical Mechanics · Physics 2021-04-27 Alec Kirkley , George T. Cantwell , M. E. J. Newman

Diffusion models have shown remarkable success across generative tasks, yet their high computational demands challenge deployment on resource-limited platforms. This paper investigates a critical question for compute-optimal diffusion model…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Zhenbang Du , Yonggan Fu , Lifu Wang , Jiayi Qian , Xiao Luo , Yingyan , Lin

We consider inference (filtering) problems over probabilistic graphical models with aggregate data generated by a large population of individuals. We propose a new efficient belief propagation type algorithm over tree-structured graphs with…

Machine Learning · Computer Science 2020-10-06 Rahul Singh , Isabel Haasler , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

There are two prevalent model-based paradigms for combinatorial problems: 1) state-based representations, such as heuristic search, dynamic programming (DP), and decision diagrams, and 2) constraint and domain-based representations, such as…

Artificial Intelligence · Computer Science 2026-04-29 Imko Marijnissen , J. Christopher Beck , Emir Demirović , Ryo Kuroiwa

Distributed Constraint Optimization Problems (DCOPs) are a widely studied framework for coordinating interactions in cooperative multi-agent systems. In classical DCOPs, variables owned by agents are assumed to be discrete. However, in many…

Multiagent Systems · Computer Science 2020-10-21 Moumita Choudhury , Amit Sarker , Md. Mosaddek Khan , William Yeoh

This paper investigates the problems large-scale distributed composite convex optimization, with motivations from a broad range of applications, including multi-agent systems, federated learning, smart grids, wireless sensor networks,…

Optimization and Control · Mathematics 2025-12-16 Maoran Wang , Xingju Cai , Yongxin Chen

We introduce an efficient message passing scheme for solving Constraint Satisfaction Problems (CSPs), which uses stochastic perturbation of Belief Propagation (BP) and Survey Propagation (SP) messages to bypass decimation and directly…

Artificial Intelligence · Computer Science 2016-01-05 Siamak Ravanbakhsh , Russell Greiner

Distributed Constraint Satisfaction (DCSP) has long been considered an important problem in multi-agent systems research. This is because many real-world problems can be represented as constraint satisfaction and these problems often…

Artificial Intelligence · Computer Science 2011-09-29 V. R. Lesser , R. Mailler

Belief propagation is an algorithm that is known from statistical physics and computer science. It provides an efficient way of calculating marginals that involve large sums of products which are efficiently rearranged into nested products…

Artificial Intelligence · Computer Science 2020-12-22 Tim Ritmeester , Hildegard Meyer-Ortmanns

Nonlinearity mitigation using digital signal processing has been shown to increase the achievable data rates of optical fiber transmission links. One especially effective technique is digital back propagation (DBP), an algorithm capable of…

Signal Processing · Electrical Eng. & Systems 2018-08-31 Tom Sherborne , Benjamin Banks , Daniel Semrau , Robert I. Killey , Polina Bayvel , Domaniç Lavery

Learned neural solvers have successfully been used to solve combinatorial optimization and decision problems. More general counting variants of these problems, however, are still largely solved with hand-crafted solvers. To bridge this gap,…

Machine Learning · Computer Science 2020-07-02 Jonathan Kuck , Shuvam Chakraborty , Hao Tang , Rachel Luo , Jiaming Song , Ashish Sabharwal , Stefano Ermon

We present a novel distributed Gauss-Newton method for the non-linear state estimation (SE) model based on a probabilistic inference method called belief propagation (BP). The main novelty of our work comes from applying BP sequentially…

Information Theory · Computer Science 2018-08-28 Mirsad Cosovic , Dejan Vukobratovic

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

Optimization and Control · Mathematics 2023-09-06 Xunhao Wu , Jun Fu

Tensor network contraction on arbitrary graphs is a fundamental computational challenge with applications ranging from quantum simulation to error correction. While belief propagation (BP) provides a powerful approximation algorithm for…

Quantum Physics · Physics 2025-10-28 Siddhant Midha , Yifan F. Zhang

The submodular knapsack problem (SKP), which seeks to maximize a submodular set function by selecting a subset of elements within a given budget, is an important discrete optimization problem. The majority of existing approaches to solving…

Data Structures and Algorithms · Computer Science 2025-07-16 Yimin Hao , Yi Zhou , Chao Xu , Zhang-Hua Fu

We propose a novel algorithm for solving convex, constrained and distributed optimization problems defined on multi-agent-networks, where each agent has exclusive access to a part of the global objective function. The agents are able to…

Systems and Control · Electrical Eng. & Systems 2020-08-12 Jan Zimmermann , Tatiana Tatarenko , Volker Willert , Jürgen Adamy

Integration of Answer Set Programming (ASP) with neural networks has emerged as a promising tool in Neuro-symbolic AI. While existing approaches extend the capabilities of ASP to real world domains, their reasoning pipelines depend on…

Artificial Intelligence · Computer Science 2026-05-05 Thomas Eiter , Katsumi Inoue , Sota Moriyama

We propose a new iterative optimization method for the {\bf Data-Fitting} (DF) problem in Machine Learning, e.g. Neural Network (NN) training. The approach relies on {\bf Graphical Model} (GM) representation of the DF problem, where…

Machine Learning · Computer Science 2021-02-17 Francesco Concetti , Michael Chertkov
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