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We study decentralized smooth optimization problems over compact submanifolds. Recasting it as a composite optimization problem, we propose a decentralized Douglas-Rachford splitting algorithm, DDRS. When the proximal operator of the local…

Optimization and Control · Mathematics 2023-11-29 Kangkang Deng , Jiang Hu , Hongxia Wang

Route planning is essential to mobile robot navigation problems. In recent years, deep reinforcement learning (DRL) has been applied to learning optimal planning policies in stochastic environments without prior knowledge. However, existing…

Robotics · Computer Science 2023-04-21 Xi Lin , Paul Szenher , John D. Martin , Brendan Englot

In this paper, we propose a novel policy iteration method, called dynamic policy programming (DPP), to estimate the optimal policy in the infinite-horizon Markov decision processes. We prove the finite-iteration and asymptotic l\infty-norm…

Machine Learning · Computer Science 2011-09-09 Mohammad Gheshlaghi Azar , Vicenc Gomez , Hilbert J. Kappen

Humans decompose novel complex tasks into simpler ones to exploit previously learned skills. Analogously, hierarchical reinforcement learning seeks to leverage lower-level policies for simple tasks to solve complex ones. However, because…

Machine Learning · Computer Science 2022-03-15 Ju-Seung Byun , Andrew Perrault

Clustering analysis by nonnegative low-rank approximations has achieved remarkable progress in the past decade. However, most approximation approaches in this direction are still restricted to matrix factorization. We propose a new low-rank…

Machine Learning · Computer Science 2012-06-22 Zhirong Yang , Erkki Oja

Although deep reinforcement learning has become a universal solution for complex control tasks, its real-world applicability is still limited because lacking security guarantees for policies. To address this problem, we propose Boundary…

Machine Learning · Computer Science 2022-03-03 Xiao Liu , Shuyang Liu , Wenbin Li , Shangdong Yang , Yang Gao

In recent years, researchers pay growing attention to the few-shot learning (FSL) task to address the data-scarce problem. A standard FSL framework is composed of two components: i) Pre-train. Employ the base data to generate a CNN-based…

Computer Vision and Pattern Recognition · Computer Science 2021-12-06 Shuai Shao , Lei Xing , Rui Xu , Weifeng Liu , Yan-Jiang Wang , Bao-Di Liu

Integrating expert knowledge, e.g. from large language models, into causal discovery algorithms can be challenging when the knowledge is not guaranteed to be correct. Expert recommendations may contradict data-driven results, and their…

Reinforcement learning (RL) aims to estimate the action to take given a (time-varying) state, with the goal of maximizing a cumulative reward function. Predominantly, there are two families of algorithms to solve RL problems: value-based…

Machine Learning · Computer Science 2025-01-10 Sergio Rozada , Hoi-To Wai , Antonio G. Marques

Direct Preference Optimization (DPO) guides large language models (LLMs) to generate recommendations aligned with user historical behavior distributions by minimizing preference alignment loss. However, our systematic empirical research and…

Information Retrieval · Computer Science 2026-05-28 Chu Zhao , Enneng Yang , Jianzhe Zhao , Guibing Guo

Deep deterministic policy gradient (DDPG)-based car-following strategy can break through the constraints of the differential equation model due to the ability of exploration on complex environments. However, the car-following performance of…

Artificial Intelligence · Computer Science 2022-01-12 Ruidong Yan , Rui Jiang , Bin Jia , Jin Huang , Diange Yang

We propose a novel approach for optimizing the graph ratio-cut by modeling the binary assignments as random variables. We provide an upper bound on the expected ratio-cut, as well as an unbiased estimate of its gradient, to learn the…

Machine Learning · Computer Science 2025-03-12 Ayoub Ghriss , Claire Monteleoni

A diagnostic policy specifies what test to perform next, based on the results of previous tests, and when to stop and make a diagnosis. Cost-sensitive diagnostic policies perform tradeoffs between (a) the cost of tests and (b) the cost of…

Artificial Intelligence · Computer Science 2012-07-19 Valentina Bayer-Zubek

Motivated by recent work in computational social choice, we extend the metric distortion framework to clustering problems. Given a set of $n$ agents located in an underlying metric space, our goal is to partition them into $k$ clusters,…

Computer Science and Game Theory · Computer Science 2024-02-07 Jakob Burkhardt , Ioannis Caragiannis , Karl Fehrs , Matteo Russo , Chris Schwiegelshohn , Sudarshan Shyam

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

Machine Learning · Computer Science 2013-08-19 Andrew Cotter

Deterministic model predictive control (MPC), while powerful, is often insufficient for effectively controlling autonomous systems in the real-world. Factors such as environmental noise and model error can cause deviations from the expected…

Optimization and Control · Mathematics 2024-07-29 Alex Oshin , Hassan Almubarak , Evangelos A. Theodorou

The Multiple-Depot Split Delivery Vehicle Routing Problem (MD-SDVRP) is a challenging problem with broad applications in logistics. The goal is to serve customers' demand using a fleet of capacitated vehicles located in multiple depots,…

Data Structures and Algorithms · Computer Science 2026-01-06 Jingyang Zhao , Yonghang Su , Mingyu Xiao

Standard model-free deep reinforcement learning (RL) algorithms sample a new initial state for each trial, allowing them to optimize policies that can perform well even in highly stochastic environments. However, problems that exhibit…

Machine Learning · Computer Science 2018-04-30 Dibya Ghosh , Avi Singh , Aravind Rajeswaran , Vikash Kumar , Sergey Levine

Several learning algorithms have been proposed for offline multi-label classification. However, applications in areas such as traffic monitoring, social networks, and sensors produce data continuously, the so called data streams, posing…

To cluster, classify and represent are three fundamental objectives of learning from high-dimensional data with intrinsic structure. To this end, this paper introduces three interpretable approaches, i.e., segmentation (clustering) via the…

Computer Vision and Pattern Recognition · Computer Science 2023-06-21 Kai-Liang Lu , Avraham Chapman
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