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We introduce Parametric Density Path Optimization (PDPO), a novel method for computing action-minimizing paths between probability densities. The core idea is to represent the target probability path as the pushforward of a reference…

最优化与控制 · 数学 2025-12-08 Sebastian Gutierrez Hernandez , Peng Chen , Haomin Zhou

In this paper, we study representation learning in partially observable Markov Decision Processes (POMDPs), where the agent learns a decoder function that maps a series of high-dimensional raw observations to a compact representation and…

机器学习 · 计算机科学 2023-06-22 Jiacheng Guo , Zihao Li , Huazheng Wang , Mengdi Wang , Zhuoran Yang , Xuezhou Zhang

The working mechanisms of complex natural systems tend to abide by concise and profound partial differential equations (PDEs). Methods that directly mine equations from data are called PDE discovery, which reveals consistent physical laws…

机器学习 · 计算机科学 2023-03-17 Mengge Du , Yuntian Chen , Dongxiao Zhang

We consider adaptive approximations of the parameter-to-solution map for elliptic operator equations depending on a large or infinite number of parameters, comparing approximation strategies of different degrees of nonlinearity: sparse…

数值分析 · 数学 2017-04-04 Markus Bachmayr , Albert Cohen , Wolfgang Dahmen

Decentralized partially observable Markov decision processes (Dec-POMDPs) are rich models for cooperative decision-making under uncertainty, but are often intractable to solve optimally (NEXP-complete). The transition and observation…

人工智能 · 计算机科学 2012-10-19 Jilles S. Dibangoye , Christopher Amato , Arnoud Doniec

The synthesis problem for partially observable Markov decision processes (POMDPs) is to compute a policy that satisfies a given specification. Such policies have to take the full execution history of a POMDP into account, rendering the…

人工智能 · 计算机科学 2020-07-20 Leonore Winterer , Ralf Wimmer , Nils Jansen , Bernd Becker

Partially Observable Markov Decision Processes (POMDPs) are a fundamental framework for decision-making under uncertainty and partial observability. Since in general optimal policies may require infinite memory, they are hard to implement…

人工智能 · 计算机科学 2026-04-30 Muqsit Azeem , Debraj Chakraborty , Sudeep Kanav , Jan Kretinsky

Tool-augmented LLM systems expose a control regime that learning theory has largely ignored: sequential decision-making with a massive discrete action universe (tools, APIs, documents) in which only a small, unknown subset is relevant for…

人工智能 · 计算机科学 2026-01-14 Angshul Majumdar

We present a convolutional framework which significantly reduces the complexity and thus, the computational effort for distributed reinforcement learning control of dynamical systems governed by partial differential equations (PDEs).…

机器学习 · 计算机科学 2023-12-27 Sebastian Peitz , Jan Stenner , Vikas Chidananda , Oliver Wallscheid , Steven L. Brunton , Kunihiko Taira

This paper focuses on developing Pareto-optimal estimation and policy learning to identify the most effective treatment that maximizes the total reward from both short-term and long-term effects, which might conflict with each other. For…

机器学习 · 计算机科学 2024-03-13 Yingrong Wang , Anpeng Wu , Haoxuan Li , Weiming Liu , Qiaowei Miao , Ruoxuan Xiong , Fei Wu , Kun Kuang

This paper aims to develop a new and robust approach to feature representation. Motivated by the success of Auto-Encoders, we first theoretical summarize the general properties of all algorithms that are based on traditional Auto-Encoders:…

机器学习 · 计算机科学 2018-10-24 Zeng Yu , Tianrui Li , Ning Yu , Yi Pan , Hongmei Chen , Bing Liu

The key assumption underlying linear Markov Decision Processes (MDPs) is that the learner has access to a known feature map $\phi(x, a)$ that maps state-action pairs to $d$-dimensional vectors, and that the rewards and transitions are…

机器学习 · 计算机科学 2023-09-20 Noah Golowich , Ankur Moitra , Dhruv Rohatgi

Reinforcement learning (RL) is a promising method to solve control problems. However, model-free RL algorithms are sample inefficient and require thousands if not millions of samples to learn optimal control policies. A major source of…

机器学习 · 计算机科学 2022-10-31 Atish Dixit , Ahmed Elsheikh

Memoryless and finite-memory policies offer a practical alternative for solving partially observable Markov decision processes (POMDPs), as they operate directly in the output space rather than in the high-dimensional belief space. However,…

机器学习 · 计算机科学 2025-12-15 Roy van Zuijlen , Duarte Antunes

We propose a novel approach to solving input- and state-constrained parametric mixed-integer optimal control problems using Differentiable Predictive Control (DPC). Our approach follows the differentiable programming paradigm by learning an…

系统与控制 · 电气工程与系统科学 2025-06-25 Ján Boldocký , Shahriar Dadras Javan , Martin Gulan , Martin Mönnigmann , Ján Drgoňa

Balancing policy expressiveness with the exploration-exploitation trade-off is a core challenge in online Reinforcement Learning (RL). While Stochastic Differential Equation (SDE)-based diffusion policies can represent complex, multimodal…

机器学习 · 计算机科学 2026-05-27 Ting Gao , Stavros Orfanoudakis , Nan Lin , Winnie Daamen , Serge Hoogendoorn , Elvin Isufi

Non-prehensile manipulation in high-dimensional systems is challenging for a variety of reasons. One of the main reasons is the computationally long planning times that come with a large state space. Trajectory optimisation algorithms have…

机器人学 · 计算机科学 2024-09-13 David Russell , Rafael Papallas , Mehmet Dogar

Fitting statistical models is computationally challenging when the sample size or the dimension of the dataset is huge. An attractive approach for down-scaling the problem size is to first partition the dataset into subsets and then fit…

统计方法学 · 统计学 2016-02-15 Xiangyu Wang , David Dunson , Chenlei Leng

Robotic manipulation tasks involving cutting deformable objects remain challenging due to complex topological behaviors, difficulties in perceiving dense object states, and the lack of efficient evaluation methods for cutting outcomes. In…

机器人学 · 计算机科学 2025-09-25 Liquan Wang , Jiangjie Bian , Eric Heiden , Animesh Garg

Nonlinear control systems with partial information to the decision maker are prevalent in a variety of applications. As a step toward studying such nonlinear systems, this work explores reinforcement learning methods for finding the optimal…

机器学习 · 计算机科学 2025-04-11 Yinbin Han , Meisam Razaviyayn , Renyuan Xu