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The linear programming (LP) approach has a long history in the theory of approximate dynamic programming. When it comes to computation, however, the LP approach often suffers from poor scalability. In this work, we introduce a relaxed…

系统与控制 · 电气工程与系统科学 2020-12-01 Andrea Martinelli , Matilde Gargiani , John Lygeros

We study dynamic graph algorithms in the Massively Parallel Computation model, which was inspired by practical data processing systems. Our goal is to provide algorithms that can efficiently handle large batches of edge insertions and…

数据结构与算法 · 计算机科学 2021-01-12 Krzysztof Nowicki , Krzysztof Onak

In recent years, various means of efficiently detecting changepoints in the univariate setting have been proposed, with one popular approach involving minimising a penalised cost function using dynamic programming. In some situations, these…

统计方法学 · 统计学 2018-10-09 S. O. Tickle , I. A. Eckley , P. Fearnhead , K. Haynes

Robust Markov decision processes (MDPs) allow to compute reliable solutions for dynamic decision problems whose evolution is modeled by rewards and partially-known transition probabilities. Unfortunately, accounting for uncertainty in the…

机器学习 · 计算机科学 2020-06-18 Chin Pang Ho , Marek Petrik , Wolfram Wiesemann

Differential Dynamic Programming (DDP) is an efficient computational tool for solving nonlinear optimal control problems. It was originally designed as a single shooting method and thus is sensitive to the initial guess supplied. This work…

机器人学 · 计算机科学 2023-09-29 He Li , Wenhao Yu , Tingnan Zhang , Patrick M. Wensing

Optimal multiple sequence alignment by dynamic programming, like many highly dimensional scientific computing problems, has failed to benefit from the improvements in computing performance brought about by multi-processor systems, due to…

分布式、并行与集群计算 · 计算机科学 2023-11-30 Manal Helal , Hossam El-Gindy , Lenore Mullin , Bruno Gaeta

Control parallelism and data parallelism is mostly reasoned and optimized as separate functions. Because of this, workloads that are irregular, fine-grain and dynamic such as dynamic graph processing become very hard to scale. An…

分布式、并行与集群计算 · 计算机科学 2023-03-08 Bibrak Qamar Chandio , Thomas Sterling , Prateek Srivastava

Regions of nested loops are a common feature of High Performance Computing (HPC) codes. In shared memory programming models, such as OpenMP, these structure are the most common source of parallelism. Parallelising these structures requires…

编程语言 · 计算机科学 2012-05-14 Adrian Jackson , Orestis Agathokleous

We propose universal randomized function approximation-based empirical value iteration (EVI) algorithms for Markov decision processes. The `empirical' nature comes from each iteration being done empirically from samples available from…

最优化与控制 · 数学 2019-04-25 William B. Haskell , Rahul Jain , Hiteshi Sharma , Pengqian Yu

In this paper, a centralized two-block separable optimization is considered for which a fully parallel primal-dual discrete-time algorithm with fixed step size is derived based on monotone operator splitting method. In this algorithm, the…

最优化与控制 · 数学 2020-09-30 S. Sh. Alaviani , A. G. Kelkar

A distribution matcher (DM) maps a binary input sequence into a block of nonuniformly distributed symbols. To facilitate the implementation of shaped signaling, fast DM solutions with high throughput and low serialism are required. We…

信号处理 · 电气工程与系统科学 2019-02-25 Tobias Fehenberger , David S. Millar , Toshiaki Koike-Akino , Keisuke Kojima , Kieran Parsons

New approaches to the theory of dynamic programming view dynamic programs as families of policy operators acting on partially ordered sets. In this paper, we extend these ideas by shifting from arbitrary partially ordered sets to ordered…

最优化与控制 · 数学 2026-02-02 Nisha Peng , John Stachurski

In this paper, we propose a new framework for designing fast parallel algorithms for fundamental statistical subset selection tasks that include feature selection and experimental design. Such tasks are known to be weakly submodular and are…

机器学习 · 计算机科学 2021-04-02 Sharon Qian , Yaron Singer

In the context of the linear programming (LP) approach to data-driven control, one assumes that the dynamical system is unknown but can be observed indirectly through data on its evolution. Both theoretical and empirical evidence suggest…

最优化与控制 · 数学 2021-09-28 Andrea Martinelli , Matilde Gargiani , John Lygeros

This paper studies the risk-averse mean-variance optimization in infinite-horizon discounted Markov decision processes (MDPs). The involved variance metric concerns reward variability during the whole process, and future deviations are…

最优化与控制 · 数学 2022-01-19 Shuai Ma , Xiaoteng Ma , Li Xia

Dynamic programming (DP) solves a variety of structured combinatorial problems by iteratively breaking them down into smaller subproblems. In spite of their versatility, DP algorithms are usually non-differentiable, which hampers their use…

机器学习 · 统计学 2018-02-21 Arthur Mensch , Mathieu Blondel

General function approximation is a powerful tool to handle large state and action spaces in a broad range of reinforcement learning (RL) scenarios. However, theoretical understanding of non-stationary MDPs with general function…

机器学习 · 计算机科学 2023-06-02 Songtao Feng , Ming Yin , Ruiquan Huang , Yu-Xiang Wang , Jing Yang , Yingbin Liang

Learning and optimal control under robust Markov decision processes (MDPs) have received increasing attention, yet most existing theory, algorithms, and applications focus on finite-horizon or discounted models. Long-run average-reward…

最优化与控制 · 数学 2025-12-12 Shengbo Wang , Nian Si

We propose a novel framework for risk-sensitive reinforcement learning (RSRL) that incorporates robustness against transition uncertainty. We define two distinct yet coupled risk measures: an inner risk measure addressing state and cost…

风险管理 · 定量金融 2026-01-01 Shanyu Han , Yangbo He , Yang Liu

Differential Dynamic Programming (DDP) is an efficient trajectory optimization algorithm relying on second-order approximations of a system's dynamics and cost function, and has recently been applied to optimize systems with time-invariant…