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This paper proposes an algorithm for solving structured optimization problems, which covers both the backward-backward and the Douglas-Rachford algorithms as special cases, and analyzes its convergence. The set of fixed points of the…

Optimization and Control · Mathematics 2017-09-19 Nguyen Hieu Thao

Reinforcement learning (RL) algorithms involve the deep nesting of highly irregular computation patterns, each of which typically exhibits opportunities for distributed computation. We argue for distributing RL components in a composable…

Artificial Intelligence · Computer Science 2018-07-02 Eric Liang , Richard Liaw , Philipp Moritz , Robert Nishihara , Roy Fox , Ken Goldberg , Joseph E. Gonzalez , Michael I. Jordan , Ion Stoica

In this paper, a mixed-integer linear programming formulation for the problem of obtaining task-relevant, multi-resolution, graph abstractions for resource-constrained agents is presented. The formulation leverages concepts from…

Robotics · Computer Science 2021-07-01 Daniel T. Larsson , Dipankar Maity , Panagiotis Tsiotras

Reachability analysis for hybrid systems is an active area of development and has resulted in many promising prototype tools. Most of these tools allow users to express hybrid system as automata with a set of ordinary differential equations…

Programming Languages · Computer Science 2017-04-12 Yingfu Zeng , Ferenc Bartha , Walid Taha

In this paper we address the computational feasibility of the class of decision theoretic models referred to as adversarial risk analyses (ARA). These are models where a decision must be made with consideration for how an intelligent…

General Economics · Economics 2021-10-26 Michael Macgregor Perry , Hadi El-Amine

Feature-distributed data, referred to data partitioned by features and stored across multiple computing nodes, are increasingly common in applications with a large number of features. This paper proposes a two-stage relaxed greedy algorithm…

Machine Learning · Statistics 2024-03-12 Shuo-Chieh Huang , Ruey S. Tsay

Reachability analysis is used to determine all possible states that a system acting under uncertainty may reach. It is a critical component to obtain guarantees of various safety-critical systems both for safety verification and controller…

Systems and Control · Electrical Eng. & Systems 2021-11-03 Jared Mejia , Alex Devonport , Murat Arcak

The aim of this paper is to analyse the gain of the update algorithm associated to the recently proposed D-iteration: the D-iteration is a fluid diffusion based new iterative method. It exploits a simple intuitive decomposition of the…

Discrete Mathematics · Computer Science 2012-02-29 Dohy Hong

Distributed algorithms, particularly Diffusion Least Mean Square, are widely favored for their reliability, robustness, and fast convergence in various industries. However, limited observability of the target can compromise the integrity of…

Signal Processing · Electrical Eng. & Systems 2023-10-18 Mahdi Shamsi , Farokh Marvasti

Strategy Logic with imperfect information (SLiR) is a very expressive logic designed to express complex properties of strategic abilities in distributed systems. Previous work on SLiR focused on finite systems, and showed that the…

Logic in Computer Science · Computer Science 2020-07-31 Bastien Maubert , Aniello Murano , Olivier Serre

Feasibility problem aims to find a common point of two or more closed (convex) sets whose intersection is nonempty. In the literature, projection based algorithms are widely adopted to solve the problem, such as the method of alternating…

Optimization and Control · Mathematics 2025-04-16 Yuting Shen , Jingwei Liang

Weighted timed automata have been defined in the early 2000's for modelling resource-consumption or -allocation problems in real-time systems. Optimal reachability is decidable in weighted timed automata, and a symbolic forward algorithm…

Logic in Computer Science · Computer Science 2016-02-02 Patricia Bouyer , Maximilien Colange , Nicolas Markey

The intrinsic complexity of deep neural networks (DNNs) makes it challenging to verify not only the networks themselves but also the hosting DNN-controlled systems. Reachability analysis of these systems faces the same challenge. Existing…

Machine Learning · Computer Science 2023-11-01 Jiaxu Tian , Dapeng Zhi , Si Liu , Peixin Wang , Guy Katz , Min Zhang

Hybrid systems are complex dynamical systems that combine discrete and continuous components. Reachability questions, regarding whether a system can run into a certain subset of its state space, stand at the core of verification and…

Systems and Control · Computer Science 2017-04-11 Erika Ábrahám , Sergiy Bogomolov

One of the most important problems in hybrid systems is the {\em reachability problem}. The reachability problem has been shown to be undecidable even for a subclass of {\em linear} hybrid systems. In view of this, the main focus in the…

Logic in Computer Science · Computer Science 2009-09-29 D. Ravi , R. K. Shyamasundar

The idea of unfolding iterative algorithms as deep neural networks has been widely applied in solving sparse coding problems, providing both solid theoretical analysis in convergence rate and superior empirical performance. However, for…

Machine Learning · Computer Science 2020-10-27 Yuhai Song , Zhong Cao , Kailun Wu , Ziang Yan , Changshui Zhang

This work develops robust diffusion recursive least squares algorithms to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. The first algorithm minimizes an exponentially…

Machine Learning · Computer Science 2019-02-05 Y. Yu , H. Zhao , R. C. de Lamare , Y. Zakharov , L. Lu

Models coming from different physical applications are very large in size. Simulation with such systems is expensive so one usually obtains a reduced model (by model reduction) that replicates the input-output behaviour of the original full…

Numerical Analysis · Mathematics 2017-09-05 Rajendra Choudhary , Kapil Ahuja

Recent trends see a move away from a fixed-resource server-centric datacenter model to a more adaptable "disaggregated" datacenter model. These disaggregated datacenters can then dynamically group resources to the specific requirements of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-24 Rashadul Kabir , Ryan G. Kim , Mahdi Nikdast

Motivated by applications arising from sensor networks and machine learning, we consider the problem of minimizing a finite sum of nondifferentiable convex functions where each component function is associated with an agent and a…

Optimization and Control · Mathematics 2021-03-22 Harshal D. Kaushik , Farzad Yousefian
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