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The growing interest in Explainable Artificial Intelligence (XAI) motivates promising studies of computing optimal Interpretable Machine Learning models, especially decision trees. Such models generally provide optimality in compact size or…

人工智能 · 计算机科学 2024-08-23 Hao Hu , Shaowei Cai

In an increasingly interconnected world, understanding congestion-related phenomena in transportation and their underlying mechanisms is crucial for improving efficiency. As the transportation system becomes denser, different modes of…

物理与社会 · 物理学 2025-04-04 Sakurako Tanida , Thorsten Pöschel

The control properties of discrete-time switched linear systems (SLS) with switching signals generated by logical dynamic systems are studied using the semi-tensor product (STP) approach. With the algebraic state space representation…

系统与控制 · 电气工程与系统科学 2024-01-08 Xiao Zhang , Min Meng , Zhengping Ji

We introduce the concept of self-adaptive tensor network states (SATNS) based on multi-site correlators. The SATNS ansatz gradually extends its variational space incorporating the most important next-order correlators into the ansatz for…

化学物理 · 物理学 2017-12-19 Arseny Kovyrshin , Markus Reiher

Synchronizing a few-level quantum system is of fundamental importance to understanding synchronization in deep quantum regime. Whether a two-level system, the smallest quantum system, can be synchronized has been theoretically debated for…

量子物理 · 物理学 2023-11-09 Liyun Zhang , Zhao Wang , Yucheng Wang , Junhua Zhang , Zhigang Wu , Jianwen Jie , Yao Lu

For a finite state automaton, a synchronizing sequence is an input sequence that takes all the states to the same state. Checking the existence of a synchronizing sequence and finding a synchronizing sequence, if one exists, can be…

人工智能 · 计算机科学 2013-12-24 Canan Güniçen , Esra Erdem , Hüsnü Yenigün

Asynchronous parallel optimization algorithms for solving large-scale machine learning problems have drawn significant attention from academia to industry recently. This paper proposes a novel algorithm, decoupled asynchronous proximal…

最优化与控制 · 数学 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

We consider a variety of NP-Complete network connectivity problems. We introduce a novel dual-based approach to approximating network design problems with cut-based linear programming relaxations. This approach gives a $3/2$-approximation…

数据结构与算法 · 计算机科学 2017-07-24 Benjamin Grimmer

Markov decision processes (MDP) are finite-state systems with both strategic and probabilistic choices. After fixing a strategy, an MDP produces a sequence of probability distributions over states. The sequence is eventually synchronizing…

计算机科学与博弈论 · 计算机科学 2013-11-01 Laurent Doyen , Thierry Massart , Mahsa Shirmohammadi

Approximate linear programming (ALP) is an efficient approach to solving large factored Markov decision processes (MDPs). The main idea of the method is to approximate the optimal value function by a set of basis functions and optimize…

人工智能 · 计算机科学 2012-06-18 Branislav Kveton , Milos Hauskrecht

Synchronization plays a fundamental role in healthy cognitive and motor function. However, how synchronization depends on the interplay between local dynamics, coupling and topology and how prone to synchronization a network with given…

神经元与认知 · 定量生物学 2018-06-06 David Papo , Javier M. Buldú

Given $k$ collections of 2SAT clauses on the same set of variables $V$, can we find one assignment that satisfies a large fraction of clauses from each collection? We consider such simultaneous constraint satisfaction problems, and design…

数据结构与算法 · 计算机科学 2014-07-30 Amey Bhangale , Swastik Kopparty , Sushant Sachdeva

Three state-space based methods were tested in relation to the ability to detect unidirectional coupling and synchronization of interconnected dynamical systems. The first method, based on measure named M, was introduced by Andrzejak et al.…

混沌动力学 · 物理学 2016-12-13 Anna Krakovská , Jozef Jakubík , Hana Budáčová , Mária Holecyová

Networks of neural mass nodes with delayed interactions are increasingly being used as models for large-scale brain activity. To complement the growing number of computational studies of such networks, it is timely to develop new…

动力系统 · 数学 2025-09-29 S Coombes , H G E Meijer

Many challenging tasks in sensor networks, including sensor calibration, ranking of nodes, monitoring, event region detection, collaborative filtering, collaborative signal processing, {\em etc.}, can be formulated as a problem of solving a…

分布式、并行与集群计算 · 计算机科学 2008-11-21 Ezra N. Hoch , Danny Bickson , Danny Dolev

In various online/offline multi-agent networked environments, it is very popular that the system can benefit from coordinating actions of two interacting agents at some cost of coordination. In this paper, we first formulate an optimization…

系统与控制 · 计算机科学 2018-09-14 Hyeryung Jang , Jinwoo Shin , Yung Yi

This paper is concerned with the problem of reconstructing an unknown rank-one matrix with prior structural information from noisy observations. While computing the Bayes-optimal estimator seems intractable in general due to its nonconvex…

统计理论 · 数学 2023-02-08 Gen Li , Wei Fan , Yuting Wei

The paper investigates the synchronization of a network of identical linear state-space models under a possibly time-varying and directed interconnection structure. The main result is the construction of a dynamic output feedback coupling…

最优化与控制 · 数学 2008-05-23 Luca Scardovi , Rodolphe Sepulchre

A rationale is provided for the emergence of synchronization in a system of coupled oscillators in a stick-slip motion. The single oscillator has a limit cycle in a region of the state space for each parameter set beyond the supercritical…

适应与自组织系统 · 物理学 2015-11-17 Nozomi Sugiura , Takane Hori , Yoji Kawamura

We consider Markov decision processes with synchronizing objectives, which require that a probability mass of $1-\epsilon$ accumulates in a designated set of target states, either once, always, infinitely often, or always from some point…

计算机科学中的逻辑 · 计算机科学 2022-04-28 Laurent Doyen , Marie van den Bogaard