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Probabilistic circuits (PCs) such as sum-product networks efficiently represent large multi-variate probability distributions. They are preferred in practice over other probabilistic representations such as Bayesian and Markov networks…

机器学习 · 计算机科学 2024-02-07 Shivvrat Arya , Tahrima Rahman , Vibhav Gogate

The minimum cost multicut problem is the NP-hard/APX-hard combinatorial optimization problem of partitioning a real-valued edge-weighted graph such as to minimize the total cost of the partition. While graph convolutional neural networks…

机器学习 · 计算机科学 2022-04-05 Steffen Jung , Margret Keuper

We present a new online algorithm for profit-oriented scheduling on multiple speed-scalable processors. Moreover, we provide a tight analysis of the algorithm's competitiveness. Our results generalize and improve upon work by…

数据结构与算法 · 计算机科学 2012-09-19 Peter Kling , Peter Pietrzyk

We study the optimization version of the set partition problem (where the difference between the partition sums are minimized), which has numerous applications in decision theory literature. While the set partitioning problem is NP-hard and…

数据结构与算法 · 计算机科学 2021-09-13 Kaan Gokcesu , Hakan Gokcesu

We consider distributed optimization over a $d$-dimensional space, where $K$ remote clients send coded gradient estimates over an {\em additive Gaussian Multiple Access Channel (MAC)} with noise variance $\sigma_z^2$. Furthermore, the…

信息论 · 计算机科学 2023-10-06 Shubham Jha

We present a novel task scheduling scheme for accelerating computational applications involving distributed iterative processes that are executed on networked computing resources. Such an application consists of multiple tasks, each of…

分布式、并行与集群计算 · 计算机科学 2021-06-30 Mehrdad Kiamari , Bhaskar Krishnamachari

We consider the problem of maximizing the revenue raised from tolls set on the arcs of a transportation network, under the constraint that users are assigned to toll-compatible shortest paths. We first prove that this problem is strongly…

计算机科学与博弈论 · 计算机科学 2017-07-24 S. Roch , P. Marcotte , G. Savard

This work studies the combinatorial optimization problem of finding an optimal core tensor shape, also called multilinear rank, for a size-constrained Tucker decomposition. We give an algorithm with provable approximation guarantees for its…

数据结构与算法 · 计算机科学 2024-06-19 Mehrdad Ghadiri , Matthew Fahrbach , Gang Fu , Vahab Mirrokni

In machine learning and big data, the optimization objectives based on set-cover, entropy, diversity, influence, feature selection, etc. are commonly modeled as submodular functions. Submodular (function) maximization is generally NP-hard,…

数据结构与算法 · 计算机科学 2022-12-13 Haotian Zhang , Rao Li , Zewei Wu , Guodong Sun

In this paper we study a scheduling problem arising from executing numerical simulations on HPC architectures. With a constant number of parallel machines, the objective is to minimize the makespan under memory constraints for the machines.…

数据结构与算法 · 计算机科学 2022-02-18 Eric Angel , Sébastien Morais , Damien Regnault

Scheduling packets with end-to-end deadline constraints in multihop networks is an important problem that has been notoriously difficult to tackle. Recently, there has been progress on this problem in the worst-case traffic setting, with…

网络与互联网体系结构 · 计算机科学 2023-10-31 Christos Tsanikidis , Javad Ghaderi

We propose a dual decomposition and linear program relaxation of the NP -hard minimum cost multicut problem. Unlike other polyhedral relaxations of the multicut polytope, it is amenable to efficient optimization by message passing. Like…

数据结构与算法 · 计算机科学 2017-01-13 Paul Swoboda , Bjoern Andres

Motivated by applications in wireless communications, this paper develops semidefinite programming (SDP) relaxation techniques for some mixed binary quadratically constrained quadratic programs (MBQCQP) and analyzes their approximation…

最优化与控制 · 数学 2014-03-18 Zi Xu , Mingyi Hong , Zhi-Quan Luo

We consider a wireless network with a set of transmitter-receiver pairs, or links, that share a common channel, and address the problem of emptying finite traffic volume from the transmitters in minimum time. This, so called, minimum-time…

网络与互联网体系结构 · 计算机科学 2016-11-18 Qing He , Vangelis Angelakis , Anthony Ephremides , Di Yuan

Towards the development of 6G mobile networks, it is promising to integrate a large number of devices from multi-dimensional platforms, and it is crucial to have a solid understanding of the theoretical limits of large-scale networks. We…

信息论 · 计算机科学 2025-09-19 Yanxiao Liu , Shenghao Yang , Cheuk Ting Li

We establish the expressibility in fixed-point logic with counting (FPC) of a number of natural polynomial-time problems. In particular, we show that the size of a maximum matching in a graph is definable in FPC. This settles an open…

计算机科学中的逻辑 · 计算机科学 2013-04-26 Matthew Anderson , Anuj Dawar , Bjarki Holm

Performance optimization is the art of continuous seeking a harmonious mapping between the application domain and hardware. Recent years have witnessed a surge of deep learning (DL) applications in industry. Conventional wisdom for…

分布式、并行与集群计算 · 计算机科学 2019-11-27 Guoping Long , Jun Yang , Wei Lin

We present improved approximation algorithms for some problems in the related areas of Capacitated Network Design and Flexible Graph Connectivity. In the Cap-$k$-ECSS problem, we are given a graph $G=(V,E)$ whose edges have non-negative…

数据结构与算法 · 计算机科学 2026-04-07 Ishan Bansal , Joseph Cheriyan , Sanjeev Khanna , Miles Simmons

The problem of attaining energy efficiency in distributed systems is of importance, but a general, non-domain-specific theory of energy-minimal scheduling is far from developed. In this paper, we classify the problems of energy-minimal…

分布式、并行与集群计算 · 计算机科学 2021-03-10 Pragati Agrawal , Shrisha Rao

This paper gives poly-logarithmic-round, distributed D-approximation algorithms for covering problems with submodular cost and monotone covering constraints (Submodular-cost Covering). The approximation ratio D is the maximum number of…

数据结构与算法 · 计算机科学 2020-05-29 Christos Koufogiannakis , Neal E. Young