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We propose Shotgun, a parallel coordinate descent algorithm for minimizing L1-regularized losses. Though coordinate descent seems inherently sequential, we prove convergence bounds for Shotgun which predict linear speedups, up to a…

机器学习 · 计算机科学 2011-05-27 Joseph K. Bradley , Aapo Kyrola , Danny Bickson , Carlos Guestrin

This work addresses a Multi-Objective Shortest Path Problem (MO-SPP) on a graph where the goal is to find a set of Pareto-optimal solutions from a start node to a destination in the graph. A family of approaches based on MOA* have been…

人工智能 · 计算机科学 2022-05-31 Zhongqiang Ren , Richard Zhan , Sivakumar Rathinam , Maxim Likhachev , Howie Choset

We present the first parallel algorithm for solving systems of linear equations in symmetric, diagonally dominant (SDD) matrices that runs in polylogarithmic time and nearly-linear work. The heart of our algorithm is a construction of a…

数值分析 · 计算机科学 2013-11-14 Richard Peng , Daniel A. Spielman

A method is presented for parallelizing the computation of solutions to discrete-time, linear-quadratic, finite-horizon optimal control problems, which we will refer to as LQR problems. This class of problem arises frequently in robotic…

最优化与控制 · 数学 2018-09-18 Forrest Laine , Claire Tomlin

This paper presents a new approach to statistical similarity assessment based on sequence alignment. The algorithm performs mutual matching of two random sequences by successively searching for common elements and by applying sequence…

信号处理 · 电气工程与系统科学 2021-06-09 Jakub Nikonowicz , Łukasz Matuszewski , Paweł Kubczak

We formulate and optimally solve a new generalized Set Similarity Search problem, which assumes the size of the database and query sets are known in advance. By creating polylog copies of our data-structure, we optimally solve any symmetric…

数据结构与算法 · 计算机科学 2020-04-21 Thomas Dybdahl Ahle , Jakob Bæk Tejs Knudsen

It is well known that for general linear systems, only optimal Krylov methods with long recurrences exist. For special classes of linear systems it is possible to find optimal Krylov methods with short recurrences. In this paper we consider…

数值分析 · 数学 2023-04-11 R. Idema , C. Vuik

The quantum-walk-based spatial search problem aims to find a marked vertex using a quantum walk on a graph with marked vertices. We describe a framework for determining the computational complexity of spatial search by continuous-time…

量子物理 · 物理学 2024-12-25 Pedro H. G. Lugão , Renato Portugal , Mohamed Sabri , Hajime Tanaka

Multi-modal behaviors exhibited by surrounding vehicles (SVs) can typically lead to traffic congestion and reduce the travel efficiency of autonomous vehicles (AVs) in dense traffic. This paper proposes a real-time parallel trajectory…

机器人学 · 计算机科学 2023-09-12 Lei Zheng , Rui Yang , Zengqi Peng , Haichao Liu , Michael Yu Wang , Jun Ma

The linear response eigenvalue problem, which arises from many scientific and engineering fields, is quite challenging numerically for large-scale sparse/dense system, especially when it has zero eigenvalues. Based on a direct sum…

数值分析 · 数学 2025-06-11 Yu Li , Zijing Wang , Yong Zhang

Proof-Number Search is a best-first search algorithm with many successful applications, especially in game solving. As large-scale computing clusters become increasingly accessible, parallelization is a natural way to accelerate…

人工智能 · 计算机科学 2026-02-10 Tomáš Čížek , Martin Balko , Martin Schmid

The search for binary sequences with low peak sidelobe level value represents a formidable computational problem. To locate better sequences for this problem, we designed a stochastic algorithm that uses two fitness functions. In these…

人工智能 · 计算机科学 2024-06-12 Borko Bošković , Janez Brest

Minimum cut/maximum flow (min-cut/max-flow) algorithms solve a variety of problems in computer vision and thus significant effort has been put into developing fast min-cut/max-flow algorithms. As a result, it is difficult to choose an ideal…

计算机视觉与模式识别 · 计算机科学 2022-04-21 Patrick M. Jensen , Niels Jeppesen , Anders B. Dahl , Vedrana A. Dahl

Quantum computing promises to improve the information processing power to levels unreachable by classical computation. Quantum walks are heading the development of quantum algorithms for searching information on graphs more efficiently than…

We present a high-performance solver for dense skew-symmetric matrix eigenvalue problems. Our work is motivated by applications in computational quantum physics, where one solution approach to solve the so-called Bethe-Salpeter equation…

数值分析 · 数学 2020-06-05 Carolin Penke , Andreas Marek , Christian Vorwerk , Claudia Draxl , Peter Benner

In this paper we propose a novel parallel stochastic coordinate descent (SCD) algorithm with convergence guarantees that exhibits strong scalability. We start by studying a state-of-the-art parallel implementation of SCD and identify…

机器学习 · 计算机科学 2019-11-19 Nikolas Ioannou , Celestine Mendler-Dünner , Thomas Parnell

We introduce an efficient nonreversible Markov chain Monte Carlo algorithm to generate self-avoiding walks with a variable endpoint. In two dimensions, the new algorithm slightly outperforms the two-move nonreversible Berretti-Sokal…

统计力学 · 物理学 2021-12-13 Hanqing Zhao , Marija Vucelja

The hypercube queueing model was initially developed to address spatial queueing problems and has found wide applications in emergency services, such as ambulance and police systems. While the model was originally designed for homogeneous…

最优化与控制 · 数学 2026-03-10 Cheng Hua , Jun Luo , Arthur J. Swersey , Yixing Wen

The fast marching method is well-known for its worst-case optimal computational complexity in solving the Eikonal equation, and has been employed in numerous scientific and engineering fields. However, it has barely benefited from…

计算物理 · 物理学 2018-11-02 Jianming Yang

We consider the problem of selecting the best variable-value strategy for solving a given problem in constraint programming. We show that the recent Embarrassingly Parallel Search method (EPS) can be used for this purpose. EPS proposes to…

人工智能 · 计算机科学 2016-04-25 Anthony Palmieri , Jean-Charles Régin , Pierre Schaus