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Dedicated treatment of symmetries in satisfiability problems (SAT) is indispensable for solving various classes of instances arising in practice. However, the exploitation of symmetries usually takes a black box approach. Typically,…

数据结构与算法 · 计算机科学 2024-01-02 Markus Anders , Pascal Schweitzer , Mate Soos

The existing machine learning algorithms for minimizing the convex function over a closed convex set suffer from slow convergence because their learning rates must be determined before running them. This paper proposes two machine learning…

最优化与控制 · 数学 2019-09-02 Kazuhiro Hishinuma , Hideaki Iiduka

Dijkstra's algorithm for the Single-Source Shortest Path (SSSP) problem is notoriously hard to parallelize in $o(n)$ depth, $n$ being the number of vertices in the input graph, without increasing the required parallel work unreasonably.…

分布式、并行与集群计算 · 计算机科学 2019-05-09 Michael Kainer , Jesper Larsson Träff

Sparse, irregular graphs show up in various applications like linear algebra, machine learning, engineering simulations, robotic control, etc. These graphs have a high degree of parallelism, but their execution on parallel threads of modern…

分布式、并行与集群计算 · 计算机科学 2022-02-17 Nimish Shah , Wannes Meert , Marian Verhelst

Many search-based quantum algorithms that achieve a theoretical speedup are not practically relevant since they require extraordinarily long coherence times, or lack the parallelizability of their classical counterparts.This raises the…

量子物理 · 物理学 2024-04-24 Vahideh Eshaghian , Sören Wilkening , Johan Åberg , David Gross

Massively parallel desktop computing capabilities now well within the reach of individual academics modify the environment for posterior simulation in fundamental and potentially quite advantageous ways. But to fully exploit these benefits…

统计计算 · 统计学 2013-04-17 Garland Durham , John Geweke

Ensuring constraint satisfaction is a key requirement for safety-critical systems, which include most robotic platforms. For example, constraints can be used for modeling joint position/velocity/torque limits and collision avoidance.…

机器人学 · 计算机科学 2025-09-04 Elias Fontanari , Gianni Lunardi , Matteo Saveriano , Andrea Del Prete

We introduce stronger notions for approximate single-source shortest-path distances, show how to efficiently compute them from weaker standard notions, and demonstrate the algorithmic power of these new notions and transformations. One…

数据结构与算法 · 计算机科学 2022-11-01 Václav Rozhoň , Bernhard Haeupler , Anders Martinsson , Christoph Grunau , Goran Zuzic

In competitive parallel computing, the identical copies of a code in a phase of a sequential program are assigned to processor cores and the result of the fastest core is adopted. In the literature, it is reported that a superlinear speedup…

分布式、并行与集群计算 · 计算机科学 2019-08-22 Naoki Yonezawa

Binary optimization has a wide range of applications in combinatorial optimization problems such as MaxCut, MIMO detection, and MaxSAT. However, these problems are typically NP-hard due to the binary constraints. We develop a novel…

最优化与控制 · 数学 2023-07-04 Cheng Chen , Ruitao Chen , Tianyou Li , Ruichen Ao , Zaiwen Wen

In this paper we propose a methodology to accelerate the resolution of the so-called "Sorted L-One Penalized Estimation" (SLOPE) problem. Our method leverages the concept of "safe screening", well-studied in the literature for…

机器学习 · 计算机科学 2022-10-05 Clément Elvira , Cédric Herzet

Continuous time quantum walks provide an important framework for designing new algorithms and modelling quantum transport and state transfer problems. Often, the graph representing the structure of a problem contains certain symmetries that…

量子物理 · 物理学 2015-11-03 Leonardo Novo , Shantanav Chakraborty , Masoud Mohseni , Hartmut Neven , Yasser Omar

In the pursuit of real-time motion planning, a commonly adopted practice is to compute a trajectory by running a planning algorithm on a simplified, low-dimensional dynamical model, and then employ a feedback tracking controller that tracks…

系统与控制 · 计算机科学 2019-07-30 Sumeet Singh , Mo Chen , Sylvia L. Herbert , Claire J. Tomlin , Marco Pavone

All-pairs similarity problem asks to find all vector pairs in a set of vectors the similarities of which surpass a given similarity threshold, and it is a computational kernel in data mining and information retrieval for several tasks. We…

信息检索 · 计算机科学 2014-02-14 Eray Özkural , Cevdet Aykanat

In this paper we discuss a sequential algorithm for the computation of a minimum-time speed profile over a given path, under velocity, acceleration and jerk constraints. Such a problem arises in industrial contexts such as automated…

最优化与控制 · 数学 2021-06-01 L. Consolini , M. Locatelli , A. Minari

The Single-Source Shortest Path (SSSP) problem is well-known for the challenges in developing fast, practical, and work-efficient parallel algorithms. This work introduces a novel shortest path search method. It allows paths with different…

分布式、并行与集群计算 · 计算机科学 2025-06-25 Huashan Yu , Xiaolin Wang , Yingwei Luo

In this paper, a fast solver is studied for saddle point system arising from a second-order Crank-Nicolson discretization of an initial-valued parabolic PDE constrained optimal control problem, which is indefinite and ill-conditioned.…

数值分析 · 数学 2023-12-21 Xue-Lei Lin , Shu-Lin Wu

We outline a new approach for solving optimization problems which enforce triangle inequalities on output variables. We refer to this as metric-constrained optimization, and give several examples where problems of this form arise in machine…

数值分析 · 计算机科学 2018-06-06 Nate Veldt , David Gleich , Anthony Wirth , James Saunderson

Approximate Bayesian Computation (ABC) is a widely applicable and popular approach to estimating unknown parameters of mechanistic models. As ABC analyses are computationally expensive, parallelization on high-performance infrastructure is…

定量方法 · 定量生物学 2023-05-02 Emad Alamoudi , Felipe Reck , Nils Bundgaard , Frederik Graw , Lutz Brusch , Jan Hasenauer , Yannik Schälte

Asynchronous parallel implementations of stochastic gradient (SG) have been broadly used in solving deep neural network and received many successes in practice recently. However, existing theories cannot explain their convergence and…

最优化与控制 · 数学 2019-04-22 Xiangru Lian , Yijun Huang , Yuncheng Li , Ji Liu