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he segment minimization problem consists of finding the smallest set of integer matrices that sum to a given intensity matrix, such that each summand has only one non-zero value, and the non-zeroes in each row are consecutive. This has…

Data Structures and Algorithms · Computer Science 2011-09-27 Therese Biedl , Stephane Durocher , Holger H. Hoos , Shuang Luan , Jared Saia , Maxwell Young

We study the multi-level Steiner tree problem: a generalization of the Steiner tree problem in graphs where terminals $T$ require varying priority, level, or quality of service. In this problem, we seek to find a minimum cost tree…

Data Structures and Algorithms · Computer Science 2020-05-18 Reyan Ahmed , Faryad Darabi Sahneh , Keaton Hamm , Stephen Kobourov , Richard Spence

We consider the minimum spanning tree (MST) problem under the restriction that for every vertex v, the edges of the tree that are adjacent to v satisfy a given family of constraints. A famous example thereof is the classical…

Data Structures and Algorithms · Computer Science 2011-07-28 Rico Zenklusen

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

We investigate fully self-consistent multiscale quantum-classical algorithms on current generation superconducting quantum computers, in a unified approach to tackle the correlated electronic structure of large systems in both quantum…

In this paper we design and prove correct a fully dynamic distributed algorithm for maintaining an approximate Steiner tree that connects via a minimum-weight spanning tree a subset of nodes of a network (referred as Steiner members or…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Lélia Blin , Maria Gradinariu Potop-Butucaru , Stephane Rovedakis

Emerging continual learning applications necessitate next-generation neural processing unit (NPU) platforms to support both training and inference operations. The promising Microscaling (MX) standard enables narrow bit-widths for inference…

Hardware Architecture · Computer Science 2026-03-13 Stef Cuyckens , Xiaoling Yi , Robin Geens , Joren Dumoulin , Martin Wiesner , Chao Fang , Marian Verhelst

Subgraph matching is a basic operation widely used in many applications. However, due to its NP-hardness and the explosive growth of graph data, it is challenging to compute subgraph matching, especially in large graphs. In this paper, we…

Databases · Computer Science 2021-02-25 Xin Jin , Zhengyi Yang , Xuemin Lin , Shiyu Yang , Lu Qin , You Peng

In this paper, we propose StruM, a novel structured mixed-precision-based deep learning inference method, co-designed with its associated hardware accelerator (DPU), to address the escalating computational and memory demands of deep…

Hardware Architecture · Computer Science 2025-05-20 Michael Wu , Arnab Raha , Deepak A. Mathaikutty , Martin Langhammer , Engin Tunali , Daksha Sharma

Large classes of materials systems in physics and engineering are governed by magnetic and electrostatic interactions. Continuum or mesoscale descriptions of such systems can be cast in terms of integral equations, whose direct…

Computational Physics · Physics 2016-08-15 Xikai Jiang , Jiyuan Li , Xujun Zhao , Jian Qin , Dmitry Karpeev , Juan Hernandez-Ortiz , Juan de Pablo , Olle Heinonen

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…

Optimization and Control · Mathematics 2016-05-24 Yitan Li , Linli Xu , Xiaowei Zhong , Qing Ling

To extend prevailing scaling limits when solving time-dependent partial differential equations, the parallel full approximation scheme in space and time (PFASST) has been shown to be a promising parallel-in-time integrator. Similar to a…

Mathematical Software · Computer Science 2019-12-03 Ruth Schöbel , Robert Speck

We present an algorithm for quickly generating multiple realizations of N-body simulations to be used, for example, for cosmological parameter estimation from surveys of large-scale structure. Our algorithm uses a new method to resample the…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Michael D. Schneider , Shaun Cole , Carlos S. Frenk , Istvan Szapudi

In a previous paper we introduced a new method for simulating collisional gravitational $N$-body systems with linear time scaling on $N$, based on the Multi-Particle Collision (MPC) approach. This allows us to simulate globular clusters…

Astrophysics of Galaxies · Physics 2022-03-04 Pierfrancesco Di Cintio , Mario Pasquato , Alicia Simon-Petit , Suk-Jin Yoon

We present an algorithm for cluster dynamics to efficiently simulate large systems on MIMD parallel computers with large numbers of processors. The method divides physical space into rectangular cells which are assigned to processors and…

High Energy Physics - Lattice · Physics 2009-10-22 Mike Flanigan , Pablo Tamayo

Gravitational $N$-body simulations calculate numerous interactions between particles. The tree algorithm reduces these calculations by constructing a hierarchical oct-tree structure and approximating gravitational forces on particles. Over…

Instrumentation and Methods for Astrophysics · Physics 2024-01-09 Tomoyuki Tokuue , Tomoaki Ishiyama

An efficient hardware implementation for Simultaneous Localization and Mapping (SLAM) methods is of necessity for mobile autonomous robots with limited computational resources. In this paper, we propose a resource-efficient FPGA…

Signal Processing · Electrical Eng. & Systems 2023-05-31 Keisuke Sugiura , Hiroki Matsutani

In the k-edge connected directed Steiner tree (k-DST) problem, we are given a directed graph G on n vertices with edge-costs, a root vertex r, a set of h terminals T and an integer k. The goal is to find a min-cost subgraph H of G that…

Data Structures and Algorithms · Computer Science 2016-03-01 Bundit Laekhanukit

Quantum state tomography (QST) is the gold standard technique for obtaining an estimate for the state of small quantum systems in the laboratory. Its application to systems with more than a few constituents (e.g. particles) soon becomes…

In this paper we accomplish the development of the fast rank-adaptive solver for tensor-structured symmetric positive definite linear systems in higher dimensions. In [arXiv:1301.6068] this problem is approached by alternating minimization…

Numerical Analysis · Mathematics 2014-10-07 Sergey V. Dolgov , Dmitry V. Savostyanov