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One-dimensional function approximation is a fundamental problem in scientific computing and engineering applications. While neural networks possess powerful universal approximation capabilities, their optimization process is often hindered…

机器学习 · 计算机科学 2026-02-23 Hu Lou , Yin-Jun Gao , Dong-Xiao Zhang , Tai-Jiao Du , Jun-Jie Zhang , Jia-Rui Zhang

Abstract. The Set Intersection Problem (SIP) is the problem of finding a point in the intersection of convex sets. This problem is typically solved by the method of alternating projections. To accelerate the convergence, the idea of using…

最优化与控制 · 数学 2015-02-17 C. H. Jeffrey Pang

In this paper we provide results on using integer programming (IP) and constraint programming (CP) to search for sets of mutually orthogonal latin squares (MOLS). Both programming paradigms have previously successfully been used to search…

离散数学 · 计算机科学 2021-03-23 Noah Rubin , Curtis Bright , Kevin K. H. Cheung , Brett Stevens

High-level synthesis (HLS) is a process that automatically translates a software program in a high-level language into a low-level hardware description. However, the hardware designs produced by HLS tools still suffer from a significant…

编程语言 · 计算机科学 2023-08-16 Jianyi Cheng , Samuel Coward , Lorenzo Chelini , Rafael Barbalho , Theo Drane

Many parallel algorithms which solve basic problems in computer science use auxiliary space linear in the input to facilitate conflict-free computation. There has been significant work on improving these parallel algorithms to be in-place,…

数据结构与算法 · 计算机科学 2025-03-11 Chase Hutton , Adam Melrod

We present new integer linear programming (ILP) models for NP-hard optimisation problems in instances of the Stable Marriage problem with Ties and Incomplete lists (SMTI) and its many-to-one generalisation, the Hospitals / Residents problem…

数据结构与算法 · 计算机科学 2019-09-10 Maxence Delorme , Sergio García , Jacek Gondzio , Joerg Kalcsics , David Manlove , William Pettersson

In a large-scale and distributed matrix multiplication problem $C=A^{\intercal}B$, where $C\in\mathbb{R}^{r\times t}$, the coded computation plays an important role to effectively deal with "stragglers" (distributed computations that may…

分布式、并行与集群计算 · 计算机科学 2018-04-19 Sinong Wang , Jiashang Liu , Ness Shroff

Modern scientific discovery increasingly relies on high-performance computing for complex modeling and simulation. A key challenge in improving parallel program performance is efficiently mapping tasks to processors and data to memory, a…

机器学习 · 计算机科学 2025-06-02 Anjiang Wei , Allen Nie , Thiago S. F. X. Teixeira , Rohan Yadav , Wonchan Lee , Ke Wang , Alex Aiken

Numerical algorithms for elliptic partial differential equations frequently employ error estimators and adaptive mesh refinement strategies in order to reduce the computational cost. We can extend these techniques to general vectors by…

数值分析 · 数学 2017-04-11 Steffen Börm

As applications grow in capability, they also grow in complexity. This complexity in turn gets pushed into modules and libraries. In addition, hardware configurations become increasingly elaborate, too. These two trends make understanding,…

软件工程 · 计算机科学 2018-03-21 Ronny Brendel , Bert Wesarg , Ronny Tschüter , Matthias Weber , Thomas Ilsche , Sebastian Oeste

Asymmetric multicore processors (AMPs) couple high-performance big cores and low-power small cores with the same instruction-set architecture but different features, such as clock frequency or microarchitecture. Previous work has shown that…

分布式、并行与集群计算 · 计算机科学 2024-02-13 Juan Carlos Saez , Fernando Castro , Manuel Prieto-Matias

Mixed Integer Programming (MIP) solvers rely on an array of sophisticated heuristics developed with decades of research to solve large-scale MIP instances encountered in practice. Machine learning offers to automatically construct better…

Sparse eigenproblems are important for various applications in computer graphics. The spectrum and eigenfunctions of the Laplace--Beltrami operator, for example, are fundamental for methods in shape analysis and mesh processing. The…

数值分析 · 数学 2022-01-05 Ahmad Nasikun , Klaus Hildebrandt

Semidefinite programs (SDPs) can be solved in polynomial time by interior point methods. However, when the dimension of the problem gets large, interior point methods become impractical in terms of both computational time and memory…

最优化与控制 · 数学 2023-11-27 Federico Battista , Marianna De Santis

Modern optimizing compilers are able to exploit memory access or computation patterns to generate vectorization codes. However, such patterns in irregular applications are unknown until runtime due to the input dependence. Thus, either…

分布式、并行与集群计算 · 计算机科学 2022-10-26 Changxi Liu , Hailong Yang , Xu Liu , Zhongzhi Luan , Depei Qian

The Symbolic Regression (SR) problem, where the goal is to find a regression function that does not have a pre-specified form but is any function that can be composed of a list of operators, is a hard problem in machine learning, both…

Deep subspace clustering methods are now prominent in clustering, typically using fully connected networks and a self-representation loss function. However, these methods often struggle with overfitting and lack interpretability. In this…

计算机视觉与模式识别 · 计算机科学 2024-06-24 Xianlu Li , Nicolas Nadisic , Shaoguang Huang , Aleksandra Pižurica

Homomorphic encryption (HE) enables arithmetic operations to be performed directly on encrypted data. It is essential for privacy-preserving applications such as machine learning, medical diagnosis, and financial data analysis. In popular…

密码学与安全 · 计算机科学 2026-05-19 Sajjad Akherati , Xinmiao Zhang

We find that imposing the crossing symmetry in the iteration process considerably extends the range of convergence for solutions of the parquet equations for the Hubbard model. When the crossing symmetry is not imposed, the convergence of…

强关联电子 · 物理学 2014-03-21 Ka-Ming Tam , H. Fotso , S. -X. Yang , Tae-Woo Lee , J. Moreno , J. Ramanujam , M. Jarrell

MPI applications matter. However, with the advent of many-core processors, traditional MPI applications are challenged to achieve satisfactory performance. This is due to the inability of these applications to respond to load imbalances, to…

分布式、并行与集群计算 · 计算机科学 2019-12-20 Jan Ciesko , Pedro J. Martínez-Ferrer , Raúl Peñacoba Veigas , Xavier Teruel , Vicenç Beltran