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We introduce a new algorithm for approximation by rational functions on a real or complex set of points, implementable in 40 lines of Matlab and requiring no user input parameters. Even on a disk or interval the algorithm may outperform…

数值分析 · 数学 2019-08-26 Yuji Nakatsukasa , Olivier Sète , Lloyd N. Trefethen

Metaheuristic algorithms are widely used for solving complex problems due to their ability to provide near-optimal solutions. But the execution time of these algorithms increases with the problem size and/or solution space. And, to get more…

神经与进化计算 · 计算机科学 2025-12-16 Henish Soliya , Anugrah Jain

We primarily consider bilevel programs where the lower level is a convex quadratic minimization problem under integer constraints. We show that it is $\Sigma_2^p$-hard to decide if the optimal objective for the leader is lesser than a given…

最优化与控制 · 数学 2024-12-23 Sriram Sankaranarayanan , V. Shubha Vatsalya

In this paper, we propose an alternative to deep neural networks for semantic information retrieval for the case of long documents. This new approach exploiting clustering techniques to take into account the meaning of words in Information…

信息检索 · 计算机科学 2025-07-29 Paul Mbathe Mekontchou , Armel Fotsoh , Bernabe Batchakui , Eddy Ella

We study a general smallest intersecting ball problem and its soft-margin variant in high-dimensional Euclidean spaces for input objects that are compact and convex. These two problems link and unify a series of fundamental problems in…

计算几何 · 计算机科学 2025-05-27 Jiaqi Zheng , Tiow-Seng Tan

In this work, we introduce a new graph search algorithm, lazy edged based A* (LEA*), for robot motion planning. By using an edge queue and exploiting the idea of lazy search, LEA* is optimally vertex efficient similar to A*, and has…

机器人学 · 计算机科学 2023-09-20 Dongliang Zheng , Panagiotis Tsiotras

A very simple heuristic approach to the unfolding problem will be described. An iterative algorithm starts with an empty histogram and every iteration aims to add one entry to this histogram. The entry to be added is selected according to a…

数据分析、统计与概率 · 物理学 2014-11-06 Yordan Karadzhov

Word embeddings resulting from neural language models have been shown to be successful for a large variety of NLP tasks. However, such architecture might be difficult to train and time-consuming. Instead, we propose to drastically simplify…

计算与语言 · 计算机科学 2017-01-05 Rémi Lebret , Ronan Collobert

Since data is often stored in different sources, it needs to be integrated to gather a global view that is required in order to create value and derive knowledge from it. A critical step in data integration is schema matching which aims to…

数据库 · 计算机科学 2022-03-10 Benjamin Hättasch , Michael Truong-Ngoc , Andreas Schmidt , Carsten Binnig

We study parallel algorithms for correlation clustering. Each pair among $n$ objects is labeled as either "similar" or "dissimilar". The goal is to partition the objects into arbitrarily many clusters while minimizing the number of…

数据结构与算法 · 计算机科学 2022-05-10 Soheil Behnezhad , Moses Charikar , Weiyun Ma , Li-Yang Tan

Multi-hop reasoning (MHR) is a process in artificial intelligence and natural language processing where a system needs to make multiple inferential steps to arrive at a conclusion or answer. In the context of knowledge graphs or databases,…

人工智能 · 计算机科学 2024-06-13 Jesmin Jahan Tithi , Fabio Checconi , Fabrizio Petrini

This paper considers the problem of minimizing an expectation function over a closed convex set, coupled with a {\color{black} functional or expectation} constraint on either decision variables or problem parameters. We first present a new…

最优化与控制 · 数学 2020-10-05 Guanghui Lan , Zhiqiang Zhou

We develop a new efficient sequential approximate leverage score algorithm, SALSA, using methods from randomized numerical linear algebra (RandNLA) for large matrices. We demonstrate that, with high probability, the accuracy of SALSA's…

机器学习 · 统计学 2024-01-02 Ali Eshragh , Luke Yerbury , Asef Nazari , Fred Roosta , Michael W. Mahoney

We present a new heuristic algorithm finding reset words. The algorithm called CutOff-IBFS is based on a simple idea of inverse breadth-first-search in the power automaton. We perform an experimental investigation of effectiveness compared…

形式语言与自动机理论 · 计算机科学 2013-08-12 Jakub Kowalski , Marek Szykuła

We study the fundamental problem of approximate nearest neighbor search in $d$-dimensional Hamming space $\{0,1\}^d$. We study the complexity of the problem in the famous cell-probe model, a classic model for data structures. We consider…

数据结构与算法 · 计算机科学 2016-02-16 Mingmou Liu , Xiaoyin Pan , Yitong Yin

As a well-known NP-hard problem, the Three-Index Assignment Problem (AP3) has attracted lots of research efforts for developing heuristics. However, existing heuristics either obtain less competitive solutions or consume too much time. In…

人工智能 · 计算机科学 2017-03-07 He Jiang , Shuwei Zhang , Zhilei Ren , Xiaochen Lai , Yong Piao

This paper proposes a new family of algorithms for training neural networks (NNs). These are based on recent developments in the field of non-convex optimization, going under the general name of successive convex approximation (SCA)…

机器学习 · 统计学 2017-06-16 Simone Scardapane , Paolo Di Lorenzo

In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an $H_+$-matrix, we present appropriate criteria for the convergence…

最优化与控制 · 数学 2023-05-05 Bharat Kumar , Deepmala , A. K. Das

Multi-Agent Path Finding (MAPF) algorithms, including those for car-like robots and grid-based scenarios, face significant computational challenges due to expensive heuristic calculations. Traditional heuristic caching assumes that the…

机器人学 · 计算机科学 2026-01-21 HT To , S Nguyen , NH Pham

In this paper, we propose a novel hash learning approach that has the following main distinguishing features, when compared to past frameworks. First, the codewords are utilized in the Hamming space as ancillary techniques to accomplish its…

机器学习 · 计算机科学 2019-02-26 Yinjie Huang , Michael Georgiopoulos , Georgios C. Anagnostopoulos