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In this paper we consider distributed optimization problems in which the cost function is separable (i.e., a sum of possibly non-smooth functions all sharing a common variable) and can be split into a strongly convex term and a convex one.…

最优化与控制 · 数学 2016-09-20 Ivano Notarnicola , Giuseppe Notarstefano

This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

数值分析 · 数学 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

Resource constrained project scheduling is an important combinatorial optimisation problem with many practical applications. With complex requirements such as precedence constraints, limited resources, and finance-based objectives, finding…

神经与进化计算 · 计算机科学 2022-10-21 Dhananjay R. Thiruvady , Su Nguyen , Christian Blum , Andreas T. Ernst

We propose a novel distribution-free scheme to solve optimization problems where the goal is to minimize the expected value of a cost function subject to probabilistic constraints. Unlike standard sampling-based methods, our idea consists…

最优化与控制 · 数学 2025-05-28 Francesco Cordiano , Matin Jafarian , Bart De Schutter

Tensor networks provide a powerful framework for compressing multi-dimensional data. The optimal tensor network structure for a given data tensor depends on both data characteristics and specific optimality criteria, making tensor network…

计算工程、金融与科学 · 计算机科学 2026-03-23 Zheng Guo , Aditya Deshpande , Brian Kiedrowski , Xinyu Wang , Alex Gorodetsky

We develop two iterative algorithms for solving the low rank phase retrieval (LRPR) problem. LRPR refers to recovering a low-rank matrix $\X$ from magnitude-only (phaseless) measurements of random linear projections of its columns. Both…

信息论 · 计算机科学 2017-08-02 Namrata Vaswani , Seyedehsara Nayer , Yonina C. Eldar

In this paper, we propose a novel solution for the distributed unconstrained optimization problem where the total cost is the summation of time-varying local cost functions of a group networked agents. The objective is to track the optimal…

最优化与控制 · 数学 2022-12-20 Amir-Salar Esteki , Solmaz S. Kia

Feature selection is an important preprocessing step in machine learning and data mining. In real-world applications, costs, including money, time and other resources, are required to acquire the features. In some cases, there is a test…

人工智能 · 计算机科学 2013-05-22 Fan Min , Qinghua Hu , William Zhu

In this paper, we consider an approach to the parallelizing of the algorithms realizing the modified probability changigng method with adaptation and partial rollback procedure for constrained pseudo-Boolean optimization problems. Existing…

分布式、并行与集群计算 · 计算机科学 2012-09-03 Lev Kazakovtsev

We introduce a novel approach to reduce the computational effort of solving mixed-integer convex chance constrained programs through the scenario approach. Instead of reducing the number of required scenarios, we directly minimize the…

最优化与控制 · 数学 2020-02-05 Damian Frick , Pier Giuseppe Sessa , Tony A. Wood , Maryam Kamgarpour

In this paper we consider distributed optimization problems in which the cost function is separable, i.e., a sum of possibly non-smooth functions all sharing a common variable, and can be split into a strongly convex term and a convex one.…

系统与控制 · 计算机科学 2016-06-27 Ivano Notarnicola , Giuseppe Notarstefano

The automaton constrained tree knapsack problem is a variant of the knapsack problem in which the items are associated with the vertices of the tree, and we can select a subset of items that is accepted by a top-down tree automaton. If the…

数据结构与算法 · 计算机科学 2018-09-18 Soh Kumabe , Takanori Maehara , Ryoma Sin'ya

Multi-criteria decision-making often requires finding a small representative set from the database. A recently proposed method is the regret minimization set (RMS) query. RMS returns a size $r$ subset $S$ of dataset $D$ that minimizes the…

机器学习 · 计算机科学 2022-03-10 Xingxing Xiao , Jianzhong Li

We propose an algorithmic framework, that employs active subspace techniques, for scalable global optimization of functions with low effective dimension (also referred to as low-rank functions). This proposal replaces the original…

最优化与控制 · 数学 2024-02-01 Coralia Cartis , Xinzhu Liang , Estelle Massart , Adilet Otemissov

Join ordering is the NP-hard problem of selecting the most efficient order in which to evaluate joins (conjunctive, binary operators) in a database query. Because query execution performance critically depends on this choice, join ordering…

数据库 · 计算机科学 2026-05-18 Tim Schwabe , Maribel Acosta

In this paper, we study the nurse rostering problem that considers multiple units and many soft time-related constraints. An efficient branch and price solution approach that relies on a fast algorithm to solve the pricing subproblem of the…

最优化与控制 · 数学 2023-11-10 Wanzhe Hu , Xiaozhou He , Li Luo , Panos M. Pardalos

Finding an effective medical treatment often requires a search by trial and error. Making this search more efficient by minimizing the number of unnecessary trials could lower both costs and patient suffering. We formalize this problem as…

机器学习 · 计算机科学 2021-02-18 Samuel Håkansson , Viktor Lindblom , Omer Gottesman , Fredrik D. Johansson

Rank-based Learning with deep neural network has been widely used for image cropping. However, the performance of ranking-based methods is often poor and this is mainly due to two reasons: 1) image cropping is a listwise ranking task rather…

计算机视觉与模式识别 · 计算机科学 2019-08-28 Weirui Lu , Xiaofen Xing , Bolun Cai , Xiangmin Xu

We consider the problem of designing sublinear time algorithms for estimating the cost of a minimum metric traveling salesman (TSP) tour. Specifically, given access to a $n \times n$ distance matrix $D$ that specifies pairwise distances…

数据结构与算法 · 计算机科学 2020-06-11 Yu Chen , Sampath Kannan , Sanjeev Khanna

The Steiner tree enumeration problem is a well known problem that asks for enumerating Steiner trees. Numerous theoretical works proposed algorithms for the problem and analyzed their complexity, but there are no practical algorithms and…

数据结构与算法 · 计算机科学 2021-04-20 Yuya Sasaki