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We propose a novel algorithm for greedy forward feature selection for regularized least-squares (RLS) regression and classification, also known as the least-squares support vector machine or ridge regression. The algorithm, which we call…

机器学习 · 统计学 2010-03-19 Tapio Pahikkala , Antti Airola , Tapio Salakoski

We investigate the gap between theory and practice for exact branching algorithms. In theory, branch-and-reduce algorithms currently have the best time complexity for numerous important problems. On the other hand, in practice,…

数据结构与算法 · 计算机科学 2014-11-12 Takuya Akiba , Yoichi Iwata

We consider the problem of maximizing the spread of influence in a social network by choosing a fixed number of initial seeds --- a central problem in the study of network cascades. The majority of existing work on this problem, formally…

社会与信息网络 · 计算机科学 2016-09-22 Rico Angell , Grant Schoenebeck

We investigate the performance of a deterministic GREEDY algorithm for the problem of maximizing functions under a partition matroid constraint. We consider non-monotone submodular functions and monotone subadditive functions. Even though…

离散数学 · 计算机科学 2019-02-22 Tobias Friedrich , Andreas Göbel , Frank Neumann , Francesco Quinzan , Ralf Rothenberger

The "classical" (weak) greedy algorithm is widely used within model order reduction in order to compute a reduced basis in the offline training phase: An a posteriori error estimator is maximized and the snapshot corresponding to the…

数值分析 · 数学 2026-05-27 Niklas Reich , Karsten Urban , Jürgen Vorloeper

Rendering realistic cloth has always been a challenge due to its intricate structure. Cloth is made up of fibers, plies, and yarns, and previous curved-based models, while detailed, were computationally expensive and inflexible for large…

We introduce a greedy algorithm optimizing arrangements of lines with respect to a property. We apply this algorithm to the case of simpliciality: it recovers all known simplicial arrangements of lines in a very short time and also produces…

组合数学 · 数学 2020-06-26 Michael Cuntz

Propagation of linear constraints has become a crucial sub-routine in modern Mixed-Integer Programming (MIP) solvers. In practice, iterative algorithms with tolerance-based stopping criteria are used to avoid problems with slow or infinite…

最优化与控制 · 数学 2021-08-25 Boro Sofranac , Ambros Gleixner , Sebastian Pokutta

We consider the online minimum cost matching problem on the line, in which there are $n$ servers and, at each of $n$ time steps, a request arrives and must be irrevocably matched to a server that has not yet been matched to, with the goal…

数据结构与算法 · 计算机科学 2025-03-28 Eric Balkanski , Yuri Faenza , Noemie Perivier

In many problems, the inputs arrive over time, and must be dealt with irrevocably when they arrive. Such problems are online problems. A common method of solving online problems is to first solve the corresponding linear program, and then…

数据结构与算法 · 计算机科学 2012-04-04 Umang Bhaskar , Lisa Fleischer

Previous works suggested the use of Branch and Bound techniques for finding the optimal allocation in (multi-unit) combinatorial auctions. They remarked that Linear Programming could provide a good upper-bound to the optimal allocation, but…

计算机科学与博弈论 · 计算机科学 2007-05-23 Rica Gonen , Daniel Lehmann

Solving linear programs is often a challenging task in distributed settings. While there are good algorithms for solving packing and covering linear programs in a distributed manner (Kuhn et al.~2006), this is essentially the only class of…

数据结构与算法 · 计算机科学 2017-09-12 Michael Dinitz , Yasamin Nazari

Building on the previous work of Lee et al. and Ferdinand et al. on coded computation, we propose a sequential approximation framework for solving optimization problems in a distributed manner. In a distributed computation system, latency…

信息论 · 计算机科学 2017-10-26 Jingge Zhu , Ye Pu , Vipul Gupta , Claire Tomlin , Kannan Ramchandran

The problem of finding the densest subgraph in a given graph has several applications in graph mining, particularly in areas like social network analysis, protein and gene analyses etc. Depending on the application, finding dense subgraphs…

数据结构与算法 · 计算机科学 2019-11-07 Naga V. C. Gudapati , Enrico Malaguti , Michele Monaci

Current algorithms for large-scale industrial optimization problems typically face a trade-off: they either require exponential time to reach optimal solutions, or employ problem-specific heuristics. To overcome these limitations, we…

量子物理 · 物理学 2025-10-16 Matteo Vandelli , Francesco Ferrari , Daniele Dragoni

We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

离散数学 · 计算机科学 2014-08-20 Fern Y. Hunt

Decision trees and randomized forests are widely used in computer vision and machine learning. Standard algorithms for decision tree induction optimize the split functions one node at a time according to some splitting criteria. This greedy…

机器学习 · 计算机科学 2015-11-13 Mohammad Norouzi , Maxwell D. Collins , Matthew Johnson , David J. Fleet , Pushmeet Kohli

In this paper, we consider a static, multi-period newsvendor model under a budget constraint. In the case where the true demand distribution is known, we develop a heuristic algorithm to solve the problem. By comparing this algorithm with…

最优化与控制 · 数学 2023-12-04 Ben Black , Trivikram Dokka , Christopher Kirkbride

Textile industry is becoming a highly competitive area with the increase in demand for textile products. Since expanding the production capacity is not always feasible, optimizing the existing system is more practical. In particular, we…

计算工程、金融与科学 · 计算机科学 2022-05-17 Mustafa Kaan Topaloglu , Banu Kabakulak

Sparsity-constrained optimization has wide applicability in machine learning, statistics, and signal processing problems such as feature selection and compressive Sensing. A vast body of work has studied the sparsity-constrained…

机器学习 · 统计学 2013-07-17 Sohail Bahmani , Bhiksha Raj , Petros Boufounos