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相关论文: The Greedy Miser: Learning under Test-time Budgets

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Considering the set cover problem, by modifying the approach that gives a logarithmic approximation guarantee for the greedy algorithm, we obtain an estimation of the greedy algorithm's accuracy for a particular input. We compare the…

数据结构与算法 · 计算机科学 2019-02-13 Alexander Prolubnikov

Consider the puzzle: given a number, remove $k$ digits such that the resulting number is as large as possible. Various techniques were employed to derive a linear-time solution to the puzzle: predicate logic was used to justify the…

编程语言 · 计算机科学 2023-12-01 Richard Bird , Shin-Cheng Mu

This work introduces a natural variant of the online machine scheduling problem on unrelated machines, which we refer to as the favorite machine model. In this model, each job has a minimum processing time on a certain set of machines,…

数据结构与算法 · 计算机科学 2019-12-30 Cong Chen , Paolo Penna , Yinfeng Xu

Kernel-based schemes are state-of-the-art techniques for learning by data. In this work we extend some ideas about kernel-based greedy algorithms to exponential-polynomial splines, whose main drawback consists in possible overfitting and…

数值分析 · 数学 2022-10-31 Rosanna Campagna , Stefano De Marchi , Emma Perracchione , Gabriele Santin

We consider the problem of studying the performance of greedy algorithm on sensor selection problem for stable linear systems with Kalman Filter. Specifically, the objective is to find the system parameters that affects the performance of…

数据结构与算法 · 计算机科学 2017-07-10 Jingyuan Liu

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

分布式、并行与集群计算 · 计算机科学 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

An increasing number of applications require to recognize the class of an incoming time series as quickly as possible without unduly compromising the accuracy of the prediction. In this paper, we put forward a new optimization criterion…

机器学习 · 计算机科学 2021-03-25 Youssef Achenchabe , Alexis Bondu , Antoine Cornuéjols , Asma Dachraoui

The classical problem of maximizing a submodular function under a matroid constraint is considered. Defining a new measure for the increments made by the greedy algorithm at each step, called the discriminant, improved approximation ratio…

数据结构与算法 · 计算机科学 2018-10-31 Nived Rajaraman , Rahul Vaze

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

数值分析 · 数学 2025-02-20 V. Temlyakov

We introduce a novel adversarial model for scheduling with explorable uncertainty. In this model, the processing time of a job can potentially be reduced (by an a priori unknown amount) by testing the job. Testing a job $j$ takes one unit…

数据结构与算法 · 计算机科学 2020-05-15 Christoph Dürr , Thomas Erlebach , Nicole Megow , Julie Meißner

The greedy algorithm for monotone submodular function maximization subject to cardinality constraint is guaranteed to approximate the optimal solution to within a $1-1/e$ factor. Although it is well known that this guarantee is essentially…

数据结构与算法 · 计算机科学 2022-02-15 Aviad Rubinstein , Junyao Zhao

Large-scale L1-regularized loss minimization problems arise in high-dimensional applications such as compressed sensing and high-dimensional supervised learning, including classification and regression problems. High-performance algorithms…

机器学习 · 统计学 2012-12-19 Chad Scherrer , Ambuj Tewari , Mahantesh Halappanavar , David Haglin

The Column Subset Selection Problem provides a natural framework for unsupervised feature selection. Despite being a hard combinatorial optimization problem, there exist efficient algorithms that provide good approximations. The drawback of…

机器学习 · 计算机科学 2018-04-13 Bruno Ordozgoiti , Alberto Mozo , Jesús García López de Lacalle

Minimizing job scheduling time is a fundamental issue in data center networks that has been extensively studied in recent years. The incoming jobs require different CPU and memory units, and span different number of time slots. The…

分布式、并行与集群计算 · 计算机科学 2017-11-21 Weijia Chen , Yuedong Xu , Xiaofeng Wu

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

Submodular maximization has been widely studied over the past decades, mostly because of its numerous applications in real-world problems. It is well known that the standard greedy algorithm guarantees a worst-case approximation factor of…

数据结构与算法 · 计算机科学 2020-02-12 Alfredo Torrico , Mohit Singh , Sebastian Pokutta

This paper addresses a complex parallel machine scheduling problem with jobs divided into operations and operations grouped in families. Non-anticipatory family setup times are held at the beginning of each batch, defined by the combination…

最优化与控制 · 数学 2021-02-12 Davi Mecler , Victor Abu-Marrul , Rafael Martinelli , Arild Hoff

Finding the diameter of a dataset in multidimensional Euclidean space is a well-established problem, with well-known algorithms. However, most of the algorithms found in the literature do not scale well with large values of data dimension,…

机器学习 · 计算机科学 2018-08-13 Ahmad B. Hassanat

How can we attribute the behaviors of machine learning models to their training data? While the classic influence function sheds light on the impact of individual samples, it often fails to capture the more complex and pronounced collective…

机器学习 · 计算机科学 2025-01-10 Yuzheng Hu , Pingbang Hu , Han Zhao , Jiaqi W. Ma

We propose a new yet natural algorithm for learning the graph structure of general discrete graphical models (a.k.a. Markov random fields) from samples. Our algorithm finds the neighborhood of a node by sequentially adding nodes that…

机器学习 · 统计学 2012-02-09 Praneeth Netrapalli , Siddhartha Banerjee , Sujay Sanghavi , Sanjay Shakkottai