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Inherent in virtually every iterative machine learning algorithm is the problem of hyper-parameter tuning, which includes three major design parameters: (a) the complexity of the model, e.g., the number of neurons in a neural network, (b)…

机器学习 · 计算机科学 2025-09-26 Christos Mavridis , John Baras

In this paper, we study a very general type of online network design problem, and generalize two different previous algorithms, one for an online network design problem due to Berman and Coulston [4] and one for (offline) general network…

数据结构与算法 · 计算机科学 2017-02-17 Jiawei Qian , Seeun William Umboh , David P. Williamson

In this dissertation we study statistical and online learning problems from an optimization viewpoint.The dissertation is divided into two parts : I. We first consider the question of learnability for statistical learning problems in the…

机器学习 · 计算机科学 2012-04-19 Karthik Sridharan

We study online prediction where regret of the algorithm is measured against a benchmark defined via evolving constraints. This framework captures online prediction on graphs, as well as other prediction problems with combinatorial…

机器学习 · 计算机科学 2015-06-15 Alexander Rakhlin , Karthik Sridharan

We introduce the Online Unbounded Knapsack Problem with Removal, a variation of the well-known Online Knapsack Problem. Items, each with a weight and value, arrive online and an algorithm must decide on whether or not to pack them into a…

数据结构与算法 · 计算机科学 2025-09-29 Matthias Gehnen , Moritz Stocker

In various areas of computer science, the problem of dealing with a set of constraints arises. If the set of constraints is unsatisfiable, one may ask for a minimal description of the reason for this unsatisifi- ability. Minimal…

人工智能 · 计算机科学 2016-06-13 Jaroslav Bendik , Nikola Benes , Ivana Cerna , Jiri Barnat

Ranking algorithms are deployed widely to order a set of items in applications such as search engines, news feeds, and recommendation systems. Recent studies, however, have shown that, left unchecked, the output of ranking algorithms can…

数据结构与算法 · 计算机科学 2018-07-31 L. Elisa Celis , Damian Straszak , Nisheeth K. Vishnoi

Within the context of stochastic probing with commitment, we consider the online stochastic matching problem; that is, the one sided online bipartite matching problem where edges adjacent to an online node must be probed to determine if…

数据结构与算法 · 计算机科学 2021-01-07 Allan Borodin , Calum MacRury , Akash Rakheja

In this paper, we exploit linear programming duality in the online setting (i.e., where input arrives on the fly) from the unique perspective of designing lower bounds on the competitive ratio. In particular, we provide a general technique…

数据结构与算法 · 计算机科学 2016-04-07 Yossi Azar , Ilan Reuven Cohen , Alan Roytman

We study the Maximum Cardinality Matching (MCM) and the Maximum Weight Matching (MWM) problems, on trees and on some special classes of graphs, in the Online Preemptive and the Incremental Dynamic Graph models. In the {\em Online…

数据结构与算法 · 计算机科学 2018-01-23 Sumedh Tirodkar , Sundar Vishwanathan

We consider the allocation of limited resources to heterogeneous customers who arrive in an online fashion. We would like to allocate the resources "fairly", so that no group of customers is marginalized in terms of their overall service…

数据结构与算法 · 计算机科学 2021-05-24 Will Ma , Pan Xu , Yifan Xu

Semi-online algorithms that are allowed to perform a bounded amount of repacking achieve guaranteed good worst-case behaviour in a more realistic setting. Most of the previous works focused on minimization problems that aim to minimize some…

数据结构与算法 · 计算机科学 2021-04-21 Sebastian Berndt , Kilian Grage , Klaus Jansen , Lukas Johannsen , Maria Kosche

This paper investigates online algorithms for smooth time-varying optimization problems, focusing first on methods with constant step-size, momentum, and extrapolation-length. Assuming strong convexity, precise results for the tracking…

最优化与控制 · 数学 2024-07-16 Liam Madden , Stephen Becker , Emiliano Dall'Anese

In the online sorting problem, $n$ items are revealed one by one and have to be placed (immediately and irrevocably) into empty cells of a size-$n$ array. The goal is to minimize the sum of absolute differences between items in consecutive…

数据结构与算法 · 计算机科学 2024-06-28 Mikkel Abrahamsen , Ioana O. Bercea , Lorenzo Beretta , Jonas Klausen , László Kozma

There are several problems in the theory of online computation where tight lower bounds on the competitive ratio are unknown and expected to be difficult to describe in a short form. A good example is the Online Bin Stretching problem, in…

数据结构与算法 · 计算机科学 2022-10-17 Martin Böhm , Bertrand Simon

We study the problem of fairly allocating indivisible goods to agents in an online setting, where goods arrive sequentially and must be allocated irrevocably. Focusing on the popular fairness notions of envy-freeness, proportionality, and…

计算机科学与博弈论 · 计算机科学 2026-05-29 Tzeh Yuan Neoh , Jannik Peters , Nicholas Teh

In the online metric bipartite matching problem, we are given a set $S$ of server locations in a metric space. Requests arrive one at a time, and on its arrival, we need to immediately and irrevocably match it to a server at a cost which is…

计算几何 · 计算机科学 2018-03-21 Sharath Raghvendra

Makespan minimization on identical machines is a fundamental problem in online scheduling. The goal is to assign a sequence of jobs to $m$ identical parallel machines so as to minimize the maximum completion time of any job. Already in the…

数据结构与算法 · 计算机科学 2021-10-28 Susanne Albers , Maximilian Janke

By employing a recently introduced optimization algorithm we explicitely design optimally synchronizable (unweighted) networks for any given scale-free degree distribution. We explore how the optimization process affects degree-degree…

无序系统与神经网络 · 物理学 2009-11-13 Luca Donetti , Pablo I. Hurtado , Miguel A. Munoz

In the online hypergraph matching problem, hyperedges of size $k$ over a common ground set arrive online in adversarial order. The goal is to obtain a maximum matching (disjoint set of hyperedges). A na\"ive greedy algorithm for this…

数据结构与算法 · 计算机科学 2024-02-15 Thorben Tröbst , Rajan Udwani