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Resource allocation in distributed and networked systems such as the Cloud is becoming increasingly flexible, allowing these systems to dynamically adjust toward the workloads they serve, in a demand-aware manner. Online balanced…

数据结构与算法 · 计算机科学 2024-10-24 Harald Räcke , Stefan Schmid , Ruslan Zabrodin

In the problem of online portfolio selection as formulated by Cover (1991), the trader repeatedly distributes her capital over $ d $ assets in each of $ T > 1 $ rounds, with the goal of maximizing the total return. Cover proposed an…

最优化与控制 · 数学 2025-03-11 Rémi Jézéquel , Dmitrii M. Ostrovskii , Pierre Gaillard

In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

数据结构与算法 · 计算机科学 2022-09-05 Marten Maack

We resolve the fundamental problem of online decoding with general $n^{th}$ order ergodic Markov chain models. Specifically, we provide deterministic and randomized algorithms whose performance is close to that of the optimal offline…

机器学习 · 计算机科学 2019-05-31 Vikas K. Garg , Tamar Pichkhadze

We consider non-differentiable dynamic optimization problems such as those arising in robotics and subspace tracking. Given the computational constraints and the time-varying nature of the problem, a low-complexity algorithm is desirable,…

最优化与控制 · 数学 2019-02-20 Rishabh Dixit , Amrit Singh Bedi , Ruchi Tripathi , Ketan Rajawat

The rich literature on online Bayesian selection problems has long focused on so-called prophet inequalities, which compare the gain of an online algorithm to that of a "prophet" who knows the future. An equally-natural, though…

数据结构与算法 · 计算机科学 2021-08-19 Christos Papadimitriou , Tristan Pollner , Amin Saberi , David Wajc

The classical algorithms for online learning and decision-making have the benefit of achieving the optimal performance guarantees, but suffer from computational complexity limitations when implemented at scale. More recent sophisticated…

机器学习 · 计算机科学 2022-10-19 Guanghui Wang , Zihao Hu , Vidya Muthukumar , Jacob Abernethy

Motivated primarily by applications in cloud computing, we study a simple, yet powerful, online allocation problem in which jobs of varying durations arrive over continuous time and must be assigned immediately and irrevocably to one of the…

数据结构与算法 · 计算机科学 2025-06-10 Farbod Ekbatani , Yiding Feng , Ian Kash , Rad Niazadeh

In this paper, we develop an online optimization algorithm for solving a class of nonconvex optimization problems with a linearly varying optimal point. The global convergence of the algorithm is guaranteed using the circle criterion for…

最优化与控制 · 数学 2024-12-02 Alex Xinting Wu , Ian R. Petersen , Valery Ugrinovskii , Iman Shames

Online algorithm selection (OAS) aims to adapt the optimization process to changes in the fitness landscape and is expected to outperform any single algorithm from a given portfolio. Although this expectation is supported by numerous…

神经与进化计算 · 计算机科学 2026-04-10 Denis Antipov , Carola Doerr

We study the binary perceptron, a random constraint satisfaction problem that asks to find a Boolean vector in the intersection of independently chosen random halfspaces. A striking feature of this model is that at every positive constraint…

计算复杂性 · 计算机科学 2026-04-02 Shuyang Gong , Brice Huang , Shuangping Li , Mark Sellke

We study online convex optimization in a setting where the learner seeks to minimize the sum of a per-round hitting cost and a movement cost which is incurred when changing decisions between rounds. We prove a new lower bound on the…

机器学习 · 计算机科学 2019-10-23 Gautam Goel , Yiheng Lin , Haoyuan Sun , Adam Wierman

We initiate the study of centralized algorithms for welfare-maximizing allocation of goods to buyers subject to average-value constraints. We show that this problem is NP-hard to approximate beyond a factor of $\frac{e}{e-1}$, and provide a…

数据结构与算法 · 计算机科学 2025-09-09 Kshipra Bhawalkar , Zhe Feng , Anupam Gupta , Aranyak Mehta , David Wajc , Di Wang

In the fixed budget thresholding bandit problem, an algorithm sequentially allocates a budgeted number of samples to different distributions. It then predicts whether the mean of each distribution is larger or lower than a given threshold.…

机器学习 · 计算机科学 2021-10-19 Reda Ouhamma , Rémy Degenne , Pierre Gaillard , Vianney Perchet

We consider a variant of the online caching problem where the items exhibit dependencies among each other: an item can reside in the cache only if all its dependent items are also in the cache. The dependency relations can form any directed…

数据结构与算法 · 计算机科学 2024-01-31 Julien Dallot , Amirmehdi Jafari Fesharaki , Maciej Pacut , Stefan Schmid

We study sparse linear regression over a network of agents, modeled as an undirected graph and no server node. The estimation of the $s$-sparse parameter is formulated as a constrained LASSO problem wherein each agent owns a subset of the…

机器学习 · 计算机科学 2024-12-30 Marie Maros , Gesualdo Scutari , Ying Sun , Guang Cheng

We consider the setting of online convex optimization with adversarial time-varying constraints in which actions must be feasible w.r.t. a fixed constraint set, and are also required on average to approximately satisfy additional…

机器学习 · 计算机科学 2024-02-15 Dan Garber , Ben Kretzu

We consider an online assortment problem with $[n]:=\{1,2,\ldots,n\}$ sellers, each holding exactly one item $i\in[n]$ with initial inventory $c_i\in \mathbb{Z}_+$, and a sequence of homogeneous buyers arriving over a finite time horizon…

计算机科学与博弈论 · 计算机科学 2021-12-10 S. Rasoul Etesami

Motivated by the Beck-Fiala conjecture, we study the discrepancy problem in two related models of random hypergraphs on $n$ vertices and $m$ edges. In the first (edge-independent) model, a random hypergraph $H_1$ is constructed by fixing a…

组合数学 · 数学 2024-01-12 Calum MacRury , Tomáš Masařík , Leilani Pai , Xavier Pérez-Giménez

We study stochastic decision-theoretic online learning with full information and event-level pure differential privacy. A COLT open problem of Hu and Mehta asks to determine the optimal gap-dependent regret rate for stochastic…

机器学习 · 计算机科学 2026-05-29 Tommaso Cesari , Roberto Colomboni