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Many discrete optimization problems amount to selecting a feasible set of edges of least weight. We consider in this paper the context of spatial graphs where the positions of the vertices are uncertain and belong to known uncertainty sets.…

数据结构与算法 · 计算机科学 2022-09-27 Marin Bougeret , Jérémy Omer , Michael Poss

This paper studies online algorithms augmented with multiple machine-learned predictions. While online algorithms augmented with a single prediction have been extensively studied in recent years, the literature for the multiple predictions…

机器学习 · 计算机科学 2022-07-14 Keerti Anand , Rong Ge , Amit Kumar , Debmalya Panigrahi

Online algorithm has been an emerging area of interest for researchers in various domains of computer science. The online $m$-machine list scheduling problem introduced by Graham has gained theoretical as well as practical significance in…

数据结构与算法 · 计算机科学 2020-01-03 Rakesh Mohanty , Debasis Dwibedy , Shreeya Swagatika Sahoo

We consider online algorithms under both the competitive ratio criteria and the regret minimization one. Our main goal is to build a unified methodology that would be able to guarantee both criteria simultaneously. For a general class of…

机器学习 · 计算机科学 2019-04-09 Amit Daniely , Yishay Mansour

Computing lower and upper bounds on the competitive ratio of online algorithms is a challenging question: For a minimization combinatorial problem, proving a competitive ratio for a given algorithm leads to an upper bound. However computing…

计算机科学与博弈论 · 计算机科学 2022-12-19 Antoine Lhomme , Olivier Romane , Nicolas Catusse , Nadia Brauner

The domain of online algorithms with predictions has been extensively studied for different applications such as scheduling, caching (paging), clustering, ski rental, etc. Recently, Bamas et al., aiming for an unified method, have provided…

数据结构与算法 · 计算机科学 2021-10-04 Nguyen Kim Thang , Christoph Durr

We consider a parallel system of $m$ identical machines prone to unpredictable crashes and restarts, trying to cope with the continuous arrival of tasks to be executed. Tasks have different computational requirements (i.e., processing time…

分布式、并行与集群计算 · 计算机科学 2016-03-21 Elli Zavou , Antonio Fernández Anta

Learning theory has largely focused on two main learning scenarios. The first is the classical statistical setting where instances are drawn i.i.d. from a fixed distribution and the second scenario is the online learning, completely…

机器学习 · 统计学 2011-04-28 Alexander Rakhlin , Karthik Sridharan , Ambuj Tewari

This paper considers the recently popular beyond-worst-case algorithm analysis model which integrates machine-learned predictions with online algorithm design. We consider the online Steiner tree problem in this model for both directed and…

机器学习 · 计算机科学 2023-03-21 Chenyang Xu , Benjamin Moseley

We consider the first, and most well studied, speed scaling problem in the algorithmic literature: where the scheduling quality of service measure is a deadline feasibility constraint, and where the power objective is to minimize the total…

数据结构与算法 · 计算机科学 2013-07-03 Ahmed Abousamra , David P. Bunde , Kirk Pruhs

Bipartite ranking is a fundamental machine learning and data mining problem. It commonly concerns the maximization of the AUC metric. Recently, a number of studies have proposed online bipartite ranking algorithms to learn from massive…

机器学习 · 计算机科学 2019-03-12 Majdi Khalid , Indrakshi Ray , Hamidreza Chitsaz

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

分布式、并行与集群计算 · 计算机科学 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

We initiate a systematic study of utilizing predictions to improve over approximation guarantees of classic algorithms, without increasing the running time. We propose a systematic method for a wide class of optimization problems that ask…

数据结构与算法 · 计算机科学 2024-11-26 Antonios Antoniadis , Marek Eliáš , Adam Polak , Moritz Venzin

Many static benchmarks are beginning to saturate: as models rapidly improve, they achieve near-perfect scores on fixed test sets, leaving little headroom to expose genuine model weaknesses -- and even expert-curated challenge sets quickly…

计算与语言 · 计算机科学 2026-05-27 Wenda Xu , Vilém Zouhar , Parker Riley , Mara Finkelstein , Markus Freitag , Daniel Deutsch

Non-linear, especially convex, objective functions have been extensively studied in recent years in which approaches relies crucially on the convexity property of cost functions. In this paper, we present primal-dual approaches based on…

数据结构与算法 · 计算机科学 2017-08-17 Nguyen Kim Thang

In this paper, we study a certain class of online optimization problems, where the goal is to maximize a function that is not necessarily concave and satisfies the Diminishing Returns (DR) property under budget constraints. We analyze a…

最优化与控制 · 数学 2019-07-02 Omid Sadeghi , Reza Eghbali , Maryam Fazel

Assessing uncertainty is an important step towards ensuring the safety and reliability of machine learning systems. Existing uncertainty estimation techniques may fail when their modeling assumptions are not met, e.g. when the data…

机器学习 · 计算机科学 2017-01-24 Volodymyr Kuleshov , Stefano Ermon

We consider a model of robust learning in an adversarial environment. The learner gets uncorrupted training data with access to possible corruptions that may be affected by the adversary during testing. The learner's goal is to build a…

机器学习 · 计算机科学 2022-07-04 Idan Attias , Aryeh Kontorovich , Yishay Mansour

In the online bin packing problem, items of sizes in (0,1] arrive online to be packed into bins of size 1. The goal is to minimize the number of used bins. In this paper, we present an online bin packing algorithm with asymptotic…

数据结构与算法 · 计算机科学 2018-06-29 Sandy Heydrich , Rob van Stee

We study universal consistency of non-i.i.d. processes in the context of online learning. A stochastic process is said to admit universal consistency if there exists a learner that achieves vanishing average loss for any measurable response…

机器学习 · 计算机科学 2022-07-19 Moïse Blanchard , Romain Cosson