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Suppose a customer is faced with a sequence of fluctuating prices, such as for airfare or a product sold by a large online retailer. Given distributional information about what price they might face each day, how should they choose when to…

数据结构与算法 · 计算机科学 2019-10-10 Hossein Esfandiari , MohammadTaghi HajiAghayi , Brendan Lucier , Michael Mitzenmacher

Integer programming (IP) is a general optimization framework widely applicable to a variety of unstructured and structured problems arising in, e.g., scheduling, production planning, and graph optimization. As IP models many provably hard…

机器学习 · 计算机科学 2020-07-22 Yunhao Tang , Shipra Agrawal , Yuri Faenza

Constrained submodular maximization problems have long been studied, with near-optimal results known under a variety of constraints when the submodular function is monotone. The case of non-monotone submodular maximization is less…

数据结构与算法 · 计算机科学 2010-10-07 Anupam Gupta , Aaron Roth , Grant Schoenebeck , Kunal Talwar

In the online random-arrival model, an algorithm receives a sequence of n requests that arrive in a random order. The algorithm is expected to make an irrevocable decision with regard to each request based only on the observed history. We…

数据结构与算法 · 计算机科学 2014-07-08 Shai Vardi

This paper focuses on decentralized stochastic optimization in the presence of Byzantine attacks. During the optimization process, an unknown number of malfunctioning or malicious workers, termed as Byzantine workers, disobey the…

分布式、并行与集群计算 · 计算机科学 2023-04-13 Zhaoxian Wu , Tianyi Chen , Qing Ling

In this paper, we propose a first-order distributed optimization algorithm that is provably robust to Byzantine failures-arbitrary and potentially adversarial behavior, where all the participating agents are prone to failure. We model each…

最优化与控制 · 数学 2022-07-27 Berkay Turan , Cesar A. Uribe , Hoi-To Wai , Mahnoosh Alizadeh

The value maximization version of the secretary problem is the problem of hiring a candidate with the largest value from a randomly ordered sequence of candidates. In this work, we consider a setting where predictions of candidate values…

数据结构与算法 · 计算机科学 2023-08-21 Kaito Fujii , Yuichi Yoshida

The secretary problem is one of the fundamental problems in online decision making; a tight competitive ratio for this problem of $1/\mathrm{e} \approx 0.368$ has been known since the 1960s. Much more recently, the study of algorithms with…

数据结构与算法 · 计算机科学 2024-10-01 Alexander Braun , Sherry Sarkar

There are two major models of value uncertainty in the optimal stopping literature: the secretary model, which assumes no prior knowledge, and the prophet inequality model, which assumes full information about value distributions. In…

数据结构与算法 · 计算机科学 2026-03-03 Tian Bai , Zhiyi Huang , Chui Shan Lee , Dongchen Li

In a matroid secretary problem, one is presented with a sequence of objects of various weights in a random order, and must choose irrevocably to accept or reject each item. There is a further constraint that the set of items selected must…

计算机科学与博弈论 · 计算机科学 2013-01-22 David Harris , Manish Purohit

Byzantine robustness has received significant attention recently given its importance for distributed and federated learning. In spite of this, we identify severe flaws in existing algorithms even when the data across the participants is…

机器学习 · 计算机科学 2021-06-30 Sai Praneeth Karimireddy , Lie He , Martin Jaggi

In this paper, we investigate two variants of the secretary problem. In these variants, we are presented with a sequence of numbers $X_i$ that come from distributions $\mathcal{D}_i$, and that arrive in either random or adversarial order.…

数据结构与算法 · 计算机科学 2022-08-22 Pranav Nuti , Jan Vondrák

The classical analysis of online algorithms, due to its worst-case nature, can be quite pessimistic when the input instance at hand is far from worst-case. Often this is not an issue with machine learning approaches, which shine in…

数据结构与算法 · 计算机科学 2020-10-22 Antonios Antoniadis , Themis Gouleakis , Pieter Kleer , Pavel Kolev

We extend the standard online worst-case model to accommodate past experience which is available to the online player in many practical scenarios. We do this by revealing a random sample of the adversarial input to the online player ahead…

数据结构与算法 · 计算机科学 2019-07-12 Haim Kaplan , David Naori , Danny Raz

Mixed integer sets have a strong modeling capacity to describe practical systems. Nevertheless, incorporating a mixed integer set often renders an optimization formulation drastically more challenging to compute. In this paper, we study how…

最优化与控制 · 数学 2023-12-22 Wei Wang , Bo Zeng

Rank aggregation problems aim to combine multiple individual orderings of a common set of items into a consensus ranking that best reflects the collective preferences. This paper introduces a general Integer Linear Programming (ILP)…

Decision making needs to take an uncertain environment into account. Over the last decades, robust optimization has emerged as a preeminent method to produce solutions that are immunized against uncertainty. The main focus in robust…

最优化与控制 · 数学 2021-02-11 Marc Goerigk , Michael Hartisch

Cutting and packing problems are present in many, at first glance unconnected, areas, therefore it's beneficial to have a good understanding of their underlying structure, to select proper techniques for finding solutions. Cutting and…

最优化与控制 · 数学 2023-11-14 Szymon Wróbel

Lower bounds and impossibility results in distributed computing are both intellectually challenging and practically important. Hundreds if not thousands of proofs appear in the literature, but surprisingly, the vast majority of them apply…

分布式、并行与集群计算 · 计算机科学 2021-10-13 Guy Goren , Yoram Moses , Alexander Spiegelman

Training modern neural networks or models typically requires averaging over a sample of high-dimensional vectors. Poisoning attacks can skew or bias the average vectors used to train the model, forcing the model to learn specific patterns…

密码学与安全 · 计算机科学 2024-12-17 Sarthak Choudhary , Aashish Kolluri , Prateek Saxena