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This paper develops a general approach, rooted in statistical learning theory, to learning an approximately revenue-maximizing auction from data. We introduce $t$-level auctions to interpolate between simple auctions, such as welfare…

计算机科学与博弈论 · 计算机科学 2015-06-12 Jamie Morgenstern , Tim Roughgarden

Much of modern learning theory has been split between two regimes: the classical offline setting, where data arrive independently, and the online setting, where data arrive adversarially. While the former model is often both computationally…

机器学习 · 统计学 2022-06-01 Adam Block , Yuval Dagan , Noah Golowich , Alexander Rakhlin

We study a broad class of assortment optimization problems in an offline and data-driven setting. In such problems, a firm lacks prior knowledge of the underlying choice model, and aims to determine an optimal assortment based on historical…

机器学习 · 计算机科学 2025-10-03 Juncheng Dong , Weibin Mo , Zhengling Qi , Cong Shi , Ethan X. Fang , Vahid Tarokh

We consider the online vector packing problem in which we have a $d$ dimensional knapsack and items $u$ with weight vectors $\mathbf{w}_u \in \mathbb{R}_+^d$ arrive online in an arbitrary order. Upon the arrival of an item, the algorithm…

离散数学 · 计算机科学 2017-06-22 T-H. Hubert Chan , Shaofeng H. -C. Jiang , Zhihao Gavin Tang , Xiaowei Wu

We consider online learning problems under a partial observability model capturing situations where the information conveyed to the learner is between full information and bandit feedback. In the simplest variant, we assume that in addition…

机器学习 · 计算机科学 2026-04-28 Tomas Kocak , Gergely Neu , Michal Valko , Remi Munos

In many repeated auction settings, participants care not only about how frequently they win but also how their winnings are distributed over time. This problem arises in various practical domains where avoiding congested demand is crucial,…

计算机科学与博弈论 · 计算机科学 2025-06-13 Giannis Fikioris , Robert Kleinberg , Yoav Kolumbus , Raunak Kumar , Yishay Mansour , Éva Tardos

Multi-dueling bandits, where a learner selects $m \geq 2$ arms per round and observes only the winner, arise naturally in many applications including ranking and recommendation systems, yet a fundamental question has remained open: can a…

机器学习 · 计算机科学 2026-05-19 S Akash , Pratik Gajane , Jawar Singh

In the submodular cover problem, we are given a non-negative monotone submodular function $f$ over a ground set $E$ of items, and the goal is to choose a smallest subset $S \subseteq E$ such that $f(S) = Q$ where $Q = f(E)$. In the…

数据结构与算法 · 计算机科学 2018-11-01 Arpit Agarwal , Sepehr Assadi , Sanjeev Khanna

We consider a practically motivated variant of the canonical online fair allocation problem: a decision-maker has a budget of perishable resources to allocate over a fixed number of rounds. Each round sees a random number of arrivals, and…

最优化与控制 · 数学 2026-04-03 Siddhartha Banerjee , Chamsi Hssaine , Sean R. Sinclair

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

机器学习 · 计算机科学 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

We study the problem of pure exploration in matching markets under uncertain preferences, where the goal is to identify a stable matching with confidence parameter $\delta$ and minimal sample complexity. Agents learn preferences via…

计算机科学与博弈论 · 计算机科学 2025-09-19 Tejas Pagare , Agniv Bandyopadhyay , Sandeep Juneja

We consider distributed online min-max resource allocation with a set of parallel agents and a parameter server. Our goal is to minimize the pointwise maximum over a set of time-varying and decreasing cost functions, without a priori…

信息论 · 计算机科学 2023-07-21 Jingrong Wang , Ben Liang

We introduce a new model of stochastic bandits with adversarial corruptions which aims to capture settings where most of the input follows a stochastic pattern but some fraction of it can be adversarially changed to trick the algorithm,…

机器学习 · 计算机科学 2018-03-28 Thodoris Lykouris , Vahab Mirrokni , Renato Paes Leme

In STOC'16, Fraigniaud et al. consider the problem of finding a treasure hidden in one of many boxes that are ordered by importance. That is, if a treasure is in a more important box, then one would like to find it faster. Assuming there…

分布式、并行与集群计算 · 计算机科学 2016-04-19 Amos Korman , Yoav Rodeh

In this paper, we study a special bandit setting of online stochastic linear optimization, where only one-bit of information is revealed to the learner at each round. This problem has found many applications including online advertisement…

机器学习 · 计算机科学 2015-09-28 Lijun Zhang , Tianbao Yang , Rong Jin , Zhi-Hua Zhou

We revisit the problem of large-scale assortment optimization under the multinomial logit choice model without any assumptions on the structure of the feasible assortments. Scalable real-time assortment optimization has become essential in…

最优化与控制 · 数学 2018-05-02 Deeksha Sinha , Theja Tulabandhula

We consider a multi-armed bandit setting with finitely many arms, in which each arm yields an $M$-dimensional vector reward upon selection. We assume that the reward of each dimension (a.k.a. {\em objective}) is generated independently of…

机器学习 · 计算机科学 2025-01-24 Zhirui Chen , P. N. Karthik , Yeow Meng Chee , Vincent Y. F. Tan

Finding global optima in high-dimensional optimization problems is extremely challenging since the number of function evaluations required to sufficiently explore the search space increases exponentially with its dimensionality.…

机器学习 · 计算机科学 2022-11-04 Julian F. Schumann , Alejandro M. Aragón

Subadditive set functions play a pivotal role in computational economics (especially in combinatorial auctions), combinatorial optimization or artificial intelligence applications such as interpretable machine learning. However, specifying…

机器学习 · 计算机科学 2026-03-12 Martin Černý , David Sychrovský , Filip Úradník , Jakub Černý

We introduce online learning with vector costs (\OLVCp) where in each time step $t \in \{1,\ldots, T\}$, we need to play an action $i \in \{1,\ldots,n\}$ that incurs an unknown vector cost in $[0,1]^{d}$. The goal of the online algorithm is…

机器学习 · 计算机科学 2020-10-19 Thomas Kesselheim , Sahil Singla