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We introduce the problem of model selection for contextual bandits, where a learner must adapt to the complexity of the optimal policy while balancing exploration and exploitation. Our main result is a new model selection guarantee for…

机器学习 · 计算机科学 2019-11-15 Dylan J. Foster , Akshay Krishnamurthy , Haipeng Luo

Nowadays, online learning is an appealing learning paradigm, which is of great interest in practice due to the recent emergence of large scale applications such as online advertising placement and online web ranking. Standard online…

机器学习 · 计算机科学 2019-11-27 Biyi Fang , Diego Klabjan

We study the regret performance of Sample Average Approximation (SAA) for data-driven newsvendor problems with general convex inventory costs. In literature, the optimality of SAA has not been fully established under both \alpha-global…

机器学习 · 计算机科学 2024-07-09 Jiameng Lyu , Shilin Yuan , Bingkun Zhou , Yuan Zhou

In this paper, the monotone submodular maximization problem (SM) is studied. SM is to find a subset of size $\kappa$ from a universe of size $n$ that maximizes a monotone submodular objective function $f$. We show using a novel analysis…

数据结构与算法 · 计算机科学 2021-07-07 Victoria G. Crawford

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

Population-based evolutionary algorithms are often considered when approaching computationally expensive black-box optimization problems. They employ a selection mechanism to choose the best solutions from a given population after comparing…

神经与进化计算 · 计算机科学 2024-01-30 Judith Echevarrieta , Etor Arza , Aritz Pérez

Evolutionary game theory classically investigates which behavioral patterns are evolutionarily successful in a single game. More recently, a number of contributions have studied the evolution of preferences instead: which subjective…

计算机科学与博弈论 · 计算机科学 2015-05-27 Paolo Galeazzi , Michael Franke

In the evolutionary computation community, it is widely believed that stagnation impedes convergence in evolutionary algorithms, and that convergence inherently indicates optimality. However, this perspective is misleading. In this study,…

机器学习 · 计算机科学 2026-02-06 Xiaojun Zhou

In the secretary problem, a set of secretary candidates arrive in a uniformly random order and reveal their values one by one. A company, who can only hire one candidate and hopes to maximize the expected value of its hire, needs to make…

数据结构与算法 · 计算机科学 2026-02-16 Mohammad Mahdian , Jieming Mao , Enze Sun , Kangning Wang , Yifan Wang

We study online fair allocation of $T$ sequentially arriving items among $n$ agents with heterogeneous preferences, with the objective of maximizing generalized-mean welfare, defined as the $p$-mean of agents' time-averaged utilities, with…

计算机科学与博弈论 · 计算机科学 2026-02-12 Zongjun Yang , Rachitesh Kumar , Christian Kroer

We study nonstationary Online Linear Programming (OLP), where $n$ orders arrive sequentially with reward-resource consumption pairs that form a sequence of independent, but not necessarily identically distributed, random vectors. At the…

数据结构与算法 · 计算机科学 2026-03-17 Haoran Xu , Owen Shen , Peter Glynn , Yinyu Ye , Patrick Jaillet

This work examines the expected computational cost to determine an approximate global minimum of a class of cost functions characterized by the variance of coefficients. The cost function takes $N$-dimensional binary states as arguments and…

计算复杂性 · 计算机科学 2019-05-27 Takuya Isomura

In this work, we propose an efficient minimax optimal global optimization algorithm for multivariate Lipschitz continuous functions. To evaluate the performance of our approach, we utilize the average regret instead of the traditional…

机器学习 · 计算机科学 2022-06-07 Kaan Gokcesu , Hakan Gokcesu

Online bilevel optimization (OBO) has emerged as a powerful framework for many machine learning problems. Prior works have developed several algorithms that minimize the standard bilevel local regret or the window-averaged bilevel local…

机器学习 · 计算机科学 2026-05-12 Tingkai Jia , Haiguang Wang , Cheng Chen

Multi-criteria decision-making often requires finding a small representative set from the database. A recently proposed method is the regret minimization set (RMS) query. RMS returns a size $r$ subset $S$ of dataset $D$ that minimizes the…

机器学习 · 计算机科学 2022-03-10 Xingxing Xiao , Jianzhong Li

The empirically successful Thompson Sampling algorithm for stochastic bandits has drawn much interest in understanding its theoretical properties. One important benefit of the algorithm is that it allows domain knowledge to be conveniently…

机器学习 · 计算机科学 2016-07-22 Che-Yu Liu , Lihong Li

In evolutionary robotics, robot morphologies are designed automatically using evolutionary algorithms. This creates a body-brain optimization problem, where both morphology and control must be optimized together. A common approach is to…

机器人学 · 计算机科学 2026-01-08 K. Ege de Bruin , Kyrre Glette , Kai Olav Ellefsen

We study a single-server scheduling problem for the objective of minimizing the expected cumulative holding cost incurred by jobs, where parameters defining stochastic job holding costs are unknown to the scheduler. We consider a general…

机器学习 · 计算机科学 2022-09-22 Dabeen Lee , Milan Vojnovic

The need for fast and robust optimization algorithms are of critical importance in all areas of machine learning. This paper treats the task of designing optimization algorithms as an optimal control problem. Using regret as a metric for an…

机器学习 · 计算机科学 2021-01-21 Philippe Casgrain , Anastasis Kratsios

We present an evolutionary algorithm evo-SMC for the problem of Submodular Maximization under Cost constraints (SMC). Our algorithm achieves $1/2$-approximation with a high probability $1-1/n$ within $\mathcal{O}(n^2K_{\beta})$ iterations,…

数据结构与算法 · 计算机科学 2024-08-20 Yanhui Zhu , Samik Basu , A Pavan