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We present a new recommendation setting for picking out two items from a given set to be highlighted to a user, based on contextual input. These two items are presented to a user who chooses one of them, possibly stochastically, with a bias…

机器学习 · 计算机科学 2016-01-26 Daniel Barsky , Koby Crammer

In this paper, we study the assortment optimization problem under the mixed-logit customer choice model. While assortment optimization has been a major topic in revenue management for decades, the mixed-logit model is considered one of the…

最优化与控制 · 数学 2024-07-29 Hoang Giang Pham , Tien Mai

Ensemble-based approaches are very effective in various fields in raising the accuracy of its individual members, when some voting rule is applied for aggregating the individual decisions. In this paper, we investigate how to find and…

人工智能 · 计算机科学 2019-04-10 Attila Tiba , Andras Hajdu , Gyorgy Terdik , Henrietta Toman

In this paper, we study the following robust optimization problem. Given an independence system and candidate objective functions, we choose an independent set, and then an adversary chooses one objective function, knowing our choice. Our…

数据结构与算法 · 计算机科学 2018-05-22 Yasushi Kawase , Hanna Sumita

In-context learning (ICL) leverages in-context examples as prompts for the predictions of Large Language Models (LLMs). These prompts play a crucial role in achieving strong performance. However, the selection of suitable prompts from a…

机器学习 · 计算机科学 2024-09-16 Jian Qian , Miao Sun , Sifan Zhou , Ziyu Zhao , Ruizhi Hun , Patrick Chiang

We address a generalization of the bandit with knapsacks problem, where a learner aims to maximize rewards while satisfying an arbitrary set of long-term constraints. Our goal is to design best-of-both-worlds algorithms that perform…

机器学习 · 计算机科学 2024-05-28 Martino Bernasconi , Matteo Castiglioni , Andrea Celli , Federico Fusco

Question answering over hybrid contexts is a complex task, which requires the combination of information extracted from unstructured texts and structured tables in various ways. Recently, In-Context Learning demonstrated significant…

计算与语言 · 计算机科学 2023-10-23 Jonathan Tonglet , Manon Reusens , Philipp Borchert , Bart Baesens

We investigate the contextual bandits with knapsack (CBwK) problem in a high-dimensional linear setting, where the feature dimension can be very large. Our goal is to harness sparsity to obtain sharper regret guarantees. To this end, we…

机器学习 · 计算机科学 2025-08-05 Wanteng Ma , Dong Xia , Jiashuo Jiang

We study the problem of maximizing a non-negative monotone $k$-submodular function $f$ under a knapsack constraint, where a $k$-submodular function is a natural generalization of a submodular function to $k$ dimensions. We present a…

数据结构与算法 · 计算机科学 2023-08-04 Zhongzheng Tang , Chenhao Wang , Hau Chan

In many submodular optimization applications, datasets are naturally partitioned into disjoint subsets. These scenarios give rise to submodular optimization problems with partition-based constraints, where the desired solution set should be…

数据结构与算法 · 计算机科学 2026-01-21 Wenjing Chen , Yixin Chen , Victoria G. Crawford

We study an online decision making problem where on each round a learner chooses a list of items based on some side information, receives a scalar feedback value for each individual item, and a reward that is linearly related to this…

机器学习 · 计算机科学 2016-11-07 Akshay Krishnamurthy , Alekh Agarwal , Miroslav Dudik

Minesweeper is a popular spatial-based decision-making game that works with incomplete information. As an exemplary NP-complete problem, it is a major area of research employing various artificial intelligence paradigms. The present work…

人工智能 · 计算机科学 2021-05-11 Yash Pratyush Sinha , Pranshu Malviya , Rupaj Kumar Nayak

Tiering is an essential technique for building large-scale information retrieval systems. While the selection of documents for high priority tiers critically impacts the efficiency of tiering, past work focuses on optimizing it with respect…

信息检索 · 计算机科学 2020-05-19 Hyokun Yun , Michael Froh , Roshan Makhijani , Brian Luc , Alex Smola , Trishul Chilimbi

This paper studies the multi-item newsvendor problem with a constrained budget and information about demand limited to its range, mean and mean absolute deviation. We consider a minimax model that determines order quantities by minimizing…

最优化与控制 · 数学 2023-01-10 Guus Boonstra , Wouter J. E. C. van Eekelen , Johan S. H. van Leeuwaarden

In this paper, we investigate a class of submodular problems which in general are very hard. These include minimizing a submodular cost function under combinatorial constraints, which include cuts, matchings, paths, etc., optimizing a…

机器学习 · 计算机科学 2019-02-28 Rishabh Iyer , Jeff Bilmes

We study online learning in episodic constrained Markov decision processes (CMDPs), where the learner aims at collecting as much reward as possible over the episodes, while satisfying some long-term constraints during the learning process.…

We study the problem of maximizing a monotone increasing submodular function over a set of weighted elements subject to a knapsack constraint. Although this problem is NP-hard, many applications require exact solutions, as approximate…

数据结构与算法 · 计算机科学 2025-10-21 Sabine Münch , Stephen Raach

Rollout algorithms have demonstrated excellent performance on a variety of dynamic and discrete optimization problems. Interpreted as an approximate dynamic programming algorithm, a rollout algorithm estimates the value-to-go at each…

数据结构与算法 · 计算机科学 2013-11-27 Andrew Mastin , Patrick Jaillet

We introduce a novel approach to reduce the computational effort of solving mixed-integer convex chance constrained programs through the scenario approach. Instead of reducing the number of required scenarios, we directly minimize the…

最优化与控制 · 数学 2020-02-05 Damian Frick , Pier Giuseppe Sessa , Tony A. Wood , Maryam Kamgarpour

The Set Cover Problem (SCP) and the Hitting Set Problem (HSP) are well-studied optimization problems. In this paper we introduce the Reward-Penalty-Selection Problem (RPSP) which can be understood as a combination of the SCP and the HSP…

计算复杂性 · 计算机科学 2021-06-29 T. Heller , S. O. Krumke , K. -H. Küfer