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We consider a multiproduct monopoly pricing model. We provide sufficient conditions under which the optimal mechanism can be implemented via upgrade pricing -- a menu of product bundles that are nested in the strong set order. Our approach…

计算机科学与博弈论 · 计算机科学 2021-12-03 Dirk Bergemann , Alessandro Bonatti , Andreas Haupt , Alex Smolin

This monograph develops a comprehensive statistical learning framework that is robust to (distributional) perturbations in the data using Distributionally Robust Optimization (DRO) under the Wasserstein metric. Beginning with fundamental…

机器学习 · 统计学 2021-08-23 Ruidi Chen , Ioannis Ch. Paschalidis

Randomized mechanisms, which map a set of bids to a probability distribution over outcomes rather than a single outcome, are an important but ill-understood area of computational mechanism design. We investigate the role of randomized…

计算机科学与博弈论 · 计算机科学 2009-04-17 Patrick Briest , Shuchi Chawla , Robert Kleinberg , S. Matthew Weinberg

We consider statistical methods which invoke a min-max distributionally robust formulation to extract good out-of-sample performance in data-driven optimization and learning problems. Acknowledging the distributional uncertainty in learning…

统计理论 · 数学 2021-08-05 Jose Blanchet , Karthyek Murthy , Viet Anh Nguyen

Model explainability is crucial for human users to be able to interpret how a proposed classifier assigns labels to data based on its feature values. We study generalized linear models constructed using sets of feature value rules, which…

机器学习 · 统计学 2023-11-06 Sanjeeb Dash , Soumyadip Ghosh , Joao Goncalves , Mark S. Squillante

The problem of robust dynamic pricing of an abstract commodity, whose inventory is specified at an initial time but never subsequently replenished, originally studied by Perakis and Sood (2006) in discrete time, is considered from the…

最优化与控制 · 数学 2012-09-04 Terry L. Friesz , Changhyun Kwon , Tae Il Kim , Lifan Fan , Tao Yao

In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

最优化与控制 · 数学 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Real-Time Bidding (RTB) is an important mechanism in modern online advertising systems. Advertisers employ bidding strategies in RTB to optimize their advertising effects subject to various financial requirements, especially the…

机器学习 · 计算机科学 2022-07-19 Haozhe Wang , Chao Du , Panyan Fang , Shuo Yuan , Xuming He , Liang Wang , Bo Zheng

Real-time bidding (RTB) is an important mechanism in online display advertising, where a proper bid for each page view plays an essential role for good marketing results. Budget constrained bidding is a typical scenario in RTB where the…

人工智能 · 计算机科学 2018-10-24 Di Wu , Xiujun Chen , Xun Yang , Hao Wang , Qing Tan , Xiaoxun Zhang , Jian Xu , Kun Gai

Recoverable robust optimization is a multi-stage approach, where it is possible to adjust a first-stage solution after the uncertain cost scenario is revealed. We analyze this approach for a class of selection problems. The aim is to choose…

最优化与控制 · 数学 2021-02-22 Marc Goerigk , Stefan Lendl , Lasse Wulf

We study robust mechanisms to sell a common-value good. We assume that the mechanism designer knows the prior distribution of the buyers' common value but is unsure of the buyers' information structure about the common value. We use linear…

计算机科学与博弈论 · 计算机科学 2016-11-22 Songzi Du

Cloud computing as a fairly new commercial paradigm, widely investigated by different researchers, already has a great range of challenges. Pricing is a major problem in Cloud computing marketplace; as providers are competing to attract…

计算机科学与博弈论 · 计算机科学 2023-09-21 S. Ghasemi , M. R. Meybodi , M. Dehghan , A. M. Rahmani

A novel distributed algorithm is proposed for finite-time converging to a feasible consensus solution satisfying global optimality to a certain accuracy of the distributed robust convex optimization problem (DRCO) subject to bounded…

最优化与控制 · 数学 2023-09-06 Xunhao Wu , Jun Fu

In safety-critical applications, machine learning models should generalize well under worst-case distribution shifts, that is, have a small robust risk. Invariance-based algorithms can provably take advantage of structural assumptions on…

机器学习 · 统计学 2025-02-06 Julia Kostin , Nicola Gnecco , Fanny Yang

In robust combinatorial optimization, we would like to find a solution that performs well under all realizations of an uncertainty set of possible parameter values. How we model this uncertainty set has a decisive influence on the…

最优化与控制 · 数学 2024-04-30 Marc Goerigk , Mohammad Khosravi

In this paper, we consider a distributionally robust resource planning model inspired by a real-world service industry problem. In this problem, there is a mixture of known demand and uncertain future demand. Prior to having full knowledge…

最优化与控制 · 数学 2022-07-07 Ben Black , Russell Ainslie , Trivikram Dokka , Christopher Kirkbride

We consider the problem of optimizing locations of distribution centers (DCs) and plans for distributing resources such as test kits and vaccines, under spatiotemporal uncertainties of disease spread and demand for the resources. We aim to…

最优化与控制 · 数学 2022-07-19 Beste Basciftci , Xian Yu , Siqian Shen

Robust machine learning formulations have emerged to address the prevalent vulnerability of deep neural networks to adversarial examples. Our work draws the connection between optimal robust learning and the privacy-utility tradeoff…

机器学习 · 计算机科学 2021-05-20 Ye Wang , Shuchin Aeron , Adnan Siraj Rakin , Toshiaki Koike-Akino , Pierre Moulin

We study the economic interactions among sellers and buyers in online markets. In such markets, buyers have limited information about the product quality, but can observe the sellers' reputations which depend on their past transaction…

计算机科学与博弈论 · 计算机科学 2021-03-31 Qian Ma , Jianwei Huang , Tamer Başar , Ji Liu , Xudong Chen

This paper investigates the regret associated with the Distributionally Robust Control (DRC) strategies used to address multistage optimization problems where the involved probability distributions are not known exactly, but rather are…

最优化与控制 · 数学 2022-12-02 Venkatraman Renganathan , Dongjun Wu