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In online advertising markets, budget-constrained advertisers acquire ad placements through repeated bidding in auctions on various platforms. We present a strategy for bidding optimally in a set of auctions that may or may not be…

Computer Science and Game Theory · Computer Science 2023-06-14 Fransisca Susan , Negin Golrezaei , Okke Schrijvers

We consider chance-constrained problems with discrete random distribution. We aim for problems with a large number of scenarios. We propose a novel method based on the stochastic gradient descent method which performs updates of the…

Optimization and Control · Mathematics 2019-05-28 Lukáš Adam , Martin Branda

Stochastic Model Predictive Control addresses uncertainties by incorporating chance constraints that provide probabilistic guarantees of constraint satisfaction. However, simultaneously optimizing over the risk allocation and the feedback…

Systems and Control · Electrical Eng. & Systems 2026-04-07 Filipe Marques Barbosa , Johan Löfberg

Choosing decision variables deterministically (deterministic decision-making) can be regarded as a particular case of choosing decision variables probabilistically (probabilistic decision-making). It is necessary to investigate whether…

Optimization and Control · Mathematics 2023-09-18 Xun Shen , Yuhu Wu , Satoshi Ito , Jun-ichi Imura

In markets for online advertising, some advertisers pay only when users respond to ads. So publishers estimate ad response rates and multiply by advertiser bids to estimate expected revenue for showing ads. Since these estimates may be…

Computer Science and Game Theory · Computer Science 2015-06-08 Ragavendran Gopalakrishnan , Eric Bax , Krishna Prasad Chitrapura , Sachin Garg

We consider a design problem where experimental conditions (design points $X_i$) are presented in the form of a sequence of i.i.d.\ random variables, generated with an unknown probability measure $\mu$, and only a given proportion…

Methodology · Statistics 2020-08-05 Luc Pronzato , HaiYing Wang

This paper considers distributed online convex optimization with adversarial constraints. In this setting, a network of agents makes decisions at each round, and then only a portion of the loss function and a coordinate block of the…

Optimization and Control · Mathematics 2023-06-02 Xinlei Yi , Xiuxian Li , Tao Yang , Lihua Xie , Yiguang Hong , Tianyou Chai , Karl H. Johansson

In the context of advertising auctions, finding good reserve prices is a notoriously challenging learning problem. This is due to the heterogeneity of ad opportunity types and the non-convexity of the objective function. In this work, we…

Machine Learning · Computer Science 2017-11-07 Andrés Muñoz Medina , Sergei Vassilvitskii

Uncertainties from deepening penetration of renewable energy resources have posed critical challenges to the secure and reliable operations of future electric grids. Among various approaches for decision making in uncertain environments,…

Optimization and Control · Mathematics 2019-04-16 Xinbo Geng , Le Xie

In this paper we consider multiple constrained resource allocation problems, where the constraints can be specified by formulating activity dependency restrictions or by using game-theoretic models. All the problems are focused on generic…

Data Structures and Algorithms · Computer Science 2009-06-19 Mugurel Ionut Andreica , Madalina Ecaterina Andreica , Costel Visan

There are two major ways of selling impressions in display advertising. They are either sold in spot through auction mechanisms or in advance via guaranteed contracts. The former has achieved a significant automation via real-time bidding…

Computer Science and Game Theory · Computer Science 2015-12-11 Bowei Chen , Shuai Yuan , Jun Wang

We propose a combinatorial ascending auction that is "approximately" optimal, requiring minimal rationality to achieve this level of optimality, and is robust to strategic and distributional uncertainties. Specifically, the auction is…

Theoretical Economics · Economics 2024-08-23 Wei He , Jiangtao Li , Weijie Zhong

This paper introduces a framework for Chance-Constrained Optimization with Complex Variables, addressing complex linear programming for both individual and joint probabilistic constraints in the complex domain. We first analyze the 3CP…

Optimization and Control · Mathematics 2026-05-25 Raneem Madani , Abdel Lisser , Zeno Toffano

This paper is concerned with a constrained optimization problem over a directed graph (digraph) of nodes, in which the cost function is a sum of local objectives, and each node only knows its local objective and constraints. To…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-24 Pei Xie , Keyou You , Shiji Song , Cheng Wu

We study the relationship between the competitive ratio and the tail distribution of randomized online minimization problems. To this end, we define a broad class of online problems that includes some of the well-studied problems like…

Data Structures and Algorithms · Computer Science 2013-02-15 Dennis Komm , Rastislav Královič , Richard Královič , Tobias Mömke

The effectiveness of advertising in e-commerce largely depends on the ability of merchants to bid on and win impressions for their targeted users. The bidding procedure is highly complex due to various factors such as market competition,…

Information Retrieval · Computer Science 2023-12-29 Artem Betlei , Mariia Vladimirova , Mehdi Sebbar , Nicolas Urien , Thibaud Rahier , Benjamin Heymann

Many real-world optimization problems involve uncertain parameters with probability distributions that can be estimated using contextual feature information. In contrast to the standard approach of first estimating the distribution of…

Machine Learning · Statistics 2023-08-03 Meng Qi , Paul Grigas , Zuo-Jun Max Shen

This paper considers distributed resource allocation and sum-preserving constrained optimization over lossy networks, where the links are unreliable and subject to packet drops. We define the conditions to ensure convergence under packet…

Systems and Control · Electrical Eng. & Systems 2022-08-31 Mohammadreza Doostmohammadian , Usman A. Khan , Alireza Aghasi , Themistoklis Charalambous

This paper studies an online optimal resource reservation problem in communication networks with job transfers where the goal is to minimize the reservation cost while maintaining the blocking cost under a certain budget limit. To tackle…

Optimization and Control · Mathematics 2024-05-07 Ahmed Sid-Ali , Ioannis Lambadaris , Yiqiang Q. Zhao , Gennady Shaikhet , Amirhossein Asgharnia

We examine trade-offs among stakeholders in ad auctions. Our metrics are the revenue for the utility of the auctioneer, the number of clicks for the utility of the users and the welfare for the utility of the advertisers. We show how to…

Computer Science and Game Theory · Computer Science 2014-04-22 Yoram Bachrach , Sofia Ceppi , Ian A. Kash , Peter Key , David Kurokawa
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