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Firms in the U.S. spend over 200 billion dollars each year advertising their products to consumers, around one percent of the country's gross domestic product. It is of great interest to understand how that aggregate expenditure affects…

物理与社会 · 物理学 2023-08-15 Joseph D. Johnson , Adam M. Redlich , Daniel M. Abrams

In this paper, we address the theoretical limitations in reconstructing sparse signals (in a known complete basis) using compressed sensing framework. We also divide the CS to non-blind and blind cases. Then, we compute the Bayesian…

信息论 · 计算机科学 2010-05-25 Hadi Zayyani , Massoud Babaie-Zadeh , Christian Jutten

Statistical estimation in many contemporary settings involves the acquisition, analysis, and aggregation of datasets from multiple sources, which can have significant differences in character and in value. Due to these variations, the…

应用统计 · 统计学 2014-12-23 Quentin Berthet , Venkat Chandrasekaran

Ordinal user-provided ratings across multiple items are frequently encountered in both scientific and commercial applications. Whilst recommender systems are known to do well on these type of data from a predictive point of view, their…

统计方法学 · 统计学 2025-03-05 Sjoerd Hermes

We study a game played between advertisers in an online ad platform. The platform sells ad impressions by first-price auction and provides autobidding algorithms that optimize bids on each advertiser's behalf, subject to advertiser…

计算机科学与博弈论 · 计算机科学 2023-11-16 Yiding Feng , Brendan Lucier , Aleksandrs Slivkins

Buyers (e.g., advertisers) often have limited financial and processing resources, and so their participation in auctions is throttled. Changes to auctions may affect bids or throttling and any change may affect what winners pay. This paper…

应用统计 · 统计学 2016-05-31 Guillaume W. Basse , Hossein Azari Soufiani , Diane Lambert

In quantum multi-parameter estimation, the precision of estimating unknown parameters is bounded by the Cramer-Rao bound (CRB), defined via the inverse of the Fisher information matrix (FIM). However, in certain scenarios such as…

量子物理 · 物理学 2025-11-18 Min Namkung , Changhyoup Lee , Hyang-Tag Lim

Scaling limits are analyzed for stochastic continuous opinion dynamics systems, also known as gossip models. In such models, agents update their vector-valued opinion to a convex combination (possibly agent- and opinion-dependent) of their…

概率论 · 数学 2011-09-23 Giacomo Como , Fabio Fagnani

We study the online budgeted allocation (also called ADWORDS) problem, where a set of impressions arriving online are allocated to a set of budget-constrained advertisers to maximize revenue. Motivated by connections to Internet…

数据结构与算法 · 计算机科学 2016-03-28 Nathaniel Kell , Debmalya Panigrahi

In modern ranking problems, different and disparate representations of the items to be ranked are often available. It is sensible, then, to try to combine these representations to improve ranking. Indeed, learning to rank via combining…

In multiparameter quantum metrology, the weighted-arithmetic-mean error of estimation is often used as a scalar cost function to be minimized during design optimization. However, other types of mean error can reveal different facets of…

量子物理 · 物理学 2020-02-12 Xiao-Ming Lu , Zhihao Ma , Chengjie Zhang

The goal of online display advertising is to entice users to "convert" (i.e., take a pre-defined action such as making a purchase) after clicking on the ad. An important measure of the value of an ad is the probability of conversion. The…

机器学习 · 统计学 2017-10-25 Abdollah Safari , Rachel MacKay Altman , Thomas M. Loughin

Advanced super-resolution imaging techniques require specific approaches for accurate and consistent estimation of the achievable spatial resolution. Fisher information supplied to Cramer-Rao bound (CRB) has proved to be a powerful and…

The field of information retrieval often works with limited and noisy data in an attempt to classify documents into subjective categories, e.g., relevance, sentiment and controversy. We typically quantify a notion of agreement to understand…

信息检索 · 计算机科学 2018-06-14 John Foley

This paper concerns the estimation of sums of functions of observable and unobservable variables. Lower bounds for the asymptotic variance and a convolution theorem are derived in general finite- and infinite-dimensional models. An explicit…

统计理论 · 数学 2007-06-13 Cun-Hui Zhang

AI advice is becoming increasingly popular, e.g., in investment and medical treatment decisions. As this advice is typically imperfect, decision-makers have to exert discretion as to whether actually follow that advice: they have to…

人工智能 · 计算机科学 2023-04-14 Max Schemmer , Niklas Kühl , Carina Benz , Andrea Bartos , Gerhard Satzger

Online political advertising is a central aspect of modern election campaigning for influencing public opinion. Computational analysis of political ads is of utmost importance in political science to understand the characteristics of…

计算与语言 · 计算机科学 2021-05-27 Danae Sánchez Villegas , Saeid Mokaram , Nikolaos Aletras

We study and formulate arbitrage in display advertising. Real-Time Bidding (RTB) mimics stock spot exchanges and utilises computers to algorithmically buy display ads per impression via a real-time auction. Despite the new automation, the…

计算机科学与博弈论 · 计算机科学 2015-06-15 Weinan Zhang , Jun Wang

This is a tutorial aimed at illustrating some recent developments in quantum parameter estimation beyond the Cram\`er-Rao bound, as well as their applications in quantum metrology. Our starting point is the observation that there are…

量子物理 · 物理学 2020-03-06 Luigi Seveso , Matteo G. A. Paris

In an instrumental variable model, the score statistic can be bounded for any alternative in parts of the parameter space. These regions involve a constraint on the first-stage regression coefficients and the reduced-form covariance matrix.…

统计理论 · 数学 2021-09-13 Marcelo J. Moreira , Geert Ridder