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In applied probability, the normal approximation is often used for the distribution of data with assumed additive structure. This tradition is based on the central limit theorem for sums of (independent) random variables. However, it is…

概率论 · 数学 2020-10-27 Alexandra Dorofeeva , Victor Korolev , Alexander Zeifman

In the last decade, the advertisement market spread significantly in the web and mobile app system. Its effectiveness is also due thanks to the possibility to target the advertisement on the specific interests of the actual user, other than…

社会与信息网络 · 计算机科学 2016-11-17 Mauro Conti , Vittoria Cozza , Marinella Petrocchi , Angelo Spognardi

In online advertising, our aim is to match the advertisers with the most relevant users to optimize the campaign performance. In the pursuit of achieving this goal, multiple data sources provided by the advertisers or third-party data…

人工智能 · 计算机科学 2017-12-01 Sahin Cem Geyik , Jianqiang Shen , Shahriar Shariat , Ali Dasdan , Santanu Kolay

We revisit the problem of computing submatrices of the Cram\'er-Rao bound (CRB), which lower bounds the variance of any unbiased estimator of a vector parameter $\vth$. We explore iterative methods that avoid direct inversion of the Fisher…

信息论 · 计算机科学 2015-06-04 Paul Tune

In this paper, we consider signals with a low-rank covariance matrix which reside in a low-dimensional subspace and can be written in terms of a finite (small) number of parameters. Although such signals do not necessarily have a sparse…

统计理论 · 数学 2023-07-19 Mahdi Shaghaghi , Sergiy A. Vorobyov

Major Internet advertising platforms offer budget pacing tools as a standard service for advertisers to manage their ad campaigns. Given the inherent non-stationarity in an advertiser's value and also competing advertisers' values over…

机器学习 · 计算机科学 2023-02-07 Santiago Balseiro , Rachitesh Kumar , Vahab Mirrokni , Balasubramanian Sivan , Di Wang

Large recommendation models (LRMs) are fundamental to the multi-billion dollar online advertising industry, processing massive datasets of hundreds of billions of examples before transitioning to continuous online training to adapt to…

We model competition on a credence goods market governed by an imperfect label, signaling high quality, as a rank-order tournament between firms. In this market interaction, asymmetric firms jointly and competitively control the aggregate…

理论经济学 · 经济学 2025-08-28 Daniel Rehsmann , Béatrice Roussillon , Paul Schweinzer

Complete awareness of the wireless environment, crucial for future intelligent networks, requires sensing all transmitted signals, not just the strongest. A fundamental barrier is estimating the target signal when it is buried under strong…

信号处理 · 电气工程与系统科学 2026-03-17 Bowen Li , Junting Chen , Nikolaos Pappas

We discuss the Heisenberg limit in the multiparameter metrology within two different paradigms -- the one, where the measurement is repeated many times (so the Cram\'er-Rao bound is guaranteed to be asymptotically saturable) and the second…

量子物理 · 物理学 2022-09-16 Wojciech Górecki , Rafał Demkowicz-Dobrzański

The Cram\'er-Rao bound (CRB), a well-known lower bound on the performance of any unbiased parameter estimator, has been used to study a wide variety of problems. However, to obtain the CRB, requires an analytical expression for the…

机器学习 · 计算机科学 2022-10-11 Hai Victor Habi , Hagit Messer , Yoram Bresler

Causally identifying the effect of digital advertising is challenging, because experimentation is expensive, and observational data lacks random variation. This paper identifies a pervasive source of naturally occurring, quasi-experimental…

计量经济学 · 经济学 2022-02-18 George Gui , Harikesh Nair , Fengshi Niu

We consider the problem of bidding in online advertising, where an advertiser aims to maximize value while adhering to budget and Return-on-Spend (RoS) constraints. Unlike prior work that assumes knowledge of the value generated by winning…

机器学习 · 计算机科学 2025-03-06 Sushant Vijayan , Zhe Feng , Swati Padmanabhan , Karthikeyan Shanmugam , Arun Suggala , Di Wang

We study a natural model of coordinated social ad campaigns over a social network, based on models of Datta et al. and Aslay et al. Multiple advertisers are willing to pay the host - up to a known budget - per user exposure, whether the…

社会与信息网络 · 计算机科学 2019-12-30 Kartik Lakhotia , David Kempe

With the growing adoption of machine learning (ML) systems in areas like law enforcement, criminal justice, finance, hiring, and admissions, it is increasingly critical to guarantee the fairness of decisions assisted by ML. In this paper,…

机器学习 · 计算机科学 2024-05-17 Meiyu Zhong , Ravi Tandon

Ratios of random variables often appear in probability and statistical applications. We aim to approximate the moments of such ratios under several dependence assumptions. Extending the ideas in Collomb [C. R. Acad. Sci. Paris 285 (1977)…

统计理论 · 数学 2010-01-14 Paul Doukhan , Gabriel Lang

We give a bound to the precision in the estimation of a parameter in terms of the expectation value of an observable. It is an extension of the Cramer-Rao inequality and of the Heisenberg uncertainty relation, where the estimation precision…

量子物理 · 物理学 2012-07-11 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

Constrained connection is the phenomenon that a reviewer can only review a subset of products/services due to narrow range of interests or limited attention capacity. In this work, we study how constrained connections can affect estimation…

社会与信息网络 · 计算机科学 2013-07-16 Junzhou Zhao

We describe a simple method to compute the Cramer-Rao limit of a high energy experiment, i.e., the smallest error with which a parameter can in principle be determined in a reaction. This precision remains a theoretical paradigm since it…

高能物理 - 唯象学 · 物理学 2008-02-03 Frank Cuypers

The goal of this paper is to characterize the best achievable performance for the problem of estimating an unknown parameter having a sparse representation. Specifically, we consider the setting in which a sparsely representable…

统计理论 · 数学 2009-09-29 Zvika Ben-Haim , Yonina C. Eldar