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The EM algorithm is a method for finding the maximum likelihood estimate of a model in the presence of missing data. Unfortunately, EM does not produce a parameter covariance matrix for standard errors. Supplemented EM (SEM; Meng & Rubin,…

统计计算 · 统计学 2016-05-04 Joshua N. Pritikin

A common strategy to train deep neural networks (DNNs) is to use very large architectures and to train them until they (almost) achieve zero training error. Empirically observed good generalization performance on test data, even in the…

机器学习 · 统计学 2021-07-26 Nicole Mücke , Ingo Steinwart

Expectation Maximization (EM) is among the most popular algorithms for maximum likelihood estimation, but it is generally only guaranteed to find its stationary points of the log-likelihood objective. The goal of this article is to present…

机器学习 · 计算机科学 2018-10-29 Ji Xu , Daniel Hsu , Arian Maleki

Much of the theory of estimation for exponential family models, which include exponential-family random graph models (ERGMs) as a special case, is well-established and maximum likelihood estimates in particular enjoy many desirable…

统计计算 · 统计学 2020-09-07 Christian S. Schmid , David R. Hunter

In the on-line Explore and Exploit literature, central to Machine Learning, a central planner is faced with a set of alternatives, each yielding some unknown reward. The planner's goal is to learn the optimal alternative as soon as…

计算机科学与博弈论 · 计算机科学 2015-07-31 Gal Bahar , Rann Smorodinsky , Moshe Tennenholtz

Error mitigation techniques, while instrumental in extending the capabilities of near-term quantum computers, often suffer from exponential resource scaling with noise levels. To address this limitation, we introduce a novel approach,…

量子物理 · 物理学 2024-09-11 Gaurav Saxena , Thi Ha Kyaw

We consider the problem of a single seller repeatedly selling a single item to a single buyer (specifically, the buyer has a value drawn fresh from known distribution $D$ in every round). Prior work assumes that the buyer is fully rational…

计算机科学与博弈论 · 计算机科学 2017-11-28 Mark Braverman , Jieming Mao , Jon Schneider , S. Matthew Weinberg

Constrained decision-making is essential for designing safe policies in real-world control systems, yet simulated environments often fail to capture real-world adversities. We consider the problem of learning a policy that will maximize the…

机器学习 · 计算机科学 2026-02-10 Sourav Ganguly , Kishan Panaganti , Arnob Ghosh , Adam Wierman

The response envelope model provides substantial efficiency gains over the standard multivariate linear regression by identifying the material part of the response to the model and by excluding the immaterial part. In this paper, we propose…

统计方法学 · 统计学 2024-07-02 Oh-Ran Kwon , Hui Zou

We consider truthful combinatorial auctions with items $M = [m]$ for sale to $n$ bidders, where each bidder $i$ has a private monotone valuation $v_i : 2^M \to R_+$. Among truthful mechanisms, maximal-in-range (MIR) mechanisms achieve the…

计算机科学与博弈论 · 计算机科学 2024-04-02 Frederick V. Qiu , S. Matthew Weinberg

Mixed-integer linear programming (MILP) is at the core of many advanced algorithms for solving fundamental problems in combinatorial optimization. The complexity of solving MILPs directly correlates with their support size, which is the…

数据结构与算法 · 计算机科学 2023-05-16 Sebastian Berndt , Hauke Brinkop , Klaus Jansen , Matthias Mnich , Tobias Stamm

Research in NLP is often supported by experimental results, and improved reporting of such results can lead to better understanding and more reproducible science. In this paper we analyze three statistical estimators for expected validation…

计算与语言 · 计算机科学 2021-10-05 Jesse Dodge , Suchin Gururangan , Dallas Card , Roy Schwartz , Noah A. Smith

We consider the problem of repeatedly auctioning a single item to multiple i.i.d buyers who each use a no-regret learning algorithm to bid over time. In particular, we study the seller's optimal revenue, if they know that the buyers are…

计算机科学与博弈论 · 计算机科学 2023-07-11 Linda Cai , S. Matthew Weinberg , Evan Wildenhain , Shirley Zhang

A weighted likelihood technique for robust estimation of a multivariate Wrapped Normal distribution for data points scattered on a p-dimensional torus is proposed. The occurrence of outliers in the sample at hand can badly compromise…

统计方法学 · 统计学 2021-07-01 Giovanni Saraceno , Claudio Agostinelli , Luca Greco

A recent line of research has established a novel desideratum for designing approximately-revenue-optimal multi-item mechanisms, namely the buy-many constraint. Under this constraint, prices for different allocations made by the mechanism…

计算机科学与博弈论 · 计算机科学 2024-05-17 Shuchi Chawla , Rojin Rezvan , Yifeng Teng , Christos Tzamos

We consider the design of a revenue-optimal mechanism when two items are available to be sold to a single buyer whose valuation is uniformly distributed over an arbitrary rectangle $[c_1,c_1+b_1]\times[c_2,c_2+b_2]$ in the positive…

计算机科学与博弈论 · 计算机科学 2019-03-06 D. Thirumulanathan , Rajesh Sundaresan , Y Narahari

This paper studies mechanism design for revenue maximization in a distribution-reporting setting, where the auctioneer does not know the buyers' true value distributions. Instead, each buyer reports and commits to a bid distribution in the…

计算机科学与博弈论 · 计算机科学 2025-07-08 Xiaotie Deng , Yanru Guan , Ningyuan Li , Zihe Wang , Jie Zhang

We consider revenue-optimal mechanism design in the interdimensional setting, where one dimension is the 'value' of the buyer, and one is a 'type' that captures some auxiliary information. One setting is the FedEx Problem, for which FGKK…

计算机科学与博弈论 · 计算机科学 2020-02-18 Nikhil Devanur , Kira Goldner , Raghuvansh Saxena , Ariel Schvartzman , S. Matthew Weinberg

This paper studies empirical risk minimization (ERM) problems for large-scale datasets and incorporates the idea of adaptive sample size methods to improve the guaranteed convergence bounds for first-order stochastic and deterministic…

机器学习 · 计算机科学 2017-09-05 Aryan Mokhtari , Alejandro Ribeiro

Estimators derived from a divergence criterion such as $\varphi-$divergences are generally more robust than the maximum likelihood ones. We are interested in particular in the so-called MD$\varphi$DE, an estimator built using a dual…

统计计算 · 统计学 2016-06-14 Diaa Al Mohamad , Michel Broniatowski
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