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Nonparametric and machine learning methods are flexible methods for obtaining accurate predictions. Nowadays, data sets with a large number of predictors and complex structures are fairly common. In the presence of item nonresponse,…

Methodology · Statistics 2022-08-23 Mehdi Dagdoug , Camelia Goga , David Haziza

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

Large language models (LLMs) have shown strong results on a range of applications, including regression and scoring tasks. Typically, one obtains outputs from an LLM via autoregressive sampling from the model's output distribution. We show…

Computation and Language · Computer Science 2024-11-04 Michal Lukasik , Harikrishna Narasimhan , Aditya Krishna Menon , Felix Yu , Sanjiv Kumar

Empirical analysis serves as an important complement to theoretical analysis for studying practical Bayesian optimization. Often empirical insights expose strengths and weaknesses inaccessible to theoretical analysis. We define two metrics…

Machine Learning · Computer Science 2016-04-01 Ian Dewancker , Michael McCourt , Scott Clark , Patrick Hayes , Alexandra Johnson , George Ke

One of the main current challenges in itemset mining is to discover a small set of high-quality itemsets. In this paper we propose a new and general approach for measuring the quality of itemsets. The method is solidly founded in Bayesian…

Databases · Computer Science 2019-02-12 Nikolaj Tatti

Bayesian inference provides a flexible way of combining data with prior information. However, quantile regression is not equipped with a parametric likelihood, and therefore, Bayesian inference for quantile regression demands careful…

Statistics Theory · Mathematics 2012-07-24 Yunwen Yang , Xuming He

The selection of the best classification algorithm for a given dataset is a very widespread problem. It is also a complex one, in the sense it requires to make several important methodological choices. Among them, in this work we focus on…

Machine Learning · Computer Science 2012-07-18 Vincent Labatut , Hocine Cherifi

As the amount of economic and other data generated worldwide increases vastly, a challenge for future generations of econometricians will be to master efficient algorithms for inference in empirical models with large information sets. This…

Computation · Statistics 2020-04-27 Dimitris Korobilis , Davide Pettenuzzo

Scaling inference compute in large language models (LLMs) through repeated sampling consistently increases the coverage (fraction of problems solved) as the number of samples increases. We conjecture that this observed improvement is…

Computation and Language · Computer Science 2024-10-22 Gal Yona , Or Honovich , Omer Levy , Roee Aharoni

Instead of testing for unanimous agreement, I propose learning how broad of a consensus favors one distribution over another (of earnings, productivity, asset returns, test scores, etc.). Specifically, given a sample from each of two…

Econometrics · Economics 2024-08-27 David M. Kaplan

The past decades have seen enormous improvements in computational inference based on statistical models, with continual enhancement in a wide range of computational tools, in competition. In Bayesian inference, first and foremost, MCMC…

Computation · Statistics 2015-05-12 Peter J. Green , Krzysztof Łatuszyński , Marcelo Pereyra , Christian P. Robert

To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

Computation · Statistics 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

Classification systems are evaluated in a countless number of papers. However, we find that evaluation practice is often nebulous. Frequently, metrics are selected without arguments, and blurry terminology invites misconceptions. For…

Machine Learning · Computer Science 2024-07-03 Juri Opitz

Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is high. Given a target accuracy, our goal is to minimize…

Statistics Theory · Mathematics 2025-10-28 Mohamed Ndaoud , Peter Radchenko , Bradley Rava

Statistical experiments often seek to identify random variables with the largest population means. This inferential task, known as rank verification, has been well-studied on Gaussian data with equal variances. This work provides the first…

Methodology · Statistics 2025-07-15 Jeremy Goldwasser , Will Fithian , Giles Hooker

A series of monte carlo studies were performed to assess the extent to which different inference procedures robustly output reasonable belief values in the context of increasing levels of judgmental imprecision. It was found that, when…

Artificial Intelligence · Computer Science 2013-04-05 Paul E. Lehner

Bayesian methods have proven themselves to be successful across a wide range of scientific problems and have many well-documented advantages over competing methods. However, these methods run into difficulties for two major and prevalent…

Methodology · Statistics 2022-07-29 John R. Lewis , Steven N. MacEachern , Yoonkyung Lee

Bayesian Neural Networks (BNNs) place priors over the parameters in a neural network. Inference in BNNs, however, is difficult; all inference methods for BNNs are approximate. In this work, we empirically compare the quality of predictive…

Machine Learning · Computer Science 2019-06-25 Jiayu Yao , Weiwei Pan , Soumya Ghosh , Finale Doshi-Velez

Large language models (LLMs) increasingly help people solve problems, from debugging code to repairing machinery. This process requires generating plausible hypotheses from partial descriptions, then updating them as more information…

Machine Learning · Computer Science 2026-05-08 Hua-Dong Xiong

Bayesian models often involve a small set of hyperparameters determined by maximizing the marginal likelihood. Bayesian optimization is a popular iterative method where a Gaussian process posterior of the underlying function is sequentially…

Computation · Statistics 2022-08-18 Oskar Gustafsson , Mattias Villani , Pär Stockhammar