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We consider the problem of allocating samples to a finite set of discrete distributions in order to learn them uniformly well in terms of four common distance measures: $\ell_2^2$, $\ell_1$, $f$-divergence, and separation distance. To…

机器学习 · 统计学 2019-12-10 Shubhanshu Shekhar , Tara Javidi , Mohammad Ghavamzadeh

Modern image classifiers are very accurate, but the predictions come without uncertainty estimates. Conformal predictors provide uncertainty estimates by computing a set of classes containing the correct class with a user-specified…

机器学习 · 计算机科学 2023-06-06 Fatih Furkan Yilmaz , Reinhard Heckel

Although atomistic simulations of proteins and other biological systems are approaching microsecond timescales, the quality of trajectories has remained difficult to assess. Such assessment is critical not only for establishing the…

定量方法 · 定量生物学 2007-05-23 Edward Lyman , Daniel M. Zuckerman

We present a Bayesian mixture model for estimating the joint distribution of mixed ordinal, nominal, and continuous data conditional on a set of fixed variables. The model uses multivariate normal and categorical mixture kernels for the…

统计方法学 · 统计学 2016-07-14 Maria DeYoreo , Jerome P. Reiter

In systems biomedicine, an experimenter encounters different potential sources of variation in data such as individual samples, multiple experimental conditions, and multi-variable network-level responses. In multiparametric cytometry,…

Let $N_n=\{1,2,...,n\}$. Elements are drawn from the set $N_n$ with replacement, assuming that each element has probability $1/n$ of being drawn. We determine the limiting distributions for the waiting time until the given portion of pairs…

统计理论 · 数学 2008-12-18 Pavle Mladenović

This paper presents a conformal prediction method for classification in highly imbalanced and open-set settings, where there are many possible classes and not all may be represented in the data. Existing approaches require a finite, known…

机器学习 · 统计学 2025-10-16 Tianmin Xie , Yanfei Zhou , Ziyi Liang , Stefano Favaro , Matteo Sesia

The objective of goodness-of-fit testing is to assess whether a dataset of observations is likely to have been drawn from a candidate probability distribution. This paper presents a rank-based family of goodness-of-fit tests that is…

In this paper, a cooperative diffusion-based molecular communication system is considered where distributed receivers collaboratively determine a transmitter's signal. In this system, the receivers first make local hard decisions about the…

信息论 · 计算机科学 2017-03-20 Yuting Fang , Adam Noel , Nan Yang , Andrew W. Eckford , Rodney A. Kennedy

In the study of natural and artificial complex systems, responses that are not completely determined by the considered decision variables are commonly modelled probabilistically, resulting in response distributions varying across decision…

统计方法学 · 统计学 2021-10-07 Athénaïs Gautier , David Ginsbourger , Guillaume Pirot

The analysis of correlations of amino acid occurrences in globular proteins has led to the development of statistical tools that can identify native contacts -- portions of the chains that come to close distance in folded structural…

生物大分子 · 定量生物学 2014-07-28 Rocío Espada , R. Gonzalo Parra , Thierry Mora , Aleksandra M. Walczak , Diego Ferreiro

Increasing evidence suggests that variability in longitudinal biomarkers, in addition to their mean trajectory, carries prognostic information for time-to-event outcomes. However, standard joint models typically capture only the expected…

统计方法学 · 统计学 2026-05-08 Felix Boakye Oppong , Dimitris Rizopoulos , Thierry Gorlia , Nicole Erler

The problem of joint estimation of multiple graphical models from high dimensional data has been studied in the statistics and machine learning literature, due to its importance in diverse fields including molecular biology, neuroscience…

统计方法学 · 统计学 2019-07-04 Peyman Jalali , Kshitij Khare , George Michailidis

This review article discusses some common enhanced sampling methods in relation to the process of self-assembly of biomolecules. An introduction to self-assembly and its challenges is covered followed by a brief overview of the methods and…

软凝聚态物质 · 物理学 2025-03-03 Mason Hooten , Het Patel , Yiwei Shao , Rishabh Kumar Singh , Meenakshi Dutt

How can we draw trustworthy scientific conclusions? One criterion is that a study can be replicated by independent teams. While replication is critically important, it is arguably insufficient. If a study is biased for some reason and other…

统计方法学 · 统计学 2025-02-06 Yujin Jeong , Dominik Rothenhäusler

Given samples from a distribution, how many new elements should we expect to find if we continue sampling this distribution? This is an important and actively studied problem, with many applications ranging from unseen species estimation to…

机器学习 · 计算机科学 2017-07-14 Aditi Raghunathan , Greg Valiant , James Zou

We propose a new method for estimating the extreme quantiles for a function of several dependent random variables. In contrast to the conventional approach based on extreme value theory, we do not impose the condition that the tail of the…

统计方法学 · 统计学 2013-11-25 Jinguo Gong , Yadong Li , Liang Peng , Qiwei Yao

Consideration is given to the methods of gaining experimental data on the substances which constitute a part of multicomponent samples to be measured. The methods are applicable to the samples comprising an arbitrary number of components;…

数据分析、统计与概率 · 物理学 2011-12-20 A. Yu. Buki

One of the well-known challenges in optimal experimental design is how to efficiently estimate the nested integrations of the expected information gain. The Gaussian approximation and associated importance sampling have been shown to be…

统计计算 · 统计学 2021-08-17 Quan Long

Conformal testing is a way of testing the IID assumption based on conformal prediction. The topic of this note is computational evaluation of the performance of conformal testing in a model situation in which IID binary observations…

机器学习 · 计算机科学 2021-04-06 Vladimir Vovk