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When probabilistic classifiers are trained and calibrated, the so-called grouping loss component of the calibration loss can easily be overlooked. Grouping loss refers to the gap between observable information and information actually…

Machine Learning · Statistics 2022-04-26 Dirk Tasche

Correction to Annals of Probability 29 (2001) 1612--1624 [doi:10.1214/aop/1015345764].

Probability · Mathematics 2007-05-23 Teddy Seidenfeld , Mark J. Schervish , Joseph B. Kadane

This is the rejoinder to the discussion by Kennedy, Balakrishnan and Wasserman on the paper "On nearly assumption-free tests of nominal confidence interval coverage for causal parameters estimated by machine learning" published in…

Methodology · Statistics 2020-08-10 Lin Liu , Rajarshi Mukherjee , James M. Robins

This text highlights issues present in the proof of Lemma 6.10 of the Baumgartner (1943 -- 2011) article "Almost disjoint sets, the dense set problem and the partition calculus" of 1976, and intends to present a correction at the same time…

Logic · Mathematics 2026-03-26 Júnio Luan Pereira

Invited Discussion of "A Unified Framework for De-Duplication and Population Size Estimation", published in Bayesian Analysis. My discussion focuses on two main themes: Providing a more nuanced picture of the costs and benefits of joint…

Methodology · Statistics 2020-09-02 Jared S. Murray

When data are incomplete, a random vector Y for the data process together with a binary random vector R for the process that causes missing data, are modelled jointly. We review conditions under which R can be ignored for drawing likelihood…

Methodology · Statistics 2019-04-01 John C Galati

We are grateful to all discussants of our re-visitation for their strong support in our enterprise and for their overall agreement with our perspective. Further discussions with them and other leading statisticians showed that the legacy of…

Methodology · Statistics 2010-10-11 Christian P. Robert , Nicolas Chopin , Judith Rousseau

In this paper, a scale mixture of Normal distributions model is developed for classification and clustering of data having outliers and missing values. The classification method, based on a mixture model, focuses on the introduction of…

Machine Learning · Statistics 2017-11-23 G. Revillon , A. Djafari , C. Enderli

In the note an error in Low and Lapsley's article ("Optimization Flow Control, I: Basic Algorithm and Convergence", IEEE/ACM Transactions on Networking, 7(6), pp. 861-874, 1999) is pointed out. Because of this error the proof of the Theorem…

Networking and Internet Architecture · Computer Science 2016-10-11 Andrzej Karbowski

This survey covers state-of-the-art Bayesian techniques for the estimation of mixtures. It complements the earlier Marin, Mengersen and Robert (2005) by studying new types of distributions, the multinomial, latent class and t distributions.…

Computation · Statistics 2008-04-16 Kate Lee , Jean-Michel Marin , Kerrie Mengersen , Christian P. Robert

Rejoinder of "Spatial accessibility of pediatric primary healthcare: Measurement and inference" by Mallory Nobles, Nicoleta Serban and Julie Swann [arXiv:1501.03626].

Applications · Statistics 2015-01-19 Mallory Nobles , Nicoleta Serban , Julie Swann

In multi-center clinical trials, due to various reasons, the individual-level data are strictly restricted to be assessed publicly. Instead, the summarized information is widely available from published results. With the advance of…

Methodology · Statistics 2021-01-05 Jing Qin , Yukun Liu , Pengfei Li

We propose a variational autoencoder architecture to model both ignorable and nonignorable missing data using pattern-set mixtures as proposed by Little (1993). Our model explicitly learns to cluster the missing data into missingness…

Machine Learning · Statistics 2021-03-08 Sahra Ghalebikesabi , Rob Cornish , Luke J. Kelly , Chris Holmes

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables…

Machine Learning · Statistics 2022-11-18 Yunxiao Chen , Xiaoou Li

A thesis on some recursive Bayesian filters for data assimilation

Atmospheric and Oceanic Physics · Physics 2009-12-01 Xiaodong Luo

The concept of refinement from probability elicitation is considered for proper scoring rules. Taking directions from the axioms of probability, refinement is further clarified using a Hilbert space interpretation and reformulated into the…

Machine Learning · Statistics 2013-03-12 Hamed Masnadi-Shirazi

In this paper, we combine calibration for population totals proposed by Deville and S\"arndal (1992) with calibration for population quantiles introduced by Harms and Duchesne (2006). We also extend the pseudo-empirical likelihood method…

Methodology · Statistics 2023-08-28 Maciej Beręsewicz , Marcin Szymkowiak

Classifier calibration does not always go hand in hand with the classifier's ability to separate the classes. There are applications where good classifier calibration, i.e. the ability to produce accurate probability estimates, is more…

Machine Learning · Computer Science 2020-05-26 Tuomo Alasalmi , Jaakko Suutala , Heli Koskimäki , Juha Röning

The author's recent research papers, "Cumulative deviation of a subpopulation from the full population" and "A graphical method of cumulative differences between two subpopulations" (both published in volume 8 of Springer's open-access…

Methodology · Statistics 2024-04-09 Mark Tygert

This is a typeset version of Alan Turing's declassified Second World War paper \textit{Paper on Statistics of Repetitions}. See the companion paper, \textit{The Applications of Probability to Cryptography}, also available from arXiv at…

History and Overview · Mathematics 2015-05-27 Ian Taylor
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