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Binary classification is highly used in credit scoring in the estimation of probability of default. The validation of such predictive models is based both on rank ability, and also on calibration (i.e. how accurately the probabilities…

Econometrics · Economics 2017-10-25 Pedro G. Fonseca , Hugo D. Lopes

The logistic regression model is one of the most powerful statistical methods for the analysis of binary data. The logistic regression allows to use a set of covariates to explain the binary responses. The mixture of logistic regression…

Methodology · Statistics 2023-09-08 Elsayed Ghanem , Armin Hatefi , Hamid Usefi

Logistic regression model is widely used in many studies to investigate the relationship between a binary response variable Y and a set of potential predictors $X_1,\ldots, X_p$ (for example: $Y = 1$ if the outcome occurred and $Y = 0$…

Methodology · Statistics 2025-02-25 Mouhamed Ndoye , Aba Diop

In a sequential regression setting, a decision-maker may be primarily concerned with whether the future observation will increase or decrease compared to the current one, rather than the actual value of the future observation. In this…

Machine Learning · Computer Science 2023-06-09 Youngseog Chung , Aaron Rumack , Chirag Gupta

It is proposed in the literature that in some complicated problems maximum likelihood estimates (MLE) are not suitable or even do not exist. An alternative to MLE for estimation of the parameters is the Bayesian method. The Markov chain…

Applications · Statistics 2019-10-08 Ali Reza Fotouhi

The assessment of binary classifier performance traditionally centers on discriminative ability using metrics, such as accuracy. However, these metrics often disregard the model's inherent uncertainty, especially when dealing with sensitive…

Machine Learning · Computer Science 2024-02-13 Agathe Fernandes Machado , Arthur Charpentier , Emmanuel Flachaire , Ewen Gallic , François Hu

In the last decades, due to the huge technological growth observed, it has become increasingly common that a collection of temporal data rapidly accumulates in vast amounts. This provides an opportunity for extracting valuable information…

Machine Learning · Computer Science 2023-02-22 Felipe Elorrieta , Lucas Osses , Matias Cáceres , Susana Eyheramendy , Wilfredo Palma

Variational logistic regression is a popular method for approximate Bayesian inference seeing wide-spread use in many areas of machine learning including: Bayesian optimization, reinforcement learning and multi-instance learning to name a…

Machine Learning · Statistics 2025-11-14 Michael Komodromos , Marina Evangelou , Sarah Filippi

Existing online multi-label classification works cannot well handle the online label thresholding problem and lack the regret analysis for their online algorithms. This paper proposes a novel framework of adaptive label thresholding…

Machine Learning · Computer Science 2022-11-15 Tingting Zhai , Hongcheng Tang , Hao Wang

We propose the use of Monte Carlo histogram reweighting to extrapolate predictions of machine learning methods. In our approach, we treat the output from a convolutional neural network as an observable in a statistical system, enabling its…

Statistical Mechanics · Physics 2020-11-25 Dimitrios Bachtis , Gert Aarts , Biagio Lucini

Kernel logistic regression (KLR) is a widely used supervised learning method for binary and multi-class classification, which provides estimates of the conditional probabilities of class membership for the data points. Unlike other kernel…

Machine Learning · Computer Science 2025-12-23 Antonio Consolo , Andrea Manno , Edoardo Amaldi

We propose a probabilistic graphical model realizing a minimal encoding of real variables dependencies based on possibly incomplete observation and an empirical cumulative distribution function per variable. The target application is a…

Probability · Mathematics 2015-08-28 Victorin Martin , Jean-Marc Lasgouttes , Cyril Furtlehner

This paper is a broad and accessible survey of the methods we have at our disposal for Monte Carlo gradient estimation in machine learning and across the statistical sciences: the problem of computing the gradient of an expectation of a…

Machine Learning · Statistics 2020-09-30 Shakir Mohamed , Mihaela Rosca , Michael Figurnov , Andriy Mnih

Multi-class classification is one of the most important tasks in machine learning. In this paper we consider two online multi-class classification problems: classification by a linear model and by a kernelized model. The quality of…

Machine Learning · Computer Science 2010-01-07 Fedor Zhdanov , Yuri Kalnishkan

A simple binary model to compute the degree of balancedness in the output sequence of LFSR-combinational generators has been developed. The computational method is based exclusively on the handling of binary strings by means of logic…

Cryptography and Security · Computer Science 2010-05-14 Amparo Fúster-Sabater , Pedro García-Mochales

We present in this paper some worst-case datasets of deterministic first-order methods for solving large-scale binary logistic regression problems. Under the assumption that the number of algorithm iterations is much smaller than the…

Optimization and Control · Mathematics 2019-08-13 Yuyuan Ouyang , Trevor Squires

Large-scale sequential data is often exposed to some degree of inhomogeneity in the form of sudden changes in the parameters of the data-generating process. We consider the problem of detecting such structural changes in a high-dimensional…

Methodology · Statistics 2016-01-15 Florencia Leonardi , Peter Bühlmann

Inspired by logistic regression, we introduce a regression model for data tuples consisting of a binary response and a set of covariates residing in a metric space without vector structures. Based on the proposed model we also develop a…

Methodology · Statistics 2024-02-15 Yinan Lin , Zhenhua Lin

Concerning bivariate least squares linear regression, the classical approach pursued for functional models in earlier attempts is reviewed using a new formalism in terms of deviation (matrix) traces. Within the framework of classical error…

Instrumentation and Methods for Astrophysics · Physics 2011-03-08 R. Caimmi

We develop a Bayesian approach to estimate weight matrices in spatial autoregressive (or spatial lag) models. Datasets in regional economic literature are typically characterized by a limited number of time periods T relative to spatial…

Econometrics · Economics 2022-08-03 Tamás Krisztin , Philipp Piribauer
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