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This paper describes how to convert a machine learning problem into a series of map-reduce tasks. We study logistic regression algorithm. In logistic regression algorithm, it is assumed that samples are independent and each sample is…

分布式、并行与集群计算 · 计算机科学 2015-10-06 Qi Li

Two recent papers on prediction of chaotic systems, one on multi-view embedding1 , and the second on prediction in projection2 provide empirical evidence to support particular prediction methods for chaotic systems. Multi-view embedding1 is…

应用统计 · 统计学 2019-02-14 M. LuValle

Tensor factorizations have become increasingly popular approaches for various learning tasks on structured data. In this work, we extend the RESCAL tensor factorization, which has shown state-of-the-art results for multi-relational…

机器学习 · 统计学 2013-06-11 Maximilian Nickel , Volker Tresp

Motivation: Spontaneous adverse event reports have a high potential for detecting adverse drug reactions. However, due to their dimension, exploring such databases requires statistical methods. In this context, disproportionality measures…

应用统计 · 统计学 2015-06-19 Matthieu Marbac , Pascale Tubert-Bitter , Mohammed Sedki

Logistic regression is commonly used for modeling dichotomous outcomes. In the classical setting, where the number of observations is much larger than the number of parameters, properties of the maximum likelihood estimator in logistic…

机器学习 · 统计学 2019-11-14 Fariborz Salehi , Ehsan Abbasi , Babak Hassibi

Multilabel classification is an important problem in a wide range of domains such as text categorization and music annotation. In this paper, we present a probabilistic model, Multilabel Logistic Regression with Hidden variables (MLRH),…

机器学习 · 计算机科学 2019-12-04 Jaemoon Lee , Hoda Shajari

Predictive models that are developed in a regulated industry or a regulated application, like determination of credit worthiness, must be interpretable and rational (e.g., meaningful improvements in basic credit behavior must result in…

机器学习 · 统计学 2018-06-13 Bob Vanderheyden , Jennifer Priestley

We investigate the utility to computational Bayesian analyses of a particular family of recursive marginal likelihood estimators characterized by the (equivalent) algorithms known as "biased sampling" or "reverse logistic regression" in the…

统计方法学 · 统计学 2014-10-16 Ewan Cameron , Anthony Pettitt

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…

统计方法学 · 统计学 2024-02-15 Yinan Lin , Zhenhua Lin

This paper investigates the problem of simultaneously predicting multiple binary responses by utilizing a shared set of covariates. Our approach incorporates machine learning techniques for binary classification, without making assumptions…

统计方法学 · 统计学 2024-03-07 The Tien Mai

Linearity and dependency analyses are key to several applications in computer science, especially, in resource management and information flow control. What connects these analyses is that both of them need to model at least two different…

编程语言 · 计算机科学 2023-04-07 Pritam Choudhury

Logistic regression is key method for modeling the probability of a binary outcome based on a collection of covariates. However, the classical formulation of logistic regression relies on the independent sampling assumption, which is often…

In many applications, data can be heterogeneous in the sense of spanning latent groups with different underlying distributions. When predictive models are applied to such data the heterogeneity can affect both predictive performance and…

机器学习 · 统计学 2022-05-04 Thomas Lartigue , Sach Mukherjee

Longitudinal studies of a binary outcome are common in the health, social, and behavioral sciences. In general, a feature of random effects logistic regression models for longitudinal binary data is that the marginal functional form, when…

This paper introduces a new data analysis method for big data using a newly defined regression model named multiple model linear regression(MMLR), which separates input datasets into subsets and construct local linear regression models of…

机器学习 · 计算机科学 2023-08-25 Bohan Lyu , Jianzhong Li

Two different approaches to analysis of data from diagnostic biomarker studies are commonly employed. Logistic regression is used to fit models for probability of disease given marker values, while ROC curves and risk distributions are used…

应用统计 · 统计学 2013-12-02 Ying Huang , Margaret S. Pepe , Ziding Feng

Data visualization and dimension reduction for regression between a general metric space-valued response and Euclidean predictors is proposed. Current Fr\'ech\'et dimension reduction methods require that the response metric space be…

统计方法学 · 统计学 2024-05-28 Abdul-Nasah Soale , Yuexiao Dong

Log-linear models are a classical tool for the analysis of contingency tables. In particular, the subclass of graphical log-linear models provides a general framework for modelling conditional independences. However, with the exception of…

统计理论 · 数学 2010-03-04 Mathias Drton , Thomas S. Richardson

Recently, graph (network) data is an emerging research area in artificial intelligence, machine learning and statistics. In this work, we are interested in whether node's labels (people's responses) are affected by their neighbor's features…

统计方法学 · 统计学 2022-10-12 Haixiang Zhang , Yingjun Deng , Alan J. X. Guo , Qing-Hu Hou , Ou Wu

We discuss a class of binary parametric families with conditional probabilities taking the form of generalized linear models and show that this approach allows to model high-dimensional random binary vectors with arbitrary mean and…

统计方法学 · 统计学 2012-04-09 Christian Schäfer