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For an AI system to be reliable, the confidence it expresses in its decisions must match its accuracy. To assess the degree of match, examples are typically binned by confidence and the per-bin mean confidence and accuracy are compared.…

机器学习 · 计算机科学 2022-02-14 Rebecca Roelofs , Nicholas Cain , Jonathon Shlens , Michael C. Mozer

The average household income is one of the most important indexes for decision making and the modelling of economic inequity and poverty. In this work we propose a practical procedure to estimate the average income using small area methods.…

应用统计 · 统计学 2019-07-12 Julieth Castañeda , Cristian Tellez , Jairo Fuquene

Generalized Linear Models are routinely used in data analysis. The classical procedures for estimation are based on Maximum Likelihood and it is well known that the presence of outliers can have a large impact on this estimator. Robust…

统计计算 · 统计学 2017-10-02 Marina Valdora , Claudio Agostinelli , Victor J. Yohai

This paper introduces a robust estimation framework based solely on the copula function. We begin by introducing a family of divergence measures tailored for copulas, including the \(\alpha\)-, \(\beta\)-, and \(\gamma\)-copula divergences,…

统计方法学 · 统计学 2025-09-18 Shinto Eguchi , Shogo Kato

Modern computational advances have enabled easy parallel implementations of Markov chain Monte Carlo (MCMC). However, almost all work in estimating the variance of Monte Carlo averages, including the efficient batch means (BM) estimator,…

统计方法学 · 统计学 2024-07-23 Kushagra Gupta , Dootika Vats

Generalized linear models are flexible tools for the analysis of diverse datasets, but the classical formulation requires that the parametric component is correctly specified and the data contain no atypical observations. To address these…

统计方法学 · 统计学 2023-04-21 Ioannis Kalogridis , Gerda Claeskens , Stefan Van Aelst

This paper will focus on three different aspects in improving the current practice of stable random projections. Firstly, we propose {\em very sparse stable random projections} to significantly reduce the processing and storage cost, by…

数据结构与算法 · 计算机科学 2007-07-13 Ping Li

To improve accuracy and speed of regressions and classifications, we present a data-based prediction method, Random Bits Regression (RBR). This method first generates a large number of random binary intermediate/derived features based on…

机器学习 · 统计学 2016-11-04 Yi Wang , Yi Li , Momiao Xiong , Li Jin

Given only positive examples and unlabeled examples (from both positive and negative classes), we might hope nevertheless to estimate an accurate positive-versus-negative classifier. Formally, this task is broken down into two subtasks: (i)…

机器学习 · 计算机科学 2021-11-02 Saurabh Garg , Yifan Wu , Alex Smola , Sivaraman Balakrishnan , Zachary C. Lipton

The `beta' is one of the key quantities in the capital asset pricing model (CAPM). In statistical language, the beta can be viewed as the slope of the regression line fitted to financial returns on the market against the returns on the…

统计理论 · 数学 2017-09-12 Nadezhda Gribkova , Ričardas Zitikis

In this paper we derive inferential results for a new index of inequality, specifically defined for capturing significant changes observed both in the left and in the right tail of the income distributions. The latter shifts are an apparent…

统计理论 · 数学 2017-06-20 Youri Davydov , Francesca Greselin

Binned scatter plots are a powerful statistical tool for empirical work in the social, behavioral, and biomedical sciences. Available methods rely on a quantile-based partitioning estimator of the conditional mean regression function to…

统计方法学 · 统计学 2024-07-23 Matias D. Cattaneo , Richard K. Crump , Max H. Farrell , Yingjie Feng

This paper studies a class of rank-based inequality measures built from linear combinations of expected order statistics. The proposed framework unifies several well-known indices, including the classical Gini coefficient, the $m$th Gini…

统计理论 · 数学 2026-05-05 Roberto Vila , Helton Saulo

Threshold autoregressive moving-average (TARMA) models are popular in time series analysis due to their ability to parsimoniously describe several complex dynamical features. However, neither theory nor estimation methods are currently…

统计方法学 · 统计学 2022-11-16 Greta Goracci , Davide Ferrari , Simone Giannerini , Francesco ravazzolo

Poverty maps are essential tools for governments and NGOs to track socioeconomic changes and adequately allocate infrastructure and services in places in need. Sensor and online crowd-sourced data combined with machine learning methods have…

机器学习 · 计算机科学 2023-04-07 Lisette Espín-Noboa , János Kertész , Márton Karsai

Marginal maximum likelihood estimation (MMLE) in item response theory (IRT) is highly sensitive to aberrant responses, such as careless answering and random guessing, which can reduce estimation accuracy. To address this issue, this study…

统计方法学 · 统计学 2025-02-18 Yuki Itaya , Kenichi Hayashi

We consider the problem of robust state estimation in the presence of integrity attacks. There are $m$ sensors monitoring a dynamical process. Subject to the integrity attacks, $p$ out of $m$ measurements can be arbitrarily manipulated. The…

信息论 · 计算机科学 2016-01-19 Duo Han , Yilin Mo , Lihua Xie

For many inference problems in statistics and econometrics, the unknown parameter is identified by a set of moment conditions. A generic method of solving moment conditions is the Generalized Method of Moments (GMM). However, classical GMM…

机器学习 · 统计学 2021-10-18 Dhruv Rohatgi , Vasilis Syrgkanis

ReRecent studies in machine learning are based on models in which parameters or state variables are bounded restricted. These restrictions are from prior information to ensure the validity of scientific theories or structural consistency…

统计方法学 · 统计学 2024-01-26 Solmaz Seifollahi , Hossein Bevrani , Kristofer Mansson

Random samples are extensively used to summarize massive data sets and facilitate scalable analytics. Coordinated sampling, where samples of different data sets "share" the randomization, is a powerful method which facilitates more accurate…

数据库 · 计算机科学 2014-06-26 Edith Cohen