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A recent literature in econometrics models unobserved cross-sectional heterogeneity in panel data by assigning each cross-sectional unit a one-dimensional, discrete latent type. Such models have been shown to allow estimation and inference…

Econometrics · Economics 2020-01-31 Max Cytrynbaum

For two causal structures with the same set of visible variables, one is said to observationally dominate the other if the set of distributions over the visible variables realizable by the first contains the set of distributions over the…

Machine Learning · Statistics 2025-02-24 Marina Maciel Ansanelli , Elie Wolfe , Robert W. Spekkens

Factor models are a very efficient way to describe high dimensional vectors of data in terms of a small number of common relevant factors. This problem, which is of fundamental importance in many disciplines, is usually reformulated in…

Optimization and Control · Mathematics 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

Model selection consistency in the high-dimensional regression setting can be achieved only if strong assumptions are fulfilled. We therefore suggest to pursue a different goal, which we call a minimal class of models. The minimal class of…

Methodology · Statistics 2015-11-26 Daniel Nevo , Ya'acov Ritov

The aim of ordinal classification is to predict the ordered labels of the output from a set of observed inputs. Interval-valued data refers to data in the form of intervals. For the first time, interval-valued data and interval-valued…

Methodology · Statistics 2023-11-06 Aleix Alcacer , Marina Martínez-Garcia , Irene Epifanio

Monte Carlo methods to evaluate and maximize the likelihood function enable the construction of confidence intervals and hypothesis tests, facilitating scientific investigation using models for which the likelihood function is intractable.…

Methodology · Statistics 2017-02-13 Edward L. Ionides , Carles Breto , Joonha Park , Richard A. Smith , Aaron A. King

In many countries information on expectations collected through consumer confidence surveys are used in macroeconomic policy formulation. Unfortunately, before doing so, the consistency of responses is often not taken into account, leading…

General Finance · Quantitative Finance 2015-09-04 Sunil Kumar , Zakir Husain , Diganta Mukherjee

Standard linear modeling approaches make potentially simplistic assumptions regarding the structure of categorical effects that may obfuscate more complex relationships governing data. For example, recent work focused on the two-way…

Methodology · Statistics 2019-03-05 Thomas A. Metzger , Christopher T. Franck

Large-scale assessment data typically include numerous categorical variables, often affected by missing values. Motivated by the challenges arising in this framework, we extend the knockoffs method for selecting predictors to settings with…

Methodology · Statistics 2026-05-13 Silvia Bacci , Emanuela Dreassi , Leonardo Grilli , Carla Rampichini

Gathering training data is a key step of any supervised learning task, and it is both critical and expensive. Critical, because the quantity and quality of the training data has a high impact on the performance of the learned function.…

Data Structures and Algorithms · Computer Science 2021-10-28 Quentin Lutz , Élie de Panafieu , Alex Scott , Maya Stein

This manuscript studies statistical properties of linear classifiers obtained through minimization of an unregularized convex risk over a finite sample. Although the results are explicitly finite-dimensional, inputs may be passed through…

Machine Learning · Computer Science 2012-06-15 Matus Telgarsky

Deep learning based models have excelled in many computer vision tasks and appear to surpass humans' performance. However, these models require an avalanche of expensive human labeled training data and many iterations to train their large…

Computer Vision and Pattern Recognition · Computer Science 2021-05-12 Yikai Wang , Li Zhang , Yuan Yao , Yanwei Fu

In responding to rating questions, an individual may give answers either according to his/her knowledge/awareness or to his/her level of indecision/uncertainty, typically driven by a response style. As ignoring this dual behaviour may lead…

Methodology · Statistics 2021-04-08 Roberto Colombi , Sabrina Giordano , Anna Gottard , Maria Iannario

Log-linear models are typically fitted to contingency table data to describe and identify the relationship between different categorical variables. However, the data may include observed zero cell entries. The presence of zero cell entries…

Methodology · Statistics 2022-12-01 Serveh Sharifi Far , Michail Papathomas , Ruth King

Abstaining classifiers have the option to abstain from making predictions on inputs that they are unsure about. These classifiers are becoming increasingly popular in high-stakes decision-making problems, as they can withhold uncertain…

Machine Learning · Statistics 2023-11-10 Yo Joong Choe , Aditya Gangrade , Aaditya Ramdas

An extension of the latent class model is presented for clustering categorical data by relaxing the classical "class conditional independence assumption" of variables. This model consists in grouping the variables into inter-independent and…

Computation · Statistics 2015-10-01 Matthieu Marbac , Christophe Biernacki , Vincent Vandewalle

Ranked decision systems -- recommenders, ad auctions, clinical triage queues -- must decide when to intervene in ranked outputs and when to abstain. We study when confidence-based abstention monotonically improves decision quality, and when…

Artificial Intelligence · Computer Science 2026-03-11 Ronald Doku

The rise of Large Language Models (LLMs) has boosted the use of Few-Shot Learning (FSL) methods in natural language processing, achieving acceptable performance even when working with limited training data. The goal of FSL is to effectively…

Advanced classification algorithms are being increasingly used in safety-critical applications like health-care, engineering, etc. In such applications, miss-classifications made by ML algorithms can result in substantial financial or…

Machine Learning · Computer Science 2024-12-06 Disha Ghandwani , Neeraj Sarna , Yuanyuan Li , Yang Lin

Empirical research in many social disciplines involves constructs that are not directly observable, such as behaviors. To model them, constructs must be operationalized using their relations with indicators. Structural equation modeling…

Methodology · Statistics 2025-07-30 Jonas Bauer , Axel Mayer , Christiane Fuchs , Tamara Schamberger
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