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The information criterion for determining the number of explanatory variables in a subset regression modeling is discussed. Information criterion such as AIC is effective and frequently used in model selection for ordinary regression models…

Methodology · Statistics 2023-09-18 Genshiro Kitagawa

It is of critical importance to be aware of the historical discrimination embedded in the data and to consider a fairness measure to reduce bias throughout the predictive modeling pipeline. Given various notions of fairness defined in the…

Machine Learning · Computer Science 2023-01-02 Hadis Anahideh , Nazanin Nezami , Abolfazl Asudeh

In an age of increasingly large data sets, investigators in many different disciplines have turned to clustering as a tool for data analysis and exploration. Existing clustering methods, however, typically depend on several nontrivial…

Quantitative Methods · Quantitative Biology 2009-11-11 Noam Slonim , Gurinder Singh Atwal , Gasper Tkacik , William Bialek

We propose testing procedures for the hypothesis that a given set of discrete observations may be formulated as a particular time series of counts with a specific conditional law. The new test statistics incorporate the empirical…

Statistics Theory · Mathematics 2014-10-24 Šárka Hudecová , Marie Hušková , Simos G. Meintanis

Decision making or scientific discovery pipelines such as job hiring and drug discovery often involve multiple stages: before any resource-intensive step, there is often an initial screening that uses predictions from a machine learning…

Methodology · Statistics 2023-05-30 Ying Jin , Emmanuel J. Candès

When building statistical models for Bayesian data analysis tasks, required and optional iterative adjustments and different modelling choices can give rise to numerous candidate models. In particular, checks and evaluations throughout the…

Methodology · Statistics 2024-04-03 Anna Elisabeth Riha , Nikolas Siccha , Antti Oulasvirta , Aki Vehtari

Score-based statistical models play an important role in modern machine learning, statistics, and signal processing. For hypothesis testing, a score-based hypothesis test is proposed in \cite{wu2022score}. We analyze the performance of this…

Signal Processing · Electrical Eng. & Systems 2024-02-06 Enmao Diao , Taposh Banerjee , Vahid Tarokh

Statistical modeling plays a fundamental role in understanding the underlying mechanism of massive data (statistical inference) and predicting the future (statistical prediction). Although all models are wrong, researchers try their best to…

Methodology · Statistics 2020-06-17 Hangjin Jiang

Many Artificial Intelligence systems depend on the agent's updating its beliefs about the world on the basis of experience. Experiments constitute one type of experience, so scientific methodology offers a natural environment for examining…

Artificial Intelligence · Computer Science 2013-04-08 Harold P. Lehmann

Model selection is a central task in statistics, but standard methods are not robust in misspecified settings where the true data-generating process (DGP) is not in the set of candidate models. The key limitation is that existing methods --…

Methodology · Statistics 2026-03-10 Jongwoo Choi , Neil A. Spencer , Jeffrey W. Miller

We consider the problem of sequentially testing for changes in the mean parameter of a time series, compared to a benchmark period. Most tests in the literature focus on the null hypothesis of a constant mean versus the alternative of a…

Methodology · Statistics 2025-09-23 Patrick Bastian , Tim Kutta , Rupsa Basu , Holger Dette

Algorithmic decision systems are increasingly used in areas such as hiring, school admission, or loan approval. Typically, these systems rely on labeled data for training a classification model. However, in many scenarios, ground-truth…

Machine Learning · Computer Science 2021-07-19 Jakob Schoeffer , Niklas Kuehl , Isabel Valera

Over the years, numerous rank estimators for factor models have been proposed in the literature. This article focuses on information criterion-based rank estimators and investigates their consistency in rank selection. The gap conditions…

Statistics Theory · Mathematics 2024-07-30 Toshinari Morimoto , Hung Hung , Su-Yun Huang

A physical data (such as astrophysical, geophysical, meteorological etc.) may appear as an output of an experiment or it may come out as a signal from a dynamical system or it may contain some sociological, economic or biological…

Astrophysics · Physics 2007-05-23 Koushik Ghosh , Probhas Raychaudhuri

Deep learning time-series models are often used to make forecasts that inform downstream decisions. Since these decisions can differ from those in the training set, there is an implicit requirement that time-series models will generalize…

Machine Learning · Computer Science 2024-11-04 Thomas Crasson , Yacine Nabet , Mathias Lécuyer

For biological experiments aiming at calibrating models with unknown parameters, a good experimental design is crucial, especially for those subject to various constraints, such as financial limitations, time consumption and physical…

Applications · Statistics 2014-07-22 Xiao Lin , Gabriel Terejanu

We study prediction of future outcomes with supervised models that use privileged information during learning. The privileged information comprises samples of time series observed between the baseline time of prediction and the future…

Model selection is a critical step in time series forecasting, traditionally requiring extensive performance evaluations across various datasets. Meta-learning approaches aim to automate this process, but they typically depend on…

Machine Learning · Computer Science 2025-04-04 Wang Wei , Tiankai Yang , Hongjie Chen , Ryan A. Rossi , Yue Zhao , Franck Dernoncourt , Hoda Eldardiry

Model selection and assessment with incomplete data pose challenges in addition to the ones encountered with complete data. There are two main reasons for this. First, many models describe characteristics of the complete data, in spite of…

Methodology · Statistics 2008-08-28 Geert Verbeke , Geert Molenberghs , Caroline Beunckens

Monte Carlo simulations are based on the manipulation of random numbers to evaluate probable outcomes, with applicability in a variety of different fields. By assigning probabilities, which can be determined a priori, to various events, it…

Physics Education · Physics 2022-01-03 Parasuraman Swaminathan
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