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An index of an effective number of variables (ENV) is introduced for model selection in nested models. This is the case, for instance, when we have to decide the order of a polynomial function or the number of bases in a nonlinear…

Methodology · Statistics 2026-02-26 Luca Martino , Eduardo Morgado , Roberto San Millán-Castillo

Simulation-Based Inference (SBI) offers a principled and flexible framework for conducting Bayesian inference in any situation where forward simulations are feasible. However, validating the accuracy and reliability of the inferred…

Instrumentation and Methods for Astrophysics · Physics 2026-01-21 James Alvey , Carlo R. Contaldi , Mauro Pieroni

To make informed decisions in natural environments that change over time, humans must update their beliefs as new observations are gathered. Studies exploring human inference as a dynamical process that unfolds in time have focused on…

Neurons and Cognition · Quantitative Biology 2022-03-03 Arthur Prat-Carrabin , Robert C. Wilson , Jonathan D. Cohen , Rava Azeredo da Silveira

We present a flexible framework for learning predictive models that approximately satisfy the equalized odds notion of fairness. This is achieved by introducing a general discrepancy functional that rigorously quantifies violations of this…

Machine Learning · Statistics 2020-06-09 Yaniv Romano , Stephen Bates , Emmanuel J. Candès

Survey respondents may give untruthful answers to sensitive questions when asked directly. In recent years, researchers have turned to the list experiment (also known as the item count technique) to overcome this difficulty. While list…

Applications · Statistics 2014-06-03 Peter M. Aronow , Alexander Coppock , Forrest W. Crawford , Donald P. Green

We present the Perceptimatic English Benchmark, an open experimental benchmark for evaluating quantitative models of speech perception in English. The benchmark consists of ABX stimuli along with the responses of 91 American…

Computation and Language · Computer Science 2020-05-08 Juliette Millet , Ewan Dunbar

Evidential Deep Learning (EDL) is a popular framework for uncertainty-aware classification that models predictive uncertainty via Dirichlet distributions parameterized by neural networks. Despite its popularity, its theoretical foundations…

Machine Learning · Statistics 2026-02-03 Pietro Carlotti , Nevena Gligić , Arya Farahi

In observational studies of discrimination, the most common statistical approaches consider either the rate at which decisions are made (benchmark tests) or the success rate of those decisions (outcome tests). Both tests, however, have…

Applications · Statistics 2025-03-07 Johann D. Gaebler , Sharad Goel

Spontaneous speech emotion data usually contain perceptual grades where graders assign emotion score after listening to the speech files. Such perceptual grades introduce uncertainty in labels due to grader opinion variation. Grader…

Sound · Computer Science 2025-04-01 Vikramjit Mitra , Amrit Romana , Dung T. Tran , Erdrin Azemi

Adversarial detection aims to determine whether a given sample is an adversarial one based on the discrepancy between natural and adversarial distributions. Unfortunately, estimating or comparing two data distributions is extremely…

Machine Learning · Computer Science 2023-05-26 Shuhai Zhang , Feng Liu , Jiahao Yang , Yifan Yang , Changsheng Li , Bo Han , Mingkui Tan

The efficient modeling for disorder in a phenomena depends on the chosen score and objective functions. The main parameters in modeling are location, scale and shape. The exponential power distribution known as generalized Gaussian is…

Statistics Theory · Mathematics 2021-02-08 Mehmet Niyazi Çankaya

Selective inference (post-selection inference) is a methodology that has attracted much attention in recent years in the fields of statistics and machine learning. Naive inference based on data that are also used for model selection tends…

Methodology · Statistics 2021-11-25 Yoshiyuki Ninomiya , Yuta Umezu , Ichiro Takeuchi

Empirical design in reinforcement learning is no small task. Running good experiments requires attention to detail and at times significant computational resources. While compute resources available per dollar have continued to grow…

Machine Learning · Computer Science 2024-10-30 Andrew Patterson , Samuel Neumann , Martha White , Adam White

As deep learning has achieved state-of-the-art performance for many tasks of EEG-based BCI, many efforts have been made in recent years trying to understand what have been learned by the models. This is commonly done by generating a heatmap…

Neural and Evolutionary Computing · Computer Science 2023-08-21 Jian Cui , Liqiang Yuan , Zhaoxiang Wang , Ruilin Li , Tianzi Jiang

Neural population responses in sensory systems are driven by external physical stimuli. This stimulus-response relationship is typically characterized by receptive fields, which have been estimated by neural system identification…

Neurons and Cognition · Quantitative Biology 2024-02-08 Nan Wu , Isabel Valera , Fabian Sinz , Alexander Ecker , Thomas Euler , Yongrong Qiu

Mechanistic mathematical models of biological systems usually contain a number of unknown parameters whose values need to be estimated from available experimental data in order for the models to be validated and used to make quantitative…

Quantitative Methods · Quantitative Biology 2025-06-16 Yue Liu , Philip K. Maini , Ruth E. Baker

Evaluation of treatment effects and more general estimands is typically achieved via parametric modelling, which is unsatisfactory since model misspecification is likely. Data-adaptive model building (e.g. statistical/machine learning) is…

Statistics Theory · Mathematics 2022-01-14 Oliver Hines , Oliver Dukes , Karla Diaz-Ordaz , Stijn Vansteelandt

We consider the problem of efficient inference of the Average Treatment Effect in a sequential experiment where the policy governing the assignment of subjects to treatment or control can change over time. We first provide a central limit…

Machine Learning · Statistics 2024-03-05 Thomas Cook , Alan Mishler , Aaditya Ramdas

Linear mixed-effects models are widely used in analyzing repeated measures data, including clustered and longitudinal data, where inferences of both fixed effects and variance components are of importance. Unlike the fixed effect inference…

Methodology · Statistics 2022-08-31 J. Zhang , W. Guo , J. S. Carpenter , Andrew Leroux , K. R. Merikangas , N. G. Martin , I. B. Hickie , H. Shou , H. Li

We consider active learning under incentive compatibility constraints. The main application of our results is to economic experiments, in which a learner seeks to infer the parameters of a subject's preferences: for example their attitudes…

Computer Science and Game Theory · Computer Science 2019-11-15 Federico Echenique , Siddharth Prasad
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