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Estimating the expectation of a real-valued function of a random variable from sample data is a critical aspect of statistical analysis, with far-reaching implications in various applications. Current methodologies typically assume…

Machine Learning · Computer Science 2026-02-18 Paweł Lorek , Rafał Nowak , Rafał Topolnicki , Tomasz Trzciński , Maciej Zięba , Aleksandra Krystecka

Reputations provide a powerful mechanism to sustain cooperation, as individuals cooperate with those of good social standing. But how should moral reputations be updated as we observe social behavior, and when will a population converge on…

Populations and Evolution · Quantitative Biology 2022-10-26 Taylor A. Kessinger , Corina E. Tarnita , Joshua B. Plotkin

This paper provides a simple theoretical framework to evaluate the effect of key parameters of ranking algorithms, namely popularity and personalization parameters, on measures of platform engagement, misinformation and polarization. The…

Social and Information Networks · Computer Science 2022-10-06 Fabrizio Germano , Vicenç Gómez , Francesco Sobbrio

Subsampling is a computationally efficient and scalable method to draw inference in large data settings based on a subset of the data rather than needing to consider the whole dataset. When employing subsampling techniques, a crucial…

Methodology · Statistics 2025-10-08 Amalan Mahendran , Helen Thompson , James M. McGree

This is a brief "proof of concept" article that shows nonlocal diffusion is well suited to the study of pattern formation and the particular application of public sentiment. We use a nonlocal reaction-diffusion equation to model the…

Analysis of PDEs · Mathematics 2022-10-28 Joseph L. Shomberg

Simulation-based inference plays a major role in modern statistics, and often employs either reallocating (as in a randomization test) or resampling (as in bootstrapping). Reallocating mimics random allocation to treatment groups, while…

Statistics Theory · Mathematics 2017-08-08 Kari Lock Morgan

We examine study designs for extending (generalizing or transporting) causal inferences from a randomized trial to a target population. Specifically, we consider nested trial designs, where randomized individuals are nested within a sample…

We show that model compression can improve the population risk of a pre-trained model, by studying the tradeoff between the decrease in the generalization error and the increase in the empirical risk with model compression. We first prove…

Machine Learning · Statistics 2019-01-29 Yuheng Bu , Weihao Gao , Shaofeng Zou , Venugopal V. Veeravalli

Distributionally robust optimization (DRO) and invariant risk minimization (IRM) are two popular methods proposed to improve out-of-distribution (OOD) generalization performance of machine learning models. While effective for small models,…

Machine Learning · Computer Science 2023-01-25 Xiao Zhou , Yong Lin , Renjie Pi , Weizhong Zhang , Renzhe Xu , Peng Cui , Tong Zhang

Many systems with propagation dynamics, such as spike propagation in neural networks and spreading of infectious diseases, can be approximated by autoregressive models. The estimation of model parameters can be complicated by the…

Neurons and Cognition · Quantitative Biology 2021-01-01 Jorge de Heuvel , Jens Wilting , Moritz Becker , Viola Priesemann , Johannes Zierenberg

The heterogeneity of the influence processes is an important feature of social systems: how we perceive social influence and how we influence other individuals is heavily influenced by our opinion and non-opinion attributes. The latter…

Social and Information Networks · Computer Science 2022-09-07 Ivan V. Kozitsin

Ranking populations such as institutions based on certain characteristics is often of interest, and these ranks are typically estimated using samples drawn from the populations. Due to sample randomness, it is important to quantify the…

Methodology · Statistics 2025-12-08 Onrina Chandra , Min-ge Xie

The use of information technology in the study of human behavior is a subject of great scientific interest. Cultural and personality aspects are factors that influence how people interact with one another in a crowd. This paper presents a…

Computer Vision and Pattern Recognition · Computer Science 2019-03-06 Rodolfo Migon Favaretto , Leandro Dihl , Soraia Raupp Musse , Felipe Vilanova , Angelo Brandelli Costa

Modern complex datasets often consist of various sub-populations with known group information. In the presence of sub-population heterogeneity, it is crucial to develop robust and generalizable learning methods that (1) can enjoy robust…

Methodology · Statistics 2025-09-30 Weibin Mo , Weijing Tang , Songkai Xue , Yufeng Liu , Ji Zhu

Neural NLP models tend to rely on spurious correlations between labels and input features to perform their tasks. Minority examples, i.e., examples that contradict the spurious correlations present in the majority of data points, have been…

Computation and Language · Computer Science 2021-02-03 Yadollah Yaghoobzadeh , Soroush Mehri , Remi Tachet , T. J. Hazen , Alessandro Sordoni

The growing prevalence of large language models (LLMs) and vision-language models (VLMs) has heightened the need for reliable techniques to determine whether a model has been fine-tuned from or is even identical to another. Existing…

Machine Learning · Computer Science 2025-09-30 Ruibo Chen , Sheng Zhang , Yihan Wu , Tong Zheng , Peihua Mai , Heng Huang

In regression modelling approach, the main step is to fit the regression line as close as possible to the target variable. In this process most algorithms try to fit all of the data in a single line and hence fitting all parts of target…

Machine Learning · Statistics 2018-05-07 Kumarjit Pathak , Jitin Kapila , Aasheesh Barvey , Nikit Gawande

We introduce a general modeling framework to predict the outcomes, at the population level, of individual psychology and behavior. The framework prescribes that researchers build a cost function that embodies knowledge of what trait values…

Physics and Society · Physics 2007-05-23 Pierluigi Contucci , Stefano Ghirlanda

Compositional generalization, the ability to predict complex meanings from training on simpler sentences, poses challenges for powerful pretrained seq2seq models. In this paper, we show that data augmentation methods that sample MRs and…

Computation and Language · Computer Science 2024-01-19 Yuekun Yao , Alexander Koller

Comparison and contrast are the basic means to unveil causation and learn which treatments work. To build good comparison groups, randomized experimentation is key, yet often infeasible. In such non-experimental settings, we illustrate and…

Methodology · Statistics 2024-01-30 Ambarish Chattopadhyay , Jose R. Zubizarreta
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