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In this paper we present a theoretical foundation for a representation of a data set as a measure in a very large hierarchically parametrized family of positive measures, whose parameters can be computed explicitly (rather than estimated by…

Classical Analysis and ODEs · Mathematics 2020-06-16 Devasis Bassu , Peter W. Jones , Linda Ness , David Shallcross

Observational studies are often conducted to estimate causal effects of treatments or exposures on event-time outcomes. Since treatments are not randomized in observational studies, techniques from causal inference are required to adjust…

Methodology · Statistics 2023-10-23 Han Ji , Arman Oganisian

Identifying how dependence relationships vary across different conditions plays a significant role in many scientific investigations. For example, it is important for the comparison of biological systems to see if relationships between…

Methodology · Statistics 2023-07-31 Hoseung Song , Michael C. Wu

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

We present principled approaches to train and deploy dyadic neural embedding models at the billion scale, focusing our investigation on the application of semantic product search. When training a dyadic model, one seeks to embed two…

Information Retrieval · Computer Science 2021-10-13 Vihan Lakshman , Choon Hui Teo , Xiaowen Chu , Priyanka Nigam , Abhinandan Patni , Pooja Maknikar , SVN Vishwanathan

This article introduces a model-agnostic approach to study statistical synergy, a form of emergence in which patterns at large scales are not traceable from lower scales. Our framework leverages various multivariate extensions of Shannon's…

Information Theory · Computer Science 2019-09-18 Fernando Rosas , Pedro A. M. Mediano , Michael Gastpar , Henrik J. Jensen

Identifying patterns of relations among the units of a complex system from measurements of their activities in time is a fundamental problem with many practical applications. Here, we introduce a method that detects dependencies of any…

Physics and Society · Physics 2026-03-09 Andrea Civilini , Fabrizio de Vico Fallani , Vito Latora

Ordinal cumulative probability models (CPMs) -- also known as cumulative link models -- such as the proportional odds regression model are typically used for discrete ordered outcomes, but can accommodate both continuous and mixed…

Methodology · Statistics 2022-01-11 Nathan T. James , Frank E. Harrell , Bryan E. Shepherd

Every design choice will have different effects on different units. However traditional A/B tests are often underpowered to identify these heterogeneous effects. This is especially true when the set of unit-level attributes is…

Artificial Intelligence · Computer Science 2016-11-09 Alexander Peysakhovich , Akos Lada

As the twin movements of open science and open source bring an ever greater share of the scientific process into the digital realm, new opportunities arise for the meta-scientific study of science itself, including of data science and…

Statistics Theory · Mathematics 2020-06-17 Evan Patterson

We assess the reliability of relational event model parameters estimated under two sampling schemes: (1) uniform sampling from the observed events and (2) case-control sampling which samples non-events, or null dyads ("controls"), from a…

Social and Information Networks · Computer Science 2021-12-21 Jürgen Lerner , Alessandro Lomi

Relational data characterized by directed edges with count measurements are common in social science. Most existing methods either assume the count edges are derived from continuous random variables or model the edge dependency by…

Methodology · Statistics 2025-02-18 Wenqin Du , Bailey K. Fosdick , Wen Zhou

Motivation: Model selection is a ubiquitous challenge in statistics. For penalized models, model selection typically entails tuning hyperparameters to maximize a measure of fit or minimize out-of-sample prediction error. However, these…

Methodology · Statistics 2025-05-29 Priyam Das , Sarah Robinson , Christine B. Peterson

A new class of general exponential ranking models is introduced which we label angle-based models for ranking data. A consensus score vector is assumed, which assigns scores to a set of items, where the scores reflect a consensus view of…

Methodology · Statistics 2017-12-27 Hang Xu , Mayer Alvo , Philip L. H. Yu

Even though dyadic regressions are widely used in empirical applications, the (asymptotic) properties of estimation methods only began to be studied recently in the literature. This paper aims to provide in a step-by-step manner how…

Econometrics · Economics 2023-09-06 G. M. Szini

Categorical covariates such as race, sex, or group are ubiquitous in regression analysis. While main-only (or ANCOVA) linear models are predominant, cat-modified linear models that include categorical-continuous or categorical-categorical…

Methodology · Statistics 2024-08-02 Daniel R. Kowal

Dense associative memories (DAM), are widespread models in artificial intelligence used for pattern recognition tasks; computationally, they have been proven to be robust against adversarial input and theoretically, leveraging their analogy…

Disordered Systems and Neural Networks · Physics 2022-11-09 Elena Agliari , Alberto Fachechi , Chiara Marullo

We develop a dynamic model of discrete choice that incorporates peer effects into random consideration sets. We characterize the equilibrium behavior and study the empirical content of the model. In our setup, changes in the choices of…

Econometrics · Economics 2021-05-19 Nail Kashaev , Natalia Lazzati

A software package has been developed to bridge the R analysis model with the conceptual analysis environment typical of radiation physics experiments. The new package has been used in the context of a project for the validation of…

Computational Physics · Physics 2013-11-25 Andreas Pfeiffer , Maria Grazia Pia

Detecting anomalies from a series of temporal networks has many applications, including road accidents in transport networks and suspicious events in social networks. While there are many methods for network anomaly detection, statistical…

Social and Information Networks · Computer Science 2022-10-17 Sevvandi Kandanaarachchi , Rob J Hyndman