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The triple-differences (TD) design is a popular identification strategy for causal effects in settings where researchers do not believe the parallel trends assumption of conventional difference-in-differences (DiD) is satisfied. TD designs…

Methodology · Statistics 2023-07-11 Anton Strezhnev

Modern neural network training relies on piece-wise (sub-)differentiable functions in order to use backpropagation to update model parameters. In this work, we introduce a novel method to allow simple non-differentiable functions at…

Machine Learning · Computer Science 2019-10-29 Jason Ramapuram , Russ Webb

We present a unified theoretical framework connecting the first property of Deep Neural Collapse (DNC1) to the emergence of implicit low-rank bias in nonlinear networks trained with $L^2$ weight decay regularization. Our main contributions…

Machine Learning · Computer Science 2026-02-12 Emanuele Zangrando , Piero Deidda , Simone Brugiapaglia , Nicola Guglielmi , Francesco Tudisco

We investigate the problem of compound estimation of normal means while accounting for the presence of side information. Leveraging the empirical Bayes framework, we develop a nonparametric integrative Tweedie (NIT) approach that…

Methodology · Statistics 2025-02-17 Jiajun Luo , Trambak Banerjee , Gourab Mukherjee , Wenguang Sun

In this study, we consider a pairwise network formation model in which each dyad of agents strategically determines the link status between them. Our model allows the agents to have unobserved group heterogeneity in the propensity of link…

Econometrics · Economics 2021-02-05 Tadao Hoshino

We introduce a simple network formation model for social networks. Agents are nodes, connecting to another agent by building a directed edge (or accepting a connection from another agent) has a cost, and reaching (or being reached by) other…

Social and Information Networks · Computer Science 2016-04-22 L. Elisa Celis , Aida Sadat Mousavifar

We propose a novel computational framework that models human social decision-making under uncertainty as an integrated Multi-Armed Bandit (MAB) and Markov Decision Process (MDP) optimization problem, in which agents adaptively balance the…

Social and Information Networks · Computer Science 2025-12-18 Mohammad Zare

Data with low-dimensional nonlinear structure are ubiquitous in engineering and scientific problems. We study a model problem with such structure -- a binary classification task that uses a deep fully-connected neural network to classify…

Machine Learning · Statistics 2021-11-01 Tingran Wang , Sam Buchanan , Dar Gilboa , John Wright

In this project we are interested in performing clustering of observations such that the cluster membership is influenced by a set of predictors. To that end, we employ the Bayesian nonparameteric Common Atoms Model, which is a nested…

Methodology · Statistics 2025-12-11 Md Yasin Ali Parh , Jeremy T. Gaskins

Consider a heterogeneous data stream being generated by the nodes of a graph. The data stream is in essence composed by multiple streams, possibly of different nature that depends on each node. At a given moment $\tau$, a change-point…

Machine Learning · Statistics 2021-10-22 Alejandro de la Concha , Argyris Kalogeratos , Nicolas Vayatis

All types of networks arise as intricate combinations of dyadic building blocks formed by pairs of vertices. In directed networks, the dyadic patterns are entirely determined by reciprocity, i.e. the tendency to form, or to avoid, mutual…

Data Analysis, Statistics and Probability · Physics 2014-01-14 Tiziano Squartini , Francesco Picciolo , Franco Ruzzenenti , Diego Garlaschelli

Randomized experiments are widely used to estimate the causal effects of a proposed treatment in many areas of science, from medicine and healthcare to the physical and biological sciences, from the social sciences to engineering, to public…

Methodology · Statistics 2022-11-30 Christina Lee Yu , Edoardo M Airoldi , Christian Borgs , Jennifer T Chayes

Network interference, where the outcome of an individual is affected by the treatment assignment of those in their social network, is pervasive in real-world settings. However, it poses a challenge to estimating causal effects. We consider…

Methodology · Statistics 2024-02-06 Mayleen Cortez-Rodriguez , Matthew Eichhorn , Christina Lee Yu

We present a discriminative nonparametric latent feature relational model (LFRM) for link prediction to automatically infer the dimensionality of latent features. Under the generic RegBayes (regularized Bayesian inference) framework, we…

Machine Learning · Computer Science 2015-12-08 Bei Chen , Ning Chen , Jun Zhu , Jiaming Song , Bo Zhang

A quantitative evaluation of the contribution of individual units in producing the collective behavior of a complex network can allow us to understand the potential damage to the structure integrity due to the failure of local nodes. Given…

Physics and Society · Physics 2024-06-19 X. San Liang

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

This paper is motivated by the task of detecting anomalies in networks of financial transactions, with accounts as nodes and a directed weighted edge between two nodes denoting a money transfer. The weight of the edge is the transaction…

Applications · Statistics 2019-05-28 Andrew Elliott , Mihai Cucuringu , Milton Martinez Luaces , Paul Reidy , Gesine Reinert

Many economic activities are embedded in networks: sets of agents and the (often) rivalrous relationships connecting them to one another. Input sourcing by firms, interbank lending, scientific research, and job search are four examples,…

Econometrics · Economics 2019-12-16 Bryan S. Graham

We study collective dynamics of complex networks of stochastic excitable elements, active rotators. In the thermodynamic limit of infinite number of elements, we apply a mean-field theory for the network and then use a Gaussian…

Chaotic Dynamics · Physics 2013-11-19 Bernard Sonnenschein , Michael A. Zaks , Alexander B. Neiman , Lutz Schimansky-Geier

We study causal effect estimation from observational data under interference. The interference pattern is captured by an observed network. We adopt the chain graph framework of Tchetgen Tchetgen et. al. (2021), which allows (i) interaction…

Statistics Theory · Mathematics 2024-07-30 Sohom Bhattacharya , Subhabrata Sen