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Whole-brain network analyses remain the vanguard in neuroimaging research, coming to prominence within the last decade. Network science approaches have facilitated these analyses and allowed examining the brain as an integrated system.…

Applications · Statistics 2015-05-04 Sean L. Simpson , Paul J. Laurienti

Inference and prediction are fundamental to the study of complex systems, where network data are often incomplete, inaccurate or obtained indirectly. In this paper, we review recent advances in network sampling and comparison, as well as in…

Statistical Mechanics · Physics 2025-12-09 Francisco A. Rodrigues

Network datasets appear across a wide range of scientific fields, including biology, physics, and the social sciences. To enable data-driven discoveries from these networks, statistical inference techniques like estimation and hypothesis…

Methodology · Statistics 2026-02-19 Arpan Kumar , Minh Tang , Srijan Sengupta

We present a universal framework for constructing confidence sets based on sequential likelihood mixing. Building upon classical results from sequential analysis, we provide a unifying perspective on several recent lines of work, and…

Machine Learning · Statistics 2025-02-21 Johannes Kirschner , Andreas Krause , Michele Meziu , Mojmir Mutny

We propose and investigate new complementary methodologies for estimating predictive variance networks in regression neural networks. We derive a locally aware mini-batching scheme that result in sparse robust gradients, and show how to…

Machine Learning · Statistics 2019-11-05 Nicki S. Detlefsen , Martin Jørgensen , Søren Hauberg

Network experiments are powerful tools for studying spillover effects, which avoid endogeneity by randomly assigning treatments to units over networks. However, it is non-trivial to analyze network experiments properly without imposing…

Econometrics · Economics 2025-06-09 Mengsi Gao , Peng Ding

The inverse statistical problem of finding direct interactions in complex networks is difficult. In the natural sciences, well-controlled perturbation experiments are widely used to probe the structure of complex networks. However, our…

Disordered Systems and Neural Networks · Physics 2019-10-24 Jialong Jiang , David A. Sivak , Matt Thomson

Network analysis is currently used in a myriad of contexts: from identifying potential drug targets to predicting the spread of epidemics and designing vaccination strategies, and from finding friends to uncovering criminal activity.…

Data Analysis, Statistics and Probability · Physics 2010-04-28 R. Guimera , M. Sales-Pardo

We introduce a minimal opinion formation model, which is quite flexible and can reproduce a broad variety of the existing micro-influence assumptions and models. At the same time, the model can be easily calibrated on real data, upon which…

Physics and Society · Physics 2022-04-05 Ivan V. Kozitsin

Multiple-subject network data are fast emerging in recent years, where a separate connectivity matrix is measured over a common set of nodes for each individual subject, along with subject covariates information. In this article, we propose…

Methodology · Statistics 2021-03-23 Jingfei Zhang , Will Wei Sun , Lexin Li

We propose a new nonparametric modeling framework for causal inference when outcomes depend on how agents are linked in a social or economic network. Such network interference describes a large literature on treatment spillovers, social…

Econometrics · Economics 2025-03-25 Eric Auerbach , Hongchang Guo , Max Tabord-Meehan

This paper presents a statistically sound method for using likelihood to assess potential models of network evolution. The method is tested on data from five real networks. Data from the internet autonomous system network, from two photo…

Social and Information Networks · Computer Science 2013-03-28 R. G. Clegg , R. Landa , U. Harder , M. Rio

In randomized controlled trials without interference, regression adjustment is widely used to enhance the efficiency of treatment effect estimation. This paper extends this efficiency principle to settings with network interference, where a…

Methodology · Statistics 2025-02-18 Xinyuan Fan , Chenlei Leng , Weichi Wu

The interpretability of prediction mechanisms with respect to the underlying prediction problem is often unclear. While several studies have focused on developing prediction models with meaningful parameters, the causal relationships…

Machine Learning · Statistics 2017-09-05 Patrick Blöbaum , Shohei Shimizu

Risk management in many environmental settings requires an understanding of the mechanisms that drive extreme events. Useful metrics for quantifying such risk are extreme quantiles of response variables conditioned on predictor variables…

Machine Learning · Statistics 2024-03-08 Jordan Richards , Raphaël Huser

Random-effects models are frequently used to synthesise information from different studies in meta-analysis. While likelihood-based inference is attractive both in terms of limiting properties and of implementation, its application in…

Methodology · Statistics 2018-02-16 Ioannis Kosmidis , Annamaria Guolo , Cristiano Varin

Inferring latent attributes of people online is an important social computing task, but requires integrating the many heterogeneous sources of information available on the web. We propose learning individual representations of people using…

Social and Information Networks · Computer Science 2017-05-15 Jiwei Li , Alan Ritter , Dan Jurafsky

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

This paper presents a computationally feasible method to compute rigorous bounds on the interval-generalisation of regression analysis to account for epistemic uncertainty in the output variables. The new iterative method uses machine…

Data Analysis, Statistics and Probability · Physics 2023-02-22 Krasymyr Tretiak , Georg Schollmeyer , Scott Ferson

Despite the tremendous success of deep neural networks in various learning problems, it has been observed that adding an intentionally designed adversarial perturbation to inputs of these architectures leads to erroneous classification with…

Machine Learning · Computer Science 2018-12-19 Emilio Rafael Balda , Arash Behboodi , Rudolf Mathar