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For nonparametric inference about a function, multiscale testing procedures resolve the need for bandwidth selection and achieve asymptotically optimal detection performance against a broad range of alternatives. However, critical values…

Statistics Theory · Mathematics 2025-06-06 Johann Köhne , Fabian Mies

Determinantal point processes (DPPs) are random point processes well-suited for modeling repulsion. In machine learning, the focus of DPP-based models has been on diverse subset selection from a discrete and finite base set. This discrete…

Machine Learning · Statistics 2013-11-14 Raja Hafiz Affandi , Emily B. Fox , Ben Taskar

The identification of community structure in a social network is an important problem tackled in the literature of network analysis. There are many solutions to this problem using a static scenario, when facing a dynamic scenario some…

Social and Information Networks · Computer Science 2021-12-01 Aurélio Ribeiro Costa

The increasing use of deep learning across various domains highlights the importance of understanding the decision-making processes of these black-box models. Recent research focusing on the decision boundaries of deep classifiers, relies…

Machine Learning · Computer Science 2024-08-13 Inês Gomes , Luís F. Teixeira , Jan N. van Rijn , Carlos Soares , André Restivo , Luís Cunha , Moisés Santos

Based on the binary time series data of social infection dynamics, we propose a general framework to reconstruct 2-simplex complexes with two-body and three-body interactions by combining the maximum likelihood estimation in statistical…

Physics and Society · Physics 2023-07-25 Kaiwei Liu , Xing Lv , Fei Gao , Jiang Zhang

We consider the algorithmic problem of selecting a set of target nodes that cause the biggest activation cascade in a network. In case when the activation process obeys the diminishing returns property, a simple hill-climbing selection…

Physics and Society · Physics 2009-05-08 Aram Galstyan , Vahe Musoyan , Paul Cohen

Community detection is one of the most important problems in network analysis. Among many algorithms proposed for this task, methods based on statistical inference are of particular interest: they are mathematically sound and were shown to…

Social and Information Networks · Computer Science 2019-02-25 Liudmila Prokhorenkova , Alexey Tikhonov

Heterogeneous networks are networks consisting of different types of nodes and multiple types of edges linking such nodes. While community detection has been extensively developed as a useful technique for analyzing networks that contain…

Social and Information Networks · Computer Science 2018-03-23 Jingfei Zhang , Yuguo Chen

Deep learning based discriminative methods, being the state-of-the-art machine learning techniques, are ill-suited for learning from lower amounts of data. In this paper, we propose a novel framework, called simultaneous two sample learning…

Computation and Language · Computer Science 2017-12-18 Sri Harsha Dumpala , Rupayan Chakraborty , Sunil Kumar Kopparapu

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

In this work, we consider hypothesis testing and anomaly detection on datasets where each observation is a weighted network. Examples of such data include brain connectivity networks from fMRI flow data, or word co-occurrence counts for…

Machine Learning · Statistics 2018-09-10 Guilherme Gomes , Vinayak Rao , Jennifer Neville

In network applications, it has become increasingly common to obtain datasets in the form of multiple networks observed on the same set of subjects, where each network is obtained in a related but different experiment condition or…

Statistics Theory · Mathematics 2022-05-23 Shuxiao Chen , Sifan Liu , Zongming Ma

Many modern statistical applications involve a two-level sampling scheme that first samples subjects from a population and then samples observations on each subject. These schemes often are designed to learn both the population-level…

Methodology · Statistics 2024-04-02 Akira Horiguchi , Li Ma , Botond T. Szabó

Two-sample hypothesis testing for random graphs arises naturally in neuroscience, social networks, and machine learning. In this paper, we consider a semiparametric problem of two-sample hypothesis testing for a class of latent position…

Methodology · Statistics 2015-06-19 Minh Tang , Avanti Athreya , Daniel L. Sussman , Vince Lyzinski , Carey E. Priebe

Identifying communities in networks is a fundamental and challenging problem of practical importance in many fields of science. Current methods either ignore the heterogeneous distribution of nodal degrees or assume prior knowledge of the…

Social and Information Networks · Computer Science 2021-12-22 Xin-Jian Xu , Cheng Chen , J. F. F. Mendes

In this paper we consider the uniformity testing problem for high-dimensional discrete distributions (multinomials) under sparse alternatives. More precisely, we derive sharp detection thresholds for testing, based on $n$ samples, whether a…

Statistics Theory · Mathematics 2022-02-17 Bhaswar B. Bhattacharya , Rajarshi Mukherjee

We study goodness-of-fit and independence testing of discrete distributions in a setting where samples are distributed across multiple users. The users wish to preserve the privacy of their data while enabling a central server to perform…

Data Structures and Algorithms · Computer Science 2021-01-21 Jayadev Acharya , Clément L. Canonne , Cody Freitag , Ziteng Sun , Himanshu Tyagi

This paper proposes a new class of nonparametric tests for the correct specification of models based on conditional moment restrictions, paying particular attention to generalized propensity score models. The test procedure is based on two…

Econometrics · Economics 2023-04-18 Pedro H. C. Sant'Anna , Xiaojun Song

In recent years, it has become common practice in neuroscience to use networks to summarize relational information in a set of measurements, typically assumed to be reflective of either functional or structural relationships between regions…

Applications · Statistics 2017-03-20 Cedric E. Ginestet , Jun Li , Prakash Balachandran , Steven Rosenberg , Eric D. Kolaczyk

Bayesian change-point detection, together with latent variable models, allows to perform segmentation over high-dimensional time-series. We assume that change-points lie on a lower-dimensional manifold where we aim to infer subsets of…

Machine Learning · Statistics 2020-11-04 Lorena Romero-Medrano , Pablo Moreno-Muñoz , Antonio Artés-Rodríguez
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