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This paper leverages the framework of algorithms-with-predictions to design data structures for two fundamental dynamic graph problems: incremental topological ordering and cycle detection. In these problems, the input is a directed graph…

Data Structures and Algorithms · Computer Science 2024-02-20 Samuel McCauley , Benjamin Moseley , Aidin Niaparast , Shikha Singh

The Degree-Corrected Stochastic Block Model (DCSBM) is a popular model to generate random graphs with community structure given an expected degree sequence. The standard approach of community detection based on the DCSBM is to search for…

Social and Information Networks · Computer Science 2021-05-05 Breno Serrano , Thibaut Vidal

Given a labeled graph, the frequent-subgraph mining (FSM) problem asks to find all the $k$-vertex subgraphs that appear with frequency greater than a given threshold. FSM has numerous applications ranging from biology to network science, as…

Data Structures and Algorithms · Computer Science 2018-09-11 Cigdem Aslay , Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Aristides Gionis

Graph clustering is an important technique to understand the relationships between the vertices in a big graph. In this paper, we propose a novel random-walk-based graph clustering method. The proposed method restricts the reach of the…

Social and Information Networks · Computer Science 2016-06-22 Honglei Zhang , Jenni Raitoharju , Serkan Kiranyaz , Moncef Gabbouj

We address the multiple testing problem under the assumption that the true/false hypotheses are driven by a Hidden Markov Model (HMM), which is recognized as a fundamental setting to model multiple testing under dependence since the seminal…

Methodology · Statistics 2021-05-04 Marie Perrot-Dockès , Gilles Blanchard , Pierre Neuvial , Etienne Roquain

Graph-based anomaly detection finds numerous applications in the real-world. Thus, there exists extensive literature on the topic that has recently shifted toward deep detection models due to advances in deep learning and graph neural…

Machine Learning · Computer Science 2022-10-21 Lingxiao Zhao , Saurabh Sawlani , Arvind Srinivasan , Leman Akoglu

Multiple hypothesis testing is a core problem in statistical inference and arises in almost every scientific field. Given a set of null hypotheses $\mathcal{H}(n) = (H_1,\dotsc, H_n)$, Benjamini and Hochberg introduced the false discovery…

Statistics Theory · Mathematics 2017-07-10 Adel Javanmard , Andrea Montanari

In this paper, we propose a novel \emph{uncertainty-aware graph self-training} approach for semi-supervised node classification. Our method introduces an Expectation-Maximization (EM) regularization scheme to incorporate an uncertainty…

Machine Learning · Computer Science 2025-07-31 Emily Wang , Michael Chen , Chao Li

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

Computation · Statistics 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

We consider the problem of clustering a graph $G$ into two communities by observing a subset of the vertex correlations. Specifically, we consider the inverse problem with observed variables $Y=B_G x \oplus Z$, where $B_G$ is the incidence…

Information Theory · Computer Science 2014-11-06 Emmanuel Abbe , Afonso S. Bandeira , Annina Bracher , Amit Singer

Clustering and community detection with multiple graphs have typically focused on aligned graphs, where there is a mapping between nodes across the graphs (e.g., multi-view, multi-layer, temporal graphs). However, there are numerous…

Social and Information Networks · Computer Science 2019-04-11 Guilherme Gomes , Vinayak Rao , Jennifer Neville

In the Network Inference problem, one seeks to recover the edges of an unknown graph from the observations of cascades propagating over this graph. In this paper, we approach this problem from the sparse recovery perspective. We introduce a…

Social and Information Networks · Computer Science 2024-11-14 Jean Pouget-Abadie , Thibaut Horel

Out of the participants in a randomized experiment with anticipated heterogeneous treatment effects, is it possible to identify which subjects have a positive treatment effect? While subgroup analysis has received attention, claims about…

Methodology · Statistics 2024-05-14 Boyan Duan , Larry Wasserman , Aaditya Ramdas

Uncertainty quantification has become an important factor in understanding the data representations produced by Graph Neural Networks (GNNs). Despite their predictive capabilities being ever useful across industrial workspaces, the inherent…

Artificial Intelligence · Computer Science 2026-05-13 Tommy Woodley , Shireen Kudukkil Manchingal , Matteo Tolloso , Davide Bacciu , Fabio Cuzzolin

Despite the popularity of the false discovery rate (FDR) as an error control metric for large-scale multiple testing, its close Bayesian counterpart the local false discovery rate (lfdr), defined as the posterior probability that a…

Methodology · Statistics 2023-09-22 Jake A. Soloff , Daniel Xiang , William Fithian

The highly influential two-group model in testing a large number of statistical hypotheses assumes that the test statistics are drawn independently from a mixture of a high probability null distribution and a low probability alternative.…

Methodology · Statistics 2020-12-08 Ruth Heller , Saharon Rosset

We study the statistical performance of semidefinite programming (SDP) relaxations for clustering under random graph models. Under the $\mathbb{Z}_{2}$ Synchronization model, Censored Block Model and Stochastic Block Model, we show that SDP…

Statistics Theory · Mathematics 2019-04-23 Yingjie Fei , Yudong Chen

We study the two inference problems of detecting and recovering an isolated community of \emph{general} structure planted in a random graph. The detection problem is formalized as a hypothesis testing problem, where under the null…

Data Structures and Algorithms · Computer Science 2022-01-25 Wasim Huleihel

This paper is concerned with false discovery rate (FDR) control in large-scale multiple testing problems. We first propose a new data-driven testing procedure for controlling the FDR in large-scale t-tests for one-sample mean problem. The…

Statistics Theory · Mathematics 2020-03-02 Changliang Zou , Haojie Ren , Xu Guo , Runze Li

In large-scale multiple hypothesis testing problems, the false discovery exceedance (FDX) provides a desirable alternative to the widely used false discovery rate (FDR) when the false discovery proportion (FDP) is highly variable. We…

Methodology · Statistics 2023-04-21 Pallavi Basu , Luella Fu , Alessio Saretto , Wenguang Sun