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Driven by applications in telecommunication networks, we explore the simulation task of estimating rare event probabilities for tandem queues in their steady state. Existing literature has recognized that importance sampling methods can be…

Machine Learning · Computer Science 2025-04-22 Ruoning Zhao , Xinyun Chen

Traditional classification tasks learn to assign samples to given classes based solely on sample features. This paradigm is evolving to include other sources of information, such as known relations between samples. Here we show that, even…

Machine Learning · Computer Science 2021-04-15 Yifan Qian , Paul Expert , Pietro Panzarasa , Mauricio Barahona

We study the problem of estimating the number of edges in an $n$-vertex graph, accessed via the Bipartite Independent Set query model introduced by Beame et al. (ITCS '18). In this model, each query returns a Boolean, indicating the…

Data Structures and Algorithms · Computer Science 2022-07-07 Raghavendra Addanki , Andrew McGregor , Cameron Musco

Many learning problems involve symmetries, and while invariance can be built into neural architectures, it can also emerge implicitly when training on group-structured data. We study this phenomenon in classical Hopfield networks and show…

Machine Learning · Computer Science 2026-01-21 Michael Murray , Tenzin Chan , Kedar Karhadker , Christopher J. Hillar

Intensity inhomogeneities in images constitute a considerable challenge in image segmentation. In this paper we propose a novel biconvex variational model to tackle this task. We combine a total variation approach for multi class…

Numerical Analysis · Mathematics 2017-05-09 Jan Henrik Fitschen , Katharina Losch , Gabriele Steidl

Link prediction in bipartite graphs is crucial for applications like recommendation systems and failure detection, yet it is less studied than in monopartite graphs. Contrastive methods struggle with inefficient and biased negative…

Machine Learning · Computer Science 2025-10-30 Joel Frank Huarayo Quispe , Lilian Berton , Didier Vega-Oliveros

Graph sampling is a technique to pick a subset of vertices and/ or edges from original graph. It has a wide spectrum of applications, e.g. survey hidden population in sociology [54], visualize social graph [29], scale down Internet AS graph…

Social and Information Networks · Computer Science 2013-08-28 Pili Hu , Wing Cheong Lau

Joint modeling of multiview graphs with a common set of nodes between views and auxiliary predictors is an essential, yet less explored, area in statistical methodology. Traditional approaches often treat graphs in different views as…

Methodology · Statistics 2026-03-24 Sharmistha Guha , Jose Rodriguez-Acosta , Ivo Dinov

This paper proposes a novel representation of decomposable graphs based on semi-latent tree-dependent bipartite graphs. The novel representation has two main benefits. First, it enables a form of sub-clustering within maximal cliques of the…

Methodology · Statistics 2017-12-05 Mohamad Elmasri

Selection bias is a major obstacle toward valid causal inference in epidemiology. Over the past decade, several graphical rules based on causal diagrams have been proposed as the sufficient identification conditions for addressing selection…

Methodology · Statistics 2025-12-18 Yichi Zhang , Haidong Lu

Joint misclassification of exposure and outcome variables can lead to considerable bias in epidemiological studies of causal exposure-outcome effects. In this paper, we present a new maximum likelihood based estimator for the marginal…

Methodology · Statistics 2019-01-16 Bas B. L. Penning de Vries , Maarten van Smeden , Rolf H. H. Groenwold

Extending the work of Godsil and others, we investigate the notion of the inverse of a graph (specifically, of bipartite graphs with a unique perfect matching). We provide a concise necessary and sufficient condition for the invertibility…

Combinatorics · Mathematics 2011-08-19 Cam McLeman , Erin McNicholas

The use of data-random graphs in statistical testing of spatial patterns is introduced recently. In this approach, a random directed graph is constructed from the data using the relative positions of the points from various classes.…

Statistics Theory · Mathematics 2009-07-01 Elvan Ceyhan

In this paper, we study the type graph, namely, a bipartite graph induced by a joint type. We investigate the maximum edge density of induced bipartite subgraphs of this graph having a number of vertices on each side on an exponential scale…

Information Theory · Computer Science 2024-01-23 Lei Yu , Venkat Anantharam , Jun Chen

This paper studies the problem of counting homomorphisms from a bipartite source graph to a bipartite target graph. An exact formula is first derived for the number of homomorphisms from a complete bipartite graph into a general bipartite…

Combinatorics · Mathematics 2025-08-21 Igal Sason

Economists often rely on estimates of linear fixed effects models produced by other teams of researchers. Assessing the uncertainty in these estimates can be challenging. I propose a form of sample splitting for networks that partitions the…

Econometrics · Economics 2025-12-29 Patrick Kline

Debiased estimation has long been an area of research in the group testing literature. This has led to the development of several estimators with the goal of bias minimization and, recently, an unbiased estimator based on sequential…

Methodology · Statistics 2018-06-08 Gregory Haber , Yaakov Malinovsky

When network and graph theory are used in the study of complex systems, a typically finite set of nodes of the network under consideration is frequently either explicitly or implicitly considered representative of a much larger finite or…

Data Analysis, Statistics and Probability · Physics 2015-03-18 Jobst Heitzig , Jonathan F. Donges , Yong Zou , Norbert Marwan , Jürgen Kurths

This paper considers the difficulty in the set-system approach to generalizing graph theory. These difficulties arise categorically as the category of set-system hypergraphs is shown not to be cartesian closed and lacks enough projective…

Combinatorics · Mathematics 2019-05-06 Will Grilliette , Lucas J. Rusnak

This paper studies how to capture dependency graph structures from real data which may not be Gaussian. Starting from marginal loss functions not necessarily derived from probability distributions, we utilize an additive…

Machine Learning · Statistics 2019-12-03 Yiyuan She , Shao Tang , Qiaoya Zhang
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