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Characterizing motif (i.e., locally connected subgraph patterns) statistics is important for understanding complex networks such as online social networks and communication networks. Previous work made the strong assumption that the graph…

Social and Information Networks · Computer Science 2015-02-25 Pinghui Wang , John C. S. Lui , Don Towsley

Estimating the number of signals embedded in noise is a fundamental problem in array signal processing. The classic RMT estimator based on random matrix theory (RMT) tends to under-estimate the number of signals as it does not consider the…

Information Theory · Computer Science 2020-10-28 Huiyue Yi

The extraction of nonstationary signals from blind and semi-blind multivariate observations is a recurrent problem. Numerous algorithms have been developed for this problem, which are based on the exact or approximate joint diagonalization…

Signal Processing · Electrical Eng. & Systems 2021-08-27 Reza Sameni , Christian Jutten

In Compressed Sensing, a real-valued sparse vector has to be recovered from an underdetermined system of linear equations. In many applications, however, the elements of the sparse vector are drawn from a finite set. Adapted algorithms…

Information Theory · Computer Science 2017-03-03 Susanne Sparrer , Robert F. H. Fischer

This paper is concerned with the partially observed linear system identification, where the goal is to obtain reasonably accurate estimation of the balanced truncation of the true system up to order $k$ from output measurements. We consider…

Optimization and Control · Mathematics 2025-09-05 Jihun Kim , Javad Lavaei

We develop a new sampling method to estimate eigenvector centrality on incomplete networks. Our goal is to estimate this global centrality measure having at disposal a limited amount of data. This is the case in many real-world scenarios…

Social and Information Networks · Computer Science 2020-10-29 Nicolò Ruggeri , Caterina De Bacco

Dependency parsing research, which has made significant gains in recent years, typically focuses on improving the accuracy of single-tree predictions. However, ambiguity is inherent to natural language syntax, and communicating such…

Computation and Language · Computer Science 2018-04-18 Katherine A. Keith , Su Lin Blodgett , Brendan O'Connor

The inverse problem of recovering point sources represents an important class of applied inverse problems. However, there is still a lack of neural network-based methods for point source identification, mainly due to the inherent solution…

Numerical Analysis · Mathematics 2024-08-20 Tianhao Hu , Bangti Jin , Zhi Zhou

The unmatched ability of Deep Neural Networks in capturing complex patterns in large and noisy datasets is often associated with their large hypothesis space, and consequently to the vast amount of parameters that characterize model…

Machine Learning · Computer Science 2026-02-25 Enrico Ballini , Luca Muscarnera , Alessio Fumagalli , Anna Scotti , Francesco Regazzoni

We developed a novel direct algorithm to derive the mass-ratio distribution (MRD) of short-period binaries from an observed sample of single-lined spectroscopic binaries (SB1). The algorithm considers a class of parameterized MRDs and finds…

Instrumentation and Methods for Astrophysics · Physics 2017-10-18 Sahar Shahaf , Tsevi Mazeh , Simchon Faigler

Scientific modeling applications often require estimating a distribution of parameters consistent with a dataset of observations - an inference task also known as source distribution estimation. This problem can be ill-posed, however, since…

Machine Learning · Computer Science 2024-12-02 Julius Vetter , Guy Moss , Cornelius Schröder , Richard Gao , Jakob H. Macke

We develop an algorithm for sampling from the unitary invariant random matrix ensembles. The algorithm is based on the representation of their eigenvalues as a determinantal point process whose kernel is given in terms of orthogonal…

Mathematical Physics · Physics 2014-04-02 Sheehan Olver , Raj Rao Nadakuditi , Thomas Trogdon

The problem of statistical inference in its various forms has been the subject of decades-long extensive research. Most of the effort has been focused on characterizing the behavior as a function of the number of available samples, with far…

Machine Learning · Computer Science 2024-11-12 Tomer Berg , Or Ordentlich , Ofer Shayevitz

Context. Convolutional neural networks (CNNs) have been established as the go-to method for fast object detection and classification on natural images. This opens the door for astrophysical parameter inference on the exponentially…

Astrophysics of Galaxies · Physics 2020-01-29 J. Bialopetravičius , D. Narbutis

We consider the problem of inferring an unknown ranking of $n$ items from a random tournament on $n$ vertices whose edge directions are correlated with the ranking. We establish, in terms of the strength of these correlations, the…

Statistics Theory · Mathematics 2024-07-24 Dmitriy Kunisky , Daniel A. Spielman , Xifan Yu

Structural learning, a method to estimate the parameters for discrete energy minimization, has been proven to be effective in solving computer vision problems, especially in 3D scene parsing. As the complexity of the models increases,…

Computer Vision and Pattern Recognition · Computer Science 2017-01-13 Mengtian Li , Daniel Huber

Here, we show that the InfoNCE objective is equivalent to the ELBO in a new class of probabilistic generative model, the recognition parameterised model (RPM). When we learn the optimal prior, the RPM ELBO becomes equal to the mutual…

Machine Learning · Statistics 2023-08-11 Laurence Aitchison , Stoil Ganev

The next generation of telescopes will acquire terabytes of image data on a nightly basis. Collectively, these large images will contain billions of interesting objects, which astronomers call sources. The astronomers' task is to construct…

Applications · Statistics 2009-10-29 David A. Friedenberg , Christopher R. Genovese

We introduce a random recursive tree model with two communities, called balanced community modulated random recursive tree, or BCMRT in short. In this setting, pairs of nodes of different type appear sequentially. Each node of the pair…

Statistics Theory · Mathematics 2024-02-12 Anna Ben-Hamou , Vasiliki Velona

Recent studies in Learning to Rank have shown the possibility to effectively distill a neural network from an ensemble of regression trees. This result leads neural networks to become a natural competitor of tree-based ensembles on the…

Machine Learning · Computer Science 2024-10-28 F. M. Nardini , C. Rulli , S. Trani , R. Venturini