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Our work is motivated by an interest in constructing a protein-protein interaction network that captures key features associated with Parkinson's disease. While there is an abundance of subnetwork construction methods available, it is often…

Quantitative Methods · Quantitative Biology 2017-10-11 Andrew Elliott , Elizabeth Leicht , Alan Whitmore , Gesine Reinert , Felix Reed-Tsochas

While uniform sampling has been widely studied in the matrix completion literature, CUR sampling approximates a low-rank matrix via row and column samples. Unfortunately, both sampling models lack flexibility for various circumstances in…

Machine Learning · Computer Science 2025-04-17 HanQin Cai , Longxiu Huang , Pengyu Li , Deanna Needell

Reject inference comprises techniques to infer the possible repayment behavior of rejected cases. In this paper, we model credit in a brand new view by capturing the sequential pattern of interactions among multiple stages of loan business…

Risk Management · Quantitative Finance 2022-09-19 Mengnan Song , Jiasong Wang , Suisui Su

This paper makes three contributions to estimating the number of perfect matching in bipartite graphs. First, we prove that the popular sequential importance sampling algorithm works in polynomial time for dense bipartite graphs. More…

Probability · Mathematics 2022-07-07 Yeganeh Alimohammadi , Persi Diaconis , Mohammad Roghani , Amin Saberi

A comprehensive vehicular network analysis requires modeling the street system and vehicle locations. Even when Poisson point processes (PPPs) are used to model the vehicle locations on each street, the analysis is barely tractable. That…

Networking and Internet Architecture · Computer Science 2021-11-30 Jeya Pradha Jeyaraj , Martin Haenggi , Ahmed Hamdi Sakr , Hongsheng Lu

This work presents a non-parametric estimator for the cumulative distribution function (CDF) of the job-size distribution for a queue with compound Poisson input. The workload process is observed according to an independent Poisson sampling…

Statistics Theory · Mathematics 2025-12-11 Liron Ravner

An important problem arising in the study of complex networks, for instance in community detection and motif finding, is the sampling of graphs with fixed degree sequence. The equivalent problem of generating random 0,1 matrices with fixed…

Combinatorics · Mathematics 2018-07-27 Annabell Berger , Corrie Jacobien Carstens

Finding statistically significant high-order interaction features in predictive modeling is important but challenging task. The difficulty lies in the fact that, for a recent applications with high-dimensional covariates, the number of…

Machine Learning · Statistics 2015-06-29 S. Suzumura , K. Nakagawa , K. Tsuda , I. Takeuchi

Algorithms for rare event complex systems simulations are proposed. Compressed Sensing (CS) has {\it revolutionized} our understanding of limits in signal recovery and has forced us to re-define Shannon-Nyquist sampling theorem for sparse…

Computational Physics · Physics 2018-04-27 Mehmet Süzen

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

Sampling from unnormalized densities using diffusion models has emerged as a powerful paradigm. However, while recent approaches that use least-squares `matching' objectives have improved scalability, they often necessitate significant…

Machine Learning · Computer Science 2026-03-03 Denis Blessing , Lorenz Richter , Julius Berner , Egor Malitskiy , Gerhard Neumann

The goal of this paper is to investigate the method outlined by one of us (PR) in Cherubini et al. (2009) to compute option prices. We name it the SINC approach. While the COS method by Fang and Osterlee (2009) leverages the Fourier-cosine…

Pricing of Securities · Quantitative Finance 2021-05-20 Fabio Baschetti , Giacomo Bormetti , Silvia Romagnoli , Pietro Rossi

In this article we develop a new sequential Monte Carlo (SMC) method for multilevel (ML) Monte Carlo estimation. In particular, the method can be used to estimate expectations with respect to a target probability distribution over an…

Computation · Statistics 2017-03-16 Alexandros Beskos , Ajay Jasra , Kody Law , Youssef Marzouk , Yan Zhou

Tensors have found application in a variety of fields, ranging from chemometrics to signal processing and beyond. In this paper, we consider the problem of multilinear modeling of sparse count data. Our goal is to develop a descriptive…

Numerical Analysis · Mathematics 2013-09-16 Eric C. Chi , Tamara G. Kolda

We propose a method for inferring the conditional indepen- dence graph (CIG) of a high-dimensional discrete-time Gaus- sian vector random process from finite-length observations. Our approach does not rely on a parametric model (such as,…

Machine Learning · Statistics 2014-03-11 Alexander Jung , Reinhard Heckel , Helmut Bölcskei , Franz Hlawatsch

Many inference problems involve inferring the number $N$ of components in some region, along with their properties $\{\mathbf{x}_i\}_{i=1}^N$, from a dataset $\mathcal{D}$. A common statistical example is finite mixture modelling. In the…

Computation · Statistics 2015-01-15 Brendon J. Brewer

The naive importance sampling (IS) estimator generally does not work well in examples involving simultaneous inference on several targets, as the importance weights can take arbitrarily large values, making the estimator highly unstable. In…

Methodology · Statistics 2022-04-20 Vivekananda Roy , Evangelos Evangelou

Ratios of normalizing constants for two distributions are needed in both Bayesian statistics, where they are used to compare models, and in statistical physics, where they correspond to differences in free energy. Two approaches have long…

Statistics Theory · Mathematics 2007-06-13 Radford M. Neal

With the rapid advancement of information technology and data collection systems, large-scale spatial panel data presents new methodological and computational challenges. This paper introduces a dynamic spatial panel quantile model that…

Econometrics · Economics 2025-06-10 Tomohiro Ando , Jushan Bai , Kunpeng Li , Yong Song

Iterated sampling importance resampling (i-SIR) is a Markov chain Monte Carlo (MCMC) algorithm which is based on $N$ independent proposals. As $N$ grows, its samples become nearly independent, but with an increased computational cost. We…

Computation · Statistics 2025-12-24 Pietari Laitinen , Matti Vihola