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Predicting epidemic dynamics is of great value in understanding and controlling diffusion processes, such as infectious disease spread and information propagation. This task is intractable, especially when surveillance resources are very…

Machine Learning · Statistics 2017-12-04 Hongbin Pei , Bo Yang , Jiming Liu , Lei Dong

Sparse deep neural networks have proven to be efficient for predictive model building in large-scale studies. Although several works have studied theoretical and numerical properties of sparse neural architectures, they have primarily…

Machine Learning · Statistics 2023-09-18 Sanket Jantre , Shrijita Bhattacharya , Tapabrata Maiti

This study addresses the challenge of predicting network dynamics, such as forecasting disease spread in social networks or estimating species populations in predator-prey networks. Accurate predictions in large networks are difficult due…

Social and Information Networks · Computer Science 2023-08-23 Rui Luo

Understanding how stochastic gene expression is regulated in biological systems using snapshots of single-cell transcripts requires state-of-the-art methods of computational analysis and statistical inference. A Bayesian approach to…

Quantitative Methods · Quantitative Biology 2018-12-10 Yen Ting Lin , Nicolas E. Buchler

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

Methodology · Statistics 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Bayesian inference in deep neural networks is challenging due to the high-dimensional, strongly multi-modal parameter posterior density landscape. Markov chain Monte Carlo approaches asymptotically recover the true posterior but are…

Network inference approaches are widely used to shed light on regulatory interplay between molecular players such as genes and proteins. Biochemical processes underlying networks of interest (e.g. gene regulatory or protein signalling…

Applications · Statistics 2014-06-03 Chris J Oates , Bryan T Hennessy , Yiling Lu , Gordon B Mills , Sach Mukherjee

In order to identify a system (module) embedded in a dynamic network, one has to formulate a multiple-input estimation problem that necessitates certain nodes to be measured and included as predictor inputs. However, some of these nodes may…

Systems and Control · Electrical Eng. & Systems 2022-08-24 Karthik R. Ramaswamy , Giulio Bottegal , Paul M. J. Van den Hof

Reconstruction of a high-dimensional network may benefit substantially from the inclusion of prior knowledge on the network topology. In the case of gene interaction networks such knowledge may come for instance from pathway repositories…

Inferring the structure and dynamics of network models is critical to understanding the functionality and control of complex systems, such as metabolic and regulatory biological networks. The increasing quality and quantity of experimental…

Dynamical Systems · Mathematics 2016-05-27 Niall M. Mangan , Steven L. Brunton , Joshua L. Proctor , J. Nathan Kutz

We develop a variational Bayesian (VB) approach for estimating large-scale dynamic network models in the network autoregression framework. The VB approach allows for the automatic identification of the dynamic structure of such a model and…

Methodology · Statistics 2021-02-19 Wei-Ting Lai , Ray-Bing Chen , Ying Chen , Thorsten Koch

Graphical modelling techniques based on sparse selection have been applied to infer complex networks in many fields, including biology and medicine, engineering, finance, and social sciences. One structural feature of some of the networks…

Statistics Theory · Mathematics 2020-03-03 Annaliza McGillivray , Abbas Khalili , David A. Stephens

Recent technological advances have made it possible to simultaneously measure multiple protein activities at the single cell level. With such data collected under different stimulatory or inhibitory conditions, it is possible to infer the…

Applications · Statistics 2011-08-04 Ruiyan Luo , Hongyu Zhao

We propose a new method to recover global information about a network of interconnected dynamical systems based on observations made at a small number (possibly one) of its nodes. In contrast to classical identification of full graph…

Dynamical Systems · Mathematics 2016-10-18 A. Mauroy , J. Hendrickx

Network estimation and variable selection have been extensively studied in the statistical literature, but only recently have those two challenges been addressed simultaneously. In this paper, we seek to develop a novel method to…

Methodology · Statistics 2024-06-11 Nathan Osborne , Christine B. Peterson , Marina Vannucci

Monte Carlo sampling has become a major vehicle for approximate inference in Bayesian networks. In this paper, we investigate a family of related simulation approaches, known collectively as quasi-Monte Carlo methods based on deterministic…

Artificial Intelligence · Computer Science 2013-01-18 Jian Cheng , Marek J. Druzdzel

A principled approach to characterize the hidden structure of networks is to formulate generative models, and then infer their parameters from data. When the desired structure is composed of modules or "communities", a suitable choice for…

Data Analysis, Statistics and Probability · Physics 2018-08-23 Tiago P. Peixoto

In this contribution, we propose a kernel-based method for the identification of linear systems from noisy and incomplete input-output datasets. We model the impulse response of the system as a Gaussian process whose covariance matrix is…

Systems and Control · Computer Science 2017-01-18 Riccardo Sven Risuleo , Giulio Bottegal , Håkan Hjalmarsson

We present a framework for bridging the gap between sensor attack detection and recovery in cyber-physical systems. The proposed framework models modern-day, complex perception pipelines as bipartite graphs, which combined with anomaly…

Machine Learning · Computer Science 2026-04-14 Axel Andersson , György Dán

The quantitative formulation of evolution equations is the backbone for prediction, control, and understanding of dynamical systems across diverse scientific fields. Besides deriving differential equations for dynamical systems based on…

Data Analysis, Statistics and Probability · Physics 2025-01-06 Tim W. Kroll , Oliver Kamps