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Recurrent neural networks (RNNs) have been used extensively and with increasing success to model various types of sequential data. Much of this progress has been achieved through devising recurrent units and architectures with the…

Machine Learning · Statistics 2017-03-06 Yacine Jernite , Edouard Grave , Armand Joulin , Tomas Mikolov

We formulate a general mathematical framework for self-tuning network control architecture design. This problem involves jointly adapting the locations of active sensors and actuators in the network and the feedback control policy to all…

Optimization and Control · Mathematics 2023-01-18 Tyler Summers , Karthik Ganapathy , Iman Shames , Mathias Hudoba de Badyn

Generalizing machine learning (ML) models for network traffic dynamics tends to be considered a lost cause. Hence for every new task, we design new models and train them on model-specific datasets closely mimicking the deployment…

Networking and Internet Architecture · Computer Science 2022-10-25 Alexander Dietmüller , Siddhant Ray , Romain Jacob , Laurent Vanbever

In this work we explore a straightforward variational Bayes scheme for Recurrent Neural Networks. Firstly, we show that a simple adaptation of truncated backpropagation through time can yield good quality uncertainty estimates and superior…

Machine Learning · Computer Science 2019-05-13 Meire Fortunato , Charles Blundell , Oriol Vinyals

This paper introduces one new multivariate volatility model that can accommodate an appropriately defined network structure based on low-frequency and high-frequency data. The model reduces the number of unknown parameters and the…

Statistical Finance · Quantitative Finance 2022-04-28 Huiling Yuan , Guodong Li , Junhui Wang

Networks constructed out of resistors, inductors, capacitors and transformers form a compelling subclass of simple models. Models constructed out of these basic elements are frequently used to explain phenomena in large-scale applications,…

Optimization and Control · Mathematics 2024-10-28 Richard Pates

Matrix regression plays an important role in modern data analysis due to its ability to handle complex relationships involving both matrix and vector variables. We propose a class of regularized regression models capable of predicting both…

Optimization and Control · Mathematics 2025-01-14 Meixia Lin , Ziyang Zeng , Yangjing Zhang

In this paper, we study the problem of parameter estimation in a sensor network, where the measurements and updates of some sensors might be arbitrarily manipulated by adversaries. Despite the presence of such misbehaviors, normally…

Systems and Control · Electrical Eng. & Systems 2023-06-06 Jiaqi Yan , Kuo Li , Hideaki Ishii

Much of the recent research on solving iterative inference problems focuses on moving away from hand-chosen inference algorithms and towards learned inference. In the latter, the inference process is unrolled in time and interpreted as a…

Neural and Evolutionary Computing · Computer Science 2017-06-14 Patrick Putzky , Max Welling

This paper studies the estimation of network weights for a class of systems with binary-valued observations. In these systems only quantized observations are available for the network estimation. Furthermore, system states are coupled with…

Systems and Control · Computer Science 2019-03-19 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

Spreading processes are often modelled as a stochastic dynamics occurring on top of a given network with edge weights corresponding to the transmission probabilities. Knowledge of veracious transmission probabilities is essential for…

Social and Information Networks · Computer Science 2016-09-01 Andrey Y. Lokhov

The geometric renormalization technique for complex networks has successfully revealed the multiscale self-similarity of real network topologies and can be applied to generate replicas at different length scales. In this letter, we extend…

Physics and Society · Physics 2023-07-04 Muhua Zheng , Guillermo García-Pérez , Marián Boguñá , M. Ángeles Serrano

The network data has attracted considerable attention in modern statistics. In research on complex network data, one key issue is finding its underlying connection structure given a network sample. The methods that have been proposed in…

Methodology · Statistics 2024-08-09 Kang Fu , Jianwei Hu , Seydou Keita

Variational regularization of ill-posed inverse problems is based on minimizing the sum of a data fidelity term and a regularization term. The balance between them is tuned using a positive regularization parameter, whose automatic choice…

Numerical Analysis · Mathematics 2025-11-12 Markus Juvonen , Bjørn Jensen , Ilmari Pohjola , Yiqiu Dong , Samuli Siltanen

The behaviour of gene regulatory networks (GRNs) is typically analysed using simulation-based statistical testing-like methods. In this paper, we demonstrate that we can replace this approach by a formal verification-like method that gives…

Computational Engineering, Finance, and Science · Computer Science 2015-01-19 Mirco Giacobbe , Calin C. Guet , Ashutosh Gupta , Thomas A. Henzinger , Tiago Paixao , Tatjana Petrov

Network reconstruction is the task of inferring the unseen interactions between elements of a system, based only on their behavior or dynamics. This inverse problem is in general ill-posed, and admits many solutions for the same…

Machine Learning · Statistics 2025-03-12 Tiago P. Peixoto

A recent work by Ramanujan et al. (2020) provides significant empirical evidence that sufficiently overparameterized, random neural networks contain untrained subnetworks that achieve state-of-the-art accuracy on several predictive tasks. A…

Machine Learning · Computer Science 2021-10-26 Kartik Sreenivasan , Shashank Rajput , Jy-yong Sohn , Dimitris Papailiopoulos

This review provides an introduction to - and overview of - the current state of the art in neural-network based regularization methods for inverse problems in imaging. It aims to introduce readers with a solid knowledge in applied…

Optimization and Control · Mathematics 2023-12-25 Andreas Habring , Martin Holler

We introduce a new class of graph transformation systems in which rewrite rules can be guarded by universally quantified conditions on the neighbourhood of nodes. These conditions are defined via special graph patterns which may be…

Logic in Computer Science · Computer Science 2014-07-21 Giorgio Delzanno , Jan Stückrath

In this chapter we provide a theoretically founded investigation of state-of-the-art learning approaches for inverse problems from the point of view of spectral reconstruction operators. We give an extended definition of regularization…

Numerical Analysis · Mathematics 2024-06-05 Martin Burger , Samira Kabri