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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…

机器学习 · 统计学 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…

最优化与控制 · 数学 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…

网络与互联网体系结构 · 计算机科学 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…

机器学习 · 计算机科学 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…

统计金融 · 定量金融 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,…

最优化与控制 · 数学 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…

最优化与控制 · 数学 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…

系统与控制 · 电气工程与系统科学 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…

神经与进化计算 · 计算机科学 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…

系统与控制 · 计算机科学 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…

社会与信息网络 · 计算机科学 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…

物理与社会 · 物理学 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…

统计方法学 · 统计学 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…

数值分析 · 数学 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…

计算工程、金融与科学 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

最优化与控制 · 数学 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…

计算机科学中的逻辑 · 计算机科学 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…

数值分析 · 数学 2024-06-05 Martin Burger , Samira Kabri