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Network reliability is the probability that a dynamical system composed of discrete elements interacting on a network will be found in a configuration that satisfies a particular property. We introduce a new reliability property, Ising…

Statistical Mechanics · Physics 2016-11-23 Yihui Ren , Stephen Eubank , Madhurima Nath

We consider multi-commodity network design models, where capacity can be added to the arcs of the network using multiples of facilities that may have different capacities. This class of mixed-integer optimization models appears frequently…

Optimization and Control · Mathematics 2020-06-30 Alper Atamturk , Oktay Gunluk

We consider the problem of single link failure in an elastic optical network, (also known as flex-grid WDM network). The task is to reroute optical connections that go through the broken link using free capacity of other links of the…

Networking and Internet Architecture · Computer Science 2024-06-17 Alexander Rubtsov , Bruno Bauwens , Dmitri Shmelkin , Elizaveta Rudenko , Alexey Lavrov

Optimization problems over dynamic networks have been extensively studied and widely used in the past decades to formulate numerous real-world problems. However, (1) traditional optimization-based approaches do not scale to large networks,…

Machine Learning · Computer Science 2023-05-17 Daniele Gammelli , James Harrison , Kaidi Yang , Marco Pavone , Filipe Rodrigues , Francisco C. Pereira

Optimal decision-making is key to efficient allocation and scheduling of repair resources (e.g., crews) to service affected nodes of large power grid networks. Traditional manual restoration methods are inadequate for modern smart grids…

Optimization and Control · Mathematics 2024-04-23 Harshal D. Kaushik , Roshni Anna Jacob , Souma Chowdhury , Jie Zhang

A complex multi-state redundant system undergoing preventive maintenance and experiencing multiple events is being considered in a continuous time frame. The online unit is susceptible to various types of failures, both internal and…

Methodology · Statistics 2025-01-13 Juan Eloy Ruiz-Castro , Hugo Alaín Zapata-Ceballos

Robustness is key to engineering, automation, and science as a whole. However, the property of robustness is often underpinned by costly requirements such as over-provisioning, known uncertainty and predictive models, and known adversaries.…

Robotics · Computer Science 2021-09-28 Amanda Prorok , Matthew Malencia , Luca Carlone , Gaurav S. Sukhatme , Brian M. Sadler , Vijay Kumar

This paper presents a method for adding multiple tasks to a single deep neural network while avoiding catastrophic forgetting. Inspired by network pruning techniques, we exploit redundancies in large deep networks to free up parameters that…

Computer Vision and Pattern Recognition · Computer Science 2018-05-15 Arun Mallya , Svetlana Lazebnik

Modern pre-trained transformers have rapidly advanced the state-of-the-art in machine learning, but have also grown in parameters and computational complexity, making them increasingly difficult to deploy in resource-constrained…

Machine Learning · Computer Science 2022-10-04 Zechun Liu , Barlas Oguz , Aasish Pappu , Lin Xiao , Scott Yih , Meng Li , Raghuraman Krishnamoorthi , Yashar Mehdad

Deep learning has emerged as an effective approach for creating modern software systems, with neural networks often surpassing hand-crafted systems. Unfortunately, neural networks are known to suffer from various safety and security issues.…

Machine Learning · Computer Science 2021-01-19 Guy Amir , Haoze Wu , Clark Barrett , Guy Katz

When a major outage occurs on a distribution system due to extreme events, microgrids, distributed generators, and other local resources can be used to restore critical loads and enhance resiliency. This paper proposes a decision-making…

Optimization and Control · Mathematics 2019-01-16 Ying Wang , Yin Xu , Jinghan He , Chen-Ching Liu , Kevin P. Schneider , Mingguo Hong , Dan T. Ton

Machine learning promises methods that generalize well from finite labeled data. However, the brittleness of existing neural net approaches is revealed by notable failures, such as the existence of adversarial examples that are…

Bayesian Additive Regression Trees (BART) is a tree-based machine learning method that has been successfully applied to regression and classification problems. BART assumes regularisation priors on a set of trees that work as weak learners…

Machine Learning · Statistics 2022-06-07 Estevão B. Prado , Rafael A. Moral , Andrew C. Parnell

In this work, a single-unit multi-state system is considered. The system is subject to internal failures, as well as external shocks with multiple consequences. It also incorporates a preventive maintenance strategy and a Bernoulli vacation…

Methodology · Statistics 2025-10-14 Juan Eloy Ruiz-Castro , Hugo Alaín Zapata-Ceballos

As communication networks are growing at a fast pace, the need for more scalable approaches to operate such networks is pressing. Decentralization and locality are key concepts to provide scalability. Existing models for which local…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-04 Klaus-Tycho Foerster , Juho Hirvonen , Stefan Schmid , Jukka Suomela

Network reconstruction is fundamental to understanding the dynamical behaviors of the networked systems. Many systems, modeled by multiplex networks with various types of interactions, display an entirely different dynamical behavior…

Physics and Society · Physics 2020-01-28 Mincheng Wu , Jiming Chen , Shibo He , Youxian Sun , Shlomo Havlin , Jianxi Gao

The response of complex networks to perturbations is of utmost importance in areas as diverse as ecosystem management, emergency response, and cell reprogramming. A fundamental property of networks is that the perturbation of one node can…

Molecular Networks · Quantitative Biology 2011-05-20 Sean P. Cornelius , William L. Kath , Adilson E. Motter

We investigate the problem of scheduling the maintenance of edges in a network, motivated by the goal of minimizing outages in transportation or telecommunication networks. We focus on maintaining connectivity between two nodes over time;…

Data Structures and Algorithms · Computer Science 2017-02-01 Fidaa Abed , Lin Chen , Yann Disser , Martin Groß , Nicole Megow , Julie Meißner , Alexander T. Richter , Roman Rischke

We develop a Bayesian "sum-of-trees" model where each tree is constrained by a regularization prior to be a weak learner, and fitting and inference are accomplished via an iterative Bayesian backfitting MCMC algorithm that generates samples…

Methodology · Statistics 2010-10-08 Hugh A. Chipman , Edward I. George , Robert E. McCulloch

This work studies approximation based on single-hidden-layer feedforward and recurrent neural networks with randomly generated internal weights. These methods, in which only the last layer of weights and a few hyperparameters are optimized,…

Probability · Mathematics 2021-02-17 Lukas Gonon , Lyudmila Grigoryeva , Juan-Pablo Ortega