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While on some natural distributions, neural-networks are trained efficiently using gradient-based algorithms, it is known that learning them is computationally hard in the worst-case. To separate hard from easy to learn distributions, we…

Machine Learning · Computer Science 2020-01-22 Eran Malach , Shai Shalev-Shwartz

We study the problem of inferring network topology from information cascades, in which the amount of time taken for information to diffuse across an edge in the network follows an unknown distribution. Unlike previous studies, which assume…

Social and Information Networks · Computer Science 2019-03-05 Feng Ji , Wenchang Tang , Wee Peng Tay , Edwin K. P. Chong

The design of periodic nanostructures allows to tailor the transport of photons, phonons, and matter waves for specific applications. Recent years have seen a further expansion of this field by engineering topological properties. However,…

Mesoscale and Nanoscale Physics · Physics 2021-06-16 Vittorio Peano , Florian Sapper , Florian Marquardt

Network architecture design is very important for the optimization of industrial networks. The type of network architecture can be divided into small-scale network and large-scale network according to its scale. Graph theory is an efficient…

Social and Information Networks · Computer Science 2022-09-20 Chao Dong , Xiaoxiong Xiong , Qiulin Xue , Zhengzhen Zhang , Kai Niu , Ping Zhang

Deep learning (DL) algorithms have been widely applied to short-term voltage stability (STVS) assessment in power systems. However, transferring the knowledge learned in one power grid to other power grids with topology changes is still a…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Zijian Feng , Xin Chen , Zijian Lv , Peiyuan Sun , Kai Wu

Describing networks geometrically through low-dimensional latent metric spaces has helped design efficient learning algorithms, unveil network symmetries and study dynamical network processes. However, latent space embeddings are limited to…

Physics and Society · Physics 2023-04-10 Adam Gosztolai , Alexis Arnaudon

Transmission line failures in power systems propagate and cascade non-locally. This well-known yet counter-intuitive feature makes it even more challenging to optimally and reliably operate these complex networks. In this work we present a…

Optimization and Control · Mathematics 2021-05-12 Alessandro Zocca , Chen Liang , Linqi Guo , Steven H. Low , Adam Wierman

Biological transport networks are highly optimized structures that ensure power-efficient distribution of fluids across various domains, including animal vasculature and plant venation. Theoretically, these networks can be described as…

Biological Physics · Physics 2025-08-01 Albert Alonso , Lars Erik J. Skjegstad , Julius B. Kirkegaard

We investigate to what extent the degree sequence of a directed network constrains the number of driver nodes. We develop a pair of algorithms that take a directed degree sequence as input and aim to output a network with the maximum or…

Physics and Society · Physics 2020-03-24 Abdorasoul Ghasemi , Márton Pósfai , Raissa M. D'Souza

This paper considers a network of stochastic evidence accumulators, each represented by a drift-diffusion model accruing evidence towards a decision in continuous time by observing a noisy signal and by exchanging information with other…

Systems and Control · Computer Science 2012-10-17 Ioannis Poulakakis , Luca Scardovi , Naomi Ehrich Leonard

This paper envisions a new control architecture for the protective relay setting in future power distribution systems. With deepening penetration of distributed energy resources at the end users level, it has been recognized as a key…

Systems and Control · Electrical Eng. & Systems 2019-06-27 Dongqi Wu , Xiangtian Zheng , Dileep Kalathil , Le Xie

Accurate network topology information is critical for secure operation of smart power distribution systems. Line outages can change the operational topology of a distribution network. As a result, topology identification by detecting…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Ananth Narayan Samudrala , Hadi Amini M. , Soummya Kar , Rick Blum

For power grid operations, a large body of research focuses on using generation redispatching, load shedding or demand side management flexibilities. However, a less costly and potentially more flexible option would be grid topology…

Signal Processing · Electrical Eng. & Systems 2019-12-10 Antoine Marot , Benjamin Donnot , Camilo Romero , Luca Veyrin-Forrer , Marvin Lerousseau , Balthazar Donon , Isabelle Guyon

Various modifications of decision trees have been extensively used during the past years due to their high efficiency and interpretability. Tree node splitting based on relevant feature selection is a key step of decision tree learning, at…

Machine Learning · Computer Science 2017-09-05 Dmitry Ignatov , Andrey Ignatov

We introduce a flexible setup allowing for a neural network to learn both its size and topology during the course of a standard gradient-based training. The resulting network has the structure of a graph tailored to the particular learning…

Machine Learning · Computer Science 2020-07-16 Romuald A. Janik , Aleksandra Nowak

We present a new, systematic approach for analyzing network topologies. We first introduce the dK-series of probability distributions specifying all degree correlations within d-sized subgraphs of a given graph G. Increasing values of d…

Networking and Internet Architecture · Computer Science 2008-04-16 Priya Mahadevan , Dmitri Krioukov , Kevin Fall , Amin Vahdat

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

Structural information of phylogenetic tree topologies plays an important role in phylogenetic inference. However, finding appropriate topological structures for specific phylogenetic inference tasks often requires significant design effort…

Machine Learning · Statistics 2023-02-20 Cheng Zhang

This paper introduces Polynomial Graphical Lasso (PGL), a new approach to learning graph structures from nodal signals. Our key contribution lies in modeling the signals as Gaussian and stationary on the graph, enabling the development of a…

Signal Processing · Electrical Eng. & Systems 2024-04-04 Andrei Buciulea , Jiaxi Ying , Antonio G. Marques , Daniel P. Palomar

The graph identification problem consists of discovering the interactions among nodes in a network given their state/feature trajectories. This problem is challenging because the behavior of a node is coupled to all the other nodes by the…

Systems and Control · Electrical Eng. & Systems 2023-10-24 Eduardo Sebastian , Thai Duong , Nikolay Atanasov , Eduardo Montijano , Carlos Sagues
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