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We consider spectral methods that uncover hidden structures in directed networks. We establish and exploit connections between node reordering via (a) minimizing an objective function and (b) maximizing the likelihood of a random graph…

Social and Information Networks · Computer Science 2021-10-12 Xue Gong , Desmond John Higham , Konstantinos Zygalakis

As a classical problem in the field of complex networks, link prediction has attracted much attention from researchers, which is of great significance to help us understand the evolution and dynamic development mechanisms of networks.…

Physics and Society · Physics 2022-06-07 Jiating Yu , Ling-Yun Wu

In traditional topology optimization, the computing time required to iteratively update the material distribution within a design domain strongly depends on the complexity or size of the problem, limiting its application in real engineering…

Computational Engineering, Finance, and Science · Computer Science 2024-05-14 Gabriel Garayalde , Matteo Torzoni , Matteo Bruggi , Alberto Corigliano

Recent studies on transportation networks have shown that real-time route guidance can inadvertently induce congestion or oscillatory traffic patterns. Nevertheless, such technologies also offer a promising opportunity to manage traffic…

Systems and Control · Electrical Eng. & Systems 2026-01-21 Shaya Garjani , Ashish Cherukuri , Bayu Jayawardhana , Nima Monshizadeh

In this paper we quantify our limited information horizon, by measuring the information necessary to locate specific nodes in a network. To investigate different ways to overcome this horizon, and the interplay between communication and…

Disordered Systems and Neural Networks · Physics 2015-06-25 M. Rosvall , K. Sneppen

News recommendation systems personalize homepage content to boost engagement, but factors like content type, editorial stance, and geographic focus impact recommendations. Local newspapers balance coverage across regions, yet identifying…

Machine Learning · Computer Science 2025-02-21 Gali Katz , Hai Sitton , Guy Gonen , Yohay Kaplan

Using deep neural networks to predict the solutions of AC optimal power flow (ACOPF) problems has been an active direction of research. However, because the ACOPF is nonconvex, it is difficult to construct a good data set that contains…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Ling Zhang , Baosen Zhang

Lateral predictive coding is a recurrent neural network which creates energy-efficient internal representations by exploiting statistical regularity in sensory inputs. Here we investigate the trade-off between information robustness and…

Neurons and Cognition · Quantitative Biology 2024-06-17 Zhen-Ye Huang , Ruyi Zhou , Miao Huang , Hai-Jun Zhou

There is a clear need for efficient algorithms to tune hyperparameters for statistical learning schemes, since the commonly applied search methods (such as grid search with N-fold cross-validation) are inefficient and/or approximate.…

Machine Learning · Computer Science 2020-04-07 Luis Miguel Lopez-Ramos , Baltasar Beferull-Lozano

In order to minimize the impact of lane change (LC) maneuver on surrounding traffic environment, a hierarchical automatic LC algorithm that could realize local optimum has been proposed. This algorithm consists of a tactical layer planner…

Robotics · Computer Science 2021-08-13 Yang Li , Linbo Li , Daiheng Ni , Wenxuang Wang

Quantum many-body dynamics generically results in increasing entanglement that eventually leads to thermalization of local observables. This makes the exact description of the dynamics complex despite the apparent simplicity of…

Quantum Physics · Physics 2022-10-05 Thomas Klein Kvorning , Loïc Herviou , Jens H. Bardarson

Local geometric information, i.e. normal and distribution of points, is crucial for LiDAR-based simultaneous localization and mapping (SLAM) because it provides constraints for data association, which further determines the direction of…

Robotics · Computer Science 2023-10-12 Kai Huang , Junqiao Zhao , Zhongyang Zhu , Chen Ye , Tiantian Feng

The architecture of a neural network constrains the potential dynamics that can emerge. Some architectures may only allow for a single dynamic regime, while others display a great deal of flexibility with qualitatively different dynamics…

Combinatorics · Mathematics 2020-08-04 Carina Curto , Christopher Langdon , Katherine Morrison

Longitudinal omics data (LOD) analysis is essential for understanding the dynamics of biological processes and disease progression over time. This review explores various statistical and computational approaches for analyzing such data,…

Methodology · Statistics 2025-06-16 Ali R. Taheriyoun , Allen Ross , Abolfazl Safikhani , Damoon Soudbakhsh , Ali Rahnavard

A central task in analyzing complex dynamics is to determine the loci of information storage and the communication topology of information flows within a system. Over the last decade and a half, diagnostics for the latter have come to be…

Statistical Mechanics · Physics 2016-06-20 Ryan G. James , Nix Barnett , James P. Crutchfield

Chaos is omnipresent in nature, and its understanding provides enormous social and economic benefits. However, the unpredictability of chaotic systems is a textbook concept due to their sensitivity to initial conditions, aperiodic behavior,…

We investigate the ability of simple diagnostics based on Lagrangian descriptor (LD) computations of initially nearby orbits to detect chaos in conservative dynamical systems with phase space dimensionality higher than two. In particular,…

Earth and Planetary Astrophysics · Physics 2023-08-09 Sebastian Zimper , Arnold Ngapasare , Malcolm Hillebrand , Matthaios Katsanikas , Stephen R. Wiggins , Charalampos Skokos

We study the efficiency of search processes based on Levy flights (LFs) with power-law distributed jump lengths in the presence of an external drift. While LFs turn out to be efficient search processes when relative to the starting point…

Statistical Mechanics · Physics 2013-06-06 Vladimir V. Palyulin , Aleksei V. Chechkin , Ralf Metzler

We propose a new loss function that we call Laplacian loss, based on spatio-temporal Laplacian representation of the motion as a graph. This loss function is intended to be used in training models for motion reconstruction through 3D human…

Computer Vision and Pattern Recognition · Computer Science 2022-10-18 Mansour Tchenegnon , Sylvie Gibet , Thibaut Le Naour

Local search metaheuristics like tabu search or simulated annealing are popular heuristic optimization algorithms for finding near-optimal solutions for combinatorial optimization problems. However, it is still challenging for researchers…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Rubén Ruiz-Torrubiano