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Networked structures arise in a wide array of different contexts such as technological and transportation infrastructures, social phenomena, and biological systems. These highly interconnected systems have recently been the focus of a great…

Statistical Mechanics · Physics 2009-11-10 Alain Barrat , Marc Barthelemy , Romualdo Pastor-Satorras , Alessandro Vespignani

We study recursive-cube-of-rings (RCR), a class of scalable graphs that can potentially provide rich inter-connection network topology for the emerging distributed and parallel computing infrastructure. Through rigorous proof and validating…

Geometric Topology · Mathematics 2013-05-13 Kai Xie , Jing Li , Yumei Wang , Chau Yuen

Recurrent convolution (RC) shares the same convolutional kernels and unrolls them multiple steps, which is originally proposed to model time-space signals. We argue that RC can be viewed as a model compression strategy for deep…

Computer Vision and Pattern Recognition · Computer Science 2019-02-27 Zhendong Zhang , Cheolkon Jung

With a core-periphery structure of networks, core nodes are densely interconnected, peripheral nodes are connected to core nodes to different extents, and peripheral nodes are sparsely interconnected. Core-periphery structure composed of a…

Physics and Society · Physics 2017-11-23 Sadamori Kojaku , Naoki Masuda

Tremendous progress has been made in sequential processing with the recent advances in recurrent neural networks. However, recurrent architectures face the challenge of exploding/vanishing gradients during training, and require significant…

Neural and Evolutionary Computing · Computer Science 2021-10-13 Bing Han , Cheng Wang , Kaushik Roy

Adaptive networks are a novel class of dynamical networks whose topologies and states coevolve. Many real-world complex systems can be modeled as adaptive networks, including social networks, transportation networks, neural networks and…

Social and Information Networks · Computer Science 2017-05-29 Hiroki Sayama , Irene Pestov , Jeffrey Schmidt , Benjamin James Bush , Chun Wong , Junichi Yamanoi , Thilo Gross

The forest-of-octrees approach to parallel adaptive mesh refinement and coarsening (AMR) has recently been demonstrated in the context of a number of large-scale PDE-based applications. Although linear octrees, which store only leaf…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-11-05 Tobin Isaac , Carsten Burstedde , Lucas C. Wilcox , Omar Ghattas

Multiplex networks are collections of networks with identical nodes but distinct layers of edges. They are genuine representations for a large variety of real systems whose elements interact in multiple fashions or flavors. However,…

Physics and Society · Physics 2024-02-27 Daniel Kaiser , Siddharth Patwardhan , Minsuk Kim , Filippo Radicchi

Sustainable research on computational models of neuronal networks requires published models to be understandable, reproducible, and extendable. Missing details or ambiguities about mathematical concepts and assumptions, algorithmic…

Optical approaches have made great strides towards the goal of high-speed, energy-efficient computing necessary for modern deep learning and AI applications. Read-in and read-out of data, however, limit the overall performance of existing…

Emerging Technologies · Computer Science 2024-02-06 Alexander Song , Sai Nikhilesh Murty Kottapalli , Rahul Goyal , Bernhard Schölkopf , Peer Fischer

Recently, deep residual networks have been successfully applied in many computer vision and natural language processing tasks, pushing the state-of-the-art performance with deeper and wider architectures. In this work, we interpret deep…

Computer Vision and Pattern Recognition · Computer Science 2017-11-21 Bo Chang , Lili Meng , Eldad Haber , Lars Ruthotto , David Begert , Elliot Holtham

Neural networks have been widely used, and most networks achieve excellent performance by stacking certain types of basic units. Compared to increasing the depth and width of the network, designing more effective basic units has become an…

Machine Learning · Computer Science 2020-06-05 Junyi An , Fengshan Liu , Jian Zhao , Furao Shen

Network science has traditionally examined how structure determines dynamics. Here we invert this paradigm: we ask how functional dynamics and resource constraints shape network architecture. We introduce GradNet, an AI-enabled optimization…

Physics and Society · Physics 2026-03-11 Guram Mikaberidze , Beso Mikaberidze , Dane Taylor

Recursive or looped language models have recently emerged as a new scaling axis by iteratively refining the same model computation over latent states to deepen reasoning. We extend such scaling principle from a single model to multi-agent…

Artificial Intelligence · Computer Science 2026-04-29 Xiyuan Yang , Jiaru Zou , Rui Pan , Ruizhong Qiu , Pan Lu , Shizhe Diao , Jindong Jiang , Hanghang Tong , Tong Zhang , Markus J. Buehler , Jingrui He , James Zou

The increasing penetration of intermittent distributed energy resources in power networks calls for novel planning and control methodologies which hinge on detailed knowledge of the grid. However, reliable information concerning the system…

Systems and Control · Electrical Eng. & Systems 2021-09-21 Emanuele Fabbiani , Pulkit Nahata , Giuseppe De Nicolao , Giancarlo Ferrari-Trecate

In this paper, the branches of recursive and recurrent neural networks are classified in detail according to the network structure, training objective function and learning algorithm implementation. They are roughly divided into three…

Neural and Evolutionary Computing · Computer Science 2025-10-22 Jian-wei Liu , Bing-rong Xu , Zhi-yan Song

This paper presents OptNet, a network architecture that integrates optimization problems (here, specifically in the form of quadratic programs) as individual layers in larger end-to-end trainable deep networks. These layers encode…

Machine Learning · Computer Science 2021-12-03 Brandon Amos , J. Zico Kolter

Nowadays distributed computing approach has become very popular due to several advantages over the centralized computing approach as it also offers high performance computing at a very low cost. Each router implements some queuing mechanism…

Networking and Internet Architecture · Computer Science 2019-10-10 Taskeen Zaidi , Nitya Nand Dwivedi

Task-based modeling with recurrent neural networks (RNNs) has emerged as a popular way to infer the computational function of different brain regions. These models are quantitatively assessed by comparing the low-dimensional neural…

Neurons and Cognition · Quantitative Biology 2019-12-06 Niru Maheswaranathan , Alex H. Williams , Matthew D. Golub , Surya Ganguli , David Sussillo

The robustness of connectivity and the efficiency of paths are incompatible in many real networks. We propose a self-organization mechanism for incrementally generating onion-like networks with positive degree-degree correlations whose…

Physics and Society · Physics 2016-05-09 Yukio Hayashi