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This chapter reviews four notions of system structure, three of which are contextual and classic (i.e. the complete computational structure linked to a state space model, the sparsity pattern of a transfer function, and the interconnection…

Systems and Control · Computer Science 2014-06-10 Vasu Chetty , Sean Warnick

We present a multiscale simulation framework to compute the current vs. voltage (I-V ) characteristics of metal/oxide/metal structures building the core of conductive bridging random access memory (CBRAM) cells and to shed light on their…

Flexibility at hardware level is the main driving force behind adaptive systems whose aim is to realise microarhitecture deconfiguration 'online'. This feature allows the software/hardware stack to tolerate drastic changes of the workload…

Hardware Architecture · Computer Science 2016-12-28 Ana Lava , Mahdi Jelodari Mamaghani , Siamak Mohammadi , Steve Furber

We present an adjoint sensitivity method for hybrid discrete -- continuous systems, extending previously published forward sensitivity methods. We treat ordinary differential equations and differential-algebraic equations of index up to two…

Optimization and Control · Mathematics 2019-04-19 Radu Serban , Antonio Recuero

As artificial intelligence models have exploded in scale and capability, understanding of their internal mechanisms remains a critical challenge. Inspired by the success of dynamical systems approaches in neuroscience, here we propose a…

Artificial Intelligence · Computer Science 2025-02-18 Jesseba Fernando , Grigori Guitchounts

We study general linear transport-reaction systems on an arbitrary dimensional hypercube with periodic boundary conditions. Transport-reaction systems are often used to model the finite speed movement and interaction of particles, bacteria…

Analysis of PDEs · Mathematics 2022-10-04 Benedikt Geiger

Deep Markov models (DMM) are generative models that are scalable and expressive generalization of Markov models for representation, learning, and inference problems. However, the fundamental stochastic stability guarantees of such models…

Machine Learning · Computer Science 2021-11-09 Ján Drgoňa , Sayak Mukherjee , Jiaxin Zhang , Frank Liu , Mahantesh Halappanavar

Data-driven modeling approaches such as jump tables are promising techniques to model populations of resistive random-access memory (ReRAM) or other emerging memory devices for hardware neural network simulations. As these tables rely on…

Emerging Technologies · Computer Science 2024-04-30 Osama Yousuf , Imtiaz Hossen , Matthew W. Daniels , Martin Lueker-Boden , Andrew Dienstfrey , Gina C. Adam

Recurrent neural networks with a gating mechanism such as an LSTM or GRU are powerful tools to model sequential data. In the mechanism, a forget gate, which was introduced to control information flow in a hidden state in the RNN, has…

Machine Learning · Statistics 2021-11-08 Kentaro Ohno , Atsutoshi Kumagai

There has been great interest in recent years on statistical models for dynamic networks. In this paper, I propose a stochastic block transition model (SBTM) for dynamic networks that is inspired by the well-known stochastic block model…

Social and Information Networks · Computer Science 2016-07-11 Kevin S. Xu

This paper introduces the concept of Deep Reinforcement Learning based architecture for protective relay design in power distribution systems with many distributed energy resources (DERs). The performance of widely-used overcurrent…

Systems and Control · Electrical Eng. & Systems 2021-06-03 Dongqi Wu , Dileep Kalathil , Miroslav Begovic , Le Xie

In this paper, we evaluate the use of a trained Long Short-Term Memory (LSTM) network as a surrogate for a Euler-Bernoulli beam model, and then we describe and characterize an FPGA-based deployment of the model for use in real-time…

Hardware Architecture · Computer Science 2023-09-06 Ehsan Kabir , Daniel Coble , Joud N. Satme , Austin R. J. Downey , Jason D. Bakos , David Andrews , Miaoqing Huang

The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

Dynamical Systems · Mathematics 2007-05-23 Vitor Araujo

We present a computationally inexpensive yet accurate phenomenological model of memristive behavior in titanium dioxide devices by fitting experimental data. By design, the model predicts most accurately I-V relation at small non-disturbing…

Materials Science · Physics 2015-06-22 Farnood Merrikh-Bayat , Brian Hoskins , Dmitri B. Strukov

This paper introduces a novel approach for modelling time-varying connectivity in neuroimaging data, focusing on the slow fluctuations in synaptic efficacy that mediate neuronal dynamics. Building on the framework of Dynamic Causal…

Neurons and Cognition · Quantitative Biology 2024-12-05 Johan Medrano , Karl J. Friston , Peter Zeidman

Memristor devices are crucial for developing neuromorphic computers and next-generation memory technologies. In this work, we provide a comprehensive modelling tool for simulating static DC reading operations of memristor crossbar arrays…

Neural and Evolutionary Computing · Computer Science 2019-10-23 Yasir J Noori , C H de Groot

An overview of dynamical systems in accelerator physics is presented with a suggestion of a few issues to be addressed. Also mentioned are a few possible developments in the future. Technical details supporting the views are not presented.

Accelerator Physics · Physics 2020-06-26 Alex Chao

Dense associative memory, a fundamental instance of modern Hopfield networks, can store a large number of memory patterns as equilibrium states of recurrent networks. While the stationary-state storage capacity has been investigated, its…

Disordered Systems and Neural Networks · Physics 2025-10-29 Kazushi Mimura , Jun'ichi Takeuchi , Yuto Sumikawa , Yoshiyuki Kabashima , Anthony C. C. Coolen

Resistance switching devices are of special importance because of their application in resistive memories (RRAM) which are promising candidates for replacing current nonvolatile memories and realize storage class memories. These devices…

The dominant modeling framework for understanding cortical computations are heuristic firing rate models. Despite their success, these models fall short to capture spike synchronization effects, to link to biophysical parameters and to…

Neurons and Cognition · Quantitative Biology 2019-09-24 Tilo Schwalger , Anton V. Chizhov
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