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Efficient brain simulation is a scientific grand challenge, a parallel/distributed coding challenge and a source of requirements and suggestions for future computing architectures. Indeed, the human brain includes about 10^15 synapses and…

We present a parallel-scalable method for simulating non-dilute suspensions of deformable particles immersed in Stokesian fluid in three dimensions. A critical component in these simulations is robust and accurate collision handling. This…

Numerical Analysis · Mathematics 2018-12-13 Libin Lu , Abtin Rahimian , Denis Zorin

Simulations of physical phenomena are essential to the expedient design of precision components in aerospace and other high-tech industries. These phenomena are often described by mathematical models involving partial differential equations…

Computational Physics · Physics 2017-01-05 Daniel Magee , Kyle E Niemeyer

Purpose -- RF circuits often possess a multi-rate behavior. Slow changing baseband signals and fast oscillating carrier signals often occur in the same circuit. Frequency modulated signals pose a particular challenge.…

Numerical Analysis · Mathematics 2016-04-26 Kai Bittner , Hans Georg Brachtendorf

We present an optimized conductance-based retina microcircuit simulator which transforms light stimuli into a series of graded and spiking action potentials through photo transduction. We use discrete retinal neuron blocks based on a…

Neurons and Cognition · Quantitative Biology 2020-01-16 Jason K. Eshraghian , Seungbum Baek , Wesley Thio , Yulia Sandamirskaya , Herbert H. C. Iu , Wei D. Lu

Complex systems are often decomposed into modular subsystems for engineering tractability. Although various equation based white-box modeling techniques make use of such structure, learning based methods have yet to incorporate these ideas…

Machine Learning · Computer Science 2022-10-31 Jayesh K. Gupta , Sai Vemprala , Ashish Kapoor

Diffusion models (DMs) have achieved state-of-the-art generative performance but suffer from high sampling latency due to their sequential denoising nature. Existing solver-based acceleration methods often face significant image quality…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Ruoyu Wang , Ziyu Li , Beier Zhu , Liangyu Yuan , Hanwang Zhang , Xun Yang , Xiaojun Chang , Chi Zhang

Neural Ordinary Differential Equations (ODE) are a promising approach to learn dynamic models from time-series data in science and engineering applications. This work aims at learning Neural ODE for stiff systems, which are usually raised…

Numerical Analysis · Mathematics 2021-10-04 Suyong Kim , Weiqi Ji , Sili Deng , Yingbo Ma , Christopher Rackauckas

To rapidly process temporal information at a low metabolic cost, biological neurons integrate inputs as an analog sum but communicate with spikes, binary events in time. Analog neuromorphic hardware uses the same principles to emulate…

Generic simulation code for spiking neuronal networks spends the major part of time in the phase where spikes have arrived at a compute node and need to be delivered to their target neurons. These spikes were emitted over the last interval…

Neurons and Cognition · Quantitative Biology 2022-03-14 Jari Pronold , Jakob Jordan , Brian J. N. Wylie , Itaru Kitayama , Markus Diesmann , Susanne Kunkel

We analyze a class of cell-bulk coupled PDE-ODE models, motivated by quorum and diffusion sensing phenomena in microbial systems, that characterize communication between localized spatially segregated dynamically active signaling…

Pattern Formation and Solitons · Physics 2020-07-20 Sarafa A. Iyaniwura , Michael J. Ward

The stringent memory and power constraints required in edge-computing sensory-processing applications have made event-driven neuromorphic systems a promising technology. On-chip online learning provides such systems the ability to learn the…

Emerging Technologies · Computer Science 2022-01-26 Matteo Cartiglia , Arianna Rubino , Shyam Narayanan , Charlotte Frenkel , Germain Haessig , Giacomo Indiveri , Melika Payvand

With the increasing development of neuromorphic platforms and their related software tools as well as the increasing scale of spiking neural network (SNN) models, there is a pressure for interoperable and scalable representations of network…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-13 Felix Wang

The time elapsed model describes the firing activity of an homogeneous assembly of neurons thanks to the distribution of times elapsed since the last discharge. It gives a mathematical description of the probability density of neurons…

Analysis of PDEs · Mathematics 2011-09-16 Khashayar Pakdaman , Benoît Perthame , Delphine Salort

The order/dimension of models derived on the basis of data is commonly restricted by the number of observations, or in the context of monitored systems, sensing nodes. This is particularly true for structural systems (e.g., civil or…

Machine Learning · Computer Science 2022-12-01 Zhilu Lai , Wei Liu , Xudong Jian , Kiran Bacsa , Limin Sun , Eleni Chatzi

In [1] is proposed a simplified DeC method, that, when combined with the residual distribution (RD) framework, allows to construct a high order, explicit FE scheme with continuous approximation avoiding the inversion of the mass matrix for…

Numerical Analysis · Mathematics 2022-11-17 Rémi Abgrall , Elise Le Mélédo , Philipp Öffner , Davide Torlo

Neural ordinary differential equations (NODE) have garnered significant attention for their design of continuous-depth neural networks and the ability to learn data/feature dynamics. However, for high-dimensional systems, estimating…

Machine Learning · Computer Science 2025-10-07 Muhao Guo , Haoran Li , Yang Weng

Depth estimation is an important computer vision task, useful in particular for navigation in autonomous vehicles, or for object manipulation in robotics. Here we solved it using an end-to-end neuromorphic approach, combining two…

Computer Vision and Pattern Recognition · Computer Science 2023-05-22 Ulysse Rançon , Javier Cuadrado-Anibarro , Benoit R. Cottereau , Timothée Masquelier

Objective. Spike sorting, a critical step in neural data processing, aims to classify spiking events from single electrode recordings based on different waveforms. This study aims to develop a novel online spike sorter, NeuSort, using…

Neural and Evolutionary Computing · Computer Science 2023-09-19 Hang Yu , Yu Qi , Gang Pan

A recent paradigm for decoding behavioral variables or stimuli from neuron ensembles relies on joint models for electrode spike trains and their waveforms, which, in principle, is more efficient than decoding from electrode spike trains…

Applications · Statistics 2018-08-07 Francesca Matano , Valérie Ventura