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The firing dynamics of biological neurons in mathematical models is often determined by the model's parameters, representing the neurons' underlying properties. The parameter estimation problem seeks to recover those parameters of a single…

Neurons and Cognition · Quantitative Biology 2022-10-05 Long Le , Yao Li

Simulation speed matters for neuroscientific research: this includes not only how quickly the simulated model time of a large-scale spiking neuronal network progresses, but also how long it takes to instantiate the network model in computer…

Identifying complex neural circuitry from electron microscopic (EM) images may help unlock the mysteries of the brain. However, identifying this circuitry requires time-consuming, manual tracing (proofreading) due to the size and intricacy…

Quantitative Methods · Quantitative Biology 2014-09-04 Stephen M. Plaza

In the wake of the explosive growth in smartphones and cyberphysical systems, there has been an accelerating shift in how data is generated away from centralised data towards on-device generated data. In response, machine learning…

Machine Learning · Computer Science 2021-12-09 Ross Drummond , Mathew C. Turner , Stephen R. Duncan

Projection-based model reduction has become a popular approach to reduce the cost associated with integrating large-scale dynamical systems so they can be used in many-query settings such as optimization and uncertainty quantification. For…

Numerical Analysis · Mathematics 2020-08-26 Han Gao , Jian-Xun Wang , Matthew J. Zahr

How do neural network image classifiers respond to simpler and simpler inputs? And what do such responses reveal about the learning process? To answer these questions, we need a clear measure of input simplicity (or inversely, complexity),…

Machine Learning · Computer Science 2022-02-02 Robin Tibor Schirrmeister , Rosanne Liu , Sara Hooker , Tonio Ball

Deep neural network (DNN) verification is an emerging field, with diverse verification engines quickly becoming available. Demonstrating the effectiveness of these engines on real-world DNNs is an important step towards their wider…

Logic in Computer Science · Computer Science 2020-08-11 Sumathi Gokulanathan , Alexander Feldsher , Adi Malca , Clark Barrett , Guy Katz

The detailed functioning of the human brain is still poorly understood. Brain simulations are a well-established way to complement experimental research, but must contend with the computational demands of the approximately $10^{11}$ neurons…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-01 Fabian Czappa , Marvin Kaster , Felix Wolf

A neuron is a basic physiological and computational unit of the brain. While much is known about the physiological properties of a neuron, its computational role is poorly understood. Here we propose to view a neuron as a signal processing…

Neurons and Cognition · Quantitative Biology 2014-05-14 Tao Hu , Zaid J. Towfic , Cengiz Pehlevan , Alex Genkin , Dmitri B. Chklovskii

Recurrent neural networks are powerful tools for understanding and modeling computation and representation by populations of neurons. Continuous-variable or "rate" model networks have been analyzed and applied extensively for these…

Neurons and Cognition · Quantitative Biology 2016-01-29 Brian DePasquale , Mark M. Churchland , L. F. Abbott

This paper investigates the controllability of a broad class of recurrent neural networks widely used in theoretical neuroscience, including models of large-scale human brain dynamics. Motivated by emerging applications in non-invasive…

Optimization and Control · Mathematics 2025-09-29 Cyprien Tamekue , Ruiqi Chen , ShiNung Ching

This paper derives predictive reduced-order models for rocket engine combustion dynamics via Operator Inference, a scientific machine learning approach that blends data-driven learning with physics-based modeling. The non-intrusive nature…

Computational Engineering, Finance, and Science · Computer Science 2021-10-19 Shane A. McQuarrie , Cheng Huang , Karen E. Willcox

Current deep learning-based approaches for the segmentation of microscopy images heavily rely on large amount of training data with dense annotation, which is highly costly and laborious in practice. Compared to full annotation where the…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Shijie Li , Mengwei Ren , Thomas Ach , Guido Gerig

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

A recent publication provides the network graph for a neocortical microcircuit comprising 8 million connections between 31,000 neurons (H. Markram, et al., Reconstruction and simulation of neocortical microcircuitry, Cell, 163 (2015) no. 2,…

Neurons and Cognition · Quantitative Biology 2017-06-13 Pawe Dotko , Kathryn Hess , Ran Levi , Max Nolte , Michael Reimann , Martina Scolamiero , Katharine Turner , Eilif Muller , Henry Markram

Producing connectomes from electron microscopy (EM) images has historically required a great deal of human proofreading effort. This manual annotation cost is the current bottleneck in scaling EM connectomics, for example, in making larger…

Computer Vision and Pattern Recognition · Computer Science 2025-10-01 Gary B Huang , William M Katz , Stuart Berg , Louis Scheffer

A neural network system in an animal brain contains many modules and generates adaptive behavior by integrating the outputs from the modules. The mathematical modeling of such large systems to elucidate the mechanism of rapidly finding…

Adaptation and Self-Organizing Systems · Physics 2019-12-24 Kei-Ichi Ueda

Mini-batch sub-sampling in neural network training is unavoidable, due to growing data demands, memory-limited computational resources such as graphical processing units (GPUs), and the dynamics of on-line learning. In this study we…

Machine Learning · Statistics 2020-04-07 Dominic Kafka , Daniel Wilke

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

This paper describes a new model for an artificial neural network processing unit or neuron. It is slightly different to a traditional feedforward network by the fact that it favours a mechanism of trying to match the wave-like 'shape' of…

Neural and Evolutionary Computing · Computer Science 2014-03-06 Kieran Greer
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