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Individual locations of many neuronal cell bodies (>10^4) are needed to enable statistically significant measurements of spatial organization within the brain such as nearest-neighbor and microcolumnarity measurements. In this paper, we…

Biological Physics · Physics 2008-05-01 Andrew Inglis , Luis Cruz , Dan L. Roe , H. E. Stanley , Douglas L. Rosene , Brigita Urbanc

The study of neurocognitive tasks requiring accurate localisation of activity often rely on functional Magnetic Resonance Imaging, a widely adopted technique that makes use of a pipeline of data processing modules, each involving a variety…

Computer Vision and Pattern Recognition · Computer Science 2016-10-14 Albert Vilamala , Kristoffer Hougaard Madsen , Lars Kai Hansen

This article provides a background and descriptive analysis of insect memory and the coding of olfactory sensation in Drosophila, presenting graphs and summary statistics from a large dataset of neurons and synapses that was recently made…

Neurons and Cognition · Quantitative Biology 2022-09-07 Chris Rohlfs

Understanding object recognition patterns in mice is crucial for advancing behavioral neuroscience and has significant implications for human health, particularly in the realm of Alzheimer's research. This study is centered on the…

Machine Learning · Computer Science 2023-12-25 Soham Bafana

We introduce an optimized physics-informed neural network (PINN) trained to solve the problem of identifying and characterizing a surface breaking crack in a metal plate. PINNs are neural networks that can combine data and physics in the…

Machine Learning · Computer Science 2020-05-09 Khemraj Shukla , Patricio Clark Di Leoni , James Blackshire , Daniel Sparkman , George Em Karniadakis

The eikonal equation is utilized across a wide spectrum of science and engineering disciplines. In seismology, it regulates seismic wave traveltimes needed for applications like source localization, imaging, and inversion. Several numerical…

Computational Physics · Physics 2021-07-07 Umair bin Waheed , Ehsan Haghighat , Tariq Alkhalifah , Chao Song , Qi Hao

Uncovering the fundamental neural correlates of biological intelligence, developing mathematical models, and conducting computational simulations are critical for advancing new paradigms in artificial intelligence (AI). In this study, we…

Neural and Evolutionary Computing · Computer Science 2024-09-05 Jie Su , Fang Cai , Shu-Kuo Zhao , Xin-Yi Wang , Tian-Yi Qian , Da-Hui Wang , Bo Hong

The current study uses a novel method of multilevel neurons and high order synchronization effects described by a family of special metrics, for pattern recognition in an oscillatory neural network (ONN). The output oscillator (neuron) of…

Emerging Technologies · Computer Science 2019-08-26 Andrei Velichko , Maksim Belyaev , Petr Boriskov

Multiscale problems are challenging for neural network-based discretizations of differential equations, such as physics-informed neural networks (PINNs). This can be (partly) attributed to the so-called spectral bias of neural networks. To…

Numerical Analysis · Mathematics 2024-06-07 Alexander Heinlein , Amanda A. Howard , Damien Beecroft , Panos Stinis

This workshop explores the interface between cognitive neuroscience and recent advances in AI fields that aim to reproduce human performance such as natural language processing and computer vision, and specifically deep learning approaches…

Physics-informed neural networks (PINNs) constitute a flexible approach to both finding solutions and identifying parameters of partial differential equations. Most works on the topic assume noiseless data, or data contaminated with weak…

Machine Learning · Statistics 2024-06-21 Philipp Pilar , Niklas Wahlström

This paper introduces a novel approach to solve inverse problems by leveraging deep learning techniques. The objective is to infer unknown parameters that govern a physical system based on observed data. We focus on scenarios where the…

Machine Learning · Computer Science 2023-10-02 Sidney Besnard , Frédéric Jurie , Jalal M. Fadili

Cortical pyramidal neurons have a complex dendritic anatomy, whose function is an active research field. In particular, the segregation between its soma and the apical dendritic tree is believed to play an active role in processing…

Neurons and Cognition · Quantitative Biology 2021-07-13 Fabian Schubert , Claudius Gros

We investigate the performance of neural networks in identifying critical behaviour in the 2D Ising model with next-to-nearest neighbour interactions. We train DNN and CNN based classifiers on the Ising model configurations with nearest…

As machine learning continues to gain momentum in the neuroscience community, we witness the emergence of novel applications such as diagnostics, characterization, and treatment outcome prediction for psychiatric and neurological disorders,…

Computer Vision and Pattern Recognition · Computer Science 2018-04-27 Maxim Sharaev , Alexander Andreev , Alexey Artemov , Alexander Bernstein , Evgeny Burnaev , Ekaterina Kondratyeva , Svetlana Sushchinskaya , Renat Akzhigitov

We propose a new semi-analytic physics informed neural network (PINN) to solve singularly perturbed boundary value problems. The PINN is a scientific machine learning framework that offers a promising perspective for finding numerical…

Numerical Analysis · Mathematics 2022-08-22 Gung-Min Gie , Youngjoon Hong , Chang-Yeol Jung

Some neurons in deep networks specialize in recognizing highly specific perceptual, structural, or semantic features of inputs. In computer vision, techniques exist for identifying neurons that respond to individual concept categories like…

Computer Vision and Pattern Recognition · Computer Science 2022-04-19 Evan Hernandez , Sarah Schwettmann , David Bau , Teona Bagashvili , Antonio Torralba , Jacob Andreas

A physics-informed neural network (PINN) is used to evaluate the fast ion distribution in the hot spot of an inertial confinement fusion target. The use of tailored input and output layers to the neural network is shown to enable a PINN to…

Plasma Physics · Physics 2024-06-04 Christopher J. McDevitt , Xian-Zhu Tang

Physics-informed neural networks (PINNs) incorporate physical knowledge from the problem domain as a soft constraint on the loss function, but recent work has shown that this can lead to optimization difficulties. Here, we study the impact…

Machine Learning · Computer Science 2022-07-12 Shashank Subramanian , Robert M. Kirby , Michael W. Mahoney , Amir Gholami

Physics-informed neural networks (PINNs) provide a flexible and effective alternative for estimating seismic wavefield solutions due to their typical mesh-free and unsupervised features. However, their accuracy and training cost restrict…

Geophysics · Physics 2024-01-23 Shijun Cheng , Tariq Alkhalifah