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In this paper we study shallow neural network functions which are linear combinations of compositions of activation and quadratic functions, replacing standard affine linear functions, often called neurons. We show the universality of this…

Numerical Analysis · Mathematics 2022-05-12 Leon Frischauf , Otmar Scherzer , Cong Shi

We propose a ``half'' layer of hidden units that has some of its weights randomly set and some of them trained. A half unit is composed of two stages: First, it takes a weighted sum of its inputs with fixed random weights, and second, the…

Machine Learning · Computer Science 2025-06-06 Ethem Alpaydin

Recent work has focused on combining kernel methods and deep learning to exploit the best of the two approaches. Here, we introduce a new architecture of neural networks in which we replace the top dense layers of standard convolutional…

Machine Learning · Computer Science 2019-12-02 Luc Giffon , Stéphane Ayache , Thierry Artières , Hachem Kadri

The Disrupted in Schizophrenia Gene 1 (DISC1) plays a role in both neural signalling and development and is associated with schizophrenia, although its links to altered brain structure and function in this disorder are not fully…

Neurons and Cognition · Quantitative Biology 2014-06-10 Xiaohong Gong , Wenlian Lu , Keith M. Kendrick , Weidan Pu , Chu Wang , Li Jin , Guangmin Lu , Zhening Liu , Haihong Liu , Jianfeng Feng

This work presents xEEGNet, a novel, compact, and explainable neural network for EEG data analysis. It is fully interpretable and reduces overfitting through major parameter reduction. As an applicative use case, we focused on classifying…

Machine Learning · Computer Science 2025-12-04 Andrea Zanola , Louis Fabrice Tshimanga , Federico Del Pup , Marco Baiesi , Manfredo Atzori

We present several deep learning models for assessing the morphometric fidelity of deep grey matter region models extracted from brain MRI. We test three different convolutional neural net architectures (VGGNet, ResNet and Inception) over…

We propose a deep neural network for supervised learning on neuroanatomical shapes. The network directly operates on raw point clouds without the need for mesh processing or the identification of point correspondences, as spatial…

Computer Vision and Pattern Recognition · Computer Science 2018-06-05 Benjamin Gutierrez-Becker , Christian Wachinger

Deep neural networks and brains both learn and share superficial similarities: processing nodes are likened to neurons and adjustable weights are likened to modifiable synapses. But can a unified theoretical framework be found to underlie…

Disordered Systems and Neural Networks · Physics 2025-09-29 Arsham Ghavasieh , Meritxell Vila-Minana , Akanksha Khurd , John Beggs , Gerardo Ortiz , Santo Fortunato

Multivariate dynamical processes can often be intuitively described by a weighted connectivity graph between components representing each individual time-series. Even a simple representation of this graph as a Pearson correlation matrix may…

Machine Learning · Computer Science 2022-02-15 Usman Mahmood , Zening Fu , Vince Calhoun , Sergey Plis

Over the last years, increasing evidence has fuelled the hypothesis that Autism Spectrum Disorder (ASD) is a condition of altered brain functional connectivity. The great majority of these empirical studies rely on functional magnetic…

Neurons and Cognition · Quantitative Biology 2010-08-02 Pablo Barttfeld , Bruno Wicker , Sebastián Cukier , Silvana Navarta , Sergio Lew , Mariano Sigman

We address a biophysical network dynamical model to study how the modulation of dopamine (DA) activity and related N-methyl-d-aspartate (NMDA) glutamate receptor activity as well as the emerging Pre-Frontal Cortex (PFC) functional…

Neurons and Cognition · Quantitative Biology 2021-07-21 Konstantinos Spiliotis , Giannis Kahramanoglou , Jens Starke , Nikolaos Smyrnis , Constantinos Siettos

Deep neural networks have achieved great success both in computer vision and natural language processing tasks. However, mostly state-of-art methods highly rely on external training or computing to improve the performance. To alleviate the…

Machine Learning · Computer Science 2020-09-25 Ming Yan , Xueli Xiao , Joey Tianyi Zhou , Yi Pan

Deep learning is a subset of a broader family of machine learning methods based on learning data representations. These models are inspired by human biological nervous systems, even if there are various differences pertaining to the…

Neural and Evolutionary Computing · Computer Science 2019-05-22 Adriano Baldeschi , Raffaella Margutti , Adam Miller

We introduce a general theoretical framework, designed for the study of gradient optimisation of deep neural networks, that encompasses ubiquitous architecture choices including batch normalisation, weight normalisation and skip…

Machine Learning · Computer Science 2023-12-05 Lachlan Ewen MacDonald , Jack Valmadre , Hemanth Saratchandran , Simon Lucey

Multi-modal neuroimaging technology has greatlly facilitated the efficiency and diagnosis accuracy, which provides complementary information in discovering objective disease biomarkers. Conventional deep learning methods, e.g. convolutional…

Image and Video Processing · Electrical Eng. & Systems 2022-10-26 Yanwu Yang , Xutao Guo , Zhikai Chang , Chenfei Ye , Yang Xiang , Ting Ma

Explaining individual differences in cognitive abilities requires both identifying brain parameters that vary across individuals and understanding how brain networks are recruited for specific tasks. Typically, task performance relies on…

Neurons and Cognition · Quantitative Biology 2026-05-05 Sida Chen , Siqi Yang , Zhao Chang , Taro Toyoizumi , Werner Sommer , Lianchun Yu , Qian-Yuan Tang , Changsong Zhou

This study is focused on determining the potential of using deep neural networks (DNNs) to predict the ultimate bearing capacity of shallow foundation in situations when the experimental data which may be used to train networks is scarce.…

Neural and Evolutionary Computing · Computer Science 2018-10-23 Marta Bagińska , Piotr E. Srokosz

Deep convolutional neural networks (CNNs) have structures that are loosely related to that of the primate visual cortex. Surprisingly, when these networks are trained for object classification, the activity of their early, intermediate, and…

Neurons and Cognition · Quantitative Biology 2016-10-18 Omid Rezai , Pinar Boyraz Jentsch , Bryan Tripp

Unified understanding of neuro networks (NNs) gets the users into great trouble because they have been puzzled by what kind of rules should be obeyed to optimize the internal structure of NNs. Considering the potential capability of random…

Machine Learning · Computer Science 2022-01-03 Ruiqi Mao , Rongxin Cui

Although a number of studies have explored deep learning in neuroscience, the application of these algorithms to neural systems on a microscopic scale, i.e. parameters relevant to lower scales of organization, remains relatively novel.…

Machine Learning · Computer Science 2020-10-20 Paul Y. Wang , Sandalika Sapra , Vivek Kurien George , Gabriel A. Silva