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Multi-layer neural networks are among the most powerful models in machine learning, yet the fundamental reasons for this success defy mathematical understanding. Learning a neural network requires to optimize a non-convex high-dimensional…

Machine Learning · Statistics 2022-06-08 Song Mei , Andrea Montanari , Phan-Minh Nguyen

Attention Deficit Hyperactivity Disorder (ADHD) is a neurodevelopmental disorder that is challenging to diagnose and requires advanced approaches for reliable and transparent identification and classification. It is characterized by a…

Machine Learning · Computer Science 2026-02-04 Abdul Rehman , Ilona Heldal , Jerry Chun-Wei Lin

In this work we explore the limiting dynamics of deep neural networks trained with stochastic gradient descent (SGD). As observed previously, long after performance has converged, networks continue to move through parameter space by a…

Expressivity is one of the most significant issues in assessing neural networks. In this paper, we provide a quantitative analysis of the expressivity for the deep neural network (DNN) from its dynamic model, where the Hilbert space is…

Machine Learning · Computer Science 2019-12-24 Gege Zhang , Gangwei Li , Ningwei Shen , Weidong Zhang

Body Dysmorphic Disorder (BDD) is a highly prevalent and frequently underdiagnosed condition characterized by persistent, intrusive preoccupations with perceived defects in physical appearance. In this extended analysis, we employ multiple…

Machine Learning · Computer Science 2025-03-17 Omar Costilla-Reyes , Morgan Talbot

Normative modeling has emerged as a pivotal approach for characterizing heterogeneity and individual variance in neurodegenerative diseases, notably Alzheimer's disease(AD). One of the challenges of cortical normative modeling is the…

Image and Video Processing · Electrical Eng. & Systems 2026-03-13 Jianwei Zhang , Yonggang Shi

This paper focuses on the domain generalization task where domain knowledge is unavailable, and even worse, only samples from a single domain can be utilized during training. Our motivation originates from the recent progresses in deep…

Machine Learning · Computer Science 2022-03-08 Chris Xing Tian , Haoliang Li , Xiaofei Xie , Yang Liu , Shiqi Wang

There is increasing interest in modeling high-dimensional longitudinal outcomes in applications such as developmental neuroimaging research. Growth curve model offers a useful tool to capture both the mean growth pattern across individuals,…

Methodology · Statistics 2023-05-26 Lu Wang , Xiang Lyu , Zhengwu Zhang , Lexin Li

Cultured stem cells have become a standard platform not only for regenerative medicine and developmental biology but also for biophysical studies. Yet, the characterization of cultured stem cells at the level of morphology and macroscopic…

Soft Condensed Matter · Physics 2022-06-23 Kyogo Kawaguchi , Ryoichiro Kageyama , Masaki Sano

A classic approach for solving differential equations with neural networks builds upon neural forms, which employ the differential equation with a discretisation of the solution domain. Making use of neural forms for time-dependent…

Neural and Evolutionary Computing · Computer Science 2022-09-02 Toni Schneidereit , Michael Breuß

Dynamic treatment regimes (DTRs) are sequences of functions that formalize the process of precision medicine. DTRs take as input patient information and output treatment recommendations. A major focus of the DTR literature has been on the…

Methodology · Statistics 2024-02-21 Dylan Spicker , Michael P. Wallace , Grace Y. Yi

Epilepsy is a disorder characterised by spontaneous, recurrent seizures. Both local and network abnormalities have been associated with epilepsy, and the exact processes generating seizures are thought to be heterogeneous and…

Neurons and Cognition · Quantitative Biology 2019-01-07 Yujiang Wang , Gabrielle Marie Schroeder , Nishant Sinha , Peter Neal Taylor

In the context of supervised statistical learning, it is typically assumed that the training set comes from the same distribution that draws the test samples. When this is not the case, the behavior of the learned model is unpredictable and…

Machine Learning · Computer Science 2022-05-12 Antonio-Javier Gallego , Jorge Calvo-Zaragoza , Robert B. Fisher

This paper presents a novel deep learning-based approach named RealDiffFusionNet incorporating Neural Controlled Differential Equations (Neural CDE) - time series models that are robust in handling irregularly sampled data - and multi-head…

Machine Learning · Computer Science 2025-01-07 Aashish Cheruvu , Nathaniel Rigoni

This report discusses the application of neural networks (NNs) as small segments of the brain. The networks representing the biological connectome are altered both spatially and temporally. The degradation techniques applied here are…

Neurons and Cognition · Quantitative Biology 2020-08-04 Jacob Adamczyk

Clinical abnormality grounding for rare diseases is often hindered by data scarcity, making supervised fine-tuning impractical and single-pass inference highly unstable. We propose Dynamic Decision Learning (DDL), a framework that enables…

Computation and Language · Computer Science 2026-04-29 Jun Li , Mingxuan Liu , Jiazhen Pan , Che Liu , Wenjia Bai , Cosmin I. Bercea , Julia A. Schnabel

We propose a unified optimization framework that combines neural networks with dictionary learning to model complex interactions between resting state functional MRI and behavioral data. The dictionary learning objective decomposes patient…

Machine Learning · Computer Science 2024-11-21 Niharika Shimona D'Souza , Mary Beth Nebel , Nicholas Wymbs , Stewart Mostofsky , Archana Venkataraman

Training recurrent neural networks (RNNs) is a hard problem due to degeneracies in the optimization landscape, a problem also known as vanishing/exploding gradients. Short of designing new RNN architectures, previous methods for dealing…

Neural and Evolutionary Computing · Computer Science 2020-02-11 A. Emin Orhan , Xaq Pitkow

Autism spectrum disorder (ASD) has been associated with structural alterations across cortical and subcortical regions. Quantitative neuroimaging enables large-scale analysis of these neuroanatomical patterns. This project used structural…

Neurons and Cognition · Quantitative Biology 2025-12-30 Ashley Chen

The human brain undergoes rapid development during the third trimester of pregnancy. In this work, we model the neonatal development of the infant brain in this age range. As a basis, we use MR images of preterm- and term-birth neonates…

Image and Video Processing · Electrical Eng. & Systems 2024-08-19 Florentin Bieder , Paul Friedrich , Hélène Corbaz , Alicia Durrer , Julia Wolleb , Philippe C. Cattin