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Stochastic optimisation algorithms are the de facto standard for machine learning with large amounts of data. Handling only a subset of available data in each optimisation step dramatically reduces the per-iteration computational costs,…

Numerical Analysis · Mathematics 2024-12-19 Matthias J. Ehrhardt , Zeljko Kereta , Jingwei Liang , Junqi Tang

Although developed functional magnetic resonance imaging (fMRI) registration algorithms based on deep learning have achieved a certain degree of alignment of functional area, they underutilized fine structural information. In this paper, we…

Image and Video Processing · Electrical Eng. & Systems 2024-09-27 Baolong Li , Yuhu Shi , Lei Wang , Weiming Zeng , Changming Zhu

Functional magnetic resonance imaging (fMRI) is widely used for studying and diagnosing brain disorders, with functional connectivity (FC) matrices providing powerful representations of large-scale neural interactions. However, existing…

Tissues and Organs · Quantitative Biology 2026-04-17 Qianyu Chen , Shujian Yu

We propose a hierarchical learning strategy aimed at generating sparse representations and associated models for large noisy datasets. The hierarchy follows from approximation spaces identified at successively finer scales. For promoting…

Machine Learning · Computer Science 2020-06-11 Prashant Shekhar , Abani Patra

This paper is concerned with the development, analysis and numerical realization of a novel variational model for the regularization of inverse problems in imaging. The proposed model is inspired by the architecture of generative…

Optimization and Control · Mathematics 2021-11-10 Andreas Habring , Martin Holler

Learned Sparse Retrieval (LSR) is an effective IR approach that exploits pre-trained language models for encoding text into a learned bag of words. Several efforts in the literature have shown that sparsity is key to enabling a good…

Information Retrieval · Computer Science 2025-05-06 Franco Maria Nardini , Thong Nguyen , Cosimo Rulli , Rossano Venturini , Andrew Yates

We propose a new framework, called Hierarchical Multi-resolution Mesh Networks (HMMNs), which establishes a set of brain networks at multiple time resolutions of fMRI signal to represent the underlying cognitive process. The suggested…

Neural and Evolutionary Computing · Computer Science 2017-01-13 Itir Onal Ertugrul , Mete Ozay , Fatos Tunay Yarman Vural

Inverse problems arise in a wide spectrum of applications in fields ranging from engineering to scientific computation. Connected with the rise of interest in inverse problems is the development and analysis of regularization methods, such…

Numerical Analysis · Mathematics 2025-05-12 Abinash Nayak

Multi-slice magnetic resonance images of the fetal brain are usually contaminated by severe and arbitrary fetal and maternal motion. Hence, stable and robust motion correction is necessary to reconstruct high-resolution 3D fetal brain…

Image and Video Processing · Electrical Eng. & Systems 2022-09-23 Wen Shi , Haoan Xu , Cong Sun , Jiwei Sun , Yamin Li , Xinyi Xu , Tianshu Zheng , Yi Zhang , Guangbin Wang , Dan Wu

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

Computation · Statistics 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Object recognition is a key function in both human and machine vision. While recent studies have achieved fMRI decoding of seen and imagined contents, the prediction is limited to training examples. We present a decoding approach for…

Neurons and Cognition · Quantitative Biology 2016-09-28 Tomoyasu Horikawa , Yukiyasu Kamitani

Diffusion Magnetic Resonance Imaging (MRI) exploits the anisotropic diffusion of water molecules in the brain to enable the estimation of the brain's anatomical fiber tracts at a relatively high resolution. In particular, tractographic…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Yu Jin , Joseph F. JaJa , Rong Chen , Edward H. Herskovits

We present a comparison between various algorithms of inference of covariance and precision matrices in small datasets of real vectors, of the typical length and dimension of human brain activity time series retrieved by functional Magnetic…

Statistical Mechanics · Physics 2023-02-07 Miguel Ibáñez-Berganza , Carlo Lucibello , Francesca Santucci , Tommaso Gili , Andrea Gabrielli

Neuroimaging is the growing area of neuroscience devoted to produce data with the goal of capturing processes and dynamics of the human brain. We consider the problem of inferring the brain connectivity network from time dependent…

Methodology · Statistics 2021-05-28 Saverio Ranciati , Alberto Roverato , Alessandra Luati

The human brain receives complex inputs when performing cognitive tasks, which range from external inputs via the senses to internal inputs from other brain regions. However, the explicit inputs to the brain during a cognitive task remain…

Neurons and Cognition · Quantitative Biology 2024-04-26 Zhichao Liang , Yinuo Zhang , Jushen Wu , Quanying Liu

Multi-subject functional magnetic resonance imaging (fMRI) data has been increasingly used to study the population-wide relationship between human brain activity and individual biological or behavioral traits. A common method is to regress…

Applications · Statistics 2015-09-15 Fan Li , Tingting Zhang , Quanli Wang , Marlen Z. Gonzalez , Erin L. Maresh , James A. Coan

Well-calibrated probabilistic regression models are a crucial learning component in robotics applications as datasets grow rapidly and tasks become more complex. Unfortunately, classical regression models are usually either probabilistic…

Machine Learning · Computer Science 2023-09-12 Hany Abdulsamad , Peter Nickl , Pascal Klink , Jan Peters

Functional magnetic resonance imaging (fMRI) aims to locate activated regions in human brains when specific tasks are performed. The conventional tool for analyzing fMRI data applies some variant of the linear model, which is restrictive in…

Statistics Theory · Mathematics 2008-08-08 Chunming Zhang , Tao Yu

Diffusion MRI (dMRI) is the primary imaging modality used to study brain microstructure in vivo. Reliable and computationally efficient parameter inference for common dMRI biophysical models is a challenging inverse problem, due to factors…

Image and Video Processing · Electrical Eng. & Systems 2025-03-03 William Consagra , Lipeng Ning , Yogesh Rathi

Motivation: Recent advances in technology for brain imaging and high-throughput genotyping have motivated studies examining the influence of genetic variation on brain structure. Wang et al. (Bioinformatics, 2012) have developed an approach…

Methodology · Statistics 2016-10-18 Keelin Greenlaw , Elena Szefer , Jinko Graham , Mary Lesperance , Farouk S. Nathoo
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