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We investigate the generalizability of deep learning based on the sensitivity to input perturbation. We hypothesize that the high sensitivity to the perturbation of data degrades the performance on it. To reduce the sensitivity to…

Machine Learning · Statistics 2017-06-01 Yuichi Yoshida , Takeru Miyato

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

Estimating individual and average treatment effects from observational data is an important problem in many domains such as healthcare and e-commerce. In this paper, we advocate balance regularization of multi-head neural network…

Machine Learning · Computer Science 2020-11-24 Mehrdad Farajtabar , Andrew Lee , Yuanjian Feng , Vishal Gupta , Peter Dolan , Harish Chandran , Martin Szummer

The successes of intelligent systems have quite relied on the artificial learning of information, which lead to the broad applications of neural learning solutions. As a common sense, the training of neural networks can be largely improved…

Machine Learning · Computer Science 2025-04-15 Miao Cheng , Feiyan Zhou , Hongwei Zou , Limin Wang

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

Image and Video Processing · Electrical Eng. & Systems 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

In daily life, we encounter diverse external stimuli, such as images, sounds, and videos. As research in multimodal stimuli and neuroscience advances, fMRI-based brain decoding has become a key tool for understanding brain perception and…

Computer Vision and Pattern Recognition · Computer Science 2025-03-21 Pengyu Liu , Guohua Dong , Dan Guo , Kun Li , Fengling Li , Xun Yang , Meng Wang , Xiaomin Ying

Functional magnetic resonance imaging (fMRI) is a neuroimaging technique that records neural activations in the brain by capturing the blood oxygen level in different regions based on the task performed by a subject. Given fMRI data, the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-21 Ashish Jaiswal , Ashwin Ramesh Babu , Mohammad Zaki Zadeh , Fillia Makedon , Glenn Wylie

An unprecedented amount of existing functional Magnetic Resonance Imaging (fMRI) data provides a new opportunity to understand the relationship between functional fluctuation and human cognition/behavior using a data-driven approach. To…

Machine Learning · Computer Science 2024-09-18 Jiaqi Ding , Tingting Dan , Ziquan Wei , Hyuna Cho , Paul J. Laurienti , Won Hwa Kim , Guorong Wu

We propose an approach to reduce the bias of ridge regression and regularization kernel network. When applied to a single data set the new algorithms have comparable learning performance with the original ones. When applied to incremental…

Machine Learning · Statistics 2016-03-17 Qiang Wu

The effectiveness of non-parametric, kernel-based methods for function estimation comes at the price of high computational complexity, which hinders their applicability in adaptive, model-based control. Motivated by approximation techniques…

Statistics Theory · Mathematics 2023-03-17 Anna Scampicchio , Elena Arcari , Melanie N. Zeilinger

Functional magnetic resonance imaging (fMRI) is a powerful tool for investigating human brain function. However, the high cost of data acquisition and the inherent subjectivity of psychiatric rating scales often lead to datasets with small…

Machine Learning · Computer Science 2026-05-29 Jiyao Wang , Peiyu Duan , Nicha C. Dvornek , Lawrence H. Staib , Denis Sukhodolsky , Pamela Ventola , James S. Duncan

A compositional tree refers to a tree structure on a set of random variables where each random variable is a node and composition occurs at each non-leaf node of the tree. As a generalization of compositional data, compositional trees…

Methodology · Statistics 2021-04-20 Bingkai Wang , Brian S. Caffo , Xi Luo , Chin-Fu Liu , Andreia V. Faria , Michael I. Miller , Yi Zhao

Regularization is a core component of modern inverse problems, as it helps establish the well-posedness of the solution of interest. Popular regularization approaches include variational regularization and iterative regularization. The…

Optimization and Control · Mathematics 2025-08-08 Jie Gao , Cesare Molinari , Silvia Villa , Jingwei Liang

Surface analysis of the cortex is ubiquitous in human neuroimaging with MRI, e.g., for cortical registration, parcellation, or thickness estimation. The convoluted cortical geometry requires isotropic scans (e.g., 1mm MPRAGEs) and good…

Image and Video Processing · Electrical Eng. & Systems 2023-05-04 Karthik Gopinath , Douglas N. Greve , Sudeshna Das , Steve Arnold , Colin Magdamo , Juan Eugenio Iglesias

The rise of machine learning in image processing has created a gap between trainable data-driven and classical model-driven approaches: While learning-based models often show superior performance, classical ones are often more transparent.…

Image and Video Processing · Electrical Eng. & Systems 2020-04-15 Tobias Alt , Joachim Weickert

The goal of emotional brain state classification on functional MRI (fMRI) data is to recognize brain activity patterns related to specific emotion tasks performed by subjects during an experiment. Distinguishing emotional brain states from…

Image and Video Processing · Electrical Eng. & Systems 2022-11-01 Maxime Tchibozo , Donggeun Kim , Zijing Wang , Xiaofu He

Diverse cognitive processes set different demands on locally segregated and globally integrated brain activity. However, it remains unclear how resting brains configure their functional organization to balance the demands on network…

Neurons and Cognition · Quantitative Biology 2022-04-25 Rong Wang , Mianxin Liu , Xinhong Cheng , Ying Wu , Andrea Hildebrandt , Changsong Zhou

Analysis of non-asymptotic estimation error and structured statistical recovery based on norm regularized regression, such as Lasso, needs to consider four aspects: the norm, the loss function, the design matrix, and the noise model. This…

Machine Learning · Statistics 2015-12-01 Arindam Banerjee , Sheng Chen , Farideh Fazayeli , Vidyashankar Sivakumar

Structural covariance analysis is a widely used structural MRI analysis method which characterises the co-relations of morphology between brain regions over a group of subjects. To our knowledge, little has been investigated in terms of the…

Neurons and Cognition · Quantitative Biology 2020-06-01 Jona Carmon , Jil Heege , Joe H Necus , Thomas W Owen , Gordon Pipa , Marcus Kaiser , Peter N Taylor , Yujiang Wang

We focus on tackling weakly supervised semantic segmentation with scribble-level annotation. The regularized loss has been proven to be an effective solution for this task. However, most existing regularized losses only leverage static…

Computer Vision and Pattern Recognition · Computer Science 2021-08-04 Bingfeng Zhang , Jimin Xiao , Yao Zhao