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Statistical neurodynamics studies macroscopic behaviors of randomly connected neural networks. We consider a deep layered feedforward network where input signals are processed layer by layer. The manifold of input signals is embedded in a…

Disordered Systems and Neural Networks · Physics 2018-08-23 Shun-ichi Amari , Ryo Karakida , Masafumi Oizumi

In a wide variety of applications, including personalization, we want to measure the difference in outcome due to an intervention and thus have to deal with counterfactual inference. The feedback from a customer in any of these situations…

Artificial Intelligence · Computer Science 2018-08-24 Abhimanyu Mitra , Kannan Achan , Sushant Kumar

Understanding how the brain represents visual information is a fundamental challenge in neuroscience and artificial intelligence. While AI-driven decoding of neural data has provided insights into the human visual system, integrating…

Neural and Evolutionary Computing · Computer Science 2025-10-07 Dongyang Li , Haoyang Qin , Mingyang Wu , Chen Wei , Quanying Liu

Understanding how the brain encodes visual information is a central challenge in neuroscience and machine learning. A promising approach is to reconstruct visual stimuli, essentially images, from functional Magnetic Resonance Imaging (fMRI)…

Computer Vision and Pattern Recognition · Computer Science 2026-05-15 Zheng Huang , Enpei Zhang , Weikang Qiu , Yinghao Cai , Carl Yang , Elynn Chen , Xiang Zhang , Rex Ying , Dawei Zhou , Yujun Yan

Nonnegative matrix factorization (NMF) is a powerful technique for dimension reduction, extracting latent factors and learning part-based representation. For large datasets, NMF performance depends on some major issues: fast algorithms,…

Optimization and Control · Mathematics 2015-07-01 Duy-Khuong Nguyen , Tu-Bao Ho

High-dimensional data are crucial in biomedical research. Integrating such data from multiple studies is a critical process that relies on the choice of advanced statistical models, enhancing statistical power, reproducibility, and…

Applications · Statistics 2025-06-24 Mavis Liang , Blake Hansen , Alejandra Avalos-Pacheco , Roberta De Vito

A framework and method are proposed for the study of constituent composition in fMRI. The method produces estimates of neural patterns encoding complex linguistic structures, under the assumption that the contributions of individual…

Computation and Language · Computer Science 2021-10-26 Matthias Lalisse , Paul Smolensky

Many predictive tasks of web applications need to model categorical variables, such as user IDs and demographics like genders and occupations. To apply standard machine learning techniques, these categorical predictors are always converted…

Machine Learning · Computer Science 2017-08-18 Xiangnan He , Tat-Seng Chua

Multi-regional interaction among neuronal populations underlies the brain's processing of rich sensory information in our daily lives. Recent neuroscience and neuroimaging studies have increasingly used naturalistic stimuli and experimental…

Neurons and Cognition · Quantitative Biology 2021-06-08 Yu Takagi , Laurence T. Hunt , Ryu Ohata , Hiroshi Imamizu , Jun-ichiro Hirayama

Our work utilized a non-sequential simulation-based inference algorithm to provide an amortized neural density estimator, which approximates the posterior distribution for seven parameters of the adaptive exponential integrate-and-fire…

Neural and Evolutionary Computing · Computer Science 2026-02-13 Jakob Kaiser , Eric Müller , Johannes Schemmel

Foundation models have shown remarkable success in fitting biological visual systems; however, their black-box nature inherently limits their utility for understanding brain function. Here, we peek inside a SOTA foundation model of neural…

Neurons and Cognition · Quantitative Biology 2026-01-30 Johannes Bertram , Luciano Dyballa , Anderson Keller , Savik Kinger , Steven W. Zucker

Statistical learning in high-dimensional spaces is challenging without a strong underlying data structure. Recent advances with foundational models suggest that text and image data contain such hidden structures, which help mitigate the…

Machine Learning · Statistics 2025-02-04 Charles Arnal , Clement Berenfeld , Simon Rosenberg , Vivien Cabannes

Significant progress has been made using fMRI to characterize the brain changes that occur in ASD, a complex neuro-developmental disorder. However, due to the high dimensionality and low signal-to-noise ratio of fMRI, embedding informative…

Image and Video Processing · Electrical Eng. & Systems 2019-08-15 Xiaoxiao Li , Nicha C. Dvornek , Juntang Zhuang , Pamela Ventola , James Duncan

Motivated by the need for analysing large spatio-temporal panel data, we introduce a novel dimensionality reduction methodology for $n$-dimensional random fields observed across a number $S$ spatial locations and $T$ time periods. We call…

Methodology · Statistics 2023-12-06 Matteo Barigozzi , Davide La Vecchia , Hang Liu

Learning tasks such as those involving genomic data often poses a serious challenge: the number of input features can be orders of magnitude larger than the number of training examples, making it difficult to avoid overfitting, even when…

Decoding visual stimuli from neural responses recorded by functional Magnetic Resonance Imaging (fMRI) presents an intriguing intersection between cognitive neuroscience and machine learning, promising advancements in understanding human…

Computer Vision and Pattern Recognition · Computer Science 2023-12-29 Jingyuan Sun , Mingxiao Li , Zijiao Chen , Yunhao Zhang , Shaonan Wang , Marie-Francine Moens

Neural models combining representation learning and reasoning in an end-to-end trainable manner are receiving increasing interest. However, their use is severely limited by their computational complexity, which renders them unusable on real…

Artificial Intelligence · Computer Science 2018-07-24 Pasquale Minervini , Matko Bosnjak , Tim Rocktäschel , Sebastian Riedel

Multivariate analysis of fMRI data has benefited substantially from advances in machine learning. Most recently, a range of probabilistic latent variable models applied to fMRI data have been successful in a variety of tasks, including…

Normative modeling has recently been introduced as a promising approach for modeling variation of neuroimaging measures across individuals in order to derive biomarkers of psychiatric disorders. Current implementations rely on Gaussian…

Machine Learning · Statistics 2019-04-16 Seyed Mostafa Kia , Andre F. Marquand

Recent advancements in medicine have confirmed that brain disorders often comprise multiple subtypes of mechanisms, developmental trajectories, or severity levels. Such heterogeneity is often associated with demographic aspects (e.g., sex)…

Image and Video Processing · Electrical Eng. & Systems 2024-10-08 Magdalini Paschali , Yu Hang Jiang , Spencer Siegel , Camila Gonzalez , Kilian M. Pohl , Akshay Chaudhari , Qingyu Zhao
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