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To remedy the drawbacks of full-mass or fixed-mass constraints in classical optimal transport, we propose adaptive optimal transport which is distinctive from the classical optimal transport in its ability of adaptive-mass preserving. It…

Machine Learning · Computer Science 2025-03-10 Pei Yang , Qi Tan , Guihua Wen

Brain connectomes, representing neural connectivity as graphs, are crucial for understanding brain organization but costly and time-consuming to acquire, motivating generative approaches. Recent advances in graph generative modeling offer a…

Machine Learning · Computer Science 2025-08-14 Yitong Luo , Islem Rekik

Resting-state functional magnetic resonance imaging (rs-fMRI) is a noninvasive technique pivotal for understanding human neural mechanisms of intricate cognitive processes. Most rs-fMRI studies compute a single static functional…

Neurons and Cognition · Quantitative Biology 2025-02-25 Bishal Thapaliya , Robyn Miller , Jiayu Chen , Yu-Ping Wang , Esra Akbas , Ram Sapkota , Bhaskar Ray , Pranav Suresh , Santosh Ghimire , Vince Calhoun , Jingyu Liu

The brain can be regarded as a network: a connected system where nodes, or units, represent different specialized regions and links, or connections, represent communication pathways. From a functional perspective communication is coded by…

Neurons and Cognition · Quantitative Biology 2014-09-10 Fabrizio De Vico Fallani , Jonas Richiardi , Mario Chavez , Sophie Achard

Understanding the complex neural activity dynamics is crucial for the development of the field of neuroscience. Although current functional MRI classification approaches tend to be based on static functional connectivity or cannot capture…

Machine Learning · Computer Science 2025-08-20 Amirali Arbab , Zeinab Davarani , Mehran Safayani

We present a method to extract temporal hypergraphs from sequences of 2-dimensional functions obtained as solutions to Optimal Transport problems. We investigate optimality principles exhibited by these solutions from the point of view of…

Discrete Mathematics · Computer Science 2023-01-10 Diego Baptista , Caterina De Bacco

We present a new multiscale algorithm for solving regularized Optimal Transport problems on the GPU, with a linear memory footprint. Relying on Sinkhorn divergences which are convex, smooth and positive definite loss functions, this method…

Computer Vision and Pattern Recognition · Computer Science 2021-07-06 Jean Feydy , Pierre Roussillon , Alain Trouvé , Pietro Gori

Understanding how brain structure and function interact is key to explaining intelligence yet modeling them jointly is challenging as the structural and functional connectome capture complementary aspects of organization. We introduced…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Badhan Mazumder , Sir-Lord Wiafe , Aline Kotoski , Vince D. Calhoun , Dong Hye Ye

How to identify and characterize functional brain networks (BN) is fundamental to gain system-level insights into the mechanisms of brain organizational architecture. Current functional magnetic resonance (fMRI) analysis highly relies on…

Neurons and Cognition · Quantitative Biology 2022-06-28 Xiaowei Yu , Lu Zhang , Lin Zhao , Yanjun Lyu , Tianming Liu , Dajiang Zhu

In recent years, graph neural networks (GNNs) have been widely applied in the analysis of brain fMRI, yet defining the connectivity between ROIs remains a challenge in noisy fMRI data. Among all approaches, Functional Connectome (FC) is the…

Machine Learning · Computer Science 2025-04-09 Jiyao Wang , Nicha C. Dvornek , Peiyu Duan , Lawrence H. Staib , Pamela Ventola , James S. Duncan

Recently, neural network-based methods for computing optimal transport maps have been effectively applied to style transfer problems. However, the application of these methods to voice conversion is underexplored. In our paper, we fill this…

The human brain is the most complex object of study we encounter today. Mapping the neuronal-level connections between the more than 80 billion neurons in the brain is a hopeless task for science. By the recent advancement of magnetic…

Neurons and Cognition · Quantitative Biology 2020-09-01 Balint Varga , Vince Grolmusz

Optimal transport (OT) theory describes general principles to define and select, among many possible choices, the most efficient way to map a probability measure onto another. That theory has been mostly used to estimate, given a pair of…

Machine Learning · Computer Science 2023-04-03 Charlotte Bunne , Andreas Krause , Marco Cuturi

Currently, the diagnosis of Autism Spectrum Disorder (ASD) is dependent upon a subjective, time-consuming evaluation of behavioral tests by an expert clinician. Non-invasive functional MRI (fMRI) characterizes brain connectivity and may be…

Machine Learning · Computer Science 2020-05-26 Cooper J. Mellema , Alex Treacher , Kevin P. Nguyen , Albert Montillo

We present a suite of scalable algorithms for minimizing feedback arcs in large-scale weighted directed graphs, with the goal of revealing biologically meaningful feedforward structure in neural connectomes. Using the FlyWire Connectome…

Artificial Intelligence · Computer Science 2025-06-18 Soroush Vahidi

This manuscript presents a novel, tightly integrated pipeline for estimating a connectome, which is a comprehensive description of the neural circuits in the brain. The pipeline utilizes magnetic resonance imaging (MRI) data to produce a…

Neurons and Cognition · Quantitative Biology 2011-11-14 William R. Gray , John A. Bogovic , Joshua T. Vogelstein , Bennett A. Landman , Jerry L. Prince , R. Jacob Vogelstein

Detecting dynamic patterns of task-specific responses shared across heterogeneous datasets is an essential and challenging problem in many scientific applications in medical science and neuroscience. In our motivating example of rodent…

Neurons and Cognition · Quantitative Biology 2024-07-02 Yubai Yuan , Babak Shahbaba , Norbert Fortin , Keiland Cooper , Qing Nie , Annie Qu

We study the use of amortized optimization to predict optimal transport (OT) maps from the input measures, which we call Meta OT. This helps repeatedly solve similar OT problems between different measures by leveraging the knowledge and…

Machine Learning · Computer Science 2023-06-06 Brandon Amos , Samuel Cohen , Giulia Luise , Ievgen Redko

In order to understand the complex cognitive functions of the human brain, it is essential to study the structural connectome, i.e., the wiring of different brain regions to each other through axonal pathways. However, the high degree of…

Neurons and Cognition · Quantitative Biology 2021-01-25 Anand Pathak , Shakti N. Menon , Sitabhra Sinha

Predicting the evolution of the brain network, also called connectome, by foreseeing changes in the connectivity weights linking pairs of anatomical regions makes it possible to spot connectivity-related neurological disorders in earlier…

Machine Learning · Computer Science 2021-09-17 Şeymanur Aktı , Doğay Kamar , Özgür Anıl Özlü , Ihsan Soydemir , Muhammet Akcan , Abdullah Kul , Islem Rekik