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Monge map refers to the optimal transport map between two probability distributions and provides a principled approach to transform one distribution to another. Neural network based optimal transport map solver has gained great attention in…

Machine Learning · Computer Science 2022-11-22 Jiaojiao Fan , Shu Liu , Shaojun Ma , Haomin Zhou , Yongxin Chen

Deep, classical graph-theoretical parameters, like the size of the minimum vertex cover, the chromatic number, or the eigengap of the adjacency matrix of the graph were studied widely by mathematicians in the last century. Most researchers…

Neurons and Cognition · Quantitative Biology 2017-09-18 Balazs Szalkai , Balint Varga , Vince Grolmusz

Modeling the behavior of coupled networks is challenging due to their intricate dynamics. For example in neuroscience, it is of critical importance to understand the relationship between the functional neural processes and anatomical…

Machine Learning · Computer Science 2021-04-20 Hongyuan You , Sikun Lin , Ambuj K. Singh

The idea of reusing or transferring information from previously learned tasks (source tasks) for the learning of new tasks (target tasks) has the potential to significantly improve the sample efficiency of a reinforcement learning agent. In…

Artificial Intelligence · Computer Science 2022-09-28 Thommen George Karimpanal , Roland Bouffanais

Standard representational similarity methods align each layer of a network to its best match in another independently, producing asymmetric results, lacking a global alignment score, and struggling with networks of different depths. These…

Machine Learning · Computer Science 2026-04-23 Shaan Shah , Meenakshi Khosla

Optimal transport has been an essential tool for reconstructing dynamics from complex data. With the increasingly available multifaceted data, a system can often be characterized across multiple spaces. Therefore, it is crucial to maintain…

Optimization and Control · Mathematics 2024-06-06 Zixuan Cang , Yanxiang Zhao

Brain disorders are an umbrella term for a group of neurological and psychiatric conditions that have a major effect on thinking, feeling, and acting. These conditions encompass a wide range of conditions. The illnesses in question pose…

Neurons and Cognition · Quantitative Biology 2025-11-11 Aniruddha Saha , Soujanya Hazra , Sanjay Ghosh

Our understanding of the structure of the brain and its relationships with human traits is largely determined by how we represent the structural connectome. Standard practice divides the brain into regions of interest (ROIs) and represents…

Applications · Statistics 2023-06-13 Rongjie Liu , Meng Li , David B. Dunson

We introduce a novel gene regulatory network (GRN) inference method that integrates optimal transport (OT) with a deep-learning structural inference model. Advances in next-generation sequencing enable detailed yet destructive gene…

Computational Engineering, Finance, and Science · Computer Science 2024-09-24 Tsz Pan Tong , Aoran Wang , George Panagopoulos , Jun Pang

Data has exponentially grown in the last years, and knowledge graphs constitute powerful formalisms to integrate a myriad of existing data sources. Transformation functions -- specified with function-based mapping languages like FunUL and…

Databases · Computer Science 2022-09-22 Samaneh Jozashoori , David Chaves-Fraga , Enrique Iglesias , Maria-Esther Vidal , Oscar Corcho

In Schiebinger et al. (2017), the authors use optimal transport of measures on empirical distributions arising from biological experiments to relate the single cell RNA sequencing profiles for induced pluripotent stem cells differentiating.…

Quantitative Methods · Quantitative Biology 2017-10-23 Salil Bhate

Although modern imaging technologies allow us to study connectivity between two distinct brain regions in-vivo, an in-depth understanding of how anatomical structure supports brain function and how spontaneous functional fluctuations emerge…

Neurons and Cognition · Quantitative Biology 2024-10-29 Ziquan Wei , Tingting Dan , Jiaqi Ding , Guorong Wu

Developing automated and semi-automated solutions for reconstructing wiring diagrams of the brain from electron micrographs is important for advancing the field of connectomics. While the ultimate goal is to generate a graph of neuron…

Computer Vision and Pattern Recognition · Computer Science 2016-08-09 William Gray Roncal , Colin Lea , Akira Baruah , Gregory D. Hager

The relationship between brain structure and function has been probed using a variety of approaches, but how the underlying structural connectivity of the human brain drives behavior is far from understood. To investigate the effect of…

Neurons and Cognition · Quantitative Biology 2018-11-15 Kanika Bansal , John D. Medaglia , Danielle S. Bassett , Jean M. Vettel , Sarah F. Muldoon

Optimal transport maps define a one-to-one correspondence between probability distributions, and as such have grown popular for machine learning applications. However, these maps are generally defined on empirical observations and cannot be…

Statistics Theory · Mathematics 2021-02-18 Lucas de Lara , Alberto González-Sanz , Jean-Michel Loubes

In the realm of neuroscience, identifying distinctive patterns associated with neurological disorders via brain networks is crucial. Resting-state functional magnetic resonance imaging (fMRI) serves as a primary tool for mapping these…

Image and Video Processing · Electrical Eng. & Systems 2025-10-27 Jiaxing Xu , Mengcheng Lan , Xia Dong , Kai He , Wei Zhang , Qingtian Bian , Yiping Ke

Despite the progress in deep learning networks, efficient learning at the edge (enabling adaptable, low-complexity machine learning solutions) remains a critical need for defense and commercial applications. We envision a pipeline to…

Advanced brain imaging techniques make it possible to measure individuals' structural connectomes in large cohort studies non-invasively. The structural connectome is initially shaped by genetics and subsequently refined by the environment.…

Applications · Statistics 2018-06-11 Zhengwu Zhang , Genevera I. Allen , Hongtu Zhu , David Dunson

Modern brain imaging technologies have enabled the detailed reconstruction of human brain connectomes, capturing structural connectivity (SC) from diffusion MRI and functional connectivity (FC) from functional MRI. Understanding the…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Yee-Fan Tan , Jun Lin Liow , Pei-Sze Tan , Fuad Noman , Raphael C. -W. Phan , Hernando Ombao , Chee-Ming Ting

Resting-state functional Magnetic Resonance Imaging (R-fMRI) holds the promise to reveal functional biomarkers of neuropsychiatric disorders. However, extracting such biomarkers is challenging for complex multi-faceted neuropatholo-gies,…