On the versatile uses of partial distance correlation in deep learning

X Zhen, Z Meng, R Chakraborty, V Singh - European Conference on …, 2022 - Springer
Comparing the functional behavior of neural network models, whether it is a single network
over time or two (or more networks) during or post-training, is an essential step in …

Semi-supervised medical image classification via distance correlation minimization and graph attention regularization

AD Berenguer, M Kvasnytsia, MN Bossa… - Medical Image …, 2024 - Elsevier
We propose a novel semi-supervised learning method to leverage unlabeled data alongside
minimal annotated data and improve medical imaging classification performance in realistic …

Fair canonical correlation analysis

Z Zhou, D Ataee Tarzanagh, B Hou… - Advances in …, 2024 - proceedings.neurips.cc
This paper investigates fairness and bias in Canonical Correlation Analysis (CCA), a widely
used statistical technique for examining the relationship between two sets of variables. We …

Fast and efficient MMD-based fair PCA via optimization over Stiefel manifold

J Lee, G Kim, M Olfat, M Hasegawa-Johnson… - Proceedings of the …, 2022 - ojs.aaai.org
This paper defines fair principal component analysis (PCA) as minimizing the maximum
mean discrepancy (MMD) between the dimensionality-reduced conditional distributions of …

Normative framework for deriving neural networks with multicompartmental neurons and non-Hebbian plasticity

D Lipshutz, Y Bahroun, S Golkar, AM Sengupta… - PRX Life, 2023 - APS
An established normative approach for understanding the algorithmic basis of neural
computation is to derive online algorithms from principled computational objectives and …

A generalized eigengame with extensions to multiview representation learning

J Chapman, AL Aguila, L Wells - arXiv preprint arXiv:2211.11323, 2022 - arxiv.org
Generalized Eigenvalue Problems (GEPs) encompass a range of interesting dimensionality
reduction methods. Development of efficient stochastic approaches to these problems would …

Optimization without retraction on the random generalized Stiefel manifold

S Vary, P Ablin, B Gao, PA Absil - arXiv preprint arXiv:2405.01702, 2024 - arxiv.org
Optimization over the set of matrices that satisfy $ X^\top BX= I_p $, referred to as the
generalized Stiefel manifold, appears in many applications involving sampled covariance …

Stochastic optimization over expectation-formulated generalized Stiefel manifold

L Jiang, N Xiao, X Liu - arXiv preprint arXiv:2412.20008, 2024 - arxiv.org
In this paper, we consider a class of stochastic optimization problems over the expectation-
formulated generalized Stiefel manifold (SOEGS), where the objective function $ f $ is …

Efficient Algorithms for the CCA Family: Unconstrained Objectives with Unbiased Gradients

J Chapman, AL Aguila, L Wells - arXiv preprint arXiv:2310.01012, 2023 - arxiv.org
The Canonical Correlation Analysis (CCA) family of methods is foundational in multi-view
learning. Regularised linear CCA methods can be seen to generalise Partial Least Squares …

Towards Scalable, Flexible, and Interpretable Self-Supervised Learning for Multiview Biomedical Data

J Chapman - 2024 - discovery.ucl.ac.uk
Imagine a world where images of you, data from your smartwatch, and your electronic health
records could seamlessly integrate to paint a comprehensive picture of your health. Now …