K-Deep Simplex: Manifold Learning via Local Dictionaries

A Tasissa, P Tankala, JM Murphy… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
We propose-Deep Simplex (KDS) which, given a set of data points, learns a dictionary
comprising synthetic landmarks, along with representation coefficients supported on a …

Geometric sparse coding in Wasserstein space

M Mueller, S Aeron, JM Murphy, A Tasissa - arXiv preprint arXiv …, 2022 - arxiv.org
Wasserstein dictionary learning is an unsupervised approach to learning a collection of
probability distributions that generate observed distributions as Wasserstein barycentric …

K-deep simplex: Deep manifold learning via local dictionaries

P Tankala, A Tasissa, JM Murphy, D Ba - arXiv preprint arXiv:2012.02134, 2020 - arxiv.org
We propose K-Deep Simplex (KDS) which, given a set of data points, learns a dictionary
comprising synthetic landmarks, along with representation coefficients supported on a …

Sparse, Geometric Autoencoder Models of V1

J Huml, A Tasissa, D Ba - arXiv preprint arXiv:2302.11162, 2023 - arxiv.org
The classical sparse coding model represents visual stimuli as a linear combination of a
handful of learned basis functions that are Gabor-like when trained on natural image data …

Local Sparse Representations: Connections With the Delaunay Triangulation and Dictionary Learning in Wasserstein Space

M Mueller - 2024 - search.proquest.com
We pursue local sparse representations of data by considering a common data model where
representations are formed as a combination of atoms that we call a dictionary. Our focus is …

Local Geometry Constraints in V1 with Deep Recurrent Autoencoders

JR Huml, DE Ba - SVRHM 2022 Workshop@ NeurIPS - openreview.net
Sparse coding is a pillar of computational neuroscience, learning filters that well-describe
the sensitivities of mammalian simple cell receptive fields (SCRFs) in a least-squares sense …