most citedFuzzy simplicial sets and their application to geometric data analysis

2 citations · 2 across the 1 of their papers we have counts for

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5 papers

math.AT20262 cited

Fuzzy simplicial sets and their application to geometric data analysis

Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad +3

In this article, we expand upon the concepts introduced by David Spivak about the relationship between the category of uber metric spaces and the category $\mathbf{sF…

cs.LG2025

Probabilistic Foundations of Fuzzy Simplicial Sets for Nonlinear Dimensionality Reduction

Janis Keck, Lukas Silvester Barth, Fatemeh +3

Fuzzy simplicial sets have become an object of interest in dimensionality reduction and manifold learning, most prominently through their role in UMAP. However, their definition th…

cs.LG2025

VIBE: Video-Input Brain Encoder for fMRI Response Modeling

Daniel Carlström Schad, Shrey Dixit, Janis Keck +3

We present VIBE, a two-stage Transformer that fuses multi-modal video, audio, and text features to predict fMRI activity. Representations from open-source models (Qwen2.5, BEATs, W…

math.ST2025

Frequentist Asymptotics of Variational Laplace

Janis Keck

Variational inference is a general framework to obtain approximations to the posterior distribution in a Bayesian context. In essence, variational inference entails an optimization…

cs.LG2025

Merging Hazy Sets with m-Schemes: A Geometric Approach to Data Visualization

Lukas Silvester Barth, Hannaneh Fahimi, Parvaneh Joharinad +2

Many machine learning algorithms try to visualize high dimensional metric data in 2D in such a way that the essential geometric and topological features of the data are highlighted…