activity
20192026
most citedNilpotent Types and Fracture Squares in Homotopy Type Theory

5 citations · 9 across the 4 of their papers we have counts for

collaborators

8 papers

cs.LG2026

Conversational Task Disambiguation over Tabular Data: Leakage-Aware Formulation, Benchmark Suite, and Training

Nafiseh Ghoroghchian, Luis Scoccola, Tina Sedaghat +4

Conversational task disambiguation over tabular data uses dialogue to resolve missing information about a user's intended task before producing a solution over tables or databases.…

cs.LG2025

Cover Learning for Large-Scale Topology Representation

Luis Scoccola, Uzu Lim, Heather A. Harrington

Classical unsupervised learning methods like clustering and linear dimensionality reduction parametrize large-scale geometry when it is discrete or linear, while more modern method…

cs.CG2022

Toroidal Coordinates: Decorrelating Circular Coordinates With Lattice Reduction

Luis Scoccola, Hitesh Gakhar, Johnathan Bush +4

The circular coordinates algorithm of de Silva, Morozov, and Vejdemo-Johansson takes as input a dataset together with a cohomology class representing a -dimensional hole in the…

cs.CG2022

FibeRed: Fiberwise Dimensionality Reduction of Topologically Complex Data with Vector Bundles

Luis Scoccola, Jose A. Perea

Datasets with non-trivial large scale topology can be hard to embed in low-dimensional Euclidean space with existing dimensionality reduction algorithms. We propose to model topolo…

math.AT2021★ 4 cited

Approximate and discrete Euclidean vector bundles

Luis Scoccola, Jose A. Perea

We introduce -approximate versions of the notion of Euclidean vector bundle for , which recover the classical notion of Euclidean vector bundle whe…

math.ST2020

Stable and consistent density-based clustering via multiparameter persistence

Alexander Rolle, Luis Scoccola

We consider the degree-Rips construction from topological data analysis, which provides a density-sensitive, multiparameter hierarchical clustering algorithm. We analyze its stabil…

math.AT2019★ 5 cited

Nilpotent Types and Fracture Squares in Homotopy Type Theory

Luis Scoccola

We develop the basic theory of nilpotent types and their localizations away from sets of numbers in Homotopy Type Theory. For this, general results about the classifying spaces of…

stat.ML2019

Visualization tools for parameter selection in cluster analysis

Alexander Rolle, Luis Scoccola

We propose an algorithm, HPREF (Hierarchical Partitioning by Repeated Features), that produces a hierarchical partition of a set of clusterings of a fixed dataset, such as sets of…