
Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs
Although neural networks are capable of reaching astonishing performance...
read it

Optimizing persistent homology based functions
Solving optimization tasks based on functions and losses with a topologi...
read it

Efficient Topological Layer based on Persistent Landscapes
We propose a novel topological layer for general deep learning models ba...
read it

Optimal quantization of the mean measure and application to clustering of measures
This paper addresses the case where data come as point sets, or more gen...
read it

Quantitative stability of optimal transport maps and linearization of the 2Wasserstein space
This work studies an explicit embedding of the set of probability measur...
read it

ATOL: Measure Vectorisation for Automatic TopologicallyOriented Learning
Robust topological information commonly comes in the form of a set of pe...
read it

ATOL: Automatic TopologicallyOriented Learning
There are abundant cases for using Topological Data Analysis (TDA) in a ...
read it

Topological Data Analysis for Arrhythmia Detection through Modular Neural Networks
This paper presents an innovative and generic deep learning approach to ...
read it

PersLay: A Neural Network Layer for Persistence Diagrams and New Graph Topological Signatures
Persistence diagrams, the most common descriptors of Topological Data An...
read it

PersLay: A Simple and Versatile Neural Network Layer for Persistence Diagrams
Persistence diagrams, a key descriptor from Topological Data Analysis, e...
read it

A General Neural Network Architecture for Persistence Diagrams and Graph Classification
Graph classification is a difficult problem that has drawn a lot of atte...
read it

DTMbased filtrations
Despite strong stability properties, the persistent homology of filtrati...
read it

The density of expected persistence diagrams and its kernel based estimation
Persistence diagrams play a fundamental role in Topological Data Analysi...
read it

An introduction to Topological Data Analysis: fundamental and practical aspects for data scientists
Topological Data Analysis (tda) is a recent and fast growing eld providi...
read it
Frédéric Chazal
is this you? claim profile