Browse > Graphs > Topological Data Analysis

Topological Data Analysis

16 papers with code · Graphs

State-of-the-art leaderboards

No evaluation results yet. Help compare methods by submit evaluation metrics.

Greatest papers with code

To Trust Or Not To Trust A Classifier

NeurIPS 2018 SeldonIO/alibi

Knowing when a classifier's prediction can be trusted is useful in many applications and critical for safely using AI.

TOPOLOGICAL DATA ANALYSIS

Deep Learning with Topological Signatures

NeurIPS 2017 c-hofer/nips2017

Inferring topological and geometrical information from data can offer an alternative perspective on machine learning problems.

TOPOLOGICAL DATA ANALYSIS

Persistence Images: A Stable Vector Representation of Persistent Homology

22 Jul 2015scikit-tda/persim

We convert a PD to a finite-dimensional vector representation which we call a persistence image (PI), and prove the stability of this transformation with respect to small perturbations in the inputs.

GRAPH CLASSIFICATION TOPOLOGICAL DATA ANALYSIS

PersLay: A Simple and Versatile Neural Network Layer for Persistence Diagrams

20 Apr 2019MathieuCarriere/perslay

In order to exploit topological information from graph data, we show how graph structures can be encoded in the so-called extended persistence diagrams computed with the heat kernel signatures of the graphs.

GRAPH CLASSIFICATION TOPOLOGICAL DATA ANALYSIS

Topology of Learning in Artificial Neural Networks

21 Feb 2019maximevictor/topo-learning

Understanding how neural networks learn remains one of the central challenges in machine learning research.

TOPOLOGICAL DATA ANALYSIS

A Riemannian Framework for Statistical Analysis of Topological Persistence Diagrams

28 May 2016rushilanirudh/pdsphere

This paper concerns itself with one popular topological feature, which is the number of $d-$dimensional holes in the dataset, also known as the Betti$-d$ number.

TOPOLOGICAL DATA ANALYSIS

Scalable Topological Data Analysis and Visualization for Evaluating Data-Driven Models in Scientific Applications

19 Jul 2019rushilanirudh/icf-jag-cycleGAN

With the rapid adoption of machine learning techniques for large-scale applications in science and engineering comes the convergence of two grand challenges in visualization.

GRAPH CONSTRUCTION TOPOLOGICAL DATA ANALYSIS

Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

ICLR 2019 BorgwardtLab/Neural-Persistence

While many approaches to make neural networks more fathomable have been proposed, they are restricted to interrogating the network with input data.

TOPOLOGICAL DATA ANALYSIS

Persistence Bag-of-Words for Topological Data Analysis

21 Dec 2018bziiuj/pcodebooks

Persistent homology (PH) is a rigorous mathematical theory that provides a robust descriptor of data in the form of persistence diagrams (PDs).

TOPOLOGICAL DATA ANALYSIS