Topological fingerprints for audio identification

Autor: Reise, Wojciech, Fernández, Ximena, Dominguez, Maria, Harrington, Heather A., Beguerisse-Díaz, Mariano

We present a topological audio fingerprinting approach for robustly identifying duplicate audio tracks. Our method applies persistent homology on local spectral decompositions of audio signals, using filtered cubical complexes computed from mel-spect

Externí odkaz: http://arxiv.org/abs/2309.03516

Topological phase estimation method for reparameterized periodic functions

Autor: Bonis, Thomas, Chazal, Frédéric, Michel, Bertrand, Reise, Wojciech

We consider a signal composed of several periods of a periodic function, of which we observe a noisy reparametrisation. The phase estimation problem consists of finding that reparametrisation, and, in particular, the number of observed periods. Exist

Externí odkaz: http://arxiv.org/abs/2205.14390

giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration

Autor: Tauzin, Guillaume, Lupo, Umberto, Tunstall, Lewis, Pérez, Julian Burella, Caorsi, Matteo, Reise, Wojciech, Medina-Mardones, Anibal, Dassatti, Alberto, Hess, Kathryn

Publikováno v: NeurIPS 2020 workshop "Topological Data Analysis and beyond" (https://openreview.net/forum?id=fjQtZJOCTXf); JMLR 22 (https://www.jmlr.org/papers/v22/20-325.html)

We introduce giotto-tda, a Python library that integrates high-performance topological data analysis with machine learning via a scikit-learn-compatible API and state-of-the-art C++ implementations. The library's ability to handle various types of da

Externí odkaz: http://arxiv.org/abs/2004.02551

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