This is the list of all accepted papers. You can find more information
about each submission by following either the *Forum* link or by
visiting the OpenReview Workshop Website.

# Statistics

We received 53 submissions in total, of which we accepted 10 spotlights and 29 poster presentations. All submissions received at least two reviews, which were afterwards weighted, read, and considered by members of the organisation committee independently.

Congratulations to all authors!

# Spotlights

**$k$-simplex2vec: a simplicial extension of node2vec** (Spotlight presentation)

Celia Hacker

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**Characterizing the Latent Space of Molecular Deep Generative Models with Persistent Homology Metrics** (Spotlight presentation)

Yair Schiff • Payel Das • Vijil Chenthamarakshan • Karthikeyan Natesan Ramamurthy

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**giotto-tda: A Topological Data Analysis Toolkit for Machine Learning and Data Exploration** (Spotlight presentation)

Guillaume Tauzin • Umberto Lupo • Lewis Tunstall • Julian Burella Perez • Matteo Caorsi • Wojciech Reise • Anibal Maximiliano Medina-Mardones • Alberto Dassatti • Kathryn Hess

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**Hypothesis classes with a unique persistence diagram are nonuniformly learnable** (Spotlight presentation)

Nicholas Bishop • Thomas Davies • Long Tran-Thanh

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**Multidimensional Persistence Module Classification via Lattice-Theoretic Convolutions** (Spotlight presentation)

Hans Matthew Riess • Jakob Hansen

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**Permutation invariant networks to learn Wasserstein metrics** (Spotlight presentation)

Arijit Sehanobish • Neal G Ravindra • David van Dijk

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**Quantifying barley morphology using the Euler characteristic transform** (Spotlight presentation)

Erik J Amezquita • Michelle Quigley • Tim Ophelders • Jacob Landis • Elizabeth Munch • Daniel Chitwood • Daniel Koenig

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**Sheaf Neural Networks** (Spotlight presentation)

Jakob Hansen • Thomas Gebhart

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**Topo Sampler: A Topology Constrained Noise Sampling for GANs** (Spotlight presentation)

Adrish Dey • Sayantan Das

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**Weighting vectors for machine learning: numerical harmonic analysis applied to boundary detection** (Spotlight presentation)

Eric Bunch • Daniel Dickinson • Jeffery Kline • Glenn Fung

# Accepted Posters

**0-dimensional Homology Preserving Dimensionality Reduction with TopoMap**

Harish Doraiswamy • Julien Tierny • Paulo J.S. Silva • Luis Gustavo Nonato • Cláudio Silva

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**Application of Topological Data Analysis to Delirium Detection**

Mari Kajitani • Ken Kobayashi • Yuichi Ike • Takehiko Yamanashi • Yuhei Umeda • Yoshimasa Kadooka • Gen Shinozaki

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**Bifurcation Analysis using Zigzag Persistence**

Sarah Tymochko • Elizabeth Munch • Firas Khasawneh

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**Can neural networks learn persistent homology features?**

Guido Montufar • Nina Otter • Yu Guang Wang

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**Cell Complex Neural Networks**

Mustafa Hajij • Kyle Istvan • Ghada Zamzmi

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**Challenging Euclidean Topological Autoencoders**

Michael Moor • Max Horn • Karsten Borgwardt • Bastian Rieck

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**Comparing Distance Metrics on Vectorized Persistence Summaries**

Brittany Fasy • Yu Qin • Brian Summa • Carola Wenk

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**Deep Graph Mapper: Seeing Graphs Through the Neural Lens**

Cristian Bodnar • Cătălina Cangea • Pietro Liò

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**Functorial Clustering via Simplicial Complexes**

Dan Shiebler

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**Fuzzy c-Means Clustering for Persistence Diagrams**

Thomas Davies • Jack Aspinall • Bryan Wilder • Long Tran-Thanh

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**Hotspot identification for Mapper graphs**

Ciara Frances Loughrey • Anna Jurek-Loughrey • Nick Orr • Pawel Dlotko

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**Interpretable Phase Detection and Classification with Persistent Homology**

Gregory Loges • Alex Cole • Gary Shiu

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**Learning a manifold from a teacher’s demonstrations**

PEI WANG • Arash Givchi • Patrick Shafto

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**LUMAWIG: Un-bottling the bottleneck distance for zero dimensional persistence diagrams at scale**

Paul Samuel Ignacio • Jay-Anne Bulauan • David Uminsky

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**Multi-parameter hierarchical clustering and beyond**

Alexander Rolle

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**Multi-Parameter Persistent Homology is Practical (Extended Abstract)**

Michael Kerber

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**Multiple Hypothesis Testing with Persistent Homology**

Mikael Vejdemo-Johansson • Sayan Mukherjee

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**Novel Topological Shapes of Model Interpretability**

Hendrik Jacob van Veen

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**On The Topological Expressive Power of Neural Networks**

Giovanni Petri • António Leitão

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**Passive Encrypted IoT Device Fingerprinting with Persistent Homology**

Joe Collins • Michaela Iorga • Dmitry Cousin • David Chapman

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**Regularization of Persistent Homology Gradient Computation**

Padraig Corcoran • Bailin Deng

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**Research Directions to Validate Topological Models of Multi-Dimensional Data**

Nello Blaser • Michael Aupetit

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**Simplicial 2-Complex Convolutional Neural Networks**

Eric Bunch • Qian You • Glenn Fung • Vikas Singh

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**Simplicial Neural Networks**

Stefania Ebli • Michaël Defferrard • Gard Spreemann

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**Teaspoon: A comprehensive python package for topological signal processing**

Audun D Myers • Melih Yesilli • Sarah Tymochko • Firas Khasawneh • Elizabeth Munch

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**Topological Convolutional Neural Networks**

Ephy Love • Benjamin Filippenko • Vasileios Maroulas • Gunnar E. Carlsson

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**Topological Echoes of Primordial Physics in the Universe at Large Scales**

Alex Cole • Matteo Biagetti • Gary Shiu

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**TOTOPO: Classifying univariate and multivariate time series with Topological Data Analysis**

Pilyugina Polina • Rodrigo Rivera-Castro • Evgeny Burnaev

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**Using topological autoencoders as a filtering function for global and local topology**

Filip Cornell

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**Witness Autoencoder: Shaping the Latent Space with Witness Complexes**

Simon Till Schönenberger • Anastasiia Varava • Vladislav Polianskii • Jen Jen Chung • Danica Kragic • Roland Siegwart

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