Topology and geometry of data manifold in deep learning. - German Magai; Anton Ayzenberg (CoRR, 2022)

Chordal Embeddings Based on Topology of the Tonal Space. - Anton Ayzenberg; Maxim Beketov; Aleksandra Burashnikova; German Magai; Anton Polevoi; Ivan Shanin; Konstantin Sorokin (EvoMUSART@EvoStar, 2023)

ICML 2023 Topological Deep Learning Challenge: Design and Results. - Mathilde Papillon; Mustafa Hajij; Audun Myers; Florian Frantzen; Ghada Zamzmi; Helen Jenne; Johan Mathe; Josef Hoppe; Michael T. Schaub; Theodore Papamarkou; Aldo Guzmán-Sáenz; Bastian Rieck; et al. (TAG-ML, 2023)

Explaining the Transfer Learning Ability of a Deep Neural Networks by Means of Representations. - German Magai; Artem Soroka (xAI (Late-breaking Work, Demos, Doctoral Consortium), 2023)

Deep neural networks architectures from the perspective of manifold learning. - German Magai (CoRR, 2023)

Global cognitive graph properties dynamics of hippocampal formation. - Konstantin Sorokin; Andrey Zaitsev; Aleksandr Levin; German Magai; Maxim Beketov; Vladimir Sotskov (CoRR, 2023)

ICML 2023 Topological Deep Learning Challenge : Design and Results. - Mathilde Papillon; Mustafa Hajij; Florian Frantzen; Josef Hoppe; Helen Jenne; Johan Mathe; Audun Myers; Theodore Papamarkou; Michael T. Schaub; Ghada Zamzmi; Tolga Birdal; Tamal K. Dey; et al. (CoRR, 2023)

Artificial Text Boundary Detection with Topological Data Analysis and Sliding Window Techniques. - Laida Kushnareva; Tatiana Gaintseva; German Magai; Serguei Barannikov; Dmitry Abulkhanov; Kristian Kuznetsov; Irina Piontkovskaya; Sergey I. Nikolenko (CoRR, 2023)

Robust AI-Generated Text Detection by Restricted Embeddings. - Kristian Kuznetsov; Eduard Tulchinskii; Laida Kushnareva; German Magai; Serguei Barannikov; Sergey I. Nikolenko; Irina Piontkovskaya (EMNLP (Findings), 2024)

Applying language models to algebraic topology: generating simplicial cycles using multi-labeling in Wu's formula. - Kirill Brilliantov; Fedor Pavutnitskiy; Dmitry Pasechnyuk; German Magai (ICML, 2024)

Improving Interpretability and Robustness for the Detection of AI-Generated Images. - Tatiana Gaintseva; Laida Kushnareva; German Magai; Irina Piontkovskaya; Sergey I. Nikolenko; Martin Benning; Serguei Barannikov; Gregory G. Slabaugh (CoRR, 2024)

ICML Topological Deep Learning Challenge 2024: Beyond the Graph Domain. - Guillermo Bernárdez; Lev Telyatnikov; Marco Montagna; Federica Baccini; Mathilde Papillon; Miquel Ferriol Galmés; Mustafa Hajij; Theodore Papamarkou; Maria Sofia Bucarelli; Olga Zaghen; Johan Mathe; Audun Myers; et al. (CoRR, 2024)

Sheaf theory: from deep geometry to deep learning. - Anton Ayzenberg; Thomas Gebhart; German Magai; Grigory Solomadin (CoRR, 2025)