Cover Image

MANTRA: The Manifold Triangulations Assemblage

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Ballester, Rubén, Röell, Ernst, Schmid, Daniel Bīn, Alain, Mathieu, Escalera, Sergio, Casacuberta, Carles, Rieck, Bastian
Format:	Preprint
Published:	2024
Subjects:	Machine Learning Algebraic Topology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

No Triangulation Without Representation: Generalization in Topological Deep Learning
by: Schmidt, Johannes S., et al.
Published: (2026)

Topological Data Analysis for Neural Network Analysis: A Comprehensive Survey
by: Ballester, Rubén, et al.
Published: (2023)

Have Graph -- Will Lift? The Case for Higher-Order Benchmarks
by: Rieck, Bastian
Published: (2026)

On the Expressivity of Persistent Homology in Graph Learning
by: Ballester, Rubén, et al.
Published: (2023)

Diss-l-ECT: Dissecting Graph Data with Local Euler Characteristic Transforms
by: von Rohrscheidt, Julius, et al.
Published: (2024)

Mapping the Multiverse of Latent Representations
by: Wayland, Jeremy, et al.
Published: (2024)

Simplicial Representation Learning with Neural $k$-Forms
by: Maggs, Kelly, et al.
Published: (2023)

Attending to Topological Spaces: The Cellular Transformer
by: Ballester, Rubén, et al.
Published: (2024)

Geometry-Aware Simplicial Message Passing
by: Wang, Elena Xinyi, et al.
Published: (2026)

Molecular Machine Learning Using Euler Characteristic Transforms
by: Toscano-Duran, Victor, et al.
Published: (2025)

Persistent Homology via Ellipsoids
by: Canova, Niklas, et al.
Published: (2024)

The Manifold Density Function: An Intrinsic Method for the Validation of Manifold Learning
by: Holmgren, Benjamin, et al.
Published: (2024)

Topology meets Machine Learning: An Introduction using the Euler Characteristic Transform
by: Rieck, Bastian
Published: (2024)

Differentiable Euler Characteristic Transforms for Shape Classification
by: Roell, Ernst, et al.
Published: (2023)

Motif-based filtrations for persistent homology: A framework for graph isomorphism and property prediction
by: Vila-Miñana, Meritxell, et al.
Published: (2026)

The magnitude vector of images
by: Adamer, Michael F., et al.
Published: (2021)

Point Cloud Synthesis Using Inner Product Transforms
by: Röell, Ernst, et al.
Published: (2024)

Chordless cycle filtrations for dimensionality detection in complex networks via topological data analysis
by: Marcús, Aina Ferrà, et al.
Published: (2025)

ToMAToMP: Robust and Multi-Parameter Topological Clustering
by: Andrianirina, Ludo, et al.
Published: (2026)

Stability, Complexity and Data-Dependent Worst-Case Generalization Bounds
by: Tuci, Mario, et al.
Published: (2025)

Differentiable Mapper For Topological Optimization Of Data Representation
by: Oulhaj, Ziyad, et al.
Published: (2024)

Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
by: Blumberg, Andrew J., et al.
Published: (2024)

Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures
by: Loiseaux, David, et al.
Published: (2023)

Dynamic Neural Dowker Network: Approximating Persistent Homology in Dynamic Directed Graphs
by: Li, Hao, et al.
Published: (2024)

Topological Generalization Bounds for Discrete-Time Stochastic Optimization Algorithms
by: Andreeva, Rayna, et al.
Published: (2024)

Boosting Graph Pooling with Persistent Homology
by: Ying, Chaolong, et al.
Published: (2024)

Topological Blindspots: Understanding and Extending Topological Deep Learning Through the Lens of Expressivity
by: Eitan, Yam, et al.
Published: (2024)

Persistence kernels for classification: A comparative study
by: Bandiziol, Cinzia, et al.
Published: (2024)

xPerT: Extended Persistence Transformer
by: Kim, Sehun
Published: (2024)

Graphcode: Learning from multiparameter persistent homology using graph neural networks
by: Kerber, Michael, et al.
Published: (2024)

SIMAP: A simplicial-map layer for neural networks
by: Gonzalez-Diaz, Rocio, et al.
Published: (2024)

Simplicial covering dimension of extremal concept classes
by: Blondal, Ari, et al.
Published: (2025)

Quasi Zigzag Persistence: A Topological Framework for Analyzing Time-Varying Data
by: Dey, Tamal K., et al.
Published: (2025)

Probabilistic Foundations of Fuzzy Simplicial Sets for Nonlinear Dimensionality Reduction
by: Keck, Janis, et al.
Published: (2025)

Fast Topological Signal Identification and Persistent Cohomological Cycle Matching
by: García-Redondo, Inés, et al.
Published: (2022)

Contraction and Hourglass Persistence for Learning on Graphs, Simplices, and Cells
by: Ji, Mattie, et al.
Published: (2026)

Towards Scalable Topological Regularizers
by: Wong, Hiu-Tung, et al.
Published: (2025)

Stability for Inference with Persistent Homology Rank Functions
by: Wang, Qiquan, et al.
Published: (2023)

Disentangling the Spectral Properties of the Hodge Laplacian: Not All Small Eigenvalues Are Equal
by: Grande, Vincent P., et al.
Published: (2023)

Torsion in Persistent Homology and Neural Networks
by: Walch, Maria
Published: (2025)