Cover Image

CuMPerLay: Learning Cubical Multiparameter Persistence Vectorizations

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Korkmaz, Caner, Nuwagira, Brighton, Coşkunuzer, Barış, Birdal, Tolga
Format:	Preprint
Published:	2025
Subjects:	Computer Vision and Pattern Recognition Artificial Intelligence Machine Learning Algebraic Topology
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

TopOC: Topological Deep Learning for Ovarian and Breast Cancer Diagnosis
by: Fatema, Saba, et al.
Published: (2024)

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

Generalization at the Edge of Stability
by: Tuci, Mario, et al.
Published: (2026)

Parallelised Differentiable Straightest Geodesics for 3D Meshes
by: Verninas, Hippolyte, et al.
Published: (2026)

TUN: Detecting Significant Points in Persistence Diagrams with Deep Learning
by: Chen, Yu, et al.
Published: (2025)

Vectorization of Persistence Diagrams for Topological Data Analysis in R and Python Using TDAvec Package
by: Luchinsky, Aleksei, et al.
Published: (2024)

Geometric Bounds for Persistence
by: Balitskiy, Alexey, et al.
Published: (2024)

Topological Methods in Machine Learning: A Tutorial for Practitioners
by: Coskunuzer, Baris, et al.
Published: (2024)

Mix-GENEO: A Flexible Filtration for Multiparameter Persistent Homology Detects Digital Images
by: He, Jiaxing, et al.
Published: (2024)

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

Efficient Betti Matching Enables Topology-Aware 3D Segmentation via Persistent Homology
by: Stucki, Nico, et al.
Published: (2024)

Persistent Homology for MCI Classification: A Comparative Analysis between Graph and Vietoris-Rips Filtrations
by: Bhattacharya, Debanjali, et al.
Published: (2024)

Large Learning Rates Simultaneously Achieve Robustness to Spurious Correlations and Compressibility
by: Barsbey, Melih, et al.
Published: (2025)

D-GRIL: End-to-End Topological Learning with 2-parameter Persistence
by: Mukherjee, Soham, et al.
Published: (2024)

Line Graph Vietoris-Rips Persistence Diagram for Topological Graph Representation Learning
by: Shin, Jaesun, et al.
Published: (2024)

Topology-Aware Representation Alignment for Semi-Supervised Vision-Language Learning
by: You, Junwon, et al.
Published: (2026)

Topological Quality of Subsets via Persistence Matching Diagrams
by: Torras-Casas, Álvaro, et al.
Published: (2023)

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

Adversarial Attacks Leverage Interference Between Features in Superposition
by: Stevinson, Edward, et al.
Published: (2025)

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

The Convex Matching Distance in Multiparameter Persistence
by: Conti, Francesco, et al.
Published: (2025)

Analyzing Brain Tumor Connectomics using Graphs and Persistent Homology
by: Bhattacharya, Debanjali, et al.
Published: (2024)

On the Interaction of Compressibility and Adversarial Robustness
by: Barsbey, Melih, et al.
Published: (2025)

A Schauder Basis for Multiparameter Persistence
by: Bubenik, Peter, et al.
Published: (2025)

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

Probabilistic Sampling of Balanced K-Means using Adiabatic Quantum Computing
by: Zaech, Jan-Nico, et al.
Published: (2023)

Grokking at the Edge of Numerical Stability
by: Prieto, Lucas, et al.
Published: (2025)

Variational Inference for Lévy Process-Driven SDEs via Neural Tilting
by: Kindap, Yaman, et al.
Published: (2026)

An Extended Topological Model For High-Contrast Optical Flow
by: Turow, Brad, et al.
Published: (2026)

Emotion recognition in talking-face videos using persistent entropy and neural networks
by: Paluzo-Hidalgo, Eduardo, et al.
Published: (2021)

Topology Estimation of Simulated 4D Image Data by Combining Downscaling and Convolutional Neural Networks
by: Hannouch, Khalil Mathieu, et al.
Published: (2023)

A Topological Data Analysis Framework for Quantifying Necrosis in Glioblastomas
by: Tellez, Francisco, et al.
Published: (2025)

From Data Statistics to Feature Geometry: How Correlations Shape Superposition
by: Prieto, Lucas, et al.
Published: (2026)

The Shape of Adversarial Influence: Characterizing LLM Latent Spaces with Persistent Homology
by: Fay, Aideen, et al.
Published: (2025)

Scale-Free Image Keypoints Using Differentiable Persistent Homology
by: Barbarani, Giovanni, et al.
Published: (2024)

Probabilistic Analysis of Multiparameter Persistence Decompositions
by: Alonso, Ángel Javier, et al.
Published: (2024)

Scalar Function Topology Divergence: Comparing Topology of 3D Objects
by: Trofimov, Ilya, et al.
Published: (2024)

Natural Image Classification via Quasi-Cyclic Graph Ensembles and Random-Bond Ising Models at the Nishimori Temperature
by: Usatyuk, V. S., et al.
Published: (2025)

MPerS: Dynamic MLLM MixExperts Perception-Guided Remote Sensing Scene Segmentation
by: Wang, Ziyi, et al.
Published: (2026)

Trainable and Explainable Simplicial Map Neural Networks
by: Paluzo-Hidalgo, Eduardo, et al.
Published: (2023)