Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology

23 December 2018

Bastian Alexander Rieck

Papers citing "Neural Persistence: A Complexity Measure for Deep Neural Networks Using Algebraic Topology"

30 / 30 papers shown

Title
Topology-Aware CLIP Few-Shot Learning Dazhi Huang VLM 40 0 0 03 May 2025
A Relative Homology Theory of Representation in Neural Networks Kosio Beshkov 99 0 0 17 Feb 2025
Topology of Out-of-Distribution Examples in Deep Neural Networks Esha Datta Johanna Hennig Eva Domschot Connor Mattes Michael R. Smith 72 0 0 21 Jan 2025
Addressing caveats of neural persistence with deep graph persistence Leander Girrbach Anders Christensen Ole Winther Zeynep Akata A. Sophia Koepke GNN 28 1 0 20 Jul 2023
Deep neural networks architectures from the perspective of manifold learning German Magai AAML AI4CE 24 6 0 06 Jun 2023
Estimating class separability of text embeddings with persistent homology Kostis Gourgoulias Najah F. Ghalyan Maxime Labonne Yash Satsangi Sean J. Moran Joseph Sabelja 35 0 0 24 May 2023
Do Neural Networks Generalize from Self-Averaging Sub-classifiers in the Same Way As Adaptive Boosting? Michael Sun Peter Chatain AI4CE 24 0 0 14 Feb 2023
Generalization Bounds with Data-dependent Fractal Dimensions Benjamin Dupuis George Deligiannidis Umut cSimcsekli AI4CE 39 12 0 06 Feb 2023
Can Persistent Homology provide an efficient alternative for Evaluation of Knowledge Graph Completion Methods? Anson Bastos Kuldeep Singh Abhishek Nadgeri Johannes Hoffart Toyotaro Suzumura Manish Singh 25 3 0 30 Jan 2023
Experimental Observations of the Topology of Convolutional Neural Network Activations Emilie Purvine Davis Brown Brett Jefferson C. Joslyn Brenda Praggastis Archit Rathore Madelyn Shapiro Bei Wang Youjia Zhou AI4CE 45 12 0 01 Dec 2022
Internal Representations of Vision Models Through the Lens of Frames on Data Manifolds Henry Kvinge Grayson Jorgenson Davis Brown Charles Godfrey Tegan H. Emerson 52 2 0 19 Nov 2022
Zeroth-Order Topological Insights into Iterative Magnitude Pruning Aishwarya H. Balwani J. Krzyston 32 2 0 14 Jun 2022
BERTops: Studying BERT Representations under a Topological Lens Jatin Chauhan Manohar Kaul 24 3 0 02 May 2022
Approximating Persistent Homology for Large Datasets Yueqi Cao Anthea Monod 16 9 0 19 Apr 2022
Topology and geometry of data manifold in deep learning German Magai A. Ayzenberg AAML 21 11 0 19 Apr 2022
Intrinsic Dimension, Persistent Homology and Generalization in Neural Networks Tolga Birdal Aaron Lou Leonidas J. Guibas Umut cSimcsekli 30 61 0 25 Nov 2021
Leveraging the Graph Structure of Neural Network Training Dynamics Fatemeh Vahedian Ruiyu Li Puja Trivedi Di Jin Danai Koutra AI4CE GNN 21 3 0 09 Nov 2021
Activation Landscapes as a Topological Summary of Neural Network Performance Matthew Wheeler Jose J. Bouza Peter Bubenik 34 19 0 19 Oct 2021
Topological Detection of Trojaned Neural Networks Songzhu Zheng Yikai Zhang H. Wagner Mayank Goswami Chao Chen AAML 29 40 0 11 Jun 2021
Topological Uncertainty: Monitoring trained neural networks through persistence of activation graphs Théo Lacombe Yuichi Ike Mathieu Carrière Frédéric Chazal Marc Glisse Yuhei Umeda 29 20 0 07 May 2021
A survey on shape-constraint deep learning for medical image segmentation Simon Bohlender Ilkay Oksuz Anirban Mukhopadhyay 3DV 24 34 0 19 Jan 2021
Neural Network Approximations for Calabi-Yau Metrics Vishnu Jejjala D. M. Peña Challenger Mishra 29 52 0 31 Dec 2020
Topological Regularization via Persistence-Sensitive Optimization Arnur Nigmetov Aditi S. Krishnapriyan Nicole F. Sanderson Dmitriy Morozov AAML 14 6 0 10 Nov 2020
Topologically Densified Distributions Christoph Hofer Florian Graf Marc Niethammer Roland Kwitt 27 15 0 12 Feb 2020
A Topological Loss Function for Deep-Learning based Image Segmentation using Persistent Homology J. Clough Nicholas Byrne Ilkay Oksuz Zhenzhong Lan Julia A. Schnabel A. King 36 218 0 04 Oct 2019
PI-Net: A Deep Learning Approach to Extract Topological Persistence Images Anirudh Som Hongjun Choi K. Ramamurthy M. Buman P. Turaga 3DH 29 29 0 05 Jun 2019
Persistence Bag-of-Words for Topological Data Analysis Bartosz Zieliñski Michal Lipinski M. Juda Matthias Zeppelzauer Paweł Dłotko 22 22 0 21 Dec 2018
Methods for Interpreting and Understanding Deep Neural Networks G. Montavon Wojciech Samek K. Müller FaML 234 2,238 0 24 Jun 2017
Google's Neural Machine Translation System: Bridging the Gap between Human and Machine Translation Yonghui Wu M. Schuster Z. Chen Quoc V. Le Mohammad Norouzi ... Alex Rudnick Oriol Vinyals G. Corrado Macduff Hughes J. Dean AIMat 716 6,746 0 26 Sep 2016
Statistical topological data analysis using persistence landscapes Peter Bubenik 112 846 0 27 Jul 2012