persistent homology - Robuta Search

https://openreview.net/forum?id=1TJaITmK2Q Adaptive Topological Feature via Persistent Homology: Filtration Learning for Point Clouds |... Machine learning for point clouds has been attracting much attention, with many applications in various fields, such as shape recognition and material science.... persistent homology learning for adaptive topological feature https://openreview.net/forum?id=LAhktKxsQv ReLU Neural Networks, Polyhedral Decompositions, and Persistent Homology | OpenReview A ReLU neural network leads to a finite polyhedral decomposition of input space and a corresponding finite dual graph. We show that while this dual graph is a... neural networks persistent homology relu polyhedral decompositions https://openreview.net/forum?id=pqpXM1Wjsxe Can neural networks learn persistent homology features? | OpenReview We show that neural networks can learn several types of features associated with persistence diagrams, using the data sets MNIST and CIFAR-10. neural networks persistent homology learn features openreview https://deepai.org/publication/computing-multiparameter-persistent-homology-through-a-discrete-morse-based-approach Computing multiparameter persistent homology through a discrete Morse-based approach | DeepAI Nov 13, 2018 - 11/13/18 - Persistent Homology (PH) allows tracking homology features like loops, holes and their higher-dimensional analogs, along with a si... persistent homology computing multiparameter https://openreview.net/forum?id=Tw5ra251vLe&referrer=%5Bthe%20profile%20of%20Nicolas%20Boutry%5D(%2Fprofile%3Fid%3D~Nicolas_Boutry1) Some equivalence relation between persistent homology and morphological dynamics | OpenReview In Mathematical Morphology (MM), connected filters based on dynamics are used to filter the extrema of an image. Similarly, persistence is a concept coming... equivalence relation persistent homology morphological dynamics openreview https://openreview.net/forum?id=4mwORQjAim Stable Vectorization of Multiparameter Persistent Homology using Signed Barcodes as Measures |... Persistent homology (PH) provides topological descriptors for geometric data, such as weighted graphs, which are interpretable, stable to perturbations, and... persistent homology stable vectorization multiparameter https://openreview.net/forum?id=WcmqdY2AKu Boosting Graph Pooling with Persistent Homology | OpenReview Recently, there has been an emerging trend to integrate persistent homology (PH) into graph neural networks (GNNs) to enrich expressive power. However, naively... persistent homology boosting graph pooling openreview https://jmlr.org/papers/v24/21-1044.html Intrinsic Persistent Homology via Density-based Metric Learning persistent homology intrinsic via density based https://arxiv.org/abs/2405.04796 [2405.04796] Persistent homology of featured time series data and its applications Abstract page for arXiv paper 2405.04796: Persistent homology of featured time series data and its applications time series data persistent homology https://arxiv.org/abs/2001.02616v1 [2001.02616v1] Finding universal structures in quantum many-body dynamics via persistent homology Abstract page for arXiv paper 2001.02616v1: Finding universal structures in quantum many-body dynamics via persistent homology https://arxiv.org/abs/2011.00918 [2011.00918] Representations of Energy Landscapes by Sublevelset Persistent Homology: An Example... Abstract page for arXiv paper 2011.00918: Representations of Energy Landscapes by Sublevelset Persistent Homology: An Example With n-Alkanes https://arxiv.org/abs/2603.17125 [2603.17125] The Chordal Distance Transform of Geometric Loops and its Persistent Homology Abstract page for arXiv paper 2603.17125: The Chordal Distance Transform of Geometric Loops and its Persistent Homology https://www.kth.se/math/kalender/thomas-chaplin-grounded-persistent-path-homology-a-stable-topological-descriptor-for-weighted-digraphs-1.1203653?date=2022-12-06&orgdate=2022-02-06&length=1&orglength=329 Thomas Chaplin: Grounded persistent path homology: a stable, topological descriptor for weighted... thomas chaplin https://jmlr.org/papers/v24/21-1526.html Outlier-Robust Subsampling Techniques for Persistent Homology outlier robust subsampling techniques persistent