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Found 9 papers, 4 papers with code
EMP: Effective Multidimensional Persistence for Graph Representation Learning
This framework empowers the exploration of data by simultaneously varying multiple scale parameters.
Time-Aware Knowledge Representations of Dynamic Objects with Multidimensional Persistence
In particular, we propose a new approach, named \textit{Temporal MultiPersistence} (TMP), which produces multidimensional topological fingerprints of the data by using the existing single parameter topological summaries.
Chainlet Orbits: Topological Address Embedding for the Bitcoin Blockchain
The rise of cryptocurrencies like Bitcoin, which enable transactions with a degree of pseudonymity, has led to a surge in various illicit activities, including ransomware payments and transactions on darknet markets.
Reduction Algorithms for Persistence Diagrams of Networks: CoralTDA and PrunIT
Second, we introduce a pruning algorithm for graphs to compute their persistence diagrams by removing the dominated vertices.
ToDD: Topological Compound Fingerprinting in Computer-Aided Drug Discovery
In computer-aided drug discovery (CADD), virtual screening (VS) is used for identifying the drug candidates that are most likely to bind to a molecular target in a large library of compounds.
Topological Relational Learning on Graphs
As a result, the new framework enables us to harness both the conventional information on the graph structure and information on the graph higher order topological properties.
TAMP-S2GCNets: Coupling Time-Aware Multipersistence Knowledge Representation with Spatio-Supra Graph Convolutional Networks for Time-Series Forecasting
Graph Neural Networks (GNNs) are proven to be a powerful machinery for learning complex dependencies in multivariate spatio-temporal processes.
Smart Vectorizations for Single and Multiparameter Persistence
We derive theoretical guarantees on the stability of the new saw and multi-persistence grid functions and illustrate their applicability for graph classification tasks.
Geometric Approaches on Persistent Homology
We introduce several geometric notions, including the width of a homology class, to the theory of persistent homology.
Algebraic Topology Computational Geometry Geometric Topology 55N31, 55U10, 57R19, 62R40
