Search Results for author:
Found 8 papers, 1 papers with code
$G$-Mapper: Learning a Cover in the Mapper Construction
The Mapper algorithm is a visualization technique in topological data analysis (TDA) that outputs a graph reflecting the structure of a given dataset.
Experimental Observations of the Topology of Convolutional Neural Network Activations
Topological data analysis (TDA) is a branch of computational mathematics, bridging algebraic topology and data science, that provides compact, noise-robust representations of complex structures.
The SVD of Convolutional Weights: A CNN Interpretability Framework
Fully connected layers can be studied by decomposing their weight matrices using a singular value decomposition, in effect studying the correlations between the rows in each matrix to discover the dynamics of the map.
Proceedings of TDA: Applications of Topological Data Analysis to Data Science, Artificial Intelligence, and Machine Learning Workshop at SDM 2022
Topological Data Analysis (TDA) is a rigorous framework that borrows techniques from geometric and algebraic topology, category theory, and combinatorics in order to study the "shape" of such complex high-dimensional data.
Sheaves as a Framework for Understanding and Interpreting Model Fit
As data grows in size and complexity, finding frameworks which aid in interpretation and analysis has become critical.
Argumentative Topology: Finding Loop(holes) in Logic
Advances in natural language processing have resulted in increased capabilities with respect to multiple tasks.
Hypergraph Models of Biological Networks to Identify Genes Critical to Pathogenic Viral Response
Results: We compiled a novel data set of transcriptional host response to pathogenic viral infections and formulated relationships between genes as a hypergraph where hyperedges represent significantly perturbed genes, and vertices represent individual biological samples with specific experimental conditions.
Relative Hausdorff Distance for Network Analysis
Similarity measures are used extensively in machine learning and data science algorithms.
