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09/09/2023
Comparing Morse Complexes Using Optimal Transport: An Experimental Study
Morse complexes and Morse-Smale complexes are topological descriptors po...
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07/28/2023
TROPHY: A Topologically Robust Physics-Informed Tracking Framework for Tropical Cyclones
Tropical cyclones (TCs) are among the most destructive weather systems. ...
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07/27/2023
Bounding the Interleaving Distance for Geometric Graphs with a Loss Function
A geometric graph is an abstract graph along with an embedding of the gr...
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07/10/2023
Interpreting and generalizing deep learning in physics-based problems with functional linear models
Although deep learning has achieved remarkable success in various scient...
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06/01/2023
Labeled Interleaving Distance for Reeb Graphs
Merge trees, contour trees, and Reeb graphs are graph-based topological ...
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05/05/2023
Contrastive Learning for Sleep Staging based on Inter Subject Correlation
In recent years, multitudes of researches have applied deep learning to ...
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04/23/2023
TopoSZ: Preserving Topology in Error-Bounded Lossy Compression
Existing error-bounded lossy compression techniques control the pointwis...
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03/14/2023
Meta-Diagrams for 2-Parameter Persistence
We first introduce the notion of meta-rank for a 2-parameter persistence...
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02/06/2023
Flexible and Probabilistic Topology Tracking with Partial Optimal Transport
In this paper, we present a flexible and probabilistic framework for tra...
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12/01/2022
Experimental Observations of the Topology of Convolutional Neural Network Activations
Topological data analysis (TDA) is a branch of computational mathematics...
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09/19/2022
Multilevel Robustness for 2D Vector Field Feature Tracking, Selection, and Comparison
Critical point tracking is a core topic in scientific visualization for ...
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08/15/2022
Reduced Connectivity for Local Bilinear Jacobi Sets
We present a new topological connection method for the local bilinear co...
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08/14/2022
Untangling Force-Directed Layouts Using Persistent Homology
Force-directed layouts belong to a popular class of methods used to posi...
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08/14/2022
The SVD of Convolutional Weights: A CNN Interpretability Framework
Deep neural networks used for image classification often use convolution...
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05/03/2022
Residual Graph Convolutional Recurrent Networks For Multi-step Traffic Flow Forecasting
Traffic flow forecasting is essential for traffic planning, control and ...
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03/21/2022
STCGAT: Spatial-temporal causal networks for complex urban road traffic flow prediction
Traffic forecasting is an essential component of intelligent transportat...
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12/07/2021
Hypergraph Co-Optimal Transport: Metric and Categorical Properties
Hypergraphs capture multi-way relationships in data, and they have conse...
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07/29/2021
Geometry-Aware Merge Tree Comparisons for Time-Varying Data with Interleaving Distances
Merge trees, a type of topological descriptor, serve to identify and sum...
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07/23/2021
Graph Pseudometrics from a Topological Point of View
We explore pseudometrics for directed graphs in order to better understa...
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06/25/2021
Pheno-Mapper: An Interactive Toolbox for the Visual Exploration of Phenomics Data
High-throughput technologies to collect field data have made observation...
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06/23/2021
Statistical Rendering for Visualization of Red Sea Eddy Simulation Data
Analyzing the effects of ocean eddies is important in oceanology for gai...
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06/01/2021
Scalar Field Comparison with Topological Descriptors: Properties and Applications for Scientific Visualization
In topological data analysis and visualization, topological descriptors ...
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06/01/2021
Visualization in Astrophysics: Developing New Methods, Discovering Our Universe, and Educating the Earth
We present a state-of-the-art report on visualization in astrophysics. W...
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05/05/2021
Stitch Fix for Mapper and Topological Gains
The mapper construction is a powerful tool from topological data analysi...
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04/22/2021
Topological Simplifications of Hypergraphs
We study hypergraph visualization via its topological simplification. We...
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04/06/2021
VERB: Visualizing and Interpreting Bias Mitigation Techniques for Word Representations
Word vector embeddings have been shown to contain and amplify biases in ...
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04/02/2021
Plot2API: Recommending Graphic API from Plot via Semantic Parsing Guided Neural Network
Plot-based Graphic API recommendation (Plot2API) is an unstudied but mea...
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02/24/2021
Two Problems about Monomial Bent Functions
In 2008, Langevin and Leander determined the dual function of three clas...
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01/27/2021
Parallelizing the Unpacking and Clustering of Detector Data for Reconstruction of Charged Particle Tracks on Multi-core CPUs and Many-core GPUs
We present results from parallelizing the unpacking and clustering steps...
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01/08/2021
Sketching Merge Trees for Scientific Data Visualization
Merge trees are a type of topological descriptors that record the connec...
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11/22/2020
Spatio-Temporal Visualization of Interdependent Battery Bus Transit and Power Distribution Systems
The high penetration of transportation electrification and its associate...
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11/06/2020
Mapper Interactive: A Scalable, Extendable, and Interactive Toolbox for the Visual Exploration of High-Dimensional Data
The mapper algorithm is a popular tool from topological data analysis fo...
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11/02/2020
Interpreting Graph Drawing with Multi-Agent Reinforcement Learning
Applying machine learning techniques to graph drawing has become an emer...
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01/19/2020
FIS-Nets: Full-image Supervised Networks for Monocular Depth Estimation
This paper addresses the importance of full-image supervision for monocu...
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12/19/2019
MVF Designer: Design and Visualization of Morse Vector Fields
Vector field design on surfaces was originally motivated by applications...
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12/19/2019
A Restrained Paillier Cryptosystem and Its Applications for Access Control of Common Secret
The modified Paillier cryptosystem has become extremely popular and appl...
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12/13/2019
Uncertainty Visualization of 2D Morse Complex Ensembles Using Statistical Summary Maps
Morse complexes are gradient-based topological descriptors with close co...
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12/13/2019
TopoAct: Exploring the Shape of Activations in Deep Learning
Deep neural networks such as GoogLeNet and ResNet have achieved superhum...
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09/11/2019
Mathematical Foundations in Visualization
Mathematical concepts and tools have shaped the field of visualization i...
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09/08/2019
Probabilistic Convergence and Stability of Random Mapper Graphs
We study the probabilistic convergence between the mapper graph and the ...
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07/31/2019
A Structural Average of Labeled Merge Trees for Uncertainty Visualization
Physical phenomena in science and engineering are frequently modeled usi...
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07/31/2019
Intrinsic Interleaving Distance for Merge Trees
Merge trees are a type of graph-based topological summary that tracks th...
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03/20/2019
Local Versus Global Distances for Zigzag Persistence Modules
This short note establishes explicit and broadly applicable relationship...
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12/13/2018
The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs
Metric graphs are meaningful objects for modeling complex structures tha...
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10/12/2018
Topological Inference of Manifolds with Boundary
Given a set of data points sampled from some underlying space, there are...
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09/26/2018
A Kernel for Multi-Parameter Persistent Homology
Topological data analysis and its main method, persistent homology, prov...
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06/22/2018
Homology-Preserving Dimensionality Reduction via Manifold Landmarking and Tearing
Dimensionality reduction is an integral part of data visualization. It i...
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01/09/2018
Discrete Stratified Morse Theory: A User's Guide
Inspired by the works of Forman on discrete Morse theory, which is a com...
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12/20/2017
Sheaf-Theoretic Stratification Learning
In this paper, we investigate a sheaf-theoretic interpretation of strati...
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12/18/2017
