Search Results for author: Elizabeth Munch

Found 15 papers, 2 papers with code

Topological Signal Processing using the Weighted Ordinal Partition Network

no code implementations27 Apr 2022 Audun Myers, Firas A. Khasawneh, Elizabeth Munch

For this task, we turn to the field of topological data analysis (TDA), which encodes information about the shape and structure of data.

Change Point Detection Time Series +2

Automatic Tree Ring Detection using Jacobi Sets

no code implementations17 Oct 2020 Kayla Makela, Tim Ophelders, Michelle Quigley, Elizabeth Munch, Daniel Chitwood, Asia Dowtin

Tree ring widths are an important source of climatic and historical data, but measuring these widths typically requires extensive manual work.

Topological Data Analysis

Teaspoon: A comprehensive python package for topological signal processing

no code implementations NeurIPS Workshop TDA_and_Beyond 2020 Audun D Myers, Melih Yesilli, Sarah Tymochko, Firas Khasawneh, Elizabeth Munch

The emerging field of topological signal processing brings methods from Topological Data Analysis (TDA) to create new tools for signal processing by incorporating aspects of shape.

Topological Data Analysis

Bifurcation Analysis using Zigzag Persistence

no code implementations NeurIPS Workshop TDA_and_Beyond 2020 Sarah Tymochko, Elizabeth Munch, Firas Khasawneh

As bifurcations in a dynamical system are drastic behavioral changes, being able to detect when these bifurcations occur can be essential to understanding the system overall.

Time Series

A family of metrics from the truncated smoothing of Reeb graphs

no code implementations15 Jul 2020 Erin Wolf Chambers, Elizabeth Munch, Tim Ophelders

In this paper, we introduce an extension of smoothing on Reeb graphs, which we call truncated smoothing; this in turn allows us to define a new family of metrics which generalize the interleaving distance for Reeb graphs.

Computational Geometry

Fast and Scalable Complex Network Descriptor Using PageRank and Persistent Homology

no code implementations12 Feb 2020 Mustafa Hajij, Elizabeth Munch, Paul Rosen

The PageRank of a graph is a scalar function defined on the node set of the graph which encodes nodes centrality information of the graph.

Graph Similarity

Chatter Diagnosis in Milling Using Supervised Learning and Topological Features Vector

no code implementations27 Oct 2019 Melih C. Yesilli, Sarah Tymochko, Firas A. Khasawneh, Elizabeth Munch

In this study, we use topological features of data simulating cutting tool vibrations, combined with four supervised machine learning algorithms to diagnose chatter in the milling process.

Adaptive Partitioning for Template Functions on Persistence Diagrams

no code implementations18 Oct 2019 Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh

As the field of Topological Data Analysis continues to show success in theory and in applications, there has been increasing interest in using tools from this field with methods for machine learning.

Topological Data Analysis

Persistent Homology of Complex Networks for Dynamic State Detection

no code implementations16 Apr 2019 Audun Myers, Elizabeth Munch, Firas A. Khasawneh

Specifically, we show how persistent homology, a tool from TDA, can be used to yield a compressed, multi-scale representation of the graph that can distinguish between dynamic states such as periodic and chaotic behavior.

Chaotic Dynamics Computational Geometry Information Theory Information Theory Data Analysis, Statistics and Probability

Approximating Continuous Functions on Persistence Diagrams Using Template Functions

2 code implementations19 Feb 2019 Jose A. Perea, Elizabeth Munch, Firas A. Khasawneh

Specifically, we begin by characterizing relative compactness with respect to the bottleneck distance, and then provide explicit theoretical methods for constructing compact-open dense subsets of continuous functions on persistence diagrams.

Time Series Topological Data Analysis

Using Persistent Homology to Quantify a Diurnal Cycle in Hurricane Felix

no code implementations17 Feb 2019 Sarah Tymochko, Elizabeth Munch, Jason Dunion, Kristen Corbosiero, Ryan Torn

The diurnal cycle of tropical cyclones (TCs) is a daily cycle in clouds that appears in satellite images and may have implications for TC structure and intensity.

Topological Data Analysis

Isolating phyllotactic patterns embedded in the secondary growth of sweet cherry (Prunus avium L.) using magnetic resonance imaging

1 code implementation8 Dec 2018 Mitchell Eithun, Daniel H. Chitwood, James Larson, Gregory Lang, Elizabeth Munch

Intensity values from Magnetic Resonance Imaging (MRI) of the trunk are projected onto the surface of a perfect cylinder to find the locations of traces in the "boundary image".

Edge Detection

Chatter Classification in Turning Using Machine Learning and Topological Data Analysis

no code implementations23 Mar 2018 Firas A. Khasawneh, Elizabeth Munch, Jose A. Perea

The features gleaned from the deterministic model are then utilized for characterization of chatter in a stochastic turning model where there are very limited analysis methods.

General Classification Time Series +1

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