106 citations · 628 across the 38 of their papers we have counts for
40 papers
Bridging persistence of discrete and continuous 1D maps: Total variation, permutation equivalence, and diagonal affine transformations
Matthew Blake, Firas A. Khasawneh
Fundamental to the field of topological signal processing (TSP) is the \textit{persistence diagram} (PD), or barcode, of a signal, which gives noise-resistant measures of topologic…
P-Bifurcations in Stochastic Flutter Model Under Turbulence
Sunia Tanweer, Firas A. Khasawneh
Aeroelastic flutter represents a critical nonlinear instability arising from the coupling between structural elasticity and unsteady aerodynamics. In deterministic settings, flutte…
The Walk-Length Filtration for Persistent Homology on Weighted Directed Graphs
David E. Muñoz, Elizabeth Munch, Firas A. Khasawneh
Directed graphs arise in many applications where computing persistent homology helps to encode the shape and structure of the input information. However, there are only a few ways…
Dynamical System Parameter Path Optimization using Persistent Homology
Max M. Chumley, Firas A. Khasawneh
Nonlinear dynamical systems are complex and typically only simple systems can be analytically studied. In applications, these systems are usually defined with a set of tunable para…
Use of Topological Data Analysis for the Detection of Phenomenological Bifurcations in Stochastic Epidemiological Models
Sunia Tanweer, Konstantinos Mamis, Firas A. Khasawneh
We investigate predictions of stochastic compartmental models on the severity of disease outbreaks. The models we consider are the Susceptible-Infected-Susceptible (SIS) for bacter…
Hall Effect Thruster Forecasting using a Topological Approach for Data Assimilation
Max M. Chumley, Firas A. Khasawneh
Hall Effect Thrusters (HETs) are electric thrusters that eject heavy ionized gas particles from the spacecraft to generate thrust. Although traditionally they were used for station…
Topological Approach for Data Assimilation
Max M. Chumley, Firas A. Khasawneh
Many dynamical systems are difficult or impossible to model using high fidelity physics based models. Consequently, researchers are relying more on data driven models to make predi…
Topological Detection of Phenomenological Bifurcations with Unreliable Kernel Densities
Sunia Tanweer, Firas A. Khasawneh
Phenomenological (P-type) bifurcations are qualitative changes in stochastic dynamical systems whereby the stationary probability density function (PDF) changes its topology. The c…
A Nonlinear Delay Model for Metabolic Oscillations in Yeast Cells
Max M. Chumley, Firas A. Khasawneh, Andreas Otto +1
We introduce two time-delay models of metabolic oscillations in yeast cells. Our model tests a hypothesis that the oscillations occur as multiple pathways share a limited resource…
A Topological Framework for Identifying Phenomenological Bifurcations in Stochastic Dynamical Systems
Sunia Tanweer, Firas A. Khasawneh, Elizabeth Munch +1
Changes in the parameters of dynamical systems can cause the state of the system to shift between different qualitative regimes. These shifts, known as bifurcations, are critical t…
Robust Zero-crossings Detection in Noisy Signals using Topological Signal Processing
Sunia Tanweer, Firas A. Khasawneh, Elizabeth Munch
We explore a novel application of zero-dimensional persistent homology from Topological Data Analysis (TDA) for bracketing zero-crossings of both one-dimensional continuous functio…
Pattern Characterization Using Topological Data Analysis: Application to Piezo Vibration Striking Treatment
Max M. Chumley, Melih C. Yesilli, Jisheng Chen +2
Quantifying patterns in visual or tactile textures provides important information about the process or phenomena that generated these patterns. In manufacturing, these patterns can…
Topological Measures for Pattern quantification of Impact Centers in Piezo Vibration Striking Treatment (PVST)
Melih C. Yesilli, Max M. Chumley, Jisheng Chen +2
Surface texture influences wear and tribological properties of manufactured parts, and it plays a critical role in end-user products. Therefore, quantifying the order or structure…
Detecting bifurcations in dynamical systems with CROCKER plots
İsmail Güzel, Elizabeth Munch, Firas A. Khasawneh
Existing tools for bifurcation detection from signals of dynamical systems typically are either limited to a special class of systems, or they require carefully chosen input parame…
Persistent Homology of Coarse Grained State Space Networks
Audun D. Myers, Max M. Chumley, Firas A. Khasawneh +1
This work is dedicated to the topological analysis of complex transitional networks for dynamic state detection. Transitional networks are formed from time series data and they lev…
Temporal Network Analysis Using Zigzag Persistence
Audun Myers, David Muñoz, Firas Khasawneh +1
This work presents a framework for studying temporal networks using zigzag persistence, a tool from the field of Topological Data Analysis (TDA). The resulting approach is general…
Topological Signal Processing using the Weighted Ordinal Partition Network
Audun Myers, Firas A. Khasawneh, Elizabeth Munch
One of the most important problems arising in time series analysis is that of bifurcation, or change point detection. That is, given a collection of time series over a varying para…
Automated Surface Texture Analysis via Discrete Cosine Transform and Discrete Wavelet Transform
Melih C. Yesilli, Jisheng Chen, Firas A. Khasawneh +1
Surface roughness and texture are critical to the functional performance of engineering components. The ability to analyze roughness and texture effectively and efficiently is much…
A Case Study on Identifying Bifurcation and Chaos with CROCKER Plots
İsmail Güzel, Elizabeth Munch, Firas Khasawneh
The CROCKER plot is a coarsened but easy to visualize representation of the data in a one-parameter varying family of persistence barcodes. In this paper, we use the CROCKER plot t…
Transfer Learning for Autonomous Chatter Detection in Machining
Melih C. Yesilli, Firas A. Khasawneh, Brian Mann
Large-amplitude chatter vibrations are one of the most important phenomena in machining processes. It is often detrimental in cutting operations causing a poor surface finish and d…
Data-driven and Automatic Surface Texture Analysis Using Persistent Homology
Melih C. Yesilli, Firas A. Khasawneh
Surface roughness plays an important role in analyzing engineering surfaces. It quantifies the surface topography and can be used to determine whether the resulting surface finish…
ANAPT: Additive Noise Analysis for Persistence Thresholding
Audun D. Myers, Firas A. Khasawneh, Brittany T. Fasy
We introduce a novel method for Additive Noise Analysis for Persistence Thresholding (ANAPT) which separates significant features in the sublevel set persistence diagram of a time…
Using Zigzag Persistent Homology to Detect Hopf Bifurcations in Dynamical Systems
Sarah Tymochko, Elizabeth Munch, Firas A. Khasawneh
Bifurcations in dynamical systems characterize qualitative changes in the system behavior. Therefore, their detection is important because they can signal the transition from norma…
Dynamic State Analysis of a Driven Magnetic Pendulum using Ordinal Partition Networks and Topological Data Analysis
Audun Myers, Firas Khasawneh
The use of complex networks for time series analysis has recently shown to be useful as a tool for detecting dynamic state changes for a wide variety of applications. In this work,…