12 citations · 17 across the 9 of their papers we have counts for
9 papers
Classification of Epileptic iEEG using Topological Machine Learning
Sunia Tanweer, Narayan Puthanmadam Subramaniyam, Firas A. Khasawneh
Epileptic seizure detection from EEG signals remains challenging due to the high dimensionality and nonlinear, potentially stochastic, dynamics of neural activity. In this work, we…
Detecting Stochasticity in Discrete Signals via Nonparametric Excursion Theorem
Sunia Tanweer, Firas A. Khasawneh
We develop a practical framework for distinguishing diffusive stochastic processes from deterministic signals using only a single discrete time series. Our approach is based on cla…
Asymmetrically Weighted Dowker Persistence and Applications in Dynamical Systems
Tobias Timofeyev, Christopher Potvin, Benjamin Jones +3
By their nature it is difficult to differentiate chaotic dynamical systems through measurement. In recent years, work has begun on using methods of Topological Data Analysis (TDA)…
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…
Topological Signatures of ReLU Neural Network Activation Patterns
Vicente Bosca, Tatum Rask, Sunia Tanweer +2
This paper explores the topological signatures of ReLU neural network activation patterns. We consider feedforward neural networks with ReLU activation functions and analyze the po…
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…
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 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…