49 citations · 107 across the 10 of their papers we have counts for
11 papers
Towards Reducing Foreign Language Anxiety Using Level-Appropriate Embodied Conversational Agents
Krishan Rajaratnam, Wenbin Gan, Yuan Sun
Foreign language anxiety (FLA) can be a major barrier to second language acquisition (SLA), especially in conversational contexts. With the proliferation of large language models (…
Kasabach-Merritt syndrome arising from an Enteroatmospheric Fistula
Kunal Shah, Krishan Rajaratnam
Kasabach-Merritt syndrome (KMS) is a rare, life-threatening condition that is characterized by profound thrombocytopenia, hypofibrinogenemia, elevated partial thromboplastin time,…
Vortex lattice solutions of the ZHK Chern-Simons equations
Krishan Rajaratnam, Israel Michael Sigal
We consider the non-relativistic Chern-Simons equations proposed by Zhang, Hansen and Kivelson as the mean field theory of the fractional Hall effect. We prove the existence of the…
Noise Flooding for Detecting Audio Adversarial Examples Against Automatic Speech Recognition
Krishan Rajaratnam, Jugal Kalita
Neural models enjoy widespread use across a variety of tasks and have grown to become crucial components of many industrial systems. Despite their effectiveness and extensive popul…
Isolated and Ensemble Audio Preprocessing Methods for Detecting Adversarial Examples against Automatic Speech Recognition
Krishan Rajaratnam, Kunal Shah, Jugal Kalita
An adversarial attack is an exploitative process in which minute alterations are made to natural inputs, causing the inputs to be misclassified by neural models. In the field of sp…
Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature
Krishan Rajaratnam, Raymond G. McLenaghan, Carlos Valero
We review the theory of orthogonal separation of variables of the Hamilton-Jacobi equation on spaces of constant curvature, highlighting key contributions to the theory by Benenti.…
Killing tensors, Warped Products and The Orthogonal Separation of The Hamilton-Jacobi Equation
Krishan Rajaratnam, Raymond G. McLenaghan
We study Killing tensors in the context of warped products and apply the results to the problem of orthogonal separation of the Hamilton-Jacobi equation. This work is motivated pri…
Classification of Hamilton-Jacobi separation in orthogonal coordinates with diagonal curvature
Krishan Rajaratnam, Raymond G. McLenaghan
We find all orthogonal metrics where the geodesic Hamilton-Jacobi equation separates and the Riemann curvature tensor satisfies a certain equation (called the diagonal curvature co…
Warped products and Spaces of Constant Curvature
Krishan Rajaratnam
We will obtain the warped product decompositions of spaces of constant curvature (with arbitrary signature) in their natural models as subsets of pseudo-Euclidean space. This gener…
Canonical forms of Self-Adjoint Operators in Minkowski Space-time
Krishan Rajaratnam
We classify the possible Jordan canonical forms of self-adjoint operators in Minkowski space-time (in fact in pseudo-Euclidean space, i.e. an indefinite inner product space) and we…
Concircular tensors in Spaces of Constant Curvature: With Applications to Orthogonal Separation of The Hamilton-Jacobi Equation
Krishan Rajaratnam, Raymond G. McLenaghan
We study concircular tensors in spaces of constant curvature and then apply the results obtained to the problem of the orthogonal separation of the Hamilton-Jacobi equation on thes…