8 papers
Dual-state control of lasing and absorption via conjugate exceptional points
Arnab Laha, Somnath Ghosh, Adam Miranowicz +1
Lasing and coherent perfect absorption (CPA) are time-reversed manifestations of non-Hermitian light-matter interactions. While exceptional points (EPs) have been extensively explo…
Intrinsic Geometry-Based Angular Covariance: A Novel Framework for Nonparametric Changepoint Detection in Meteorological Data
Surojit Biswas, Buddhananda Banerjee, Arnab Kumar Laha
In many temporal datasets, the parameters of the underlying distribution may change abruptly at unknown times. Detecting such changepoints is crucial for numerous applications. Alt…
Diffusion on the circle and a stochastic correlation model
Sourav Majumdar, Arnab Kumar Laha
We develop diffusion models for time-varying correlation using stochastic processes defined on the unit circle. Specifically, we study Brownian motion on the circle and the von Mis…
Change-point problem: Direct estimation using a geometry inspired identifiable reparameterization
Buddhananda Banerjee, Arnab Kumar Laha
Estimation of mean shift in a temporally ordered sequence of random variables with a possible existence of change-point is an important problem in many disciplines. In the availabl…
New Tests of Randomness for Circular Data
Shriya Gehlot, Arnab Kumar Laha
Randomness or mutual independence is an important underlying assumption for most widely used statistical methods for circular data. Verifying this assumption is essential to ensure…
A geometric approach in non-parametric Changepoint detection in circular data
Surojit Biswas, Buddhananda Banerjee, Arnab Kumar Laha
In many temporally ordered data sets, it is observed that the parameters of the underlying distribution change abruptly at unknown times. The detection of such changepoints is impo…