6 citations · 26 across the 15 of their papers we have counts for
17 papers
Computation of some dispersive equations through their iterated linearisation
Guannan Chen, Arieh Iserles, Karolina Kropielnicka +1
It is often the case that, while the numerical solution of the non-linear dispersive equation represents a formidable challenge,…
Cross-Architectural Positive Pairs improve the effectiveness of Self-Supervised Learning
Pranav Singh, Jacopo Cirrone
Existing self-supervised techniques have extreme computational requirements and suffer a substantial drop in performance with a reduction in batch size or pretraining epochs. This…
Accelerated Newton-Raphson GRAPE methods for optimal control
David L. Goodwin, Mads Sloth Vinding
A Hessian based optimal control method is presented in Liouville space to mitigate previously undesirable polynomial scaling of computation time. This new method, an improvement to…
Unitarity of some barycentric rational approximants
Tobias Jawecki, Pranav Singh
The exponential function maps the imaginary axis to the unit circle and, for many applications, this unitarity property is also desirable from its approximations. We show that this…
Blockchain Meets AI for Resilient and Intelligent Internet of Vehicles
Pranav Kumar Singh, Sukumar Nandi, Sunit K. Nandi +2
The Internet of Vehicles (IoV) is flourishing and offers various applications relating to road safety, traffic and fuel efficiency, and infotainment. Dealing with security and priv…
Optimal parameters for numerical solvers of PDEs
Gianluca Frasca-Caccia, Pranav Singh
In this paper we introduce a procedure for identifying optimal methods in parametric families of numerical schemes for initial value problems in partial differential equations. The…