5 citations · 5 across the 4 of their papers we have counts for
5 papers
A clarification of Fermi's formula for the maximum of partial sums
Alessandro Lodi
In Fermi's 1926 note, the expression assigned to the probability that all partial sums remain below a threshold is the complementary crossing probability. We obtain the correct pro…
Flux-Preserving Adaptive Finite State Projection for Multiscale Stochastic Reaction Networks
Aditya Dendukuri, Shivkumar Chandrasekaran, Linda Petzold
The Finite State Projection (FSP) method approximates the Chemical Master Equation (CME) by restricting the dynamics to a finite subset of the (typically infinite) state space, ena…
MNO : A Multi-modal Neural Operator for Parametric Nonlinear BVPs
Vamshi C. Madala, Nithin Govindarajan, Shivkumar Chandrasekaran
We introduce a novel Multimodal Neural Operator (MNO) architecture designed to learn solution operators for multi-parameter nonlinear boundary value problems (BVPs). Traditional ne…
Tree quasi-separable matrices: a simultaneous generalization of sequentially and hierarchically semi-separable representations
Nithin Govindarajan, Shivkumar Chandrasekaran, Patrick Dewilde
We present a unification and generalization of what is known in the literature as sequentially and hierarchically semi-separable (SSS and HSS) representations for matrices. Describ…
Minimum Sobolev norm interpolation of derivative data
S. Chandrasekaran, C. H. Gorman, H. N. Mhaskar
We study the problem of reconstructing a function on a manifold satisfying some mild conditions, given data on the values and some derivatives of the function at arbitrary points o…