Showing 2026Show all
3 papers · 1 filter
math.PR2026
Semicircular law with a few independent entries in a random matrix
Debapratim Banerjee, Himasish Talukdar
It is well known in random matrix literature that the limiting spectral distribution of a Wigner matrix is the semi circular law while the limiting spectral distributions of other…
cs.LG2026
Approximation Theory for Neural Networks: Old and New
Soumendu Sundar Mukherjee, Himasish Talukdar
Universal approximation theorems provide a mathematical explanation for the expressive power of neural networks. They assert that, under mild conditions on the activation function,…
math.PR2026
Elephant random walk on the infinite dihedral group
Soumendu Sundar Mukherjee, Himasish Talukdar
Elephant random walks were studied recently in \cite{mukherjee2025elephant} on the groups whose Cayley graphs are infinite -regular tre…