activity
20162023
most citedInvariant Physics-Informed Neural Networks for Ordinary Differential Equations

3 citations · 11 across the 6 of their papers we have counts for

collaborators

7 papers

math-ph2023★ 3 cited

Invariant Physics-Informed Neural Networks for Ordinary Differential Equations

Shivam Arora, Alex Bihlo, Francis Valiquette

Physics-informed neural networks have emerged as a prominent new method for solving differential equations. While conceptually straightforward, they often suffer training difficult…

cs.LG2023★ 2 cited

Model-agnostic machine learning of conservation laws from data

Shivam Arora, Alex Bihlo, Rüdiger Brecht +1

We present a machine learning based method for learning first integrals of systems of ordinary differential equations from given trajectory data. The method is model-agnostic in th…

math.GR2022

Topological groups with a compact open subgroup, Relative hyperbolicity and Coherence

Shivam Arora, Eduardo Martínez-Pedroza

The main objects of study in this article are pairs where is a topological group with a compact open subgroup, and is a finite collection of op…

math.GR2021★ 1 cited

Fixed Point Sets in Diagrammatically Reducible Complexes

Shivam Arora, Eduardo Martínez-Pedroza

Let be a group acting on a simply-connected diagrammatically reducible combinatorial 2-complex with fine 1-skeleton. If the fixed point set is non-empty, then it is…

math.GR2019★ 3 cited

Subgroups, hyperbolicity and cohomological dimension for totally disconnected locally compact groups

Shivam Arora, Ilaria Castellano, Ged Corob Cook +1

This article is part of the program of studying large-scale geometric properties of totally disconnected locally compact groups, TDLC-groups, by analogy with the theory for discret…

math.GR2018

Subgroups of word hyperbolic groups in rational dimension 2

Shivam Arora, Eduardo Martínez-Pedroza

A result of Gersten states that if is a hyperbolic group with integral cohomological dimension then every finitely presented subgroup is hyperbo…

math.GR2016★ 2 cited

z-Classes in finite groups of conjugate type (n,1)

Shivam Arora, Krishnendu Gongopadhyay

Two elements in a group are said to -equivalent or to be in the same -class if their centralizers are conjugate in . In \cite{kkj}, it was proved that a non-abelian $p…