activity
20202025
most citedConsensus based optimization via jump-diffusion stochastic differential equations

22 citations · 32 across the 7 of their papers we have counts for

collaborators

7 papers

cs.CV2025

The Urban Vision Hackathon Dataset and Models: Towards Image Annotations and Accurate Vision Models for Indian Traffic

Akash Sharma, Chinmay Mhatre, Sankalp Gawali +10

This report describes the UVH-26 dataset, the first public release by AIM@IISc of a large-scale dataset of annotated traffic-camera images from India. The dataset comprises 26,646…

stat.ML2025

Score-based constrained generative modeling via Langevin diffusions with boundary conditions

Adam Nordenhög, Akash Sharma

Score-based generative models based on stochastic differential equations (SDEs) achieve impressive performance in sampling from unknown distributions, but often fail to satisfy und…

math.NA2025

Weak approximation of stochastic differential equations with sticky boundary conditions

Akash Sharma

Sticky diffusion models a Markovian particle experiencing reflection and temporary adhesion phenomena at the boundary. Numerous numerical schemes exist for approximating stopped or…

math.NA2024

Numerical integrators for confined Langevin dynamics

B. Leimkuhler, A. Sharma, M. V. Tretyakov

We derive and analyze numerical methods for underdamped (kinetic) Langevin dynamics in a domain with elastic reflection at the boundary. First-order approximations are based on an…

math.ST2023

Sampling and estimation on manifolds using the Langevin diffusion

Karthik Bharath, Alexander Lewis, Akash Sharma +1

Error bounds are derived for sampling and estimation using a discretization of an intrinsically defined Langevin diffusion with invariant measure $\text{d}μ_ϕ\propto e^{-ϕ} \mathrm…

math.PR2022★ 22 cited

Consensus based optimization via jump-diffusion stochastic differential equations

D. Kalise, A. Sharma, M. V. Tretyakov

We introduce a new consensus based optimization (CBO) method where interacting particle system is driven by jump-diffusion stochastic differential equations. We study well-posednes…

math.NA2020★ 10 cited

Simplest random walk for approximating Robin boundary value problems and ergodic limits of reflected diffusions

B. Leimkuhler, A. Sharma, M. V. Tretyakov

A simple-to-implement weak-sense numerical method to approximate reflected stochastic differential equations (RSDEs) is proposed and analysed. It is proved that the method has the…