Search Results for author: Karthik Bharath

Found 5 papers, 0 papers with code

Sampling and estimation on manifolds using the Langevin diffusion

no code implementations22 Dec 2023 Karthik Bharath, Alexander Lewis, Akash Sharma, Michael V Tretyakov

Error bounds are derived for sampling and estimation using a discretization of an intrinsically defined Langevin diffusion with invariant measure $d\mu_\phi \propto e^{-\phi} \mathrm{dvol}_g $ on a compact Riemannian manifold.

Shape And Structure Preserving Differential Privacy

no code implementations21 Sep 2022 Carlos Soto, Karthik Bharath, Matthew Reimherr, Aleksandra Slavkovic

It is common for data structures such as images and shapes of 2D objects to be represented as points on a manifold.

Joint quasiprobability distribution on the measurement outcomes of MUB-driven operators

no code implementations20 Jan 2021 H S Smitha Rao, Swarnamala Sirsi, Karthik Bharath

We propose a method to define quasiprobability distributions for general spin-$j$ systems of dimension $n=2j+1$, where $n$ is a prime or power of prime.

Quantum Physics

A diffusion approach to Stein's method on Riemannian manifolds

no code implementations25 Mar 2020 Huiling Le, Alexander Lewis, Karthik Bharath, Christopher Fallaize

We detail an approach to develop Stein's method for bounding integral metrics on probability measures defined on a Riemannian manifold $\mathbf M$.

valid

Invariance and identifiability issues for word embeddings

no code implementations NeurIPS 2019 Rachel Carrington, Karthik Bharath, Simon Preston

Word embeddings are commonly obtained as optimizers of a criterion function $f$ of a text corpus, but assessed on word-task performance using a different evaluation function $g$ of the test data.

Word Embeddings

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