Mathematics project topics

Get Complete Project Material File(s) Now! » The master equation and relaxation to equilibrium We already saw that every CPTP map can be decomposed in terms of Kraus operators. Namely is a CPTP map if and only if ( sys:)...

Get Complete Project Material File(s) Now! » Conformal bootstrap We can use the conformal block decomposition from the previous section to revisit the relations (1.54) expressing the constraints coming from Bose symmetry (in this context also known as crossing symmetry)...

Get Complete Project Material File(s) Now! » The Newman-Penrose tetrad and spin coefficients The Goursat problem and the conformal scattering operator Non-trivial solutions of the constraint system on C∞0 (0) Neighbourhood of spacelike infinity Table of contents : 1 Introduction ...

Get Complete Project Material File(s) Now! » Nonsmooth First Order Necessary Optimality Conditions Since optimal control problems deal with the problem of finding a control lawfor a given system such that a certain optimality criterion (or ‘objective’) is achieved, many...

Get Complete Project Material File(s) Now! » An introduction to fair learning Statistical algorithms trained on personal data take pivotal decisions which influence our lives on a daily basis. Recent studies show that a naive use of these algorithms in...

Get Complete Project Material File(s) Now! » Langevin Monte-Carlo with inaccurate gradient Abstract In this paper, we study the problem of sampling from a given probability density function that is known to be smooth and strongly log-concave. We analyze several...

Get Complete Project Material File(s) Now! » Chapter 3: Regularized Optimal Transport is Ground-Cost Adversarial This chapter is based on [Paty and Cuturi, 2020]. Regularizing the optimal transport problem has proven crucial for the opti-mal transport theory to impact the...

Get Complete Project Material File(s) Now! » Thorough introduction on the robust mean vector estima-tion problem Estimating the mean of a random variable in a d-dimensional space when given some of its realizations is arguably the oldest and most fundamental...

Get Complete Project Material File(s) Now! » Subject of the Thesis This thesis focuses on developing numerical methods to characterize the propagation of un-certainty through models with random inputs. Estimating some statistics of the model output’s (quantities of interest), such...