We here present resolution-annealed stochastic gradient ascent (RASTA), a new approach for direct atomistic electron density determination, which utilizes our recently developed rigorous Bayesian ...

For the CSI-based scheme, we first propose a gradient ascent-based algorithm to obtain a near-optimal solution. Then, to address the possible high computational complexity in the gradient algorithm, ...

This letter proposes a quaternion projection gradient ascent (QPGA) iterative algorithm based on generalized HR calculus for computing the principal eigenvalues and its eigenvectors of quaternion ...

3 Distributed primal–dual hybrid gradient algorithm This section first introduces a distributed quantile regression framework and formulates our problem as a saddle-point optimization problem.

Learn how gradient descent really works by building it step by step in Python. No libraries, no shortcuts—just pure math and code made simple.

Furthermore, we develop a novel geometry-constrained gradient ascent method MMUnlearner. It updates the weights of MLLMs with a weight saliency map jointly restricted by the remaining concepts and ...

Beck, A. and Teboulle, M. (2010) Gradient-Based Algorithms with Applications to Signal-Recovery Problems. Journal of Convex Analysis, 17, 445-477.

In this work, we adopt the gradient projection method (GPM) to problems of quantum control. For general N-level closed and open quantum systems, we derive the corresponding adjoint systems and ...

Specifically, we provide an implementation of ExploreA and ExploreB strategies that are provided in the paper. We denote these algorithms with LUCBExploreA and LUCBExploreB respectively. Gradient ...