Publications related to Conjugate gradient method

MATHICSE Technical Report : A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion

Simone Deparis, Andrea Manzoni, Niccolò Dal Santo

We analyze the numerical performance of a preconditioning technique recently proposed in [4] for the ecient solution of parametrized linear systems arising from the finite element (FE) discretization of parameter-dependent elliptic partial differential equ ...

MATHICSE2017

A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations

Simone Deparis, Andrea Manzoni, Niccolò Dal Santo

We analyze the numerical performance of a preconditioning technique recently proposed in [1] for the efficient solution of parametrized linear systems arising from the finite element (FE) discretization of parameter-dependent elliptic partial differential ...

Walter de Gruyter GmbH2017

Exact diffusion strategy for optimization by networked agents

Ali H. Sayed, Bicheng Ying, Kun Yuan

This work develops a distributed optimization algorithm with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown to have a wider stability range and superior convergence pe ...

IEEE2017

Exact Diffusion for Distributed Optimization and Learning---Part I: Algorithm Development

Ali H. Sayed, Bicheng Ying, Kun Yuan

This work develops a distributed optimization strategy with guaranteed exact convergence for a broad class of left-stochastic combination policies. The resulting exact diffusion strategy is shown in Part II to have a wider stability range and superior conv ...

2017

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Ali H. Sayed, Bicheng Ying, Kun Yuan

Part I of this work developed the exact diffusion algorithm to remove the bias that is characteristic of distributed solutions for deterministic optimization problems. The algorithm was shown to be applicable to a larger set of combination policies than ea ...

2017

Efficient Analysis of Confined Guided Modes in Phoxonic Crystal Slabs

Sina Khorasani

Today's standard fabrication processes are just capable of manufacturing slab of photonic and phononic crystals, so an efficient method for analysis of these crystals is indispensable. Plane wave expansion (PWE) as a widely used method in studying photonic ...

Ieee-Inst Electrical Electronics Engineers Inc2017

On the performance of random reshuffling in stochastic learning

Ali H. Sayed, Stefan Vlaski, Bicheng Ying, Kun Yuan

In empirical risk optimization, it has been observed that gradient descent implementations that rely on random reshuffling of the data achieve better performance than implementations that rely on sampling the data randomly and independently of each other. ...

2017

Retrieval of the raindrop size distribution from polarimetric radar data using double-moment normalisation

Alexis Berne, Timothy Hugh Raupach

A new technique for estimating the raindrop size distribution (DSD) from polarimetric radar data is proposed. Two statistical moments of the DSD are estimated from polarimetric variables, and the DSD is reconstructed using a double-moment normalisation. Th ...

Copernicus GmbH2017

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Conjugate gradient method

MATHICSE Technical Report : A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion

A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations

Exact diffusion strategy for optimization by networked agents

Exact Diffusion for Distributed Optimization and Learning---Part I: Algorithm Development

Towards a Compiler for Reals

A Novel Iterative Method To Approximate Structured Singular Values

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

Efficient Analysis of Confined Guided Modes in Phoxonic Crystal Slabs

On the performance of random reshuffling in stochastic learning

Retrieval of the raindrop size distribution from polarimetric radar data using double-moment normalisation

Graph Chatbot

Chat with Graph Search

Exact Diffusion for Distributed Optimization and Learning---Part II: Convergence Analysis

MATHICSE Technical Report : A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion

Exact Diffusion for Distributed Optimization and Learning---Part I: Algorithm Development

On the performance of random reshuffling in stochastic learning

Retrieval of the raindrop size distribution from polarimetric radar data using double-moment normalisation

Efficient Analysis of Confined Guided Modes in Phoxonic Crystal Slabs

Exact diffusion strategy for optimization by networked agents

Towards a Compiler for Reals

A Novel Iterative Method To Approximate Structured Singular Values

A numerical investigation of multi space reduced basis preconditioners for parametrized elliptic advection-diffusion equations