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High-dimensional optimization under nonconvex excluded volume constraints

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Riemannian Optimization for Solving High-Dimensional Problems with Low-Rank Tensor Structure

Michael Maximilian Steinlechner

In this thesis, we present a Riemannian framework for the solution of high-dimensional optimization problems with an underlying low-rank tensor structure. Here, the high-dimensionality refers to the size of the search space, while the cost function is scal ...

EPFL2016

Gain vs phase in BOTDA setups

Luc Thévenaz, Marcelo Alfonso Soto Hernandez, Alejandro Dominguez Lopez

We evaluate the Brillouin frequency shift (BFS) determination error when using the Brillouin phase spectrum (BPS) instead of the Brillouin gain spectrum (BGS) in BOTDA setups. We compare the error obtained in the BFS determination in both cases, both with ...

Spie-Int Soc Optical Engineering2016

The bioavailability of hydrophobic drugs strongly increases if they are formulated as amorphous materials because the solubility of the amorphous phase is much higher than that of the crystal. Moreover, the stability of these particles against crystallizat ...

Amer Chemical Soc2016

Femtosecond diffractive imaging of structures, charge and spin textures

Giulia Fulvia Mancini

The study of the dynamical evolution of a system, e.g. a chemical reaction or a phase transition, has become nowadays a subject of growing scientific interest. The direct observation of the steps and the structural changes through which chemical reactions ...

EPFL2015

Raman and optical absorption spectra of FeTe2O5Cl at pressures (P) up to 5.9 GPa were measured in order to identify the point of pressure-induced structural phase transition and to compare the vibrational and optical properties of FeTe2O5Cl to those of FeT ...

Wiley-V C H Verlag Gmbh2015

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Michaël Unser, Emrah Bostan, Stamatios Lefkimmiatis, Emmanuel Augustin Julien Froustey

We develop a variational algorithm for reconstructing phase objects from a series of bright field micrographs. Our mathematical model is based on the transport-of-intensity equation (TIE), which links the phase of a complex field to the axial derivative of ...

Ieee2014

Digital Phase Reconstruction via Iterative Solutions of Transport-of-Intensity Equation

Michaël Unser, Emrah Bostan, Stamatios Lefkimmiatis, Emmanuel Augustin Julien Froustey

IEEE2014

High-Pressure Phase Transitions and Structures of Topological Insulator BiTel

Helmuth Berger, Hui Wang, Feng Peng

Being a giant bulk Rashba semiconductor, the ambient-pressure phase of BiTeI was predicted to transform into a topological insulator under pressure at 1.7-4.1 GPa [Nat. Commun. 2012, 3, 679]. Because the structure governs the new quantum state of matter, i ...

Amer Chemical Soc2013

Oscillatory athermal quasistatic deformation of a model glass

Giuseppe Foffi, Davide Fiocco

We report computer simulations of oscillatory athermal quasistatic shear deformation of dense amorphous samples of a three-dimensional model glass former. A dynamical transition is observed as the amplitude of the deformation is varied: For large values of ...

Amer Physical Soc2013

Liquid-solid transition in fully ionized hydrogen at ultra-high pressures

Elisa Liberatore

We study the phase diagram of an effective ion model of fully ionized hydrogen at ultra-high pressure. We assume that the protons interact with a screened Coulomb potential derived from a static linear response theory. This model accurately reproduces the ...

American Institute of Physics2011