Concept

Function of a real variable

Related publications (104)

Atom-density representations for machine learning

Michele Ceriotti, Félix Benedito Clément Musil, Michael John Willatt

This has led to a proliferation of alternative ways to convert an atomic structure into an input for a machine-learning model. We introduce an abstract definition of chemical environments that is based on a smoothed atomic density, using a bra-ket notation ...

2019

Optimization Notes

Sepand Kashani

While optimization is well studied for real-valued functions

f : \mathbb{R}^{N} \to \mathbb{R}

, many physical problems are (partially) specified in terms of complex-valued functions

f_{c} : \mathbb{C}^{N} \to \mathbb{C}^{M}

. Current optimization packag ...

2019

Short-Range Structural Correlations in Amorphous 2D Polymers

Klaus Kern, Claudius Morchutt, Patrick Eduard Alexa

Many 2D covalent polymers synthesized as single layers on surfaces show inherent disorder, expressed for example in their ring-size distribution. Systems which are expected to form the thermodynamically favored hexagonal lattice usually deviate from crysta ...

2019

Simulating background shear flow in local gyrokinetic simulations

Stephan Brunner, Justin Richard Ball, Ben McMillan

Local gyrokinetic simulations solve the gyrokinetic equations with homogeneous background gradients, typically using a doubly periodic domain in the (x, y) plane (i.e. perpendicular to the field line). Spatial Fourier representations are almost universal i ...

2019

A dynamical system approach to task-adaptation in physical human-robot interaction

Aude Billard, Mahdi Khoramshahi

The goal of this work is to enable robots to intelligently and compliantly adapt their motions to the intention of a human during physical Human-Robot Interaction in a multi-task setting. We employ a class of parameterized dynamical systems that allows for ...

SPRINGER2019

Proximity Operators of Discrete Information Divergences

Mireille El Gheche, Giovanni Chierchia

While phi-divergences have been extensively studied in convex analysis, their use in optimization problems often remains challenging. In this regard, one of the main shortcomings of existing methods is that the minimization of phi-divergences is usually pe ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2018

In Flagranti

Alexandre Blanc, Marco Bakker

The real now, which has a duration of about 3 seconds, is the moment in which what happened glides in to the past and becomes already history, whereas the future did not yet arrive. The real now and architecture. ...

MANSLAB2018

Fast multiscale reconstruction for Cryo-EM

Michaël Unser, Laurène Donati, Masih Nilchian

We present a multiscale reconstruction framework for single-particle analysis (SPA). The representation of three-dimensional (3D) objects with scaled basis functions permits the reconstruction of volumes at any desired scale in the real-space. This multisc ...

2018

Learning to See through Reflections

Sabine Süsstrunk

"Pictures of objects behind a glass are difficult to interpret" "and understand due to the superposition of two real images: a reflection layer and a background layer. Separation of these two layers is challenging due to the ambiguities in as- signing text ...

IEEE2018

A Dynamical System Approach to Task-Adaptation in Physical Human-Robot Interaction

Aude Billard, Mahdi Khoramshahi

The goal of this work is to enable robots to intelligently and compliantly adapt their motions to the intention of a human during physical Human-Robot Interaction (pHRI) in a multi-task setting. We employ a class of parameterized dynamical systems that all ...

2018

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Optimization Notes

Sepand Kashani

While optimization is well studied for real-valued functions

f : \mathbb{R}^{N} \to \mathbb{R}

, many physical problems are (partially) specified in terms of complex-valued functions

f_{c} : \mathbb{C}^{N} \to \mathbb{C}^{M}

. Current optimization packag ...

2019