Publications associées à Théorème du point fixe de Kakutani

Building Duration / El Portico de los Huespedes

Patricia Guaita, Raffael Baur, Sony Devabhaktuni

El Portico de los Huéspedes is a pedagogical, design-research project that tests the possibility of an open-ended architecture, where duration links between past and future. It is a work of architecture as becoming: ‘work’ meaning the structure, rhythms an ...

Association of Collegiate Schools of Architecture2019

Displacement Convexity in Spatially Coupled Scalar Recursions

Rüdiger Urbanke, Nicolas Macris, Rafah El-Khatib

We introduce a technique for the analysis of general spatially coupled systems that are governed by scalar recursions. Such systems can be expressed in variational form in terms of a potential function. We show, under mild conditions, that the potential fu ...

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC2019

Towards the renormalization group flow of Horava gravity in 3+1 dimensions

Sergey Sibiryakov, Mario Herrero Valea

We compute the renormalization group running of the Newton constant and the parameter lambda in (3 + 1)-dimensional projectable Horava gravity. We use the background-field method, expanding around configurations with flat spatial metric, but nonvanishing s ...

AMER PHYSICAL SOC2019

Training DNNs with Hybrid Block Floating Point

Babak Falsafi, Martin Jaggi, Tao Lin, Mario Paulo Drumond Lages De Oliveira

The wide adoption of DNNs has given birth to unrelenting computing requirements, forcing datacenter operators to adopt domain-specific accelerators to train them. These accelerators typically employ densely packed full-precision floating-point arithmetic t ...

NEURAL INFORMATION PROCESSING SYSTEMS (NIPS)2018

Training DNNs with Hybrid Block Floating Point

Babak Falsafi, Martin Jaggi, Tao Lin, Mario Paulo Drumond Lages De Oliveira

2018

Walking, weak first-order transitions, and complex CFTs

Victor Gorbenko, Bernardo Zan

We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the Potts model, deconfined criticality) these two phenomena both impl ...

SPRINGER2018

Closed-loop electrical neurostimulation: Challenges and opportunities

José del Rocio Millán Ruiz, Inaki Asier Iturrate Gil, Michael Eric Anthony Pereira

Non-invasive and invasive electrical neurostimulation are promising tools to better understand brain function and ultimately treat its malfunction. In current open-loop approaches, a clinician chooses a fixed set of stimulation parameters, informed by obse ...

2018

The size of the sync basin revisited

Philippe René Joseph Jacquod, Robin Delabays

In dynamical systems, the full stability of fixed point solutions is determined by their basins of attraction. Characterizing the structure of these basins is, in general, a complicated task, especially in high dimensionality. Recent works have advocated t ...

Amer Inst Physics2017

Fixed Points For Bounded Orbits In Hilbert Spaces

Nicolas Monod, Maxime Gheysens

Consider the following property of a topological group G: every continuous affine G-action on a Hilbert space with a bounded orbit has a fixed point. We prove that this property characterizes amenability for locally compact a-compact groups (e.g., countabl ...

Elsevier2017

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Théorème du point fixe de Kakutani

Building Duration / El Portico de los Huespedes

Displacement Convexity in Spatially Coupled Scalar Recursions

Towards the renormalization group flow of Horava gravity in 3+1 dimensions

Seismic Stability of Wide-Flange Steel Columns Interacting with Embedded Column Base Connections

Training DNNs with Hybrid Block Floating Point

Training DNNs with Hybrid Block Floating Point

Walking, weak first-order transitions, and complex CFTs

Closed-loop electrical neurostimulation: Challenges and opportunities

The size of the sync basin revisited

Fixed Points For Bounded Orbits In Hilbert Spaces

Graph Chatbot

Chattez avec Graph Search

Fixed Points For Bounded Orbits In Hilbert Spaces

Building Duration / El Portico de los Huespedes

Towards the renormalization group flow of Horava gravity in 3+1 dimensions

Displacement Convexity in Spatially Coupled Scalar Recursions

Training DNNs with Hybrid Block Floating Point

The size of the sync basin revisited

Walking, weak first-order transitions, and complex CFTs

Training DNNs with Hybrid Block Floating Point

Seismic Stability of Wide-Flange Steel Columns Interacting with Embedded Column Base Connections

Closed-loop electrical neurostimulation: Challenges and opportunities