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Concept

Topologie différentielle

Publications associées (22)

Spectral analysis for transmission eigenvalue problems with and without the complementing conditions

Jean Louis-Alexandre Fornerod

The interior transmission eigenvalue problem is a system of partial differential equations equipped with Cauchy data on the boundary: the transmission conditions. This problem appears in the inverse scattering theory for inhomogeneous media when, for some ...

EPFL2022

Local Non-Rigid Structure-from-Motion from Locally Diffeomorphic Mappings

Pascal Fua, Mathieu Salzmann, Shaifali Parashar

We propose a new formulation to the non-rigid structure-from-motion problem that only requires the deforming surface to meaning that its differential structure is preserved. This is a much weaker assumption than the traditional ones of isometry or conforma ...

2020

Symplectic dynamical low rank approximation of wave equations with random parameters

Fabio Nobile, Eleonora Musharbash, Eva Vidlicková

In this paper we propose a dynamical low-rank strategy for the approximation of second order wave equations with random parameters. The governing equation is rewritten in Hamiltonian form and the approximate solution is expanded over a set of 2S dynamical ...

2020

Characterization of image spaces of Riemann-Liouville fractional integral operators on Sobolev spaces W-m,W-p (omega)

Jan Sickmann Hesthaven

Fractional operators are widely used in mathematical models describing abnormal and nonlocal phenomena. Although there are extensive numerical methods for solving the corresponding model problems, theoretical analysis such as the regularity result, or the ...

SCIENCE PRESS2020

Cryptanalysis of ForkAES

Subhadeep Banik

Forkciphers are a new kind of primitive proposed recently by Andreeva et al. for efficient encryption and authentication of small messages. They fork the middle state of a cipher and encrypt it twice under two smaller independent permutations. Thus, forkci ...

2019

Reparameterizing Discontinuous Integrands for Differentiable Rendering

Wenzel Alban Jakob, Guillaume Rémi Bruno Loubet

Differentiable rendering has recently opened the door to a number of challenging inverse problems involving photorealistic images, such as computational material design and scattering-aware reconstruction of geometry and materials from photographs. Differe ...

ASSOC COMPUTING MACHINERY2019

A Differential Electrochemical Readout ASIC with Heterogeneous Integration of Bio-nano Sensors for Amperometric Sensing

Giovanni De Micheli, Sandro Carrara, Irene Taurino, Seyedeh Sara Ghoreishizadeh

A Monolithic biosensing platform is presented for miniaturized amperometric electrochemical sensing in CMOS. The system consists of a fully-integrated current readout circuit for differential current measurement as well as on-die sensors developed by growi ...

2017

Dynamics of falling films on the outside of a vertical rotating cylinder: waves, rivulets and dripping transitions

François Gallaire, Nicolas Igor Jacques Kofman

Falling liquid films on the underside of a plate or on the outside of a rotating cylinder are subject to a destabilizing body force. The evolution of the film topology is determined by interactions between the Kapitza and the Rayleigh-Taylor instability, l ...

Cambridge University Press2017

Localization Genus

Jérôme Scherer

Which spaces look like an n-sphere through the eyes of the n-th Postnikov section functor and the n-connected cover functor? The answer is what we call the Postnikov genus of the n-sphere. We define in fact the notion of localization genus for any homotopi ...

Univ Autonoma Barcelona2017

Beyond Developable: Computational Design and Fabrication with Auxetic Materials

Mark Pauly, Sofien Bouaziz, Bailin Deng, Mina Konakovic Lukovic

We present a computational method for interactive 3D design and rationalization of surfaces via auxetic materials, i.e., flat flexible material that can stretch uniformly up to a certain extent. A key motivation for studying such material is that one can a ...

Assoc Computing Machinery2016

Higher Morse moduli spaces and n-categories

We generalize Cohen & Jones & Segal's flow category, whose objects are the critical points of a Morse function and whose morphisms are the Morse moduli spaces between the critical points to an n-category. The n-category construction involves repeatedly doi ...

Int Press Boston, Inc2014

Planck 2013 results. XXVI. Background geometry and topology of the Universe

Julien Lesgourgues, Jason Douglas McEwen

The new cosmic microwave background (CMB) temperature maps from Planck provide the highest-quality full-sky view of the surface of last scattering available to date. This allows us to detect possible departures from the standard model of a globally homogen ...

Edp Sciences S A2014

Improved Linear Cryptanalysis of Reduced-Round MIBS

Serge Vaudenay, Asli Bay, Jialin Huang

MIBS is a 32-round lightweight block cipher with 64-bit block size and two different key sizes, namely 64-bit and 80-bit keys. Bay et al. provided the first impossible differential, differential and linear cryptanalyses of MIBS. Their best attack was a lin ...

Springer2014

Latent motion spaces for full-body motion editing

Daniel Thalmann, Ronan Boulic

We explore an approach to full-body motion edit- ing with linear motion models, prioritized constraint-based optimization and latent-space interpolation. By exploiting the mathematical connections between linear motion mod- els and prioritized inverse kine ...

2013

Normal and conormal maps in homotopy theory

Kathryn Hess Bellwald

Let M be a monoidal category endowed with a distinguished class of weak equivalences and with appropriately compatible classifying bundles for monoids and comonoids. We define and study homotopy-invariant notions of normality for maps of monoids and of con ...

Int Press Boston, Inc2012

New Impossible Differential and Known-Key Distinguishers for the 3D Cipher

Jorge Nakahara

The contributions of this paper are new 6-round impossible-differential (ID) and 9.75-round known-key distinguishers for the 3D block cipher. The former was constructed using the miss-in-the-middle technique, while the latter with an inside-out technique. ...

Springer-Verlag Berlin2011

Cryptanalysis of reduced-round MIBS Block cipher

Serge Vaudenay, Jorge Nakahara, Asli Bay

This paper presents the first independent and systematic lin- ear, differential and impossible-differential (ID) cryptanalyses of MIBS, a lightweight block cipher aimed at constrained devices such as RFID tags and sensor networks. Our contributions include ...

Springer2010

Reservoir optimization in recurrent neural networks using properties of Kronecker product

Martin Hasler, Mahdi Jalili, Ali Ajdari Rad

Recurrent neural networks based on reservoir computing are increasingly being used in many applications. Optimization of the topological structure of the reservoir and the internal connection weights for a given task is one of the most important problems i ...

2010

Improved Cryptanalysis of Skein

Onur Özen, Jean-Philippe Aumasson

The hash function Skein is the submission of Ferguson et al. to the NIST Hash Competition, and is arguably a serious candidate for selection as SHA-3. This paper presents the first third-party analysis of Skein, with an extensive study of its main componen ...

Springer Berlin Heidelberg2009

Advanced Differential-Style Cryptanalysis of the NSA's Skipjack Block Cipher

Skipjack is a block cipher designed by the NSA for use in US government phones, and commercial mobile and wireless products by ATT. Among its initial implementations in hardware were the Clipper chip and Fortezza PC cards, which have since influenced the p ...

2009