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Sciences (1161)

Microscopic Description of Systems of Points with Coulomb-type Interactions
Microscopic Description of Systems of Points with Coulomb-type Interactions
mathematicsEnglish5 sep 2017965We are interested in systems of points with Coulomb, logarithmic or Riesz interactions (i.e. inverse powers of the distance). They arise in various settings: an instance is the study of Fekete points in approximation theory, another is the classical log gas or Coulomb gas which in some cases happens to be a random matrix ensemble, another is vortices in superconductors, superfluids or ...
Completely Positive Semidefinite Matrices: Conic Approximations and Matrix Factorization Ranks
Completely Positive Semidefinite Matrices: Conic Approximations and Matrix Factorization Ranks
mathematicsEnglish5 sep 20171062The completely positive semidefinite cone is a new matrix cone, which consists of all the symmetric matrices (of a given size) that admit a Gram factorization by positive semidefinite matrices of any size. This cone can thus be seen as a non-commutative analogue of the classical completely positive cone, replacing factorizations by nonnegative vectors (aka diagonal psd matrices) by arbitrary ...
Structure Tensors
Structure Tensors
mathematicsEnglish5 sep 20171097We show that in many instances, at the heart of a problem in numerical computation sits a special 3-tensor, the structure tensor of the problem that uniquely determines its underlying algebraic structure. For example, the Grothendieck constant, which plays an important role in unique games conjecture and SDP relaxations of NP-hard problems, arises as the spectral norm of such a structure ...
Fourier-like Bases and Integrable Probability
Fourier-like Bases and Integrable Probability
mathematicsEnglish5 sep 20171140No information.Presentation by: Alexei Borodin. MIT, USA
Information Complexity and Applications
Information Complexity and Applications
mathematicsEnglish5 sep 20171026Over the past two decades, information theory has reemerged within computational complexity theory as a mathematical tool for obtaining unconditional lower bounds in a number of models, including streaming algorithms, data structures, and communication complexity. Many of these applications can be systematized and extended via the study of information complexity – which treats information ...
Adaptive High-Order Methods for Elliptic Problems: Convergence and Optimality
Adaptive High-Order Methods for Elliptic Problems: Convergence and Optimality
mathematicsEnglish5 sep 20171020Adaptive algorithms for h-type finite element discretizations of elliptic problems are by now well understood, as far as their convergence and optimality properties are concerned.The design and analysis of adaptive algorithms for hp-type discretizations poses new challenges. Indeed, the choice between applying a mesh refinement or a polynomial enrichment is a delicate stage in the ...
Dynamic Formulation of Optimal Transportation and Variational Relaxation of Euler Equations
Dynamic Formulation of Optimal Transportation and Variational Relaxation of Euler Equations
mathematicsEnglish5 sep 20171146We will briefly recall the classical Optimal Transportation Framework and its Dynamic relaxations. We will show the link between these Dynamic formulation and the so-called Multi-Marginal extension of Optimal Transportation. We will then describe the so-called Iterative Proportional Fitting Procedure (IPFP aka Sinkhorn method) which can be efficiently applied to the multi-marginal OT setting. ...
Variational Discretizations of Gauge Field Theories Using Group-Equivariant Interpolation Spaces
Variational Discretizations of Gauge Field Theories Using Group-Equivariant Interpolation Spaces
mathematicsEnglish5 sep 20171063Variational integrators are geometric structure-preserving numerical methods that preserve the symplectic structure, satisfy a discrete Noether's theorem, and exhibit exhibit excellent long-time energy stability properties. An exact discrete Lagrangian arises from Jacobi's solution of the Hamilton-Jacobi equation, and it generates the exact flow of a Lagrangian system. By approximating the ...
T < 4E
T < 4E
mathematicsEnglish5 sep 20171069Descartes proved that a graph embedding into the plane on V vertices and E edges ...
Large Graph Limits of Learning Algorithms
Large Graph Limits of Learning Algorithms
mathematicsEnglish5 sep 20171025Many problems in machine learning require the classification of high dimensional data. One methodology to approach such problems is to construct a graph whose vertices are identified with data points, with edges weighted according to some measure of affinity between the data points. Algorithms such as spectral clustering, probit classification and the Bayesian level set method can all be ...
Linear Differential Equations as a Data-Structure
Linear Differential Equations as a Data-Structure
mathematicsEnglish5 sep 2017983Many informations concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving'', but at computing with this representation. The talk will ...
Mathematics of Cell Division
Mathematics of Cell Division
mathematicsEnglish5 sep 2017997The problem of a mathematical structure for the biological process of cell differentiation will be addressed.Presentation by: Stephen Smale. UC, Berkeley, USA.
Sussanna Manrubia - Multipartive Viruses: Adaptive trick or evolutionary treat?
Sussanna Manrubia - Multipartive Viruses: Adaptive trick or evolutionary treat?
physicsEnglish21 jul 20171025El dia 12 de juny de 2017 té lloc el simposi fundacional de l’Institut de Recerca de Sistemes Complexos de la Universitat de Barcelona (UBICS). Intervé Sussanna Manrubia amb la ponència Multipartive Viruses: Adaptive trick or evolutionary treat?.On June 12, 2017 the founding symposium of the University of Barcelona's Institute of Complex Systems Research (UBICS) takes ...
Leticia Cugliandolo - Measuring Effective Temperatures in Generalized Gibbs Ensemble
Leticia Cugliandolo - Measuring Effective Temperatures in Generalized Gibbs Ensemble
physicsEnglish21 jul 2017931El dia 12 de juny de 2017 té lloc el simposi fundacional de l’Institut de Recerca de Sistemes Complexos de la Universitat de Barcelona (UBICS). A la presentació, hi tenim al seu director Albert Díaz Guilera, catedràtic del Departament Física de la Matèria Condensada; Atilà Herms, degà de la Facultat de Física; i Domènec Espriu, Vicerector de Recerca de la Universitat de Barcelona. ...
Functional Food: Smart Microgels against Lactose Intolerance. Yoran Beldengrün
Functional Food: Smart Microgels against Lactose Intolerance. Yoran Beldengrün
pharmacyEnglish13 jul 20171106Aquest vídeo és un dels guanyadors del III Concurs Comas i Solà de curtmetratges organitzat conjuntament per l’Escola de Doctorat i la Unitat de Cultura Científica i Innovació (UCC+i) amb l’objectiu d’apropar a la ciutadania, mitjançant un canal àgil i visual, la recerca que es duu a terme a la Universitat de Barcelona i donar visibilitat als estudiants de doctorat com a motor de ...
L'Arteritits de Cèl·lules Gegants, Nekane Terrades Garcia
L'Arteritits de Cèl·lules Gegants, Nekane Terrades Garcia
medicine, nursing, odon...Catalan13 jul 2017844Aquest vídeo és un dels guanyadors del III Concurs Comas i Solà de curtmetratges organitzat conjuntament per l’Escola de Doctorat i la Unitat de Cultura Científica i Innovació (UCC+i) amb  l’objectiu d’apropar a la ciutadania, mitjançant un canal àgil i visual, la recerca que es duu a terme a la Universitat de Barcelona i donar visibilitat als estudiants de doctorat com a ...
Optopharmacology. Jaume Taura
Optopharmacology. Jaume Taura
pharmacyEnglish13 jul 20171010Aquest vídeo forma part de les propostes presentades al III Concurs Comas i Solà de curtmetratges organitzat conjuntament per l’Escola de Doctorat i la Unitat de Cultura Científica i Innovació (UCC+i) amb  l’objectiu d’apropar a la ciutadania, mitjançant un canal àgil i visual, la recerca que es duu a terme a la Universitat de Barcelona i donar visibilitat als estudiants de ...
A posteriori KAM theorems - Rafael de la Llave
A posteriori KAM theorems - Rafael de la Llave
mathematicsEnglish7 jul 2017723L'objectiu de les conferències és presentar nous avenços en els camps dels sistemes dinàmics i les equacions diferencials parcials. El congrés està dedicat al 60è aniversari del professor Rafael de la Llave. En aquest cas la presentació està feta a càrrec de Rafael de la Llave de la Georgia Institute of Technology.
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