Modelling and Simulation in Engineering Systems
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Algorithmic Differentiation of the Open CASCADE Technology CAD Kernel and its coupling with an Adjoint CFD Solver
(Taylor and Francis, 2018-02)Computer-aided design (CAD) tools are extensively used to design industrial components, however, contrary to e.g. computational fluid dynamics (CFD) solvers, shape sensitivities for gradient-based optimization of ... -
Threshold Saturation of Spatially Coupled Sparse Superposition Codes for All Memoryless Channels
(IEEE, 2016-10)We recently proved threshold saturation for spatially coupled sparse superposition codes on the additive white Gaussian noise channel [1]. Here we generalize our analysis to a much broader setting. We show for any memoryless ... -
The Mutual Information in Random Linear Estimation
(IEEE, 2017-02)We consider the estimation of a signal from the knowledge of its noisy linear random Gaussian projections, a problem relevant in compressed sensing, sparse superposition codes or code division multiple access just to cite ... -
The Layered Structure of Tensor Estimation and its Mutual Information
(arXiv, 2017-10)We consider rank-one non-symmetric tensor esti- mation and derive simple formulas for the mutual information. We start by the order 2 problem, namely matrix factorization. We treat it completely in a simpler fashion than ... -
Mutual information for symmetric rank-one matrix estimation: A proof of the replica formula
(Neural Information Processing conference (NIPS), 2016)Factorizing low-rank matrices has many applications in machine learning and statistics. For probabilistic models in the Bayes optimal setting, a general expression for the mutual information has been proposed using heuristic ...