Search Results - "ABSIL, P. P"

Global rates of convergence for nonconvex optimization on manifolds by Boumal, Nicolas, Absil, P-A, Cartis, Coralia

“…We consider the minimization of a cost function f on a manifold $\mathcal{M}$ using Riemannian gradient descent and Riemannian trust regions (RTR). We focus on…”
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Two algorithms for orthogonal nonnegative matrix factorization with application to clustering by Pompili, Filippo, Gillis, Nicolas, Absil, P.-A., Glineur, François

“…Approximate matrix factorization techniques with both nonnegativity and orthogonality constraints, referred to as orthogonal nonnegative matrix factorization…”
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A Riemannian rank-adaptive method for low-rank matrix completion by Gao, Bin, Absil, P.-A

“…The low-rank matrix completion problem can be solved by Riemannian optimization on a fixed-rank manifold. However, a drawback of the known approaches is that…”
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Low-rank matrix completion via preconditioned optimization on the Grassmann manifold by Boumal, Nicolas, Absil, P.-A.

“…We address the numerical problem of recovering large matrices of low rank when most of the entries are unknown. We exploit the geometry of the low-rank…”
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A Grassmann manifold handbook: basic geometry and computational aspects by Bendokat, Thomas, Zimmermann, Ralf, Absil, P.-A.

“…The Grassmann manifold of linear subspaces is important for the mathematical modelling of a multitude of applications, ranging from problems in machine…”
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Generalized Linear Models to Forecast Malaria Incidence in Three Endemic Regions of Senegal by Diao, Ousmane, Absil, P-A, Diallo, Mouhamadou

“…Affecting millions of individuals yearly, malaria is one of the most dangerous and deadly tropical diseases. It is a major global public health problem, with…”
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Low-rank retractions: a survey and new results by Absil, P.-A., Oseledets, I. V.

“…Retractions are a prevalent tool in Riemannian optimization that provides a way to smoothly select a curve on a manifold with given initial position and…”
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Strong versions of impulsive controllability and sampled observability by Absil, P.-A., Cojuhari, Irina, Fiodorov, Ion, Tits, André L.

“…We give a simple proof of the (perhaps not so) well known fact that exponential polynomials of order k with real exponents have at most k−1 real zeros. We…”
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1 V bias 67 GHz bandwidth Si-contacted germanium waveguide p-i-n photodetector for optical links at 56 Gbps and beyond by Chen, H, Verheyen, P, De Heyn, P, Lepage, G, De Coster, J, Balakrishnan, S, Absil, P, Yao, W, Shen, L, Roelkens, G, Van Campenhout, J

“…We demonstrate a 67 GHz bandwidth silicon-contacted germanium waveguide p-i-n photodetector operating at -1 V with 6.8 fF capacitance. The dark current is…”
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On the Continuity of the Tangent Cone to the Determinantal Variety by Olikier, Guillaume, Absil, P.-A.

“…Tangent and normal cones play an important role in constrained optimization to describe admissible search directions and, in particular, to formulate…”
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High-efficiency fiber-to-chip grating couplers realized using an advanced CMOS-compatible silicon-on-insulator platform by Vermeulen, D, Selvaraja, S, Verheyen, P, Lepage, G, Bogaerts, W, Absil, P, Van Thourhout, D, Roelkens, G

“…A new generation of Silicon-on-Insulator fiber-to-chip grating couplers which use a silicon overlay to enhance the directionality and thereby the coupling…”
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On a minimum enclosing ball of a collection of linear subspaces by Marrinan, Tim, Absil, P.-A., Gillis, Nicolas

“…This paper concerns the minimax center of a collection of linear subspaces. For k-dimensional subspaces of an n-dimensional vector space, this can be cast as…”
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Data Fitting on Manifolds with Composite Bézier-Like Curves and Blended Cubic Splines by Gousenbourger, Pierre-Yves, Massart, Estelle, Absil, P.-A.

“…We propose several methods that address the problem of fitting a C 1 curve γ to time-labeled data points on a manifold. The methods have a parameter, λ , to…”
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Solving non-convex economic dispatch with valve-point effects and losses with guaranteed accuracy by Van Hoorebeeck, Loïc, Absil, P.-A., Papavasiliou, Anthony

“…•Study of power losses in the economic dispatch.•Development of a method for this non-smooth and non-convex problem.•Guaranteed accuracy solution with respect…”
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Silicon photonics integrated circuits: a manufacturing platform for high density, low power optical I/O's by Absil, Philippe P, Verheyen, Peter, De Heyn, Peter, Pantouvaki, Marianna, Lepage, Guy, De Coster, Jeroen, Van Campenhout, Joris

“…Silicon photonics integrated circuits are considered to enable future computing systems with optical input-outputs co-packaged with CMOS chips to circumvent…”
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Global Solution of Economic Dispatch with Valve Point Effects and Transmission Constraints by Van Hoorebeeck, Loïc, Absil, P.-A., Papavasiliou, Anthony

“…•Impact of the valve point effect in the economic dispatch.•Implementation of heuristics and tests on modified benchmark problems.•Optimality gap analysis of…”
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A Gradient-Descent Method for Curve Fitting on Riemannian Manifolds by Samir, Chafik, Absil, P.-A., Srivastava, Anuj, Klassen, Eric

“…Given data points p 0 ,…, p N on a closed submanifold M of ℝ n and time instants 0= t 0 < t 1 <⋅⋅⋅< t N =1, we consider the problem of finding a curve γ on M…”
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Riemannian gradient descent methods for graph-regularized matrix completion by Dong, Shuyu, Absil, P.-A., Gallivan, K.A.

“…Low-rank matrix completion is the problem of recovering the missing entries of a data matrix by using the assumption that the true matrix admits a good…”
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Trust-Region Methods on Riemannian Manifolds by Absil, P.-A., Baker, C.G., Gallivan, K.A.

“…A general scheme for trust-region methods on Riemannian manifolds is proposed and analyzed. Among the various approaches available to (approximately) solve the…”
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Intrinsic representation of tangent vectors and vector transports on matrix manifolds by Huang, Wen, Absil, P.-A., Gallivan, K. A.

“…The quasi-Newton methods on Riemannian manifolds proposed thus far do not appear to lend themselves to satisfactory convergence analyses unless they resort to…”
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