Search Results - "Glineur, Francois"
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Least-Squares Methods for Nonnegative Matrix Factorization Over Rational Functions
Published in IEEE transactions on signal processing (2023)“…Nonnegative matrix factorization (NMF) models are widely used to analyze linearly mixed nonnegative data. When the data is made of samplings of continuous…”
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On the Set of Possible Minimizers of a Sum of Convex Functions
Published in IEEE control systems letters (2024)“…Consider a sum of convex functions, where the only information known about each individual summand is the location of a minimizer. In this letter, we give an…”
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Weighted Sum Rate Maximization for Downlink OFDMA With Subcarrier-Pair Based Opportunistic DF Relaying
Published in IEEE transactions on signal processing (01-05-2013)“…This paper addresses a weighted sum rate (WSR) maximization problem for downlink OFDMA aided by a decode-and-forward (DF) relay under a total power constraint…”
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Real-Time Dynamic Spectrum Management for Multi-User Multi-Carrier Communication Systems
Published in IEEE transactions on communications (01-03-2014)Get full text
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5
A Global-Local Synthesis Approach for Large Non-Regular Arrays
Published in IEEE transactions on antennas and propagation (01-04-2014)“…A method is proposed for the synthesis of large planar non-regular arrays assuming constant magnitude for the excitation of the elements. The approach, which…”
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Accelerated multiplicative updates and hierarchical ALS algorithms for nonnegative matrix factorization
Published in Neural computation (01-04-2012)“…Nonnegative matrix factorization (NMF) is a data analysis technique used in a great variety of applications such as text mining, image processing,…”
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First-order methods of smooth convex optimization with inexact oracle
Published in Mathematical programming (01-08-2014)“…We introduce the notion of inexact first-order oracle and analyze the behavior of several first-order methods of smooth convex optimization used with such an…”
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Smooth strongly convex interpolation and exact worst-case performance of first-order methods
Published in Mathematical programming (2017)“…We show that the exact worst-case performance of fixed-step first-order methods for unconstrained optimization of smooth (possibly strongly) convex functions…”
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Using underapproximations for sparse nonnegative matrix factorization
Published in Pattern recognition (01-04-2010)“…Nonnegative matrix factorization consists in (approximately) factorizing a nonnegative data matrix by the product of two low-rank nonnegative matrices. It has…”
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Exact Worst-Case Convergence Rates of the Proximal Gradient Method for Composite Convex Minimization
Published in Journal of optimization theory and applications (01-08-2018)“…We study the worst-case convergence rates of the proximal gradient method for minimizing the sum of a smooth strongly convex function and a non-smooth convex…”
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Random Block Coordinate Descent Methods for Linearly Constrained Optimization over Networks
Published in Journal of optimization theory and applications (01-04-2017)“…In this paper we develop random block coordinate descent methods for minimizing large-scale linearly constrained convex problems over networks. Since coupled…”
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On the worst-case complexity of the gradient method with exact line search for smooth strongly convex functions
Published in Optimization letters (01-10-2017)“…We consider the gradient (or steepest) descent method with exact line search applied to a strongly convex function with Lipschitz continuous gradient. We…”
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On the geometric interpretation of the nonnegative rank
Published in Linear algebra and its applications (01-12-2012)“…The nonnegative rank of a nonnegative matrix is the minimum number of nonnegative rank-one factors needed to reconstruct it exactly. The problem of determining…”
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14
Optimal inexactness schedules for tunable oracle-based methods
Published in Optimization methods & software (03-05-2024)“…Several recent works address the impact of inexact oracles in the convergence analysis of modern first-order optimization techniques, e.g. Bregman Proximal…”
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Nonnegative Matrix Factorization over Continuous Signals using Parametrizable Functions
Published in Neurocomputing (Amsterdam) (27-11-2020)“…Nonnegative matrix factorization is a popular data analysis tool able to extract significant features from nonnegative data. We consider an extension of this…”
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Conic optimization-based algorithms for nonnegative matrix factorization
Published in Optimization methods & software (04-07-2023)“…Nonnegative matrix factorization is the following problem: given a nonnegative input matrix V and a factorization rank K, compute two nonnegative matrices, W…”
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Proximal gradient methods with inexact oracle of degree q for composite optimization
Published in Optimization letters (30-04-2024)“…Abstract We introduce the concept of inexact first-order oracle of degree q for a possibly nonconvex and nonsmooth function, which naturally appears in the…”
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Unsupervised Minimum Redundancy Maximum Relevance Feature Selection for Predictive Maintenance: Application to a Rotating Machine
Published in International journal of prognostics and health management (15-08-2021)“…Identifying and selecting optimal prognostic health indicators in the context of predictive maintenance is essential to obtain a good model and make accurate…”
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Real‐time image‐guided treatment of mobile tumors in proton therapy by a library of treatment plans: a simulation study
Published in Medical physics (Lancaster) (01-01-2023)“…Purpose To improve target coverage and reduce the dose in the surrounding organs‐at‐risks (OARs), we developed an image‐guided treatment method based on a…”
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A geometric lower bound on the extension complexity of polytopes based on the f-vector
Published in Discrete Applied Mathematics (15-11-2021)“…A linear extension of a polytope Q is any polytope which can be mapped onto Q via an affine transformation. The extension complexity of a polytope is the…”
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