Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Royer, Clément"'
Autor:
Goyens, Florentin, Royer, Clément W.
The difficulty of minimizing a nonconvex function is in part explained by the presence of saddle points. This slows down optimization algorithms and impacts worst-case complexity guarantees. However, many nonconvex problems of interest possess a favo
Externí odkaz:
http://arxiv.org/abs/2402.07614
Derivative-free optimization (DFO) consists in finding the best value of an objective function without relying on derivatives. To tackle such problems, one may build approximate derivatives, using for instance finite-difference estimates. One may als
Externí odkaz:
http://arxiv.org/abs/2310.00755
Autor:
Onwunta, Akwum, Royer, Clément W.
Optimization problems constrained by partial differential equations (PDEs) naturally arise in scientific computing, as those constraints often model physical systems or the simulation thereof. In an implicitly constrained approach, the constraints ar
Externí odkaz:
http://arxiv.org/abs/2309.07086
Derivative-free algorithms seek the minimum of a given function based only on function values queried at appropriate points. Although these methods are widely used in practice, their performance is known to worsen as the problem dimension increases.
Externí odkaz:
http://arxiv.org/abs/2308.04734
Positive spanning sets span a given vector space by nonnegative linear combinations of their elements. These have attracted significant attention in recent years, owing to their extensive use in derivative-free optimization. In this setting, the qual
Externí odkaz:
http://arxiv.org/abs/2306.06383
Autor:
Brown, Adrian J., Kah, Linda, Mandon, Lucia, Wiens, Roger, Pinet, Patrick, Clavé, Elise, Mouélic, Stéphane Le, Udry, Arya, Gasda, Patrick J., Royer, Clément, Hickman-Lewis11, Keyron, Cousin, Agnes, Simon, Justin I., Comellas14, Jade, Cloutis, Edward, Fouchet, Thierry, Fairén, Alberto G., Connell, Stephanie, Flannery, David, Horgan, Briony, Mayhew, Lisa, Treiman, Allan, Núñez, Jorge I., Wogsland, Brittan, Benzerara, Karim, Amundsen, Hans E. F., Quantin-Nataf, Cathy, Hand, Kevin P., Debaille, Vinciane, Essunfeld, Ari, Beck, Pierre, Tosca, Nicholas J., Madariaga, Juan M., Ravanis, Eleni
We examine the observed properties of the Nili Fossae olivine-clay-carbonate lithology from orbital data and in situ by the Mars 2020 rover at the S\'e\'itah unit in Jezero crater, including: 1) composition (Liu, 2022) 2) grain size (Tice, 2022) 3) i
Externí odkaz:
http://arxiv.org/abs/2206.13380
Autor:
Hare, Warren, Royer, Clément W.
Nonconvex minimization algorithms often benefit from the use of second-order information as represented by the Hessian matrix. When the Hessian at a critical point possesses negative eigenvalues, the corresponding eigenvectors can be used to search f
Externí odkaz:
http://arxiv.org/abs/2206.05318
Autor:
Roberts, Lindon, Royer, Clément W.
In this paper, we study a generic direct-search algorithm in which the polling directions are defined using random subspaces. Complexity guarantees for such an approach are derived thanks to probabilistic properties related to both the subspaces and
Externí odkaz:
http://arxiv.org/abs/2204.01275
Nonlinear conjugate gradients are among the most popular techniques for solving continuous optimization problems. Although these schemes have long been studied from a global convergence standpoint, their worst-case complexity properties have yet to b
Externí odkaz:
http://arxiv.org/abs/2201.08568
Autor:
Fouchet, Thierry, Reess, Jean-Michel, Montmessin, Franck, Hassen-Khodja, Rafik, Nguyen-Tuong, Napoléon, Humeau, Olivier, Jacquinod, Sophie, Lapauw, Laurent, Parisot, Jérôme, Bonafous, Marion, Bernardi, Pernelle, Chapron, Frédéric, Jeanneau, Alexandre, Collin, Claude, Zeganadin, Didier, Nibert, Patricia, Abbaki, Sadok, Montaron, Christophe, Blanchard, Cyrille, Arslanyan, Vartan, Achelhi, Ourdya, Colon, Claudine, Royer, Clément, Hamm, Vincent, Bouzit, Mehdi, Poulet, François, Pilorget, Cédric, Mandon, Lucia, Forni, Olivier, Cousin, Agnès, Gasnault, Olivier, Pilleri, Paolo, Dubois, Bruno, Quantin, Cathy, Beck, Pierre, Beyssac, Olivier, Mouélic, Stéphane Le, Johnsson, Jeffrey R., McConnochie, Timothy H., Maurice, Sylvestre, Wiens, Roger C.
We present the Infrared spectrometer of SuperCam Instrument Suite that enables the Mars 2020 Perseverance Rover to study remotely the Martian mineralogy within the Jezero crater. The SuperCam IR spectrometer is designed to acquire spectra in the 1.3-
Externí odkaz:
http://arxiv.org/abs/2110.15428