In this paper, we introduce and study degenerate state-dependent sweeping processes with nonregular moving sets (subsmooth positively $$\alpha $$ -far). Based on the Moreau–Yosida regularization, prove existence of solutions under Lipschitzianity respect to truncated Hausdorff distance.

This work reviews the effect of parametric programming on visual performance, daylighting and shading in office buildings in Tehran-Iran and studies their influences that help not only to reduce the glare but also to promote useful daylight illuminance through promoting visual comfort. It starts by establishing a review of the effective parameters on visual comfort indices, glare indices, and d...

A popular approach for estimating an unknown signal x0 ∈ R from noisy, linear measurements y = Ax0 +z ∈ R is via solving a so called regularized M-estimator: x̂ := arg minx L(y−Ax)+λf(x). Here, L is a convex loss function, f is a convex (typically, non-smooth) regularizer, and, λ > 0 is a regularizer parameter. We analyze the squared error performance ‖x̂ − x0‖2 of such estimators in the high-dim...

We propose BinaryRelax, a simple two-phase algorithm, for training deep neural networks with quantized weights. The set constraint that characterizes the quantization of weights is not imposed until the late stage of training, and a sequence of pseudo quantized weights is maintained. Specifically, we relax the hard constraint into a continuous regularizer via Moreau envelope, which turns out to...

1 A standard framework for facilitating the phenotyping of the shoot part (D. Moreau) 2 Acetylene reduction assay (ARA): protocol for estimating nitrogenase activity in M. truncatula root nodules (D. Moreau) 3 Techniques for phenotyping root architecture and nodulation development (V. Bourion, S. Fournier, H. De Larambergue and G. Duc) 4 C and N flux determination (C. Salon, A.S. Voisin, C. Jeu...

The inside cover picture, designed by Fabrice Goursaud, holder of a PhD in organic chemistry and recently graduated from art school, illustrates the stereoselective synthesis tetrahydro[2,3-b]pyridine frameworks via one-pot metal-organo relay catalysis. strategy, which involves gold-catalyzed cycloisomerization chiral amine mediated cycloaddition reaction, provides targeted molecules yields ran...

We consider equations of the form Bf = g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann’s covering theorem for max-plus linear equations, and give various ...