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Structural Results on the HMLasso
AxiomsHMLasso (Lasso with High Missing Rate) is a useful technique for sparse regression when a high-dimensional design matrix contains a large number of missing data. To solve HMLasso, an appropriate positive semidefinite symmetric matrix must be obtained. In
Shin-ya Matsushita, Hiromu Sasaki
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Strongly hyperbolically convex functions
Journal of Mathematical Analysis and Applications, 2007 Let \(C(w_1,w_2,w_3)\) denote the circle in \(\widehat{\mathbb C}\) through \(w_1,w_2,w_3\), and let \(\widehat{w_1w_2}\) denote one of the two arcs between \(w_1,w_2\) belonging to \(C(w_1,w_2,w_3)\). The authors prove that a domain \(\Omega\) in the Riemann sphere with no antipodal points is spherically convex if and only if for any \(w_1,w_2,w_3\in \
Cruz, Lorena, Mejía, Diego
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Weber’s problem on the Riemannian Manifolds: Some upper bounds for the minimun Weber’s function
Selecciones Matemáticas, 2019 In this paper we obtain some upper bounds for the minimum of the Weber function on a strongly convex ball in a Riemannian manifold with positive sectional curvature; where the minimum is reached on the weighted geometric median of “m” given points in the
Franco Rubio López +2 more
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Advances in Difference Equations, 2021 Some new integral inequalities for strongly ( α , h − m ) $(\alpha ,h-m)$ -convex functions via generalized Riemann–Liouville fractional integrals are established.
Ghulam Farid +4 more
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Strongly Convex Functions, Moreau Envelopes, and the Generic Nature of Convex Functions with Strong Minimizers [PDF]
SIAM Journal on Optimization, 2016 In this work, using Moreau envelopes, we define a complete metric for the set of proper lower semicontinuous convex functions in a finite-dimensional space. Under this metric, the convergence of each sequence of convex functions is epi-convergence. We show that the set of strongly convex functions is dense but it is only of the first category.
Planiden, Chayne, Wang, Xianfu
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(C-K)-strongly n-convex functions in linear spaces [PDF]
, 2013 The notion of strongly n-convex functions with a control symmetric ()n\)-linear function (\varphi\) in the class of functions acting from one real linear space to another one are introduced.
Kominek, Zygfryd
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When is the inverse of an invertible convex function itself convex? [PDF]
, 2023 We provide a sufficient condition for an invertible (locally strongly) convex vector-valued function on $\mathbb{R}^N$ to have a (locally strongly) convex inverse.
Planqué, Robert
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Strongly (g,h;α − m)-convex functions and the consequent Hermite–Hadamard-type inequalities
Applied Mathematics in Science and EngineeringIn this paper, we define a new class of strongly [Formula: see text]-convex functions. Some important implications are listed and related with already known classes.
Yonghong Liu +5 more
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Alternating Proximity Mapping Method for Strongly Convex-Strongly Concave Saddle-Point Problems [PDF]
, 2023 This is a continuation of our previous work entitled \enquote{Alternating Proximity Mapping Method for Convex-Concave Saddle-Point Problems}, in which we proposed the alternating proximal mapping method and showed convergence results on the sequence of ...
Ouyang, Hui
core
Going viral − Virus‐targeting nanobodies for research, diagnostics and therapy
FEBS Letters, EarlyView.The increasing prevalence of viral diseases represents a major threat for global human health. Nanobodies, small binding fragments derived from camelid heavy‐chain antibodies, offer versatile tools for viral research, diagnostics, and antiviral therapy.
Domenic Ebert, Ulrich Rothbauer
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