Results 1 to 10 of about 92,928 (266)
Anomaly Detection Based on Convex Analysis: A Survey
Frontiers in Physics, 2022 As a crucial technique for identifying irregular samples or outlier patterns, anomaly detection has broad applications in many fields. Convex analysis (CA) is one of the fundamental methods used in anomaly detection, which contributes to the robust ...
Tong Wang +8 more
doaj +1 more source
Sharpening Sparse Regularizers via Smoothing
IEEE Open Journal of Signal Processing, 2021 Non-convex sparsity-inducing penalties outperform their convex counterparts, but generally sacrifice the cost function convexity. As a middle ground, we propose the sharpening sparse regularizers (SSR) framework to design non-separable non-convex ...
Abdullah H. Al-Shabili +2 more
doaj +1 more source
Sparse Regularized Optimal Transport with Deformed q-Entropy
Entropy, 2022 Optimal transport is a mathematical tool that has been a widely used to measure the distance between two probability distributions. To mitigate the cubic computational complexity of the vanilla formulation of the optimal transport problem, regularized ...
Han Bao, Shinsaku Sakaue
doaj +1 more source
AutoBar: Automatic Barrier Coverage Formation for Danger Keep Out Applications in Smart City
Sensors, 2023 Barrier coverage is a fundamental application in wireless sensor networks, which are widely used for smart cities. In applications, the sensors form a barrier for the intruders and protect an area through intrusion detection.
Ying Shao +8 more
doaj +1 more source
New Journal of Physics, 2023 Motivated by the Penrose–Onsager criterion for Bose–Einstein condensation we propose a functional theory for targeting low-lying excitation energies of bosonic quantum systems through the one-particle picture.
Julia Liebert, Christian Schilling
doaj +1 more source
Variational Methods in Convex Analysis [PDF]
Journal of Global Optimization, 2006 The authors use variational arguments, namely minimization arguments and decoupling mechanisms, to derive some fundamental theorems in convex analysis. Many important result in linear functional analysis can then be deduced as special cases.
Jonathan M. Borwein, Qiji J. Zhu
openaire +2 more sources
A convex approach to hydrodynamic analysis [PDF]
2015 54th IEEE Conference on Decision and Control (CDC), 2015 Preliminary version submitted to 54rd IEEE Conference on Decision and Control, Dec.
Mohamadreza Ahmadi +2 more
openaire +2 more sources
Convexity in Real Analysis [PDF]
Real Analysis Exchange, 2011 We treat the classical notion of convexity in the context of hard real analysis. Definitions of the concept are given in terms of defining functions and quadratic forms, and characterizations are provided of different concrete notions of convexity. This analytic notion of convexity is related to more classical geometric ideas.
openaire +3 more sources
General optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities
Anais da Academia Brasileira de Ciências, 2005 We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal constants are also provided.
Jurandir Ceccon, Marcos Montenegro
doaj +1 more source
On the sufficiency of K-positivity for truncated compactly supported generalized moment problems
Examples and Counterexamples, 2021 Given a compact set K and a finite set of continuous basis functions, the truncated generalized K-moment problem asks for a characterization of all sequences that can be obtained as moments, with respect to the basis functions, of some nonnegative ...
Axel Ringh
doaj +1 more source