Subgradient ellipsoid method for nonsmooth convex problems. [PDF]
AbstractIn this paper, we present a new ellipsoid-type algorithm for solving nonsmooth problems with convex structure. Examples of such problems include nonsmooth convex minimization problems, convex-concave saddle-point problems and variational inequalities with monotone operator.
Rodomanov A, Nesterov Y.
europepmc +5 more sources
The Ellipsoid Factor for quantification of rods, plates and intermediate forms in 3D geometries [PDF]
The Ellipsoid Factor (EF) is a method for the local determination of the rod- or plate-like nature of porous or spongy continua. EF at a point within a 3D structure is defined as the difference in axis ratios of the greatest ellipsoid which fits inside ...
Michael eDoube
doaj +4 more sources
Ellipsoid Method for Linear Regression Parameters Determination [PDF]
Introduction. Linear regression parameters determination can be formulated as a non-smooth function minimization problem, which is Lp-norm of residual of the linear equations system.
V. Stovba
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Comparison of two- and three-dimensional ultrasound for volume estimation of the meal-stimulated gallbladder [PDF]
To compare two- and three-dimensional (2D and 3D) ultrasound of the gallbladder in an adult cohort.
Jouleh Tæraneh +7 more
doaj +2 more sources
Estimation of Kidney Volumes in Autosomal Dominant Polycystic Kidney Disease: A Comparison Between Manual Segmentation and Ellipsoid Formula [PDF]
Objectives: Evaluate the agreement and interobserver variability between manual segmentation and the ellipsoid formula in estimating single kidney volume (SKV) in patients with autosomal dominant polycystic kidney disease (ADPKD).
Nicola Maggialetti +7 more
doaj +2 more sources
3D Distance Filter for the Autonomous Navigation of UAVs in Agricultural Scenarios
In precision agriculture, remote sensing is an essential phase in assessing crop status and variability when considering both the spatial and the temporal dimensions.
Cesare Donati +5 more
doaj +1 more source
Using the Ellipsoid Method to Study Relationships in Medical Data
Deterioration of moral and psychological state on the background of a full–scale war is observed in many social groups. Timely detection of various types of pre–depressive states and appropriate therapy is a critically important task nowadays.
Petro Stetsyuk +4 more
doaj +1 more source
One method for minimization a convex Lipschitz-continuous function of two variables on a fixed square [PDF]
In the article we have obtained some estimates of the rate of convergence for the recently proposed by Yu. E.Nesterov method of minimization of a convex Lipschitz-continuous function of two variables on a square with a fixed side.
Dmitry Arkad'evich Pasechnyuk +1 more
doaj +1 more source
Definable Ellipsoid Method, Sums-of-Squares Proofs, and the Isomorphism Problem [PDF]
The ellipsoid method is an algorithm that solves the (weak) feasibility and linear optimization problems for convex sets by making oracle calls to their (weak) separation problem.
Atserias, Albert, Ochremiak, Joanna
core +5 more sources
Objectives. To study the dependencies obtained when determining the coordinates of an earthquake hypocentre using the figures of fourth and second orders.Method.
B. I. Shakhtarin +2 more
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