Results 21 to 30 of about 51,949 (268)

Shallow Univariate ReLU Networks as Splines: Initialization, Loss Surface, Hessian, and Gradient Flow Dynamics

open access: yesFrontiers in Artificial Intelligence, 2022
Understanding the learning dynamics and inductive bias of neural networks (NNs) is hindered by the opacity of the relationship between NN parameters and the function represented.
Justin Sahs   +8 more
doaj   +1 more source

L’epoca delle splines: geometrie e linee del progetto contemporaneo

open access: yesDisegnare con, 2012
L’iconografia dell’architettura e del design di ogni epoca si caratterizza per l’uso di linee e di forme geometriche che vengono rese realizzabili dall’evoluzione dei materiali e delle tecniche costruttive, nonché dall’introduzione di particolari ...
Enrico Cicalò   +3 more
doaj   +1 more source

A Generic Multivariate Framework for the Integration of Microbiome Longitudinal Studies With Other Data Types

open access: yesFrontiers in Genetics, 2019
Simultaneous profiling of biospecimens using different technological platforms enables the study of many data types, encompassing microbial communities, omics, and meta-omics as well as clinical or chemistry variables.
Antoine Bodein   +3 more
doaj   +1 more source

Capturing outlines of generic shapes with cubic B´ezier curves using the Nelder–Mead simplex method [PDF]

open access: yesIranian Journal of Numerical Analysis and Optimization, 2019
We design a fast technique for fitting cubic B´ezier curves to the boundary of 2D shapes. The technique is implemented by means of the Nelder–Mead simplex procedure to optimize the control points.
A. Ebrahimi   +2 more
doaj   +1 more source

What are the limits of efficiency for the application of bi-cubic splines in a regional weather prediction grid point model?

open access: yesMeteorologische Zeitschrift, 2000
Single (one-dimensional) and bi-cubic (two-dimensional) splines have been used in numerical weather prediction models since about 1970. Especially the semi-Lagrangian advection schemes have been developed with the help of the spline interpolation method.
Thomas Prenosil, H.G. Becker
doaj   +1 more source

Fast spline quasicollocation solvers of integral equations

open access: yesMathematical Modelling and Analysis, 2007
A fast (C, Cm) solver for linear Fredholm integral equations u = Tu+f with smooth data is constructed on the basis of a discrete version of the spline quasicollocation method.
Gennadi Vainikko, Indrek Zolk
doaj   +1 more source

D-splines: Estimating rate schedules using high-dimensional splines with empirical demographic penalties

open access: yesDemographic Research, 2021
Background: High-dimensional parametric models with penalized likelihood functions strike a good balance between bias and variance for estimating continuous age schedules from large samples. The penalized spline (P-spline) approach is particularly useful
Carl Schmertmann
doaj   +1 more source

Crossing Scales: Data-Driven Determination of the Micro-scale Behavior of Polymers From Non-homogeneous Tests at the Continuum-Scale

open access: yesFrontiers in Materials, 2022
We propose an efficient method to determine the micro-structural entropic behavior of polymer chains directly from a sufficiently rich non-homogeneous experiment at the continuum scale.
Víctor J. Amores   +4 more
doaj   +1 more source

Cardinal approximation of functions by splines on an interval

open access: yesMathematical Modelling and Analysis, 2009
The cardinal interpolant of functions on the real line by splines is determined by certain formula free of solving large or infinite systems. We apply this formula to functions given on the interval [0,1] introducing special extensions of functions from [
Gennadi Vainikko
doaj   +1 more source

Splines for diffeomorphisms [PDF]

open access: yesMedical Image Analysis, 2015
This paper develops a method for higher order parametric regression on diffeomorphisms for image regression. We present a principled way to de ne curves with nonzero acceleration and nonzero jerk. This work extends methods based on geodesics which have been developed during the last decade for computational anatomy in the large deformation ...
Singh, Nikhil   +2 more
openaire   +3 more sources

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