calculate_loss

This function calculates the loss function based on the squared spherical distances between observed values and predicted values on the curve.

Fitting a smooth path to a given set of noisy spherical data observed at known time points. It implements a piecewise geodesic curve fitting method on the unit sphere based on a velocity-based penalization scheme. The proposed approach is implemented using the Riemannian block coordinate descent algorithm. To understand the method and algorithm, one can refer to Bak, K. Y., Shin, J. K., & Koo, J. Y. (2023) <doi:10.1080/02664763.2022.2054962> for the case of order 1. Additionally, this package includes various functions necessary for handling spherical data.

Kwan-Young Bak

spheresmooth

Piecewise Geodesic Smoothing for Spherical Data

Jae-Hwan Jhong

Ja-Yong Koo

Seyoung Lee

calculate_loss function

<dl><dt>y</dt>
<dd>Matrix of observed values.</dd>
<dt>gamma</dt>
<dd>Matrix of predicted values.</dd></dl>

Arguments

Calculate Loss Function — calculate_loss

<dl>

<dt>y</dt>
<dd>Matrix of observed values.</dd>


<dt>gamma</dt>
<dd>Matrix of predicted values.</dd>

</dl>

calculate_loss: Calculate Loss Function

Description

Usage

Value

Arguments