{"version":"1.0","provider_name":"BIG-S2","provider_url":"https:\/\/www.med.unc.edu\/bigs2","author_name":"Annie Shan","author_url":"https:\/\/www.med.unc.edu\/bigs2\/author\/yshan\/","title":"LocalSPD: Local Polynomial Regression for Symmetric Positive\u00a0Definite Matrices - BIG-S2","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"NvDJ7oACGc\"><a href=\"https:\/\/www.med.unc.edu\/bigs2\/sivc\/\">LocalSPD: Local Polynomial Regression for Symmetric Positive\u00a0Definite Matrices<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/www.med.unc.edu\/bigs2\/sivc\/embed\/#?secret=NvDJ7oACGc\" width=\"600\" height=\"338\" title=\"&#8220;LocalSPD: Local Polynomial Regression for Symmetric Positive\u00a0Definite Matrices&#8221; &#8212; BIG-S2\" data-secret=\"NvDJ7oACGc\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script type=\"text\/javascript\">\n\/* <![CDATA[ *\/\n\/*! This file is auto-generated *\/\n!function(d,l){\"use strict\";l.querySelector&&d.addEventListener&&\"undefined\"!=typeof URL&&(d.wp=d.wp||{},d.wp.receiveEmbedMessage||(d.wp.receiveEmbedMessage=function(e){var t=e.data;if((t||t.secret||t.message||t.value)&&!\/[^a-zA-Z0-9]\/.test(t.secret)){for(var s,r,n,a=l.querySelectorAll('iframe[data-secret=\"'+t.secret+'\"]'),o=l.querySelectorAll('blockquote[data-secret=\"'+t.secret+'\"]'),c=new RegExp(\"^https?:$\",\"i\"),i=0;i<o.length;i++)o[i].style.display=\"none\";for(i=0;i<a.length;i++)s=a[i],e.source===s.contentWindow&&(s.removeAttribute(\"style\"),\"height\"===t.message?(1e3<(r=parseInt(t.value,10))?r=1e3:~~r<200&&(r=200),s.height=r):\"link\"===t.message&&(r=new URL(s.getAttribute(\"src\")),n=new URL(t.value),c.test(n.protocol))&&n.host===r.host&&l.activeElement===s&&(d.top.location.href=t.value))}},d.addEventListener(\"message\",d.wp.receiveEmbedMessage,!1),l.addEventListener(\"DOMContentLoaded\",function(){for(var e,t,s=l.querySelectorAll(\"iframe.wp-embedded-content\"),r=0;r<s.length;r++)(t=(e=s[r]).getAttribute(\"data-secret\"))||(t=Math.random().toString(36).substring(2,12),e.src+=\"#?secret=\"+t,e.setAttribute(\"data-secret\",t)),e.contentWindow.postMessage({message:\"ready\",secret:t},\"*\")},!1)))}(window,document);\n\/* ]]> *\/\n<\/script>\n","description":"Local polynomial regression has received extensive attention for the nonparametric\u00a0estimation of regression functions when both the response and the covariate are in Euclidean\u00a0space. However, little has been done when the response is in a Riemannian manifold. We develop\u00a0an intrinsic local polynomial regression estimate for the analysis of symmetric positive definite\u00a0(SPD) matrices as responses that lie &hellip; Read more"}