{"version":"1.0","provider_name":"i40","provider_url":"https:\/\/i40.dit.uoi.gr","author_name":"Dimitris Mitrogiorgos","author_url":"https:\/\/i40.dit.uoi.gr\/index.php\/author\/dim_mitrogiorgos\/","title":"\u039c\u03b5\u03b3\u03ac\u03bb\u03b1 \u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ae - i40","type":"rich","width":600,"height":338,"html":"<blockquote class=\"wp-embedded-content\" data-secret=\"InqqriwWS0\"><a href=\"https:\/\/i40.dit.uoi.gr\/index.php\/programma-spoudon\/megala-dedomena-kai-analytiki\/\">\u039c\u03b5\u03b3\u03ac\u03bb\u03b1 \u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ae<\/a><\/blockquote><iframe sandbox=\"allow-scripts\" security=\"restricted\" src=\"https:\/\/i40.dit.uoi.gr\/index.php\/programma-spoudon\/megala-dedomena-kai-analytiki\/embed\/#?secret=InqqriwWS0\" width=\"600\" height=\"338\" title=\"&#8220;\u039c\u03b5\u03b3\u03ac\u03bb\u03b1 \u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ae&#8221; &#8212; i40\" data-secret=\"InqqriwWS0\" frameborder=\"0\" marginwidth=\"0\" marginheight=\"0\" scrolling=\"no\" class=\"wp-embedded-content\"><\/iframe><script>\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\/\/# sourceURL=https:\/\/i40.dit.uoi.gr\/wp-includes\/js\/wp-embed.min.js\n<\/script>\n","description":"B&#8217; \u0395\u03be\u03ac\u03bc\u03b7\u03bd\u03bf \u03a5\u03c0\u03bf\u03c7\u03c1\u03b5\u03c9\u03c4\u03b9\u03ba\u03cc \u0395\u03be \u03b1\u03c0\u03bf\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03c2 \u039c\u03b5\u03b3\u03ac\u03bb\u03b1 \u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u0391\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ae \u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03b5 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03c3\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd (DFT, wavelets). \u03a0\u03c1\u03bf\u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd. \u0395\u03be\u03b1\u03b3\u03c9\u03b3\u03ae \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd, \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd, \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 (Singular value decomposition). \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c3\u03c5\u03bc\u03c0\u03af\u03b5\u03c3\u03b7\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd (scalar and vector quantization, lossless and lossy compression). \u0395\u03c5\u03c1\u03b5\u03c4\u03ae\u03c1\u03b9\u03b1 \u03a7\u03c9\u03c1\u03b9\u03ba\u03ce\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd (Spatial Access Methods &#8211; k-d trees, quadtrees, z-ordering, space filing curves, R-trees). \u03a0\u03b9\u03c3\u03c4\u03c9\u03c4\u03b9\u03ba\u03ad\u03c2 \u039c\u03bf\u03bd\u03ac\u03b4\u03b5\u03c2 ECTS 0 \u0395\u03b2\u03b4\u03bf\u03bc\u03ac\u03b4\u03b5\u03c2 \u03b4\u03b9\u03b4\u03b1\u03c3\u03ba\u03b1\u03bb\u03af\u03b1\u03c2 0 \u038f\u03c1\u03b5\u03c2 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03bf\u03cd \u03c6\u03cc\u03c1\u03c4\u03bf\u03c5 0 \u0392\u03b9\u03b2\u03bb\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ad\u03c2 \u03c0\u03b7\u03b3\u03ad\u03c2 0 \u039c\u03b1\u03b8\u03b7\u03c3\u03b9\u03b1\u03ba\u03ac \u0391\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 1) \u039a\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ce\u03bd \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1\u03c2 2) \u039a\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03c0\u03bf\u03bb\u03c5\u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd 3) \u03a5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03b5\u03bc\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1\u03c2 4) \u039a\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c7\u03c1\u03ae\u03c3\u03b7\u03c2 \u03b1\u03bb\u03b3\u03bf\u03c1\u03b9\u03b8\u03bc\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 5) \u03a3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03bd\/\u03c0\u03bf\u03bb\u03c5\u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c4\u03c9\u03bd\/\u03c0\u03bf\u03bb\u03c5\u03c4\u03c1\u03bf\u03c0\u03b9\u03ba\u03ce\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd 6) \u0395\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 \u03c3\u03b5 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03c0\u03bf\u03bb\u03c5\u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c4\u03c9\u03bd \u03c3\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd 7) \u03a5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03b5\u03bc\u03b7\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7\u03c2 \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1\u03c2 \u0393\u03b5\u03bd\u03b9\u03ba\u03ad\u03c2 \u0399\u03ba\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u0391\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 &amp; \u03c3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u0391\u03c5\u03c4\u03cc\u03bd\u03bf\u03bc\u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u039f\u03bc\u03b1\u03b4\u03b9\u03ba\u03ae \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u0395\u03c0\u03b1\u03b3\u03c9\u03b3\u03b9\u03ba\u03ae &amp; \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b9\u03ba\u03ae \u03c3\u03ba\u03ad\u03c8\u03b7 \u039c\u03b5\u03b3\u03ac\u03bb\u03b1 \u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03a4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03a0\u03b5\u03c1\u03b9\u03b5\u03c7\u03cc\u03bc\u03b5\u03bd\u03bf \u039c\u03b1\u03b8\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 &#8211; \u0395\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 1 \u0395\u03b9\u03c3\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03b5 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03c3\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd 2 \u03a0\u03c1\u03bf\u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd, \u03b5\u03be\u03b1\u03b3\u03c9\u03b3\u03ae \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd, \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd, \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c4\u03b1\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 3 \u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c3\u03c5\u03bc\u03c0\u03af\u03b5\u03c3\u03b7\u03c2 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd, 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Nesterov Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers,&#8221; Foundations and Trends in Machine Learning, Vol. 3, No. 1 (2010)Stephen Boyd, Neal Parikh, Eric Chu, Borja Peleato and Jonathan Eckstein Proximal Algorithms, Foundations and Trends in Optimization, Vol. 1, No. 3 (2013)Neal Parikh, Stephen Boyd Convex Optimization, Cambridge University PressStephen Boyd, Lieven VandenbergheLinear Algebra and Learning from Data Wellesley-Cambridge Press, 2018Strang, GilbertIntroductory Lectures on Convex Programming Volume I: Basic courseYu. 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