April 2024
Intermediate to advanced
336 pages
3h 27m
Japanese
Content preview from ゼロから作るDeep Learning ❺ ―生成モデル編
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付録Bイェンセンの不等式
ここでは、イェンセンの不等式について説明します。またイェンセンの不等式により、ELBOの導出ができることを示します（「5.2 EMアルゴリズムの導出①」では、本付録とは別の方法でELBOを導出しました）。
B.1 凸関数とイェンセンの不等式
イェンセンの不等式は、凸関数に関する性質を表した式です。「
が凸関数である」とは、のすべての弦が関数よりも上、もしくは関数上にあることを言います。弦とは、図B-1で示すように、関数上の任意の2点間の線分を表します。
図B-1 関数と弦
凸関数であることは、数式を使って次のように表されます。
任意の2つの点
に対して、がの間で以下の条件が成り立つとき凸関数という。
式(B.1)のは、点との間をの比率で内分する点を表します。同様に、 ...
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O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.