Benjamin Ide
https://bcide.gitlab.io/
Recent content on Benjamin IdeHugo -- gohugo.ioenTue, 20 Feb 2018 03:24:00 -0500About
https://bcide.gitlab.io/pages/about/
Tue, 20 Feb 2018 03:24:00 -0500https://bcide.gitlab.io/pages/about/I’ll get around to writing this page eventually…Blogging from Emacs
https://bcide.gitlab.io/post/2018-02-20-blogging-from-emacs/
Tue, 20 Feb 2018 21:48:00 -0500https://bcide.gitlab.io/post/2018-02-20-blogging-from-emacs/<p>I decided to start a blog, and I decided I should be doing it from org-mode in Emacs.</p>
<p></p>Stability Analysis for Neural Networks
https://bcide.gitlab.io/wiki/stability-neural-networks/
Tue, 20 Feb 2018 20:54:00 -0500https://bcide.gitlab.io/wiki/stability-neural-networks/Setup This is super general because I don’t really know how deep learning is used for harder problems. I wanted it to apply in as general a case as possible.
Let \(0\leq n\in\mathbb Z\). Let \(V_k^{(d_k)}\) be an inner product space with orthonormal basis \(e_1^{(k)},\dots,e_{d_k}^{(k)}\) for \(k=0,\dots,n+1\). Let \(b_k\in V_k\) and \(W_k\in\mathcal L(V_{k-1},V_k)\) for \(k=1\dots,n\). Let \(\sigma:\mathbb R\to\mathbb R\) be such that it is continuous monotonically increasing (not necessarily strictly) \(\sigma’(t)\leq 1\) whereever the derivative exists.Math Sample
https://bcide.gitlab.io/post/2017-03-05-math-sample/
Sun, 05 Mar 2017 00:00:00 +0000https://bcide.gitlab.io/post/2017-03-05-math-sample/<p>KaTeX can be used to generate complex math formulas server-side.</p>
<p>$$
\phi = \frac{(1+\sqrt{5})}{2} = 1.6180339887\cdots
$$</p>
<p>Additional details can be found on <a href="https://github.com/Khan/KaTeX">GitHub</a> or on the <a href="http://tiddlywiki.com/plugins/tiddlywiki/katex/">Wiki</a>.
</p>Code Sample
https://bcide.gitlab.io/post/2016-03-08-code-sample/
Tue, 08 Mar 2016 00:00:00 +0000https://bcide.gitlab.io/post/2016-03-08-code-sample/<p>The following are two code samples using syntax highlighting.</p>
<p></p>Flake it till you make it
https://bcide.gitlab.io/post/2015-02-26-flake-it-till-you-make-it/
Thu, 26 Feb 2015 00:00:00 +0000https://bcide.gitlab.io/post/2015-02-26-flake-it-till-you-make-it/Under what circumstances should we step off a path? When is it essential that we finish what we start? If I bought a bag of peanuts and had an allergic reaction, no one would fault me if I threw it out. If I ended a relationship with a woman who hit me, no one would say that I had a commitment problem. But if I walk away from a seemingly secure route because my soul has other ideas, I am a flake?Test markdown
https://bcide.gitlab.io/post/2015-02-20-test-markdown/
Fri, 20 Feb 2015 00:00:00 +0000https://bcide.gitlab.io/post/2015-02-20-test-markdown/You can write regular markdown here and Jekyll will automatically convert it to a nice webpage. I strongly encourage you to take 5 minutes to learn how to write in markdown - it’ll teach you how to transform regular text into bold/italics/headings/tables/etc.
Here is some bold text
Here is a secondary heading Here’s a useless table:
Number Next number Previous number Five Six Four Ten Eleven Nine Seven Eight Six Two Three One How about a yummy crepe?