I own some bitcoin and I intend to hold for a really long time. The total value of my crypto holdings is small enough that I would be OK with it losing all of it, but I would really prefer it to grow instead.
There are moments when I believe …
Modifying a Plustek 8100 to Scan Medium Format
The Plustek 8100 is a relatively cheap but good quality film scanner. It produces much nicer scans than most flatbed-type scanners, but it can only capture small format film. In this page I show how to modify a Plustek 8100 to scan medium format (120 film) by stitching together multiple …
A Class of Multivariate Functions that Behave Like Single-Letter Random Variables
Vector-encoders of a certain pretty restricted class happen to carry the same information content as univariate encoders. This turns out to be relevant to an aspect of time-expanded information bottlenecks.
Claim
Take X _ 1,\dots, X _ n iid over finite alphabet …
Extracting Relevant Information over Many Trials
The information bottleneck scenario goes like this:
We are interested in a quantity Y but only observe X which we must process down to a rate R \in (0, H(X)). To this end, what random variables (U,Q) minimize H …
Hypersphere Cap Volumes in Matlab
The volume of a height-h cap of a ball of radius r in dimension n can be derived:
\begin{equation} \operatorname{vol}(\operatorname{cap}) = \frac{1}{2} \cdot \frac{\pi^{n/2}}{\Gamma\left(1+n/2\right)} \cdot r^n \cdot I_{(2rh-h^2)/r …
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