Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Ethan Fenn
Slide 9 illustrates an 8-value unum (3 bits wide), then says the corresponding SORN is 8 bits wide. I don't know how else to interpret this unless we're talking about the full power set of values. Likewise for the explanation a few slides earlier about filled vs. empty values being represented as b

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Alan Wolfe
Your ideas are interesting Evan and it's interesting that you mention lattices. An off topic usage case I was thinking about for these is actually for lattice based homomorphic encryption. (like gentry's or homomorphic encryption over the integers) When it takes 10 minutes per logic gate, a simpl

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Evan Balster
Ethan: Take care not to overlook the solution proposed for SORN size: Yes, a comprehensive SORN for the set of N-bit unums takes 2^N bits. But in most practical applications we'll use SORNS representing continuous ranges of unums on the "circle" (which may cross infinity). As the author notes,

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Ethan Fenn
My money's still on this being not merely impractical but complete nonsense. People with actual interesting new ideas tend to present them in a straightforward way, rather than filling a slide deck with "What Big Mathematics Doesn't Want You To Know About This New Encoding." -Ethan On Fri, Apr

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Bjorn Roche
On Fri, Apr 15, 2016 at 11:09 AM, Alan Wolfe wrote: > They aren't full sized lookup tables but smaller tables. There are > multiple lookups ORd together to get the final result. > Ah, I see. I was confused by the relationship between the ORs and the LUTs. > I don't understand them fully yet, but

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Alan Wolfe
They aren't full sized lookup tables but smaller tables. There are multiple lookups ORd together to get the final result. I don't understand them fully yet, but I ordered his book and am going to start trying to understand them and make some blog posts with working example C code. I'll share with

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Bjorn Roche
I can see this being applicable to: - GPUs, especially embedded GPUs on mobile, where low precision floats are super useful, and exact conformity to IEEE isn't (at least, I don't think conformity is part of any of the usual specs, but it may be) - Storage (I have an application now that could bene

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Ethan Fenn
Sorry, you don't need 2^256 bits, my brain was just getting warmed up and I got ahead of myself there. There are 2^256 different SORNs in this scenario and you need 256 bits to represent them all. But the point stands that if you actually want good precision (2^32 different values, for instance), t

Re: [music-dsp] R: Anyone using unums?

2016-04-15 Thread Ethan Fenn
I really don't think there's a serious idea here. Pure snake oil and conspiracy theory. Notice how he never really pins down one precise encoding of unums... doing so would make it too easy to poke holes in the idea. For example, this idea of SORNs is presented, wherein one bit represents the pre

[music-dsp] R: Anyone using unums?

2016-04-15 Thread Marco Lo Monaco
I read his slides. Great ideas but the best part is when he challenges Dr. Kahan with the star trek trasing/kidding. That made my day.Thanks for sharing Alan Inviato dal mio dispositivo Samsung Messaggio originale Da: Alan Wolfe Data: 14/04/2016 23:30 (GMT+01:00) A