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by Cuchulainn
Today, 3:58 pm
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

What rocks your boat then as it were on this forum?
by Cuchulainn
Today, 1:16 pm
Forum: Technical Forum
Topic: Why is Bellman Equation solved by backwards?
Replies: 26
Views: 2090

Re: Why is Bellman Equation solved by backwards?

The more erudite Wilmott readers will know the Vico theory of time and that it moves in cycles. I've said it often enough. (Paul; Cycle 3 is democracy, which we are now leaving and going into Cycle 1 which will please some people). http://cdn8.openculture.com/wp-content/uploads/2013/11/Finnegansmoho...
by Cuchulainn
Today, 12:57 pm
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

How come, only Cybenko is touted in the literature? It isn't (only). You need to read more literature. Cheap one. How come, only Cybenko is touted in the MAINSTREAM literature? I see, Most ML users don't know either.  Show me a ML article that mentions Pinkus? I'm expecting you experts to come up w...
by Cuchulainn
Today, 10:01 am
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

Speak of the devil Sobolev training , train the function and its derivatives. That sound relevant. http://mcneela.github.io/machine_learning/2018/02/19/A-Synopsis-Of-DeepMinds-Sobolev-Training-Of-Neural-Networks.html Sounds like a logical step. Sobolev spaces are the bread and butter of advanced num...
by Cuchulainn
Today, 9:38 am
Forum: Politics Forum
Topic: News from the 'Border'
Replies: 161
Views: 10525

Re: News from the 'Border'

Fresh warning over post-Brexit US-UK trade deal
https://www.rte.ie/news/brexit/2019/1016/1083679-brexit/
by Cuchulainn
Today, 7:57 am
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

oh wait, a function you don't even know? We all know that it doesn't make sense.
That's one possible weltanschauung, that does not produce interesting cases.
It does - it's what Deep RL is about.
Any good examples? Does it always work or just in 'most' cases?
by Cuchulainn
Today, 7:54 am
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

The mathematical precision in Cybenko 1988 has been superceded/improved on here http://www2.math.technion.ac.il/~pinkus/papers/acta.pdf In particular, Theorems 3.1, 4.1, 5.1, 6.2, 6.7,  Proposition 3.3.  Seems like ML' maths is stuck in the 80s. The mathematical subtleties surrounding activation fu...
by Cuchulainn
Today, 6:37 am
Forum: Politics Forum
Topic: UK and the EU: In or out?
Replies: 2025
Views: 76002

Re: UK and the EU: In or out?

At least the English supporters didn't demolish the stadium this time around.
by Cuchulainn
Today, 6:35 am
Forum: Technical Forum
Topic: Why is Bellman Equation solved by backwards?
Replies: 26
Views: 2090

Re: Why is Bellman Equation solved by backwards?

Time flies like an arrow; fruit flies like a banana
by Cuchulainn
Yesterday, 8:09 pm
Forum: Technical Forum
Topic: Why is Bellman Equation solved by backwards?
Replies: 26
Views: 2090

Re: Why is Bellman Equation solved by backwards?

Time is an ill-posed concept
Time is what keeps everything from happening at once.
by Cuchulainn
Yesterday, 3:47 pm
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

Seriously ...  Arnulf Jentzen wrote 11 articles during the last three months...I think this is more than Nash in his entire life ! That's exactly what publish or perish  leads to. He is full professor, he is not obliged to do that. So, it's just the writing style that needs tweaking???? Who takes a...
by Cuchulainn
Yesterday, 2:57 pm
Forum: Off Topic
Topic: Global Warming - What We Can Do (Mitigation)
Replies: 597
Views: 198548

Re: Global Warming - What We Can Do (Mitigation)

Why is this focused on London? I suspect it’s people who have gone mad thanks to Brexit. They are susceptible to Groupthink, they have experienced positive feedback from within their bubble and the media.
A man who is tired of London, is tired of life.
by Cuchulainn
Yesterday, 2:26 pm
Forum: Off Topic
Topic: Melodic Metal
Replies: 420
Views: 34446

Re: Melodic Metal

Upcoming tour as drummer Demon Eyes

with

www.youtube.com/watch?v=iI8HXIhenHQ
by Cuchulainn
Yesterday, 1:24 pm
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

Homework for Cuch: this recent paper (jun 2017) is getting many people excited, it proposes SELU (instead of RELU, sigmoid). It works really well, I'm seeing very stable learning with deep networks. You can go straight to the appendix with the proofs (page 9 ..100) that motivate why it should work ...
by Cuchulainn
Yesterday, 1:18 pm
Forum: Numerical Methods Forum
Topic: Universal Approximation theorem
Replies: 148
Views: 11768

Re: Universal Approximation theorem

Cuch, you complain that there's not enough maths in ML. Is this paper sufficiently mathy for you?  https://arxiv.org/pdf/1908.10828.pdf I tried again to read this paper. Here is the Main Theorem , but I am afraid that an entire life would not be enough to understand it...I wonder if they are using ...
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