All Questions
Tagged with learning-theory computer-science
7
questions
56
votes
10
answers
8k
views
A clear map of mathematical approaches to Artificial Intelligence
I have recently become interested in Machine Learning and AI as a student of theoretical physics and mathematics, and have gone through some of the recommended resources dealing with statistical ...
6
votes
1
answer
458
views
Why is this nonlinear transformation of an RKHS also an RKHS?
I came across this paper (beginning of page 6) where they stated that if $f,h\in \mathcal{H}$, where $\mathcal{H}$ is an RKHS, then $l_{h,f}=\left|f(x)-h(x)\right|^q$ where $q\geq 1$ also belongs to ...
- 373
3
votes
1
answer
293
views
Games and the right mathematical framework for GANs
Generative Adversarial Networks were introduced in http://papers.nips.cc/paper/5423-generative-adversarial-nets and has more than 20000 citations.
It is an important topic within deep learning.
Are ...
- 13.8k
1
vote
1
answer
546
views
Upper bounding VC dimension of an indicator function class
I would like to upper bound the VC dimension of the function class $ F$ defined as follows:
$$ F := \left\{ (x,t) \mapsto \mathbb{1} \left( c_Q\min_{q \in Q} {\|x-q \|}_1 - t > 0 \right) \; | \; Q ...
- 11
7
votes
0
answers
423
views
Does the Mandelbrot set have infinite VC dimension?
Define a binary classifier for points in the complex plane, whose parameter $\theta$ is an isometry of $\mathbb{C}$, and which classifies $z \in \mathbb{C}$ based on whether or not $\theta(z)$ is in ...
7
votes
1
answer
290
views
"Separated" version of Sauer's lemma on VC classes
Sauer's lemma, a well-known result in computational complexity theory, learning theory, and combinatorics, states the following:
Let $\Phi$ be a collection of subsets of a set $U$, and assume that ...
- 2,199
0
votes
1
answer
2k
views
AI / Machine Learning related to high/modern/front mathematics [closed]
I major math and cs. and i'm interested in ai/machine learning/data mining.
so i want to know what math subjects are used in frontier of these technology.
especially, high mathematical tool, like ...
- 21