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Results tagged with machine-learning
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user 9652
5
votes
Accepted
Reconstructing Euclidian space from distance matrix
Yes, this is studied, for example under the name multidimensional scaling. Basically, one eigenvalue decomposition of a suitable matrix (that depends on the distances) shows if the data can be realize …
- 12.7k
1
vote
Is it possible to “solve” iterative (convex/non-convex) optimization problems via learning (...
The specific problem you gave has the property that for every given data $(A,b,y)$ there is exactly one $x$ that solves the problem. Hence, there a solution map $(A,b,y) \mapsto x$ mapping $\mathbb{R} …
- 12.7k
3
votes
When does the optimal model exist in learning theory?
Existence of minimizers is studied in the context of calculus of variations. There is quite some theory about it. The so called "direct method" goes as follows
Choose a topology on the hypothesis spa …
- 12.7k
7
votes
Mathematics of GANs (generative adversarial networks)
I recommend some papers by Lars Mescheder:
The paper The Numerics of GANs formalizes GANs as two-player games and analyzes their training dynamics,
the paper Which Training Methods for GANs do actual …
- 12.7k