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1 vote
0 answers
171 views

Projection pursuit regression

Projection pursuit regression (PPR) is described in Hastie et al.'s The Elements of Statistical Learning in the chapter on neural networks. The algorithm was introduced by Friedman and Stuetzle (1981)....
Estacionario's user avatar
5 votes
1 answer
2k views

Is it possible to use variational autoencoders with Non-Gaussian data?

I am dealing with two scenarios: 1) Non-Gaussian data distribution and 2) non-stationary data). First, I am planning to use a variational autoencoder for modeling the probability distribution of the ...
Amhs_11's user avatar
  • 333
2 votes
1 answer
56 views

Quantifying importance of a parameter in neural networks' prediction

Say I'm given a neural network, parameterized by a $d$-dimensional vector $\theta$, and an input $x$. Given the prediction of this model $f_{\theta}(x)$, can I somehow quantify importance of each of $...
SpiderRico's user avatar
4 votes
1 answer
1k views

Can someone explain why neural networks are highly parameterized?

I understand that neural networks by definition, are a parametric model. If I am correct, Parametric methods make an assumption about the functional form, or shape, of f. For a neural network, what ...
user277337's user avatar
44 votes
4 answers
69k views

What exactly is the difference between a parametric and non-parametric model?

I am confused with the definition of non-parametric model after reading this link Parametric vs Nonparametric Models and Answer comments of my another question. Originally I thought "parametric vs ...
Haitao Du's user avatar
  • 37.2k
0 votes
0 answers
402 views

Non-parametric non-linear regression with deep learning

I have a situation where I have an increasing list of real numbers $\vec a$ of variable length (generally about 50 numbers but sometimes more). It turns out that these numbers uniquely correspond to ...
rhombidodecahedron's user avatar
8 votes
2 answers
2k views

Bayesian nonparametric answer to deep learning?

As I understand it, deep neural networks are performing "representation learning" by layering features together. This allows learning very high dimensional structures in the features. Of course, it's ...
cgreen's user avatar
  • 1,002