Constructive setting for problems of density ratio estimation

By Vladimir Naumovich Vapnik, Igor Braga, Rauf Izmailov. 2015

7 citations recorded by the source corpus.

Subfields: Computational Mechanics, Control and Systems Engineering, Signal Processing

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Ahmed M. Elgammal
2. Chetan Tonde
3. Praneeth Vepakomma
4. Rauf Izmailov
5. Vladimir Naumovich Vapnik

In Control and Systems Engineering

1. Rauf Izmailov
2. Ahmed M. Elgammal
3. Chetan Tonde
4. Praneeth Vepakomma
5. Vladimir Naumovich Vapnik
6. Andrew Y. Ng
7. L. Eon Bottou
8. Abdulhakim M. Abdi

In Signal Processing

1. Ahmed M. Elgammal
2. Chetan Tonde
3. Praneeth Vepakomma
4. Rauf Izmailov
5. Vladimir Naumovich Vapnik

Citations in the corpus

• Supervised Dimensionality Reduction via Distance Correlation Maximization (2016, methodology): “This is done under orthonormal constraints over B , and the optimal solution is found by approximating p zy ( z,y ) p z ( z ) p y ( y ) using method of density ratio estimation [Sugiyama et al., 2012, Vapnik et al., 2015], and also an analytical closed form solution for the minima is obtained.”
• Learning using privileged information: similarity control and knowledge transfer (2015, methodology): “As shown in Vapnik and Izmailov (2015a) and Vapnik et al. (2015), this requires solving the Fredholm integral equation θ(x − t)P (y = 1|t)dP (t) = P (y = 1, x), where probability functions P (y = 1, x) and P (x) are unknown but iid data (35) generated according to joint distribution P (y, x) are…”