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19
votes
2
answers
4k
views
What is shrinkage?
The word shrinkage gets thrown around a lot in certain circles. But what is shrinkage, there does not seem to be a clear definition. … What are the different types of theoretical shrinkage I can talk about? How can shrinkage help in prediction? Can people provide some good insight or references? …
6
votes
2
answers
3k
views
Shrinkage priors
I am building a Bayesian model where I to put shrinkage priors such as spike and slab, horseshoe prior, etc on some parameters for feature selection, but I am not able to decide which one is the best. …
1
vote
0
answers
143
views
BIC-Lasso Shrinkage
I am currently reviewing the below paper and was wondering if it was possible to correctly implement the BIC equation for "BIC-LASSO Shrinkage". … I've been reviewing the below function ic.glmnet but just wanted to make sure the formula used here is correct for BIC-LASSO Shrinkage. …
5
votes
2
answers
7k
views
Shrinkage parameter in Adaboost?
I'm unclear how the shrinkage parameter works in Adaboost. … I understand the concept of shrinkage in the theoretical sense related to ordinary least squares, but I'm not sure how to interpret this parameter in relation to Adaboost. …
2
votes
2
answers
96
views
Total Cost Shrinkage
I have a question regarding Shrinkage Methods. … In it they used one formula for the total cost of a regression, which seems to justify using shrinkage best:
Total Cost = measure of fit + measure of magnitude of coefficients
However, the formula …
7
votes
1
answer
1k
views
Shrinkage of the Sample Covariance matrix
), and $F$ is the shrinkage target. … In shrinkage, the most challenging part is how to compute (automatically) the shrinkage intensity. …
1
vote
1
answer
827
views
Does cross-validation shrinkage of the r-squared have anything to do with LASSO shrinkage?
LASSO methods are used in estimating predictive models, and they rely on "shrinkage" of coefficient estimates for model selection. … When I first saw the LASSO method ("Least Absolute Shrinkage...") I thought it was a short cut to a better predictor. …
0
votes
1
answer
192
views
Proof of "Shrinkage" in Statistics
I have the following question regarding the Proof of "Shrinkage" in Statistics. … Up to the present moment, I always thought that "Shrinkage" was a synonymous term with "Regularization", and referred to a technique in statistics used to combat the "Bias-Variance Tradeoff" within predictive …
1
vote
0
answers
45
views
Stein shrinkage of multiple univariate regressions
As in, for example in "The Risk of James–Stein and Lasso Shrinkage" by Hansen or "Ridge regression and James-Stein estimation - review and comments" by Draper et al. … So I would like to calculate shrinkage coefficient for each $b_k$ using information about coefficients from other univariate regressions. …
10
votes
1
answer
3k
views
L2-regularization vs random effects shrinkage
How is that shrinkage better than / different from fixed-effects logistic regression with one-hot-encoding of ID variables and shrinkage via L2-regularization? … In a fixed-effects model, I can control the amount of shrinkage by changing my penalty, $\lambda$, of L2-regularization while in a random-effects model I have no control on the amount of shrinkage. …
3
votes
1
answer
365
views
GAM Parameter Estimates and Shrinkage
Where do I see the shrinkage? Or is there no shrinkage going on? …
3
votes
0
answers
21
views
Covariance estimation: Shrinkage estimation
I am trying to understand why the covariance estimation shrinkage works. Is there any theory behind any of these approach? …
4
votes
3
answers
187
views
Shrinkage That Does not Preserve Partial Order
When estimating multivariate means, do all shrinkage approaches preserve partial order? I mean do the order of the means from a MLE estimate change after shrinkage? … Are there any approaches to shrinkage that doesn't preserve partial order (basically making them equal after shrinkage doesn't count, such as hard thresholding). …
0
votes
0
answers
107
views
ROSE acceptable dispersion/shrinkage
I am wondering — is there any rule of thumb on the dispersion (or shrinkage parameter in Python imbalanced learn (imblearn) package? …
0
votes
1
answer
72
views
Covariance Linear Shrinkage Estimator : Implied Data
I have been using linear shrinkage to better estimate the covariance matrix when I do not have enough data. … Now, let $\bf \hat\Sigma$ be the covariance estimated by linear shrinkage (proposed by Ledoit-Wolf). …