SVM for data prediction in R - r

I'd like to use the 'e1071' library for fitting an SVM model. So far, I've made a model that creates a curve regression based on the data set.
(take a look at the purple curve):
However, I want the SVM model to "follow" the data, such that the prediction for each value is as close as possible to the actual data. I think this is possible because of this graph that shows how SVMs (model 2) model are similar to an ARIMA model (model 1):
I tried changing the kernel to no avail. Any help will be much appreciated.

Fine tuning a SVM classifier is no easy task. Have you considered other models? For ex. GAM's (generalized additive models)? These work well on very curvy data.

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Multilevel mixed-effects tobit regression in R

I have a dataset with data left censored and I wanted to apply a multilevel mixed-effects tobit regression, but I only find information about how to do it in Stata. Is it possible to do it in R?
I found the packages 'VGAM' and 'CensREG', but I don't get how to add fixed and random effects.
Also my data is log-normal distributed, is there a way to add this to the model?
Thanks!
According to Section 3.5 of a vignette, the censReg package can handle a mixed model if the data are prepared properly via the plm package.
This Cross Validated page shows an example.
I don't have experience with this; it might only work with formal panel data rather than more general random-effects structures.
If your data are truly log-normal, you could take logs first and set the lower censoring limit on the log scale. Note that an apparent log-normal distribution of outcomes might just represent a corresponding distribution of predictor values with an underlying normal error distribution around the predictions. Don't jump blindly into a log-normal assumption.

Assessing LDA predictions with textmineR in R - Calculating perplexity?

I am working on a LDA model with textmineR, have calculated coherence, log-likelihood measures and optimized my model.
As a last step I would like to see how well the model predicts topics on unseen data. Thus, I am using the predict() function from the textminer package in combination with GIBBS sampling on my testset-sample.
This results in predicted "Theta" values for each document in my testset-sample.
While I have read in another post that perplexity-calculations are not available with the texminer package (See this post here: How do i measure perplexity scores on a LDA model made with the textmineR package in R?), I am now wondering what the purpose of the prediction function is then for? Especially with a large dataset of over 100.000 Documents it is hard to just visually assess whether the prediction has performed well or not.
I do not want to use perplexity for model selection (I am using coherence/log-likelihood instead), but as far as I understand, perplexity would help me to understand how well the prediction is and how "surprised" the model is with new, previously unseen data.
Since this does not seem to be available for textmineR, I am not sure how to assess the model prediction. Is there anything else that I could use to measure the prediction quality of my textminer model?
Thank you!

can we get probabilities the same way that we get them in logistic regression through random forest?

I have a data structure with binary 0-1 variable (click & Purchase; click & not-purchase) against a vector of the attributes. I used logistic regression to get the probabilities of the purchase. How can I use Random Forest to get the same probabilities? Is it by using Random Forest regression? or is it Random Forest classification with type='prob' in R which gives the probability of categorical variable?
It won't give you the same result since the structure of the two method are different. Logistic regression is given by a definitive linear specification, where RF is a collective vote from multiple independent/random trees. If specification and input feature are properly tuned for both, they can produce comparable results. Here is the major difference between the two:
RF will give more robust fit against noise, outliers, overfitting or multicollinearity etc which are common pitfalls in regression type of solution. Basically if you don't know or don't want to know much about whats going in with the input data, RF is a good start.
logistic regression will be good if you know expertly about the data and how to properly specify the equation. Or somehow want to engineer how the fit/prediction works. The explicit form of GLM specification will allow you to do that.

Cross validation on fitted survival objects?

I can see how cv.glm work with a glm object, but what about fitted survival models?
I have a bunch of models (Weibull, Gompertz, lognormal, etc). I want to assess the prediction error using cross validation. Which package/function can do this in R?
SuperLearner can do V-fold cross-validation for a large library of underlying machine learning algorithms, not sure that it includes survival models. Alternatively, take a look at the cvTools package, which is designed to help do cross-validation of any prediction algorithm you give it.

prediction intervals with caret

I've been using the caret package in R to run some boosted regression tree and random forest models and am hoping to generate prediction intervals for a set of new cases using the inbuilt cross-validation routine.
The trainControl function allows you to save the hold-out predictions at each of the n-folds, but I'm wondering whether unknown cases can also be predicted at each fold using the built-in functions, or whether I need to use a separate loop to build the models n-times.
Any advice much appreciated
Check the R package quantregForest, available at CRAN. It can easily calculate prediction intervals for random forest models. There's a nice paper by the author of the package, explaining the backgrounds of the method. (Sorry, I can't say anything about prediction intervals for BRT models; I'm looking for them by myself...)

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