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Linear regression via brulee

Source: R/linear_reg_brulee.R
details_linear_reg_brulee.Rd

brulee::brulee_linear_reg() uses ordinary least squares to fit models with numeric outcomes.

Details

For this engine, there is a single mode: regression

Tuning Parameters

This model has 2 tuning parameter:

  • penalty: Amount of Regularization (type: double, default: 0.001)

  • mixture: Proportion of Lasso Penalty (type: double, default: 0.0)

The use of the L1 penalty (a.k.a. the lasso penalty) does not force parameters to be strictly zero (as it does in packages such as glmnet). The zeroing out of parameters is a specific feature the optimization method used in those packages.

Other engine arguments of interest:

  • optimizer(): The optimization method. See brulee::brulee_linear_reg().

  • epochs(): An integer for the number of passes through the training set.

  • lean_rate(): A number used to accelerate the gradient decsent process.

  • momentum(): A number used to use historical gradient infomration during optimization (optimizer = "SGD" only).

  • batch_size(): An integer for the number of training set points in each batch.

  • stop_iter(): A non-negative integer for how many iterations with no improvement before stopping. (default: 5L).

Translation from parsnip to the original package (regression)

linear_reg(penalty = double(1)) %>%
  set_engine("brulee") %>%
  translate()

## Linear Regression Model Specification (regression)
##
## Main Arguments:
##   penalty = double(1)
##
## Computational engine: brulee
##
## Model fit template:
## brulee::brulee_linear_reg(x = missing_arg(), y = missing_arg(),
##     penalty = double(1))

Preprocessing requirements

Factor/categorical predictors need to be converted to numeric values (e.g., dummy or indicator variables) for this engine. When using the formula method via fit(), parsnip will convert factor columns to indicators.

Predictors should have the same scale. One way to achieve this is to center and scale each so that each predictor has mean zero and a variance of one.

Case weights

The underlying model implementation does not allow for case weights.

References

  • Kuhn, M, and K Johnson. 2013. Applied Predictive Modeling. Springer.