Parametric Accelerated Failure Time Models: Estimate

Estimate

An optional panel to specify the settings to control the estimation of the accelerated failure time models and the optional feature selection process.

Alternating Direction Method or Multipliers (ADMM)

Fast

Applies the fast alternating direction method of multipliers (ADMM). This is the default.

Traditional

Applies the traditional ADMM algorithm.

Apply L-1 regularization

Conducts the process to control feature selection. The Penalty Parameter field specifies the penalty parameter that controls the regularization process. It must be a single value greater than 0. The default setting is 0.001.

Model Convergence Criteria

Parameter Convergence

Specifies the convergence criteria for the parameter. It must be a single numeric value belonging to [0, 1). The default setting is 0.000001. For Type, you can select either ABSOLUTE to apply the absolute convergence to the inner optimization or RELATIVE to apply the relative convergence to the inner optimization. The optional Value field specifies a keyword.

Objective Function Convergence

Specifies the convergence criteria for the objective function. It must be a single numeric value belonging to [0, 1). The default setting is 0, which does not apply the convergence criteria. For Type, you can select either ABSOLUTE to apply the absolute convergence to the inner optimization or RELATIVE to apply the relative convergence to the inner optimization. The optional Value field specifies a keyword.

Hessian Convergence

Specifies the convergence criteria for the Hessian matrix. It must be a single numeric value belonging to [0, 1). The default setting is 0, which does not apply the convergence criteria. For Type, you can select either ABSOLUTE to apply the absolute convergence to the inner optimization or RELATIVE to apply the relative convergence to the inner optimization. The optional Value field specifies a keyword.

Residual Convergence Criteria

An option to control the optimization process.

Both primal and dual residual

Applies both primal and dual residual convergence criterion. This is the default setting.

Primal residual only

Applies the primal residual convergence criterion.

Dual residual only

Applies the dual residual convergence criterion.

Method

An optional parameter to specify the estimation method.

Auto

Automatically chooses the method based on the sample data set. This is the default. The Threshold number of predictors field specifies the threshold of the number of predictors, and must be a single integer greater than 1. The default value is 1000.

Newton-Raphson

Applies the Newton-Raphson’s method.

L-BFGS

Applies the limited-memory BFGS algorithm. The Update field specifies the number of the past updates maintained by the limited-memory BFGS algorithm, and must be a single integer greater than or equal to 1. The default value is 5.

Iteration

Maximum iterations

Specifies the maximum number of iterations. It must be a single integer belonging to [1, 100]. The default setting is 20.

Maximum step-halving

Specifies the maximum number of step-halving. It must be a single integer belonging to [1, 20]. The default setting is 5.

Maximum number of line searches

Specifies the maximum number of the line searches. It must be a single integer belonging to [1, 100]. The default setting is 20.

Absolute convergence for iteration process

Specifies the absolute convergence for the outer iteration process. It must be a single numeric value belonging to (0, 1). The default setting is 0.0001.

Relative convergence for iteration process

Specifies the relative convergence for the outer iteration process. It must be a single numeric value belonging to (0, 1). The default setting is 0.01.