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ICMKernel

Struct ICMKernel 

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pub struct ICMKernel { /* private fields */ }
Expand description

Intrinsic Coregionalization Model (ICM) kernel.

K((x, i), (y, j)) = B[i, j] * k(x, y)

where:

  • B is the task covariance matrix (num_tasks x num_tasks)
  • k is the base kernel on features

This model assumes all tasks share the same underlying kernel but with different task-specific scales captured in B.

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impl ICMKernel

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pub fn new( base_kernel: Box<dyn Kernel>, task_covariance: Vec<Vec<f64>>, ) -> Result<Self>

Create a new ICM kernel.

§Arguments
  • base_kernel - Kernel for feature similarity
  • task_covariance - Positive semi-definite task covariance matrix
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pub fn independent( base_kernel: Box<dyn Kernel>, num_tasks: usize, ) -> Result<Self>

Create ICM with identity task covariance (independent tasks).

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pub fn uniform( base_kernel: Box<dyn Kernel>, num_tasks: usize, correlation: f64, ) -> Result<Self>

Create ICM with uniform task correlation.

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pub fn from_rank1( base_kernel: Box<dyn Kernel>, task_variances: Vec<f64>, ) -> Result<Self>

Create ICM from rank-1 decomposition B = v * v^T.

This is useful when you have task-specific variances.

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pub fn compute_tasks(&self, x: &TaskInput, y: &TaskInput) -> Result<f64>

Compute ICM kernel value for task inputs.

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pub fn num_tasks(&self) -> usize

Get number of tasks.

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pub fn task_covariance(&self) -> &Vec<Vec<f64>>

Get task covariance matrix.

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pub fn compute_task_matrix(&self, inputs: &[TaskInput]) -> Result<Vec<Vec<f64>>>

Compute full kernel matrix for multiple task inputs.

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