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TuckerDecomposition

g_math::fixed_point::imperative::tensor_decompose

Struct TuckerDecomposition 

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pub struct TuckerDecomposition {
    pub core: Tensor,
    pub factors: Vec<FixedMatrix>,
}
Expand description

Tucker decomposition: T ≈ G ×₁ U₁ ×₂ U₂ ×₃ U₃ …

G is a small core tensor, U_n are orthogonal factor matrices per mode. HOSVD (Higher-Order SVD) computes the factors via SVD of mode unfoldings.

Fields§

§core: Tensor

Core tensor of shape (r₁, r₂, …, r_N) where r_n ≤ d_n.

§factors: Vec<FixedMatrix>

Factor matrices: factors[n] is d_n × r_n.

Implementations§

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impl TuckerDecomposition

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pub fn reconstruct(&self) -> Tensor

Reconstruct the full tensor from core + factors.

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pub fn compression_ratio(&self, original_shape: &[usize]) -> f64

Compression ratio: original_elements / (core + factor) elements.

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