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CpDecomposition

oxiphysics_core::tensor

Struct CpDecomposition 

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pub struct CpDecomposition {
    pub a: Vec<Vec<f64>>,
    pub b: Vec<Vec<f64>>,
    pub c: Vec<Vec<f64>>,
    pub lambdas: Vec<f64>,
}
Expand description

CP (CANDECOMP/PARAFAC) decomposition result.

A rank-R CP decomposition of a tensor T ≈ Σ_r λ_r (a_r ⊗ b_r ⊗ c_r).

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§a: Vec<Vec<f64>>

Mode-0 factor matrix: shape (n0, rank).

§b: Vec<Vec<f64>>

Mode-1 factor matrix: shape (n1, rank).

§c: Vec<Vec<f64>>

Mode-2 factor matrix: shape (n2, rank).

§lambdas: Vec<f64>

Normalisation weights λ_r.

Implementations§

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impl CpDecomposition

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pub fn reconstruction_norm(&self) -> f64

Compute the Frobenius norm of the reconstructed tensor.

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pub fn rank(&self) -> usize

Return the number of components (CP rank).

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pub fn cp_rank(&self) -> usize

Return the rank (number of CP components).

Trait Implementations§

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impl Clone for CpDecomposition

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fn clone(&self) -> CpDecomposition

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source. Read more
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impl Debug for CpDecomposition

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fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter. Read more

Auto Trait Implementations§

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impl<T> Any for T
where T: 'static + ?Sized,

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fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
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impl<T> Borrow<T> for T
where T: ?Sized,

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fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
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impl<T> BorrowMut<T> for T
where T: ?Sized,

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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T> Same for T

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type Output = T

Should always be Self
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impl<SS, SP> SupersetOf<SS> for SP
where SS: SubsetOf<SP>,

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fn to_subset(&self) -> Option<SS>

The inverse inclusion map: attempts to construct self from the equivalent element of its superset. Read more
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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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impl<T> ToOwned for T
where T: Clone,

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type Owned = T

The resulting type after obtaining ownership.
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fn to_owned(&self) -> T

Creates owned data from borrowed data, usually by cloning. Read more
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fn clone_into(&self, target: &mut T)

Uses borrowed data to replace owned data, usually by cloning. Read more
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impl<T, U> TryFrom<U> for T
where U: Into<T>,

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.