SinkhornSolver

Struct SinkhornSolver 

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

Log-stabilized Sinkhorn solver for entropic optimal transport

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impl SinkhornSolver

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pub fn new(regularization: f64, max_iterations: usize) -> Self

Create a new Sinkhorn solver

§Arguments
  • regularization - Entropy regularization ε (0.01-0.1 typical)
  • max_iterations - Maximum Sinkhorn iterations (100-1000 typical)
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pub fn with_threshold(self, threshold: f64) -> Self

Set convergence threshold

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pub fn compute_cost_matrix( source: &[Vec<f64>], target: &[Vec<f64>], ) -> Vec<Vec<f64>>

Compute the cost matrix for squared Euclidean distance Uses SIMD-friendly 4-way unrolled accumulator for better performance

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pub fn solve( &self, cost_matrix: &[Vec<f64>], source_weights: &[f64], target_weights: &[f64], ) -> Result<TransportPlan>

Solve optimal transport using log-stabilized Sinkhorn

§Arguments
  • cost_matrix - C[i,j] = cost to move from source[i] to target[j]
  • source_weights - Marginal distribution a (sum to 1)
  • target_weights - Marginal distribution b (sum to 1)
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pub fn distance(&self, source: &[Vec<f64>], target: &[Vec<f64>]) -> Result<f64>

Compute Sinkhorn distance (optimal transport cost) between point clouds

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pub fn barycenter( &self, distributions: &[&[Vec<f64>]], weights: Option<&[f64]>, support_size: usize, dim: usize, ) -> Result<Vec<Vec<f64>>>

Compute Wasserstein barycenter of multiple distributions

Returns the barycenter (mean distribution) in transport space

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impl Clone for SinkhornSolver

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fn clone(&self) -> SinkhornSolver

Returns a duplicate of the value. Read more
1.0.0 · Source§

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

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

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

Formats the value using the given formatter. Read more

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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> 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

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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.
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impl<V, T> VZip<V> for T
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fn vzip(self) -> V