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SpectralAnalysis

trustformers_debug::tensor_inspector

Struct SpectralAnalysis 

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pub struct SpectralAnalysis {
    pub singular_values: Vec<f64>,
    pub condition_number: f64,
    pub rank: usize,
    pub spectral_norm: f64,
    pub effective_rank: f64,
}
Expand description

Spectral analysis of tensor values

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§singular_values: Vec<f64>

Every singular value of the matrix, sorted descending.

This field used to be called eigenvalues and held a single number produced by ten steps of power iteration – which is not an eigenvalue for a non-symmetric matrix and was hardcoded to 0.0 for every non-square matrix. Singular values are what a rectangular matrix actually has, and these are the real ones from a full SVD.

§condition_number: f64

2-norm condition number sigma_max / sigma_min.

f64::INFINITY when the smallest singular value is numerically zero, i.e. the matrix is singular. (The previous value, lambda_max divided by the Frobenius norm, was not a condition number under any definition.)

§rank: usize

Numerical rank: the number of singular values above the standard LAPACK/NumPy tolerance max(rows, cols) * sigma_max * f64::EPSILON.

§spectral_norm: f64

Spectral norm (largest singular value).

§effective_rank: f64

Roy & Vetterli (2007) effective rank: exp(H(p)) where p_i is the singular-value distribution sigma_i / sum(sigma) and H is its Shannon entropy in nats. Lies in [1, rank].

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impl Clone for SpectralAnalysis

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fn clone(&self) -> SpectralAnalysis

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 SpectralAnalysis

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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<'de> Deserialize<'de> for SpectralAnalysis

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fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>
where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer. Read more
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impl Serialize for SpectralAnalysis

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fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>
where __S: Serializer,

Serialize this value into the given Serde serializer. Read more

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