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OuterGradientFdRhoBlock

gam_solve::estimate::outer_eval_capture

Struct OuterGradientFdRhoBlock 

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pub struct OuterGradientFdRhoBlock {
Show 16 fields
    pub analytic_gradient: Array1<f64>,
    pub finite_difference_gradient: Array1<f64>,
    pub steps: Array1<f64>,
    pub fd_uncertainty: Array1<f64>,
    pub fd_orders: Vec<usize>,
    pub analytic_audit_total: Array1<f64>,
    pub analytic_fixed_beta: Array1<f64>,
    pub analytic_logdet_h: Array1<f64>,
    pub analytic_frozen_logdet_h: Array1<f64>,
    pub analytic_mode_response_logdet_h: Array1<f64>,
    pub analytic_logdet_s: Array1<f64>,
    pub analytic_kkt: Array1<f64>,
    pub finite_difference_fixed_beta: Array1<f64>,
    pub finite_difference_logdet_h: Array1<f64>,
    pub finite_difference_logdet_s: Array1<f64>,
    pub finite_difference_kkt: Array1<f64>,

}
Expand description

Analytic-vs-finite-difference evidence for the ρ (log-smoothing) block at the same seed, in ρ-local order (#2765).

The ψ block above and this one are graded by the SAME Ridders ladder against the SAME criterion, which is the point: the two blocks share the criterion’s moving-Hessian machinery (the trace kernel K and the mode-response drift D_β H[v]) but have structurally different frozen drifts — λ_k S_k, a known exact matrix, for ρ, and the family’s own ∂_ψ H|_β for ψ. So a defect that shows in BOTH blocks lives in the shared machinery and a defect that shows in only one lives in that block’s own drift. Without this the bisection could not be made, and a ψ-only audit could only report that something in the chain was wrong.

The analytic parts come from the ρ-block audit channel (RhoGradientParts), which the capture arms for itself; the finite-difference parts come from the same criterion-component stencils the ψ block uses.

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§analytic_gradient: Array1<f64>§finite_difference_gradient: Array1<f64>§steps: Array1<f64>§fd_uncertainty: Array1<f64>§fd_orders: Vec<usize>§analytic_audit_total: Array1<f64>

The analytic entry as the ρ-block audit reports it, before the prior gradient and the canonical-face KKT projection the assembly applies afterwards. Equal to analytic_gradient on every model that carries neither; recorded separately so a gap between them is visible rather than charged to the derivative.

§analytic_fixed_beta: Array1<f64>§analytic_logdet_h: Array1<f64>§analytic_frozen_logdet_h: Array1<f64>

analytic_logdet_h split at the drift: the half that does not read the coefficient mode response, ½ tr(K · λ_k S_k), and the half that does, ½ tr(K · D_β H[v_k]). The first is PSD-by-construction, so a negative entry is a defect that needs no oracle at all.

§analytic_mode_response_logdet_h: Array1<f64>§analytic_logdet_s: Array1<f64>§analytic_kkt: Array1<f64>

audit_total − (fixed_beta + logdet_h + logdet_s): the IFT/KKT fold.

§finite_difference_fixed_beta: Array1<f64>§finite_difference_logdet_h: Array1<f64>§finite_difference_logdet_s: Array1<f64>§finite_difference_kkt: Array1<f64>

Trait Implementations§

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impl Clone for OuterGradientFdRhoBlock

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fn clone(&self) -> OuterGradientFdRhoBlock

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 OuterGradientFdRhoBlock

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

Formats the value using the given formatter. Read more

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