Struct AtomParameterView 

pub struct AtomParameterView {
    pub basis_values: Array2<f64>,
    pub basis_jacobian: Array3<f64>,
    pub decoder: Array2<f64>,
    pub coords: Array2<f64>,
    pub activations: Array1<f64>,
    pub basis_second_jet: Option<Array4<f64>>,
}

One atom’s exact parameter-space view (#998): the raw objects the fit actually optimizes, in which the model-class gauge orbits live.

The mean-frame certificate (FittedAtom::frame) is a lossy compression: the true gauge orbits are compensated motions — the latent coordinates move AND the decoder counter-rotates (e.g. Φ(t+ε)·R(−ε)B = Φ(t)B for the harmonic circle) — whose net action on the mean frame is identically zero, so no frame-space realisation can measure them (#995’s calibrated tolerance is the honest floor there). With this view the certificate realises each orbit exactly: the coordinate motion field δt comes from the group action, and the decoder compensation δB is profiled out by least squares against the data motion. The leftover residual is the orbit’s true data cost — exactly zero when the basis family is closed under the action (harmonics under shifts, linear charts under rotations), genuinely positive when it is not (a Duchon patch under so(d)). Basis closure is therefore a computed per-generator quantity, not a declared flag.

Fields

basis_values: Array2<f64>

Basis values Φ, (n, M).

basis_jacobian: Array3<f64>

Basis first-derivative jet Φ', (n, M, latent_dim).

decoder: Array2<f64>

Decoder coefficients B, (M, p).

coords: Array2<f64>

Latent coordinates t, (n, latent_dim) — the chart the group acts on.

activations: Array1<f64>

Per-row assignment mass a_nk, length n.

basis_second_jet: Option<Array4<f64>>

Basis second-derivative jet Φ'', (n, M, latent_dim, latent_dim). Required only to lower an isometry OrbitPenaltyOperator for a pin-active fit (#998): the penalty is a function of the pullback metric g_n = J_nᵀ W_n J_n, and the first-order change of g_n under a coordinate motion δt differentiates J_n = Φ'_n B through t, which needs Φ''. None keeps the data-only orbit verdict (no pin), exactly as before; absence never errors.

Trait Implementations

impl Clone for AtomParameterView

fn clone(&self) -> AtomParameterView

Returns a duplicate of the value.

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

Performs copy-assignment from source.

impl Debug for AtomParameterView

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

Formats the value using the given formatter.