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RecoveryGuarantee

oxiphysics_core::compressed_sensing

Struct RecoveryGuarantee 

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pub struct RecoveryGuarantee;
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Theoretical guarantees for exact sparse recovery.

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impl RecoveryGuarantee

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pub fn rip_constant(a: &[Vec<f64>], k: usize) -> f64

Estimate the Restricted Isometry Property (RIP) constant for sparsity k.

Computes the worst-case deviation from isometry across all k-sparse unit vectors by sampling deterministic sparse vectors and checking energy preservation.

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pub fn exact_recovery_condition(k: usize, m: usize, n: usize) -> bool

Check whether exact recovery is theoretically possible.

Based on the rule of thumb: m >= 2k * ln(n / k).

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pub fn rip_measurement_lower_bound(k: usize, n: usize) -> usize

Lower bound on the number of measurements for RIP-based recovery.

Returns ceil(C * k * log(n/k)) where C is a constant (here 4).

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pub fn lasso_error_bound(lambda: f64, k: usize, rip_delta: f64) -> f64

Compute the signal reconstruction error bound.

For LASSO with regularisation lambda, the error is bounded by C * lambda * sqrt(k) where C depends on the RIP constant.

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