{"artifact_id":"L1-026","layer":"L1","title":"Single-Pixel Imaging (random basis compressive sensing)","domain":"Compressive Imaging","sub_domain":"Single-pixel / single-detector imaging","physics_fingerprint":{"L_DAG":3.0,"title":"Single-Pixel Imaging (random basis compressive sensing)","domain":"Compressive Imaging","carrier":"photon","primitives":["S.pattern.random","L.inner_product","int.spatial","D.scalar"],"sub_domain":"Single-pixel / single-detector imaging","noise_model":"gaussian","problem_class":"linear_inverse","solution_space":"2D_spatial","difficulty_delta":3,"integration_axis":"spatial","sensing_mechanism":"structured_illumination"},"observable_profile":{"metric":"PSNR_dB","regime":"Underdetermined (m << n) compressive recovery; random sensing matrices with i.i.d. Bernoulli/Gaussian entries satisfy RIP w.h.p. when m >= C * s * log(n/s) for s-sparse signals in a known basis.","secondary":"SSIM"},"size_tiers":{"center_spec":{"omega":{"n_pixels":4096,"gain_alpha":0.0,"illum_sigma":0.0,"noise_level":0.01,"sampling_ratio":0.25},"input_format":"measurement_plus_pattern_matrix","problem_class":"compressed_sensing_recovery","forward_operator":"random_projection","epsilon_fn_center":"27.0 dB PSNR"},"omega_bounds":{"n_pixels":[1024,65536],"gain_alpha":[0.0,0.003],"dark_offset":[0.0,0.02],"illum_sigma":[0.0,15.0],"noise_level":[0.001,0.05],"sampling_ratio":[0.05,0.5]},"epsilon_bounds":{"psnr_db":[18.0,40.0]},"allowed_problem_classes":["compressed_sensing_recovery","sparse_recovery","basis_pursuit"],"allowed_omega_dimensions":["n_pixels","sampling_ratio","noise_level","gain_alpha","illum_sigma","dark_offset"],"allowed_forward_operators":["random_projection","hadamard","noiselet","gaussian_sensing"]},"hardness_fn":{"type":"epsilon_fn","delta":3,"kappa":4000,"metric":"PSNR_dB"},"initiator_dataset":[{"name":"primary","weight":1.0,"ipfs_cid":null,"license_hash":null}],"status":"testnet","staked_pwm":0.0,"chain_hash":"0x9530ddad080c15de3e2194d2487f390339dd06a6f57560f5c6196e85c3c655cb","chain_tx_hash":"0xdb29b0671dfe88bafb7b42624f90e28dd67bf064cd72ced85046d7feea520814","chain_block":41547811}