Public

Expansion Microscopy (ExM) — Public Tier

(5 scenes)

Full-access development tier with all data visible.

Measurements (y), ideal forward operator (H), spec ranges, ground truth (x_true), and true mismatch spec.

Load HDF5 → compare reconstruction vs x_true → check consistency → iterate.

Reconstructed signals (x_hat) and corrected spec as HDF5.

✓

True spec visible — use these exact values for Scenario III oracle reconstruction.

Parameter	Spec Range	True Value	Unit
expansion_factor	3.9 – 4.2	4.05	x
local_distortion	-1.0 – 2.0	0.5	relative
anisotropic_expansion	-0.6 – 1.2	0.3	xvsy

Method: CPU_baseline — Mismatch parameter: nominal

13.27 dB

SSIM 0.3991

11.88 dB

SSIM 0.2385

19.75 dB

SSIM 0.4579

Per-scene breakdown (4 scenes)

Scene	PSNR I	SSIM I	PSNR II	SSIM II	PSNR III	SSIM III
scene_00	17.02	0.3838	14.94	0.2440	20.04	0.5013
scene_01	14.23	0.2969	12.92	0.2098	19.23	0.5480
scene_02	8.52	0.3871	8.01	0.2308	20.11	0.3417
scene_03	13.30	0.5284	11.66	0.2694	19.61	0.4408

#	Method	Score	PSNR	SSIM	Consistency	Trust	Source
1	DiffExM + gradient	0.846	37.23	0.979	0.91	✓ Certified	Gao et al., NeurIPS 2024
2	PhysExM + gradient	0.831	35.95	0.973	0.91	✓ Certified	Chen et al., Nat. Commun. 2024
3	TransExM + gradient	0.822	34.6	0.965	0.95	✓ Certified	Li et al., Nat. Methods 2022
4	SwinExM + gradient	0.817	34.99	0.968	0.9	✓ Certified	Wang et al., Cell Syst. 2023
5	DeepInterp-ExM + gradient	0.771	31.72	0.94	0.89	✓ Certified	Lecoq et al., Nat. Methods 2021
6	DnCNN-ExM + gradient	0.735	29.26	0.905	0.9	✓ Certified	Zhao et al., Nat. Methods 2019
7	TV-ExM + gradient	0.710	27.37	0.867	0.95	✓ Certified	Rudin et al., Physica D 1992
8	RL-ExM + gradient	0.637	24.5	0.786	0.89	✓ Certified	Richardson, J. Opt. Soc. Am. 1972
9	Deconv-Exp + gradient	0.573	21.89	0.685	0.9	✓ Certified	Chen et al., Science 2015

y H_ideal spec_ranges x_true true_spec

Format: HDF5

Scenes: 5

0.4 × PSNR_norm + 0.4 × SSIM + 0.2 × (1 − ‖y − Ĥx̂‖/‖y‖)

PSNR: 40% SSIM: 40% Consistency: 20%