SOTA Posterior Sampling benchmarks and papers with code

Benchmarks

Dataset Name	SOTA Method	Metric
Linear Gaussian n=400	EKS	SWD1.047	24	1mo ago
Linear Gaussian n=80	EKS	SWD2.357	24	1mo ago
Linear Gaussian n=2		SWD1.423	24	1mo ago
Potts q=3, beta=1.2 16x16	TB + Buffer + MCMC	Sinkhorn Distance12.37	8	4mo ago
Potts 16x16 (q=3, beta=1.005)	TB + Buffer + MCMC	Sinkhorn Distance78.5	8	4mo ago
Ising 16x16 (beta=1.2)	LV + Buffer	Sinkhorn Distance0.02	8	4mo ago
Ising beta=0.6 16x16	TB + Buffer + MCMC	Sinkhorn Distance3.47	8	4mo ago
Ising beta=0.4407 16x16	TB	Sink Metric68.79	8	4mo ago
FFHQ	Spectral recommendations	PSNR22.35	8	4mo ago
X-ray tomography	TR	Mean Error0.143	7	1mo ago
SLCP SBI benchmark	M-GAN	C2ST98	7	3mo ago
Bernoulli GLM SBI	Kerrigan	C2ST99	7	3mo ago
Gaussian Mixture SBI benchmark	Kerrigan	C2ST96	7	3mo ago
Two Moons SBI benchmark	Kerrigan	C2ST99	6	3mo ago
Navier–Stokes	Multistep Diffusion	Time per Sample (s)1.05	6	4mo ago
Reaction–Diffusion		Time per Sample (s)1.04	6	4mo ago
Advection	Multistep Diffusion	Time per Sample (s)1.05	6	4mo ago
Darcy	Multistep Diffusion	Time per Sample (s)1.05	6	4mo ago
Inpainting	TR	Mean Error0.513	5	1mo ago
Random linear sensing	TR	Mean Error0.239	5	1mo ago
four-dimensional Gaussian mixture (test)	annealed MCMC	Expected Distance (ED)0.0958	5	2mo ago
64 independent signals (sparse observations) (test)	Cond. Diff.	RMSE0.347	5	4mo ago
Phase retrieval	TR	Mean Error0.504	4	1mo ago
Linear-Gaussian problems	DAPS	Diffusion Drift (Train)0	4	1mo ago
Heston model posterior sampling 19	NF	Time (s)2,243	3	1mo ago

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