A Tweedie calculus framework is introduced that proves the existence of a unique continuous linear functional governing direct expressions for conditional expectations of latent variables from observed densities in additive noise models.
For eachαwith|α| ≤k, we have∂ α f∈C 0(Rd;C), hence∂ α fis uniformly continuous, so ∥τx(∂ α f)−∂ α f∥ ∞ →0 asx→0
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Tweedie Calculus
A Tweedie calculus framework is introduced that proves the existence of a unique continuous linear functional governing direct expressions for conditional expectations of latent variables from observed densities in additive noise models.