The paper's central theorem, linking the covariance-gradient of f-divergence to a generalized Fisher information, is off by a missing factor (1-alpha_t) inherited from a flawed heat-equation lemma.
Interpretation and generalization of score mat ching,
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Generalized Score Matching: Bridging $f$-Divergence and Statistical Estimation Under Correlated Noise
The paper's central theorem, linking the covariance-gradient of f-divergence to a generalized Fisher information, is off by a missing factor (1-alpha_t) inherited from a flawed heat-equation lemma.