Research map / Learning theory and algorithms / Matrix and tensor methods
Statistical mechanics of low-rank tensor decomposition
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use Bayesian AMP instead of ALS | Low-rank tensor decomposition · Noisy tensors | Inference error | Helped |
| Allow different priors for different tensor modes | AMP for non-symmetric tensors · Tensor decomposition with one zero-mean mode | Existence of an easy inference regime | Helped |
| Use a cubic rather than a non-cubic tensor shape | Low-rank tensor decomposition · Tensor shapes | Width of the hard regime | Hurt |
| Increase noise beyond the algorithmic transition | AMP · Noisy tensor decomposition | Inference error | Hurt |
| Increase noise beyond the dynamical transition | AMP · Noisy tensor decomposition | Inference error | Hurt |
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