Research map / Learning theory and algorithms / Matrix and tensor methods
Approximate Multiplication of Sparse Matrices with Limited Space
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use SCOD instead of COD | Approximate matrix multiplication on synthetic datasets · Low-rank and noisy low-rank datasets | runtime | Helped |
| Use SCOD instead of COD | Approximate matrix multiplication on synthetic datasets · Low-rank and noisy low-rank datasets | approximation error | Helped |
| Use SCOD instead of COD | Approximate matrix multiplication on real datasets · NIPS conference papers and MovieLens 10M | runtime | Helped |
| Use SCOD instead of COD | Approximate matrix multiplication on real datasets · NIPS conference papers and MovieLens 10M | accuracy | Helped |
| Use SCOD instead of FD-AMM, SFD-AMM, CS, or RP | Approximate matrix multiplication on synthetic datasets · Low-rank and noisy low-rank datasets | accuracy | Helped |
| Use SCOD instead of CS or Hashing | Approximate matrix multiplication on synthetic datasets · Low-rank and noisy low-rank datasets | runtime | Hurt |
| Use SCOD instead of CS or Hashing | Approximate matrix multiplication on synthetic datasets · Low-rank and noisy low-rank datasets | accuracy | Helped |
| Replace VSI with SI in SCOD (ablation) | SCOD · Approximate matrix multiplication experiments | accuracy | No clear effect |
| Reduce the number of shrinkage operations (ablation) | SCOD compared with COD · Approximation error and projection error across sketch sizes | approximation error | Helped |
| Use SCOD instead of SFD-AMM | Approximate matrix multiplication on real datasets · NIPS conference papers and MovieLens 10M | runtime | Helped |
| Use SCOD instead of SFD-AMM | Approximate matrix multiplication on real datasets · NIPS conference papers and MovieLens 10M | accuracy | Mixed |
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