Research map / Learning theory and algorithms / Matrix and tensor methods
Efficient Non-Oblivious Randomized Reduction for Risk Minimization with Improved Excess Risk Guarantee
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use NOR instead of RPDR or DSRR | ERM with randomized dimensionality reduction · Synthetic datasets | testing performance | Helped |
| Use NOR with exponential-decay data | Synthetic datasets · exp-1 | testing performance | No clear effect |
| Use NOR as singular-value decay becomes slower | Synthetic datasets · poly-0.5 and poly-1 | testing performance | Hurt |
| Use RS rather than RH or RG | NOR · Synthetic datasets with fast singular-value decay | testing performance | No clear effect |
| Use RS rather than RH or RG | NOR · Synthetic datasets with slower singular-value decay | testing performance | Hurt |
| Use NOR instead of RPDR, DSRR, or RP | Binary classification · RCV1.b and Splice | testing error | Helped |
| Use NOR instead of RPDR, DSRR, or RP | Binary classification · RCV1.b and Splice | auPRC | Helped |
| Use RS rather than RH or RG | Oblivious randomized reduction approaches · RCV1.b and Splice | testing performance | Hurt |
| Use RS rather than RH or RG | NOR · RCV1.b and Splice | testing performance | No clear effect |
| Use NOR instead of RP | Multi-class classification · RCV1.m and News20 | testing performance | Helped |
| Use NOR instead of RP | Multi-class classification · RCV1.m and News20 | running time | Helped |
| Use RH or RS rather than RG | Randomized reduction approaches · RCV1.m and News20 | running time | Helped |
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