Research map / Learning theory and algorithms / Combinatorial and search optimization
Approximately Optimal Core Shapes for Tensor Decompositions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use HOSVD-IP to choose the core shape instead of RRE-greedy | Size-constrained Tucker decomposition on Cardiac MRI · Cardiac MRI | relative reconstruction error | Helped |
| Use HOSVD-IP to choose the core shape instead of RRE-greedy | Size-constrained Tucker decomposition on Cardiac MRI · Cardiac MRI | running time: 1000x faster | Helped |
| Use HOSVD-greedy to choose the core shape instead of RRE-greedy | Size-constrained Tucker decomposition · Hyperspectral | Tucker packing objective | Helped |
| Use HOSVD-based greedy core-shape selection rather than RRE-greedy | Size-constrained Tucker decomposition · Hyperspectral | core shape | No clear effect |
| Use HOSVD-greedy or HOSVD-bang-for-buck instead of RRE-greedy | Size-constrained Tucker decomposition · VicRoads | relative reconstruction error | No clear effect |
| Use HOSVD-greedy or HOSVD-bang-for-buck instead of RRE-greedy | Size-constrained Tucker decomposition · VicRoads | running time: 100x slower | Helped |
| Increase the first core-shape dimension during greedy HOSVD packing | HOSVD greedy core-shape solvers · COIL-100 | Tucker packing objective | Hurt |
| Increase the first core-shape dimension during greedy HOSVD packing | HOSVD greedy core-shape solvers · COIL-100 | relative reconstruction error | Mixed |
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