Research map / Learning theory and algorithms / Matrix and tensor methods
Supervised Learning with Tensor Networks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| increase MPS maximum bond dimension from 10 to 20 to 120 (ablation) | MPS sweeping classifier · MNIST (14x14 downscaled) | test error: about 5% -> 2% -> 0.97% | Helped |
| train with more sweeps (converges in about five or fewer) | MPS sweeping classifier · MNIST (14x14 downscaled) | test error: changes of hundredths of a percent after convergence | No clear effect |
| replace full-batch gradient with stochastic gradient descent when mixed with MPS sweeping | MPS sweeping classifier · MNIST (14x14 downscaled) | accuracy | Hurt |
| no explicit parameter regularization (no weight decay or L1) | MPS sweeping classifier · MNIST (14x14 downscaled) | generalization | No clear effect |
Closest papers by meaning
- Lower and Upper Bounds on the Pseudo-Dimension of Tensor Network Models (NeurIPS 2021 · similarity 0.89)
- Convolutions and More as Einsum: A Tensor Network Perspective with Advances for Second-Order Methods (NeurIPS 2024 · similarity 0.87)
- Factor Augmented Tensor-on-Tensor Neural Networks (AAAI 2025 · similarity 0.87)
- Deep Tree Tensor Networks (NeurIPS 2025 · similarity 0.87)
- Geometry-aware training of factorized layers in tensor Tucker format (NeurIPS 2024 · similarity 0.86)
- Over-parameterized Student Model via Tensor Decomposition Boosted Knowledge Distillation (NeurIPS 2024 · similarity 0.86)
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