add gradient kernel of det op and slogdet op #36013
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zhhsplendid
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Sep 24, 2021
| " input tensor's, but here differ %d", | ||
| input_dims_size - grad->dims().size())); | ||
| } else { | ||
| // checked in forward, pass |
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DO NOT change this comment in this PR, since we are chasing cherry-pick, change it in the future.
Empty block is not encouraged. You can put a PADDLE_ENFORCE here.
zhangting2020
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lanxianghit
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Sep 26, 2021
* add gradient kernel of det op and slogdet op * fix CI APPROVAL problem
lanxianghit
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AnnaTrainingG
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Sep 29, 2021
* add gradient kernel of det op and slogdet op * fix CI APPROVAL problem
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PR types
New features
PR changes
OPs
Describe
增加
paddle.linalg.det的反向代码实现。可逆矩阵参考论文：https://people.maths.ox.ac.uk/gilesm/files/NA-08-01.pdf
不可逆矩阵实现：对于
det反向值全0，对于slogdet反向值nan可逆矩阵主要实现
det_grad：det_grad = (grad * det).unsqueeze(-1).unsqueeze(-2) * x.inverse().transpose(-2, -1)slog_grad：slogdet_grad = grad.unsqueeze(-1).unsqueeze(-2) * x.inverse().conj().transpose(-2, -1)这些函数在paddle中均有对应的C++接口，因此直接调用对应的C++接口实现
注：
由于sloget的反向结果数值特别大（log的缘故，输入越小，反向越大），比如对于输入
x = [[0.01, 0.02], [0.03, 0.04]]，反向x_grad = [[-200. 150.], [ 100. -50.]]，因此在单测中为slog反向加了max_relative_error = 0.1的限制。