haojin2 opened a new pull request #14831: [DO NOT MERGE] [DO NOT REVIEW] [WIP] 
[numpy] Numpy dot
URL: https://github.com/apache/incubator-mxnet/pull/14831
 
 
   ## Description ##
   Numpy-compatible version of dot with existing kernels and new kernels.
   
   ## Checklist ##
   ### Essentials ###
   Please feel free to remove inapplicable items for your PR.
   - [ ] The PR title starts with [MXNET-$JIRA_ID], where $JIRA_ID refers to 
the relevant [JIRA issue](https://issues.apache.org/jira/projects/MXNET/issues) 
created (except PRs with tiny changes)
   - [ ] Changes are complete (i.e. I finished coding on this PR)
   - [ ] All changes have test coverage:
   - Unit tests are added for small changes to verify correctness (e.g. adding 
a new operator)
   - Nightly tests are added for complicated/long-running ones (e.g. changing 
distributed kvstore)
   - Build tests will be added for build configuration changes (e.g. adding a 
new build option with NCCL)
   - [ ] Code is well-documented: 
   - For user-facing API changes, API doc string has been updated. 
   - For new C++ functions in header files, their functionalities and arguments 
are documented. 
   - For new examples, README.md is added to explain the what the example does, 
the source of the dataset, expected performance on test set and reference to 
the original paper if applicable
   - Check the API doc at 
http://mxnet-ci-doc.s3-accelerate.dualstack.amazonaws.com/PR-$PR_ID/$BUILD_ID/index.html
   - [ ] To the my best knowledge, examples are either not affected by this 
change, or have been fixed to be compatible with this change
   
   ### Changes ###
   - [x] numpy.dot case 1: vector dot
   - [x] numpy.dot case 2: 2-D matrix multiplication
   - [x] numpy.dot case 3: scalar multiplication
   - [x] numpy.dot case 4: tensor-vector multiplication
   - [ ] numpy.dot case 5: M-D-N-D tensor multiplication
   - [x] case 3.5: scalar-tensor multiplication forward
   - [ ] case 3.5: scalar-tensor multiplication backward
   
   ## Comments ##
   - TODO: Try to re-use gemm2's kernel for case 5
   - TODO: Gradient of the scalar in case 3.5
   

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