[SYSTEMDS-3259] Implementation of the shampoo optimizer (initial prototype) #2401
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Add Shampoo optimizer support for neural network training in SystemDS.
Includes full-matrix and diagonal preconditioning, momentum updates, and a heuristic variant with delayed preconditioner updates / infrequent root recomputation. Extend the existing NN training scripts with tests to validate correctness and convergence.
Tests: src/test/scripts/applications/nn/component/shampoo_test.dml
src/test/scripts/applications/nn/component/shampoo_test2.dml
src/test/scripts/applications/nn/component/shampoo_test.py
Experiments in staging/shampoo_optimizer