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Client Example: 4D Softmax
Theory
This client example demonstrates Softmax computation over 4D tensors. Softmax is a key operation in deep learning, especially in attention mechanisms and classification, converting logits into normalized probabilities.
Mathematical Formulation:
Given input X and axis a:
\text{softmax}(X)_i = \frac{\exp(X_i)}{\sum_j \exp(X_j)}
Algorithmic Background:
- Softmax is implemented using a numerically stable algorithm:
- Subtract the maximum value for numerical stability.
- Exponentiate and sum.
- Normalize by the sum.
- Efficient parallel Softmax requires careful reduction and memory access patterns.
- This example demonstrates Softmax over a 4D tensor, as used in attention and vision models.
How to Run
Prerequisites
Please follow the instructions in the main Build Guide section as a prerequisite to building and running this example.
Build and run
cd composable_kernel/client_example/06_softmax
mkdir build && cd build
cmake -DCMAKE_CXX_COMPILER=/opt/rocm/bin/hipcc ..
make -j
# Example run
./softmax4d
Source Code Structure
Directory Layout
client_example/06_softmax/
├── softmax4d.cpp # Main client example: sets up, runs, and verifies 4D softmax
├── CMakeLists.txt # Build configuration for the example
Key Functions
- main() (in
softmax4d.cpp):
Sets up input tensors, configures Softmax parameters, launches the Softmax kernel, and verifies the result. - Softmax kernel invocation:
Uses the Composable Kernel device API to launch the Softmax operation.
This client example provides a demonstration of efficient, numerically stable Softmax for 4D tensors in deep learning models.