|
| 1 | +# Support Swish operation in Graph API |
| 2 | + |
| 3 | +## Background |
| 4 | + |
| 5 | +Swish is an activation operation introduced and experimented in [[#1]][1] and |
| 6 | +[[#2]][2]. It is also known as SiLU (Sigmoid Linear Unit) in some papers and |
| 7 | +frameworks. In this document, we choose to call the operation Swish following |
| 8 | +the naming convention of oneDNN. Swish operation is defined as: |
| 9 | + |
| 10 | +$$Swish(x) = x * sigmoid(factor * x)$$ |
| 11 | + |
| 12 | +where $factor = 1.f$ by default for most real models. |
| 13 | + |
| 14 | +### Adoption in models |
| 15 | + |
| 16 | +Swish operation is widely adopted to improve the quality of deep learning |
| 17 | +networks. For examples: |
| 18 | + |
| 19 | +- EfficientNet series [[#3]][3]: Swish is used as the activation in |
| 20 | + Convolutional Neural Networks. |
| 21 | +- Large language models like LLaMA [[#4]][4], Qwen [[#5]][5], etc.: Swish is |
| 22 | + used to construct SwiGLU [[#6]][6] by replacing the Sigmoid activation in |
| 23 | + typical GLU (Gated Linear Unit). SwiGLU is further used to build Gated MLP in |
| 24 | + the models. |
| 25 | + |
| 26 | +### Support in frameworks and libraries |
| 27 | + |
| 28 | +- PyTorch supports Swish via the SiLU operation [[#7]][7]. The operation does |
| 29 | + not support specifying `factor` in the formula. |
| 30 | +- OpenVINO supports Swish via the Swish operation [[#8]][8]. Unlike PyTorch's |
| 31 | + SiLU operation, OpenVINO's Swish also accepts a scalar input `Beta` as the |
| 32 | + multiplication `factor` for Sigmoid. |
| 33 | +- For ONNX, a PR is working in progress to add Swish operation [[#9]][9]. |
| 34 | +- oneDNN supports Swish as an algorithm of eltwise primitive [[#10]][10] which |
| 35 | + accepts a scalar `alpha` in primitive descriptor creation as the |
| 36 | + multiplication `factor` for Sigmoid. |
| 37 | +- cuDNN backend API supports Swish as a mode (`CUDNN_POINTWISE_SWISH_FWD`) of |
| 38 | + its Pointwise operation [[#11]][11] and accepts attribute |
| 39 | + `CUDNN_ATTR_POINTWISE_SWISH_BETA` as the multiplication `factor`. |
| 40 | +- Please note that, even PyTorch has SiLU operation, there are still many model |
| 41 | + scripts choosing to implement swish with a composition of smaller operations |
| 42 | + [[#12]][12]. |
| 43 | + |
| 44 | +## Proposals |
| 45 | + |
| 46 | +### Option 1: Support Swish via Sigmoid and Multiply operation |
| 47 | + |
| 48 | +As indicated by the formula of Swish, the proposal is to support it via the |
| 49 | +combination of Sigmoid and Multiply operations which are already supported in |
| 50 | +oneDNN Graph API. |
| 51 | + |
| 52 | +- [Sigmoid operation](https://oneapi-src.github.io/oneDNN/dev_guide_op_sigmoid.html) |
| 53 | +- [Multiply operation](https://oneapi-src.github.io/oneDNN/dev_guide_op_multiply.html) |
| 54 | + |
| 55 | +With that, a Swish operation with default `factor` can ben programed as below: |
| 56 | + |
| 57 | +```cpp |
| 58 | +using namespace dnnl::graph; |
| 59 | + |
| 60 | +graph swish = graph(engine::kind::cpu); |
| 61 | + |
| 62 | +logical_tensor src = logical_tensor(ID_SRC, dt, shape); |
| 63 | +logical_tensor res = logical_tensor(ID_RES, dt, shape); |
| 64 | +logical_tensor dst = logical_tensor(ID_DST, dt, shape); |
| 65 | + |
| 66 | +op sig = op(ID_SIG, op::kind::Sigmoid, "sig"); |
| 67 | +sig.add_input(src); |
| 68 | +sig.add_output(res); |
| 69 | + |
| 70 | +op mul = op(ID_MUL, op::kind::Multiply, "mul"); |
| 71 | +mul.add_inputs({src, res}); |
| 72 | +mul.add_output(dst); |
| 73 | + |
| 74 | +swish.add_op(sig); |
| 75 | +swish.add_op(mul); |
| 76 | +swish.finalize(); |
| 77 | +``` |
| 78 | +
|
| 79 | +Pros: |
| 80 | +
|
| 81 | +- There is no need to define and maintain a new operation in oneDNN Graph API. |
| 82 | +- Composition of smaller operations makes it possible and scalable to extend whe |
| 83 | + the activation has more variants or flavors in the future. |
| 84 | +- The approach of composition of Multiply and Sigmoid is also adopted in models |
| 85 | + as mentioned above. |
| 86 | +
|
| 87 | +Cons: |
| 88 | +
|
| 89 | +- Compared to a dedicate Swish operation, this proposal requires more users code |
| 90 | + (at least one more logical tensor and one more operation). |
| 91 | +- It also requires complex logic in the backend to detect `Sigmoid + Multiply` |
| 92 | + and map to the existing Swish kernels in oneDNN. It requires the input of |
| 93 | + Sigmoid and the second input of Multiply to be the same tensor. |
| 94 | +- Considering that SiLU is a built-in operation in PyTorch, mapping it to two |
| 95 | + operations in oneDNN Graph is troublesome for some integrations. |
| 96 | +- Currently, oneDNN Graph Sigmoid operation does not support a multiplication |
| 97 | + `factor`. We may need to extend either the proposed Swish graph or the Sigmoid |
| 98 | + operation to support cases where `factor != 1.f`. |
| 99 | +
|
| 100 | +### Option 2: Support Swish as a dedicate operation |
| 101 | +
|
| 102 | +As aforementioned, main stream frameworks and libraries all support Swish as a |
| 103 | +dedicate operation. We think that it's reasonable to add a new Swish operation |
| 104 | +in oneDNN Graph API. The proposed operation schema is as follow: |
| 105 | +
|
| 106 | +- Operation Kind: `Swish` (C++), `dnnl_graph_op_swish` (C). |
| 107 | +- Input/output: Single input, single output. |
| 108 | +- Attribute: `alpha` (optional) for the multiplication factor in the formula. |
| 109 | + `alpha = 1.f` if not provided. |
| 110 | +- Data types: f32, bf16, f16. |
| 111 | +
|
| 112 | +With the new operation being defined, a Swish operation can be programed as |
| 113 | +below: |
| 114 | +
|
| 115 | +```cpp |
| 116 | +using namespace dnnl::graph; |
| 117 | +
|
| 118 | +graph swish = graph(engine::kind::cpu); |
| 119 | +
|
| 120 | +logical_tensor src = logical_tensor(ID_SRC, dt, shape); |
| 121 | +logical_tensor dst = logical_tensor(ID_DST, dt, shape); |
| 122 | +
|
| 123 | +op swi = op(ID_SWI, op::kind::Swish, "swi"); |
| 124 | +swi.set_attr<float>(op::attr::alpha, 0.5f); // optional |
| 125 | +swi.add_input(src); |
| 126 | +swi.add_output(dst); |
| 127 | +
|
| 128 | +swish.add_op(swi); |
| 129 | +swish.finalize(); |
| 130 | +``` |
| 131 | + |
| 132 | +Pros: |
| 133 | + |
| 134 | +- It simplifies the user code, especially when Swish is used to construct a |
| 135 | + complex fusion pattern. |
| 136 | +- The operation can be directly dispatched to the existing Swish kernels in |
| 137 | + oneDNN. |
| 138 | +- It can be integrated easily into PyTorch to optimize the SiLU operation. It |
| 139 | + also helps when converting cuDNN code into oneDNN code. |
| 140 | +- Attribute `beta` is considered to support the cases where `factor != 1.f`. |
| 141 | +- The granularity of operations is consistent within oneDNN and with other |
| 142 | + frameworks and libraries. |
| 143 | + |
| 144 | +Cons: |
| 145 | + |
| 146 | +- It adds an new operation into oneDNN Graph API which may need additional |
| 147 | + maintenance effort. |
| 148 | +- To some extend, supporting all Sigmoid, Multiply, and Swish operations is kind |
| 149 | + of duplication. |
| 150 | +- We will need to break the API or add a new operation if the operation formula |
| 151 | + changes (eg. the `factor` is extended from a scalar to a vector or full |
| 152 | + tensor) in the future. But with option 1, we just need to define a new pattern |
| 153 | + without bloating the API. |
| 154 | + |
| 155 | +## Conclusions |
| 156 | + |
| 157 | +The decision is to implement the option 1. |
| 158 | + |
| 159 | +The library will support Sigmoid + Multiply fusions for Swish without |
| 160 | +considering `factor != 1.f` which is the most common case. In this case, Sigmoid |
| 161 | +\+ Multiply will be fused into swish algorithm of eltwise primitive or post-op |
| 162 | +with `alpha = 1.f`. |
| 163 | + |
| 164 | +For other cases where `factor != 1.f` is specified, once they are requested, we |
| 165 | +can extend the library in the following options: |
| 166 | + |
| 167 | +- Extend Sigmoid operation with a multiplication factor attribute, so the swish |
| 168 | + can still be represented as Sigmoid + Multiply. |
| 169 | +- Represent the multiplication with another Multiply operation in case the |
| 170 | + factor is not known at graph build stage or is not a scalar. In case, Swish |
| 171 | + will be fused and implemented as Multiply + Sigmoid + Multiply. |
| 172 | + |
| 173 | +## References |
| 174 | + |
| 175 | +1. Swish: a Self-Gated Activation Function, https://arxiv.org/abs/1710.05941v1 |
| 176 | +2. Gaussian Error Linear Units (GELUs), https://arxiv.org/abs/1606.08415 |
| 177 | +3. EfficientNet: Rethinking Model Scaling for Convolutional Neural Networks, https://arxiv.org/abs/1905.11946 |
| 178 | +4. LLaMA: Open and Efficient Foundation Language Models, https://arxiv.org/abs/2302.13971 |
| 179 | +5. Qwen Technical Report, https://arxiv.org/abs/2309.16609 |
| 180 | +6. GLU Variants Improve Transformer, https://arxiv.org/abs/2002.05202 |
| 181 | +7. SiLU operation in PyTorch, https://pytorch.org/docs/stable/generated/torch.nn.SiLU.html |
| 182 | +8. Swish operation in OpenVINO, https://docs.openvino.ai/2024/documentation/openvino-ir-format/operation-sets/operation-specs/activation/swish-4.html |
| 183 | +9. PR for Swish operation in ONNX, https://github.com/onnx/onnx/pull/5964 |
| 184 | +10. Swish in oneDNN, https://oneapi-src.github.io/oneDNN/dev_guide_eltwise.html |
| 185 | +11. Swish in cuDNN, https://docs.nvidia.com/deeplearning/cudnn/latest/api/cudnn-graph-library.html#cudnnpointwisemode-t |
| 186 | +12. Swish implementation in Huggingface repository, https://github.com/search?q=org%3Ahuggingface%20swish&type=code |
| 187 | + |
| 188 | +[1]: https://arxiv.org/abs/1710.05941v1 |
| 189 | +[2]: https://arxiv.org/abs/1606.08415 |
| 190 | +[3]: https://arxiv.org/abs/1905.11946 |
| 191 | +[4]: https://arxiv.org/abs/2302.13971 |
| 192 | +[5]: https://arxiv.org/abs/2309.16609 |
| 193 | +[6]: https://arxiv.org/abs/2002.05202 |
| 194 | +[7]: https://pytorch.org/docs/stable/generated/torch.nn.SiLU.html |
| 195 | +[8]: https://docs.openvino.ai/2024/documentation/openvino-ir-format/operation-sets/operation-specs/activation/swish-4.html |
| 196 | +[9]: https://github.com/onnx/onnx/pull/5964 |
| 197 | +[10]: https://oneapi-src.github.io/oneDNN/dev_guide_eltwise.html |
| 198 | +[11]: https://docs.nvidia.com/deeplearning/cudnn/latest/api/cudnn-graph-library.html#cudnnpointwisemode-t |
| 199 | +[12]: https://github.com/search?q=org%3Ahuggingface%20swish&type=code |
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