[Feature] auto-cast optimizers to distributed version (#5746)

* auto-cast optimizers to distributed

* fix galore casting

* logger

---------

Co-authored-by: Edenzzzz <wtan45@wisc.edu>

docs/source/en/features/distributed_optimizers.md

@@ -9,7 +9,8 @@ Author: [Wenxuan Tan](https://github.com/Edenzzzz), [Junwen Duan](https://github
 - [Large Batch Optimization for Deep Learning: Training BERT in 76 minutes] (https://arxiv.org/pdf/1904.00962)
 
 ## Introduction
-Apart from the widely adopted Adam and SGD, many modern optimizers require layer-wise statistics to efficiently update parameters, and are thus not directly applicable to parallel settings where model layers are sharded across multiple devices. We provide optimized distributed implementations with minimal extra communications, and seamless integrations with Tensor Parallel, DDP and ZeRO using plugins.
+Apart from the widely adopted Adam and SGD, many modern optimizers require layer-wise statistics to update parameters, and thus aren't directly applicable to settings where model layers are sharded across multiple devices. We provide optimized distributed implementations with minimal extra communications, and seamless integrations with Tensor Parallel, DDP and ZeRO plugins, which automatically uses distributed optimizers with 0 code change.
+
 ## Optimizers
 Adafactor is a first-order Adam variant using Non-negative Matrix Factorization(NMF) to reduce memory footprint. CAME improves by introducting a confidence matrix to correct NMF. GaLore further reduces memory by projecting gradients into a low-rank space and 8-bit block-wise quantization. Lamb allows huge batch sizes without lossing accuracy via layer-wise adaptive update bounded by the inverse of its Lipschiz constant.
 
@@ -21,7 +22,7 @@ Adafactor is a first-order Adam variant using Non-negative Matrix Factorization(
 {{ autodoc:colossalai.nn.optimizer.distributed_came.DistributedCAME }}
 
 ## Hands-On Practice
-We now demonstrate how to use Distributed Adafactor with booster API combining Tensor Parallel and ZeRO 2 with 4 GPUs.
+We now demonstrate how to use Distributed Adafactor with booster API combining Tensor Parallel and ZeRO 2 with 4 GPUs. **Note that even if you're not aware of distributed optimizers, the plugins automatically casts yours to the distributed version for convenience.**
 ### step 1. Import libraries
 
 ```python

docs/source/zh-Hans/features/distributed_optimizers.md

@@ -9,7 +9,7 @@ Author: Wenxuan Tan, Junwen Duan, Renjie Mao
 - [Large Batch Optimization for Deep Learning: Training BERT in 76 minutes] (https://arxiv.org/pdf/1904.00962)
 
 ## 介绍
-除了广泛采用的Adam和SGD外，许多现代优化器需要逐层统计信息以有效更新参数，因此无法直接应用于模型层在多个设备上分片的并行设置。我们以提供了优化的分布式实现，，并且通过插件与Tensor Parallel、DDP和ZeRO无缝集成。
+除了广泛采用的Adam和SGD外，许多现代优化器需要逐层统计信息以有效更新参数，因此无法直接应用于模型层在多个设备上分片的并行设置。我们以提供了优化的分布式实现，，并且通过plugin与Tensor Parallel、DDP和ZeRO无缝集成。
 ## 优化器
 Adafactor 是一种首次采用非负矩阵分解（NMF）的 Adam 变体，用于减少内存占用。CAME 通过引入一个置信度矩阵来改进 NMF 的效果。GaLore 通过将梯度投影到低秩空间，并使用 8 位块状量化进一步减少内存占用。Lamb 允许使用巨大的批量大小而不失准确性，通过按其 Lipschitz 常数的倒数界定的逐层自适应更新实现
 
@@ -21,7 +21,7 @@ Adafactor 是一种首次采用非负矩阵分解（NMF）的 Adam 变体，用
 {{ autodoc:colossalai.nn.optimizer.distributed_came.DistributedCAME }}
 
 ## 使用
-We now demonstrate how to use Distributed Adafactor with booster API combining Tensor Parallel and ZeRO 2 with 4 GPUs.
+现在我们展示如何使用分布式 Adafactor 与 booster API 结合 Tensor Parallel 和 ZeRO 2。即使您不使用distributed optimizer，plugin 也会自动将optimizer转换为分布式版本以方便使用。
 ### step 1. 导包
 
 ```python
@@ -34,15 +34,13 @@ import torch
 ```
 
 ### step 2. 初始化分布式
-We need to initialize distributed environment. For demo purpose, we use `colossal run --nproc_per_node 4`. You can refer to [Launch Colossal-AI](../basics/launch_colossalai.md)
+我们需要先初始化分布式环境. 为了展示, 我们使用 `colossal run --nproc_per_node 4`. 更多初始化方式请参考 [Launch Colossal-AI](../basics/launch_colossalai.md)
 
 ```python
 colossalai.launch_from_torch()
 ```
 
 ### step 3. 初始化模型和优化器
-Build our model. We created an MLP using two Linear Layer.
-
 ```python
 configuration = LlamaConfig()
 model = LlamaModel(configuration).cuda()