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* [doc]update gradient accumulation

* [doc]update gradient accumulation

* [doc]update gradient accumulation

* [doc]update gradient accumulation

* [doc]update gradient accumulation, fix

* [doc]update gradient accumulation, fix

* [doc]update gradient accumulation, fix

* [doc]update gradient accumulation, add sidebars

* [doc]update gradient accumulation, fix

* [doc]update gradient accumulation, fix

* [doc]update gradient accumulation, fix

* [doc]update gradient accumulation, resolve comments

* [doc]update gradient accumulation, resolve comments

* fix

Co-authored-by: github-actions <github-actions@github.com>

* [doc] update gradient clipping document

* [doc] update gradient clipping document

* [doc] update gradient clipping document

* [doc] update gradient clipping document

* [doc] update gradient clipping document

* [doc] update gradient clipping document

* [doc] update gradient clipping doc, fix sidebars.json

* [doc] update gradient clipping doc, fix doc test

* Update colotensor_concept.md

* Update configure_parallelization.md

* Update define_your_config.md

* Update engine_trainer.md

* Update initialize_features.md

* Update model_checkpoint.md

* Update colotensor_concept.md

* Update configure_parallelization.md

* Update define_your_config.md

* Update engine_trainer.md

* Update initialize_features.md

* Update model_checkpoint.md

* [doc] add docstr for booster methods

* [doc] fix autodoc

* [doc] add checkpoint related docstr for booster

* [doc] add en checkpoint doc

* [doc] add zh checkpoint doc

* [doc] add booster checkpoint doc in sidebar

* [doc] add cuation about ckpt for plugins

* [doc] add doctest placeholder

* [doc] add doctest placeholder

* [doc] add doctest placeholder

* [doc] add en booster plugins doc

* [doc] add booster plugins doc in sidebar

* [doc] add zh booster plugins doc

* [doc] fix zh booster plugin translation

* [doc] reoganize tutorials order of basic section

* [devops] force sync to test ci

* [doc] add en cluster utils doc

* [doc] add zh cluster utils doc

* [doc] add cluster utils doc in sidebar

* [booster] update booster tutorials#3717

* [booster] update booster tutorials#3717, fix

* [booster] update booster tutorials#3717, update setup doc

* [booster] update booster tutorials#3717, update setup doc

* [booster] update booster tutorials#3717, update setup doc

* [booster] update booster tutorials#3717, update setup doc

* [booster] update booster tutorials#3717, update setup doc

* [booster] update booster tutorials#3717, update setup doc

* [booster] update booster tutorials#3717, rename colossalai booster.md

* [booster] update booster tutorials#3717, rename colossalai booster.md

* [booster] update booster tutorials#3717, rename colossalai booster.md

* [booster] update booster tutorials#3717, fix

* [booster] update booster tutorials#3717, fix

* [booster] update tutorials#3717, update booster api doc

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, modify file

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3717, fix reference link

* [booster] update tutorials#3713

* [booster] update tutorials#3713, modify file

* [doc] add test info

* [devops] update doc check ci

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] add debug info

* [devops] remove debug info and update invalid doc

* [devops] add essential comments

* Fixed several spelling errors under colossalai

* Fix the spelling error in colossalai and docs directory

* Cautious Changed the spelling error under the example folder

* Update runtime_preparation_pass.py

revert autograft to autograd

* Update search_chunk.py

utile to until

* Update check_installation.py

change misteach to mismatch in line 91

* Update 1D_tensor_parallel.md

revert to perceptron

* Update 2D_tensor_parallel.md

revert to perceptron in line 73

* Update 2p5D_tensor_parallel.md

revert to perceptron in line 71

* Update 3D_tensor_parallel.md

revert to perceptron in line 80

* Update README.md

revert to resnet in line 42

* Update reorder_graph.py

revert to indice in line 7

* Update p2p.py

revert to megatron in line 94

* Update initialize.py

revert to torchrun in line 198

* Update routers.py

change to detailed in line 63

* Update routers.py

change to detailed in line 146

* Update README.md

revert  random number in line 402

Display format optimization , same as fix#3562
Simultaneous modification of en version

Display format optimization, fix bug#3562
Specific changes
1. "This is called a column-parallel fashion" Translate to Chinese
2. use the ```math code block syntax to display a math expression as a block, No modification of formula content

Please check that the math formula is displayed correctly
If OK, I will change the format of the English version of the formula in parallel

Fixing document link errors using absolute paths

* [doc] add requirement and highlight application

* [doc] link example and application

* [test] added spawn decorator

* polish code

* polish code

* polish code

* polish code

* polish code

* polish code

* [zero] refactor low-level zero folder structure

* [zero] fix legacy zero import path

* [zero] fix legacy zero import path

* [zero] remove useless import

* [zero] refactor gemini folder structure

* [zero] refactor gemini folder structure

* [zero] refactor legacy zero import path

* [zero] refactor gemini folder structure

* [zero] refactor gemini folder structure

* [zero] refactor gemini folder structure

* [zero] refactor legacy zero import path

* [zero] fix test import path

* [zero] fix test

* [zero] fix circular import

* [zero] update import

* [doc] add Intel cooperation news

* [doc] add Intel cooperation news

* [doc] add ColossalChat news

* [doc] add ColossalChat news

* [doc] add ColossalChat

* refactor: README-zh-Hans

* refactor: REFERENCE

* docs: update paths in README

* [doc] specified operating system requirement

* polish code

* [doc] update nvme offload doc

* [doc] add doc testing cmd and requirements

* [doc] add api reference

* [doc] add dependencies

* [workflow] supported conda package installation in doc test

* polish code

* polish code

* polish code

* polish code

* polish code

* polish code

* [doc] added reference to related works

* polish code

Co-authored-by: github-actions <github-actions@github.com>

* [workflow] added auto doc test on PR

* [workflow] added doc test workflow

* polish code

* polish code

* polish code

* polish code

* polish code

* polish code

* polish code

* [hotfix] fix autoparallel zh docs

* polish

* polish

* [hotfix] add copyright for solver and device mesh

* add readme

* add alpa license

* polish