* Fix ty invalid assignment diagnostics
* updating DIRECTORY.md
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Fix unused typing import
* Fix gradient accumulation type handling
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* Fix automatic differentiation gradient dtype handling
---------
Co-authored-by: kadubhumika <kadubhumika@users.noreply.github.com>
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
`machine_learning/automatic_differentiation.py` was the only module
importing `Self` from `typing_extensions`, behind a `# noqa: UP035`.
Since the repo requires Python >=3.14, `typing.Self` (added in 3.11)
is always available, so import it from the stdlib and drop the noqa.
### Describe your change:
* [x] Add an algorithm?
* [ ] Fix a bug or typo in an existing algorithm?
* [ ] Add or change doctests? -- Note: Please avoid changing both code and tests in a single pull request.
* [ ] Documentation change?
### Checklist:
* [x] I have read [CONTRIBUTING.md](https://github.com/TheAlgorithms/Python/blob/master/CONTRIBUTING.md).
* [x] This pull request is all my own work -- I have not plagiarized.
* [x] I know that pull requests will not be merged if they fail the automated tests.
* [x] This PR only changes one algorithm file. If not, please split into separate PRs.
* [x] All new Python files are placed inside an existing directory.
* [x] All filenames are in all lowercase characters with no spaces or dashes.
* [x] All functions and variable names follow Python naming conventions.
* [x] All function parameters and return values are annotated with Python type hints.
* [x] All functions have doctests that pass the automated testing.
* [x] All new algorithms include at least one URL that points to Wikipedia or another similar explanation.
* Added automatic differentiation algorithm
* file name changed
* Resolved pre commit errors
* updated dependency
* added noqa for ignoring check
* adding typing_extension for adding Self type in __new__
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* sorted requirement.text dependency
* [pre-commit.ci] auto fixes from pre-commit.com hooks
for more information, see https://pre-commit.ci
* resolved ruff
---------
Co-authored-by: pre-commit-ci[bot] <66853113+pre-commit-ci[bot]@users.noreply.github.com>
