Renamed output_type_depends_on_input_value to data_dependent_output_shapes

[Aarsh-Wankar]

Description

Replaced all instances of output_type_depends_on_input_value with data_dependent_output_shapes for discoverability / standardization. Follows the Aarray API standard for this: https://data-apis.org/array-api/draft/design_topics/data_dependent_output_shapes.html

Related Issue

• Closes Rename _output_type_depends_on_input_value #1188
• Related to #

Checklist

• Checked that the pre-commit linting/style checks pass
• Included tests that prove the fix is effective or that the new feature works
• Added necessary documentation (docstrings and/or example notebooks)
• If you are a pro: each commit corresponds to a relevant logical change

Type of change

• New feature / enhancement
• Bug fix
• Documentation
• Maintenance
• Other (please specify):

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📚 Documentation preview 📚: https://pytensor--1209.org.readthedocs.build/en/1209/

[ricardoV94]

Let's do singular: data_dependent_output_shape, and remove the prefix. We can follow up with an issue to document this in creating an Op, after #1086 is merged

[Aarsh-Wankar]

I have made the changes in my new commit; could you please review them?