Venue: ICLR 2023 TinyPapers

Reviews:

final_score: rating: Clear, Correct, and Reproducible (CCR): a submission which meets the reviewing criteria
review_content: summary_of_contributions: Investigations on sources of errors in auto-encoder based PDE solution reconstructions
strengths_and_weaknesses: This paper studies the sources of errors n auto-encoder based PDE solution reconstructions. Using techniques of variational calculus, the authors showed two sources of the error: error from auto-encoding procedure and error from the numerical errors of the input as a solution to the PDE.

It only has theoretical result at the moment for which I think is correct.

For readers not familiar with PDEs, it might be difficult for them to understand why this question is important to study.
suggested_changes: Add some paragraphs to discuss when the analysis of decoupled error will be relevant in applications.

Also would be better to write down the definition of $s$ function in the main text -- currently I need to look into the appendix to understand it.
review_title: null

Meta-review: metareview: Great paper with solid theoretical results. Authors are encouraged to take into account the feedback from Reviewer aBEk.
confidence: 4: The area chair is confident but not absolutely certain
Decision: Invite to present