Summary
This paper introduces a method of searching for offline RL objectives by using LLMs to generate and refine objectives. They demonstrate that several objectives discovered using this method are able to achieve higher evaluation scores than existing objectives (e.g. DPO) on a variety of benchmark tests. They provide a high level analysis of one discovered objective, hypothesizing that it may possess desirable properties that lead to these performance boosts.
Strengths
The paper is well written, organized, and easy to understand. While the use of LLMs to modify prompts and self-improve in other ways has been studied, using them to improve objective functions is a novel idea that the authors demonstrate holds potential. The authors demonstrate that the objectives discovered can be useful, showing improvements on a variety of generation and classification tasks.
Weaknesses
The main weakness of this paper in my opinion is that it isn't clear what results the paper is trying to present. While this is partially an issue of organization, it is also an issue with the amount of evidence given to the claims in the paper. If these was made clearer, I would be inclined to raise my score. I detail below:
1. The paper starts by introducing a new method for discovering new optimization objectives using LLMs, then transitions quite abruptly to describing the properties of DiscoPop. While both could be valuable contributions, I don't feel that either is given quite the attention required. It would help to clarify what the main focus of the paper is. If DiscoPOP is the focus, then claims about its properties should be better studied. If the discovery method is the focus, more emphasis should be placed on the method's performance and ability to produce novel and useful objectives.
2. The majority of insights about DiscoPOP are presented as hypotheses or intuitive insights (e.g. the non-convex portion, and how the model behaves at $\pm\inf$. This is not enough to support the claim made in the conclusion that they provide insights into what properties an optimal objective function should possess. While it \emph{may} be enough to say the provide intuition into why DiscoPOP is successful, further experimentation would be necessary to make optimality claims like this.
3. Some portions of the discovery method are vague as well. Though the authors do not observe the models simply regurgitating old objectives and cite a pattern of objective refinement for supervised learning, this is of course not guaranteed, and not well studied. Further experiments or details on the how often they observe refinement vs regurgitation would help to support the utility of the method.
Questions
1. How often are unit tests for the generated code failed?
Limitations
The limitations described cover most points, including the difficulties and uncertainties associated with using LLMs to improve upon objectives in a rigorous fashion.