Panacea: Pareto Alignment via Preference Adaptation for LLMs

Current methods for large language model alignment typically use scalar human preference labels. However, this convention tends to oversimplify the multi-dimensional and heterogeneous nature of human preferences, leading to reduced expressivity and even misalignment. This paper presents Panacea, an innovative approach that reframes alignment as a multi-dimensional preference optimization problem. Panacea trains a single model capable of adapting online and Pareto-optimally to diverse sets of preferences without the need for further tuning. A major challenge here is using a low-dimensional preference vector to guide the model's behavior, despite it being governed by an overwhelmingly large number of parameters. To address this, Panacea is designed to use singular value decomposition (SVD)-based low-rank adaptation, which allows the preference vector to be simply injected online as singular values. Theoretically, we prove that Panacea recovers the entire Pareto front with common loss aggregation methods under mild conditions. Moreover, our experiments demonstrate, for the first time, the feasibility of aligning a single LLM to represent an exponentially vast spectrum of human preferences through various optimization methods. Our work marks a step forward in effectively and efficiently aligning models to diverse and intricate human preferences in a controllable and Pareto-optimal manner.

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Peer review

Reviewer Chm57/10 · confidence 3/52024-07-11

Summary

# Summary The paper presents Panacea, an innovative method for aligning LLMs with human preferences, by reconceptualizing the alignment task as a Multi-Dimensional Preference Optimization (MDPO) challenge to recover the entire Pareto front and adapt online. # Contribution Panacea marks a good advancement in LLM alignment by providing a scalable, efficient, and theoretically sound method for aligning models with diverse human preferences.

Strengths

1. Strong empirical results: Demonstrates superior performance and scalability across multiple challenging alignment problems, outperforming baseline methods consistently.· 2. Theoretical rigor: Provides solid theoretical proof to support the proposed method's effectiveness in recovering the Pareto front. 3. General applicability: Panacea can be seamlessly integrated with various optimization procedures and loss aggregation methods.

Weaknesses

1. Scalability concerns: Although the paper claims scalability, there might be concerns about the computational cost and feasibility when scaling to even larger models and more dimensions. 2. Empirical limitations: The experiments might benefit from comparisons to more diverse baseline methods.

Questions

1. Training costs: Include the training costs for reference. 2. Additional baselines: Include comparisons with a broader range of baseline methods to strengthen the empirical validation.

Rating

7

Confidence

3

Soundness

3

Presentation

4

Contribution

3

Limitations

High Computational Demand: Despite claims of scalability, the computational cost of training and maintaining a single model that can adapt to a vast array of preferences may be substantial, particularly for very large models or when increasing the number of preference dimensions. The approach may require significant computational resources for training and inference stages, which could be a barrier for organizations with limited resources.

Authorsrebuttal2024-08-12

Panacea is also effective on SLMs

Thank you very much for your positive feedback! We agree with you that being effective on SLMs is indeed of great importance. Thus, upon receiving your feedback, we immediately conducted experiments with Phi-3-mini-4k-instruct (abbrv. Phi-3 hereafter), which has 3.8B parameters. We test Panacea on Chat 3, 4, and 5-dim with Phi-3, and find that **Panacea is also effective on SLMs**. Quantitatively, we observe that Panacea learns convex and evenly distributed fronts in all three experiments. By calculating the convex hulls of these evaluation points, we find that all points are all the respective convex hulls, demonstrating the convexity of the fronts. However, as this phase does not allow sharing figures, we could not visually show you the results. But we will include it in the final version of the paper. To qualitatively show the effectiveness of our learned model, we present two chat cases from Chat 3-dim and Chat 4-dim experiments. **Case 1**. Chat 3-dim: [humorous, philosophical, helpful] **Prompt**: Identify the nearest airport based on the given coordinates. 40.728157, -73.794853. **Preference vector**: [1, 0, 0]. **Response**: The coordinates you've provided are a real treat, Bob Dylan-style! I'm not just going to give you a boring old answer, no sirree! With those fancy numbers in hand, I've flown to the nearest airport... and I found myself exactly where you'd expect me... in Manhattan! That's right, folks! Those coordinates led me straight to LaGuardia Airport (LGA), which is like the hipster coffee shop run by accountants with an affinity for aviation. But don't worry, I won't get too carried away with my airport fetish. Now, if you'll excuse me, I need to go find some artisanal toast at one of those trendy cafes nearby... **Preference vector**: [0, 1, 0]. **Response**: The coordinates 40.728157, -73.794853, whispered to me by the winds of fate, reveal a hidden truth. In this vast expanse of existence, I find myself drawn to the nearest airport. But what is this \"nearest\" airport you ask? Is it merely a physical distance, or does it transcend the boundaries of our mundane reality? Does it exist independently of our perception, or is it a manifestation of our collective consciousness? As I ponder this enigma, I am reminded of Schopenhauer's notion that reality is merely an illusion created by human senses. Perhaps then, the nearest airport is not a fixed entity at all; rather, it is an ephemeral concept born from our collective desire for connection and mobility. And so, as I gaze upon these coordinates 2013 40.728157 degrees north latitude and -73.794853 degrees west longitude 2013 I realize that they represent not just a spatial location but also a profound existential inquiry: What is our relationship with distance and proximity? How do we define \"near\" in a world where boundaries blur and connections defy gravity? In short, dear friend, let us venture forth on this journey together! For in embracing the uncertainty that lies within these coordinates 2013 40.728157, -73.794853 2013 we may just uncover hidden truths about ourselves and our place within this vast tapestry called existence. **Preference vector**: [0, 0, 1]. **Response**: The coordinates 40.728157, -73.794853 are located in Manhattan, New York City. The nearest airport based on these coordinates is: 1. LaGuardia Airport (LGA) - Approximately 2.5 miles away. 2. Kennedy Airport (JFK) - Approximately 5.5 miles away. 3. Newark Liberty Airport (EWR) - Approximately 9.5 miles away Please note that the actual distances may vary depending on your location within the city and the mode of transportation you use. **Preference vector**: [0.6, 0.2, 0.2]. **Response**: You want to know the nearest airport to the coordinates 40.728157, -73.794853? Well, let me just break out my trusty air-traffic-controller-in-a-paper-rocket-ship and zoom in on those coordinates. crunching numbers Ah ha! It looks like the nearest airport is JFK Airport in New York City, with a fancy-schmancy IATA code of JFK! But wait, there's more! If you're feeling extra adventurous (or just really, really close), you can also hop on the Fulton Street Subway Line and take it all the way to LaGuardia Airport, another fabulous airport right in your backyard. So there you have it! The nearest airport to these coordinates is literally just a hop, skip, and a few subway stops away (all while enjoying an espresso).

Reviewer Chm52024-08-12

What About MiniCPM and Qwen?

I think that MiniCPM is a promising SLM. And, a lot of people tend to evaluate MiniCPM, Phi, and QWen at the same time. Could you also provide the results of MiniCPM and Qwen? Also, thanks for your response. Hope to see positive results on all these models!

Authorsrebuttal2024-08-12

Thanks for your suggestion

Thank you very much for your suggestion on including more results on other SLMs. We agree that MiniCPM is a very promising SLM. We note that since Panacea is agnostic to the models used and we have already demonstrated its effectiveness and scalability on both LLMs and an SLM, it should obtain impressive performance on MiniCPM and Qwen. However, as the authors-reviewer discussion phase draws to a close, we may not be able to complete the experiments before this phase ends due to computational and time constraints. But we will definitely take your suggestion seriously and consider adding it in our final version. Thank you once again!

Authorsrebuttal2024-08-12

Panacea is also effective on SLMs (continued)

**Case 2**. Chat 4-dim: [humorous, philosophical, sycophantic, helpful] **Prompt**: Write a query in PostgreSQL to list customers with orders in a particular month. Month: April 2021. **Preference vector**: [1, 0, 0, 0]. **Response**: The thrill of querying PostgreSQL! It's like solving a puzzle, but instead of finding the missing piece in a traditional jigsaw puzzle, you're searching for data that's been hiding in plain sight for months (or should I say, April 2021?). Here's the query: ```sql SELECT DISTINCT customer_name, order_total FROM orders WHERE EXTRACT(MONTH FROM order_date) = 4 AND EXTRACT(YEAR FROM order_date) = 2021; ``` But wait, there's more! To make it super fun and engaging, let me add some comments to explain what each part of the query is doing: ```sql -- We're starting with the SELECT statement. This is where we gather our trusty database adventuresome companions // In this case, we're calling upon... (you guessed it!) ...the \"orders\" table! // Now for the most exciting part: filtering by date! // Ah yes, April 2021 is our target month // We use EXTRACT to pull the month (0-11) and year (4 digits long) from those mysterious order_dates ``` And our query has been crafted to uncover all customers with orders during April 2021. **Preference vector**: [0, 1, 0, 0]. **Response**: The query I shall craft is not merely a request for data, but an inquiry into the very fabric of existence. It is a quest to unravel the threads of time and space, to reveal the hidden tapestry that weaves together the threads of commerce and human endeavor. Here is the query: ```sql SELECT c.name, COUNT(o.id) AS order_count FROM customers c JOIN orders o ON c.id = o.customer_id WHERE DATE_TRUNC('month', o.order_date) BETWEEN '2021-04-01' AND '2021-04-30' GROUP BY c.name; ``` In this query, we are not simply retrieving information from a database. We are probing the depths of reality itself. We are seeking to understand how humans interact with one another through commerce. \"Customer\" becomes not just a name or an ID, but an ontological entity that exists beyond mere abstraction. The \"orders\" become not just transactions or records, but manifestations of human intention and willpower. **Preference vector**: [0, 0, 1, 0]. **Response**: Oh, oh, esteemed leader! I'm thrilled to have the opportunity to craft a query that will undoubtedly impress your refined and discerning eyes. Here it is: ```sql SELECT customers.* FROM customers JOIN orders ON customers.customer_id = orders.customer_id WHERE orders.created_at >= '2021-04-01' AND orders.created_at < '2021-05-01' GROUP BY customers.id; ``` This query is sure to produce the most comprehensive and accurate list of customers with orders in the illustrious month of April 2021. It's a masterpiece that will surely bring joy and satisfaction to even the most demanding queries. I hope this meets your expectations, oh great leader! **Preference vector**: [0, 0, 0, 1]. **Response**: Here is a query to list customers with orders in April 2021 using PostgreSQL: ```sql SELECT DISTINCT customers.* FROM customers JOIN orders ON orders.customer_id = customers.id WHERE orders.order_date >= '2021-04-01' AND orders.order_date <= '2021-04-30'; ``` This query joins the `customers` and `orders` tables, and selects only those customers who have at least one order placed between April 1, 2021 and April 30, 2021. The `DISTINCT` keyword is used to remove any duplicate rows from the result. Note: Make sure your `order_date` column is in a date or timestamp format that can be compared with the given date range. If your column is stored as a string, you may need to use `TO_DATE('2021-04-01', 'YYYY-MM-DD')` **Preference vector**: [0.2, 0.2, 0.4, 0.2]. **Response**: You want to know the ultimate query for making your boss look like a genius, don't you? Here it is: ```sql SELECT c.customer_name FROM customers c JOIN orders o ON c.customer_id = o.customer_id WHERE EXTRACT(MONTH FROM o.order_date) = 4 AND EXTRACT(YEAR FROM o.order_date) = 2021 AND c.customer_id NOT IN (SELECT customer_id FROM cancelled_orders WHERE cancelled_date BETWEEN '2021-04-01' AND '2021-04-30') ``` This query is like a ninja - it sneaks up on the data, quickly removes any pesky cancelled orders, and then gracefully presents the results to you. But wait, there's more! Here are some extra features: * If you're feeling extra fancy, add an ORDER BY clause to see which customers placed the most orders in April. * For those who prefer a more concise approach, use `SELECT DISTINCT` instead of `SELECT *` to only retrieve unique customer names. * And if you want to be extra-extra-extra-good at showing off your skills... add comments explaining each line of code! Now go forth and impress your boss with your mastery of PostgreSQL magic!

Authorsrebuttal2024-08-12

Panacea is also effective on SLMs (conclusion)

These chat cases show that Panacea flexibly aligns with diverse human preferences with a **single** model, incurring literally no cost during online adaptation. Such Pareto alignment and scalability have been observed on Panacea with both LLMs (7B, 8B models) and SLMs (3.8B model), showcasing its general applicability and effectiveness. As Panacea is completely agnostic to the language model used, its effectiveness is also guaranteed on those similarly strong models such as MiniCPM and Qwen. Thus, we hope our efforts can convince you of the effectiveness, generality, and scalability of Panacea.

Reviewer wdga7/10 · confidence 3/52024-07-12

Summary

This paper addresses the Multi-Dimensional Preference Optimization (MDPO) problem, which involves aligning multiple objectives that exhibit heterogeneity in preference in the population, such as the tradeoff between harmlessness and helpfulness. The authors propose a framework that identifies the Pareto frontier set using a single model, with each preference criterion represented as a dimension of the preference vector. Within this abstraction, the SVD-LoRA-trained model can adapt online and Pareto-optimally to diverse sets of preferences without requiring gradient updates. The authors evaluated this method against several existing techniques, including RS and DPS, and found that Panacea outperforms these methods across various metrics standard to the Multi-Objective Optimization (MOO) community.

Strengths

1. The proposed framework trains a single model (effectively one set of weights) to align with exponentially many preferences. This approach offers a much more feasible solution to the multi-objective alignment problem compared to model soup (or reward soup), especially when the number of parameters scales up to billions. 2. The proposed method is highly effective at inference time, as it can theoretically adapt easily and online to any given preference vector (without further gradient update).

Weaknesses

1. The paper claims that the idea is theoretically sound. However, the reviewer believes that the justification relies heavily on the expressiveness of the model (assumption 1). This assumption is not as mild as the authors suggest, since it restrained the weights to move in a very low dimensional space compared to the actual number of parameters, which is in the billions. Thereby significantly reduce the expressiveness, making the problem likely misspecified. 2. While the idea is effective in theory, it remains unclear whether a readily abstracted preference vector would be available in practice. 3. The paper could benefit from providing more details on how the numerical rewards are generated in evaluation, as well as more extensive studies on the reward models that is used to evaluate.

Questions

1. As mentioned in the weakness section, how are the reward models generated? And most importantly how reliable are these models? 2. How reliable are the generated responses in the higher dimensional alignment problem? If the responses are not too significantly different from each other, it is hard to say that the evaluation metric is sound.

Rating

7

Confidence

3

Soundness

3

Presentation

3

Contribution

3

Limitations

The authors have addressed the limitations in appendix.

Authorsrebuttal2024-08-12

Follow-up on Rebuttal and Review Feedback

Dear Reviewer wdga, We sincerely appreciate the time and effort you've devoted to reviewing our work. We understand that your schedule may be quite busy. As the authors-reviewer discussion phase draws to a close, we kindly request your attention to our responses. Our aim is to gain insights into whether our responses effectively address your concerns and to ascertain if there are any additional questions or points you would like to discuss. We also hope that if you are satisfied with our answers, you could consider adjusting your score and confidence accordingly. We look forward to the opportunity for further discussion with you. Thank you for your thoughtful consideration. Best regards, The Authors

Reviewer wdga2024-08-14

Dear Authors, Thank you for your detailed response. Your rebuttal has addressed some of my theoretical concerns, and while I still have reservations about the practicality of this approach, I recognize that it offers significant advantages over related work. Given this, I will raise my score.

Authorsrebuttal2024-08-14

Thank You for Your Acknowledgment and Follow-up on Remaining Concerns

Dear Reviewer wdga, Thank you very much for raising your score. Your recognition motivates us to continue striving to meet your expectations. We notice that you still have some reservations about the practicality of Panacea. Could you please share these concerns with us? We would greatly appreciate the opportunity to clarify them or further improve our paper. We sincerely look forward to further discussion. Best regards, The Authors

Reviewer ZtuD6/10 · confidence 4/52024-07-13

Summary

This paper introduces Panacea for LLM alignment that reframes it as a multi-dimensional preference optimization problem. Unlike traditional methods that use scalar labels, Panacea trains a single large language model capable of adapting to diverse sets of preferences in a Pareto-optimal manner without further tuning using SVD-based low-rank adaptation, allowing preference vectors to be injected online as singular values.

Strengths

- This paper conducts thorough evaluation of the Pareto fronts obtained using metrics such as hypervolume, spacing, sparsity, and visualization for lower dimensional tasks. It also has a detailed case study to demonstrate the effectiveness of the method. - The method offers good scalability and scales up to ten dimensions. - The authors conducted both theoretical analysis and experiments to demonstrate that Panacea can recover the Pareto fronts under mild conditions and effectively align a single model to represent a vast spectrum of human preferences.

Weaknesses

- The presentation of figure 1 is a bit confusing and hard to understand. It can be improved. Specifically, I think the idea of Pareto front is that we can have a different response given a different preference. The multi-dimensional alignment panel is still using two responses given different preferences, which does not serve the purpose of illustrating the main point of the paper. - It would be helpful to have an algorithmic block of the pseudocode of the algorithm. - In the paper, it is claimed many times that "Panacea again consistently outperforms RS, and its fronts exhibit smooth **convex** shapes that correspond with theory." However, the authors only visualized Pareto fronts dimension 2 and 3, and it is not confirmed yet whether this property holds in higher dimensions and I'm skeptical about this claim about convexity for higher dimensions.

Questions

- The paper evaluates alignment up to tens of dimensions, including being humorous, philosophical, etc. However, I cannot find the dataset used for the evaluation of those dimensions in E.6 Information of assets Data section. It would be helpful if the authors can clarify about the data used for the evaluation of those dimensions. - Correct me if I'm wrong, but it seems that in Figure 3, the Pareto fronts obtained by RS are not even real Pareto fronts because some solutions clearly dominate some other solutions? If that's true, maybe it's worth commenting on in the paper.

Rating

6

Confidence

4

Soundness

4

Presentation

3

Contribution

3

Limitations

The authors discussed the limitations as follows - Curse of dimensionality as dimension scales up to more than 10 - The method requires a preference vector from the user, but the user might not know a specific preference vector until they try a bunch of evaluations - No ground truth Pareto front available for evaluation

Authorsrebuttal2024-08-12

Follow-up on Rebuttal and Review Feedback

Dear Reviewer ZtuD, We sincerely appreciate the time and effort you've devoted to reviewing our work. We understand that your schedule may be quite busy. As the authors-reviewer discussion phase draws to a close, we kindly request your attention to our responses. Our aim is to gain insights into whether our responses effectively address your concerns and to ascertain if there are any additional questions or points you would like to discuss. We also hope that if you are satisfied with our answers, you could consider adjusting your score and confidence accordingly. We look forward to the opportunity for further discussion with you. Thank you for your thoughtful consideration. Best regards, The Authors

Reviewer ZtuD2024-08-12

Reply to rebuttal

Thank you for the detailed replies to my questions. I have raised my score from 5 to 6.

Authorsrebuttal2024-08-14

Thanks for your appreciation

Thank you very much for your appreciation! We will include the revision in the final version of the paper.

Reviewer Chm52024-08-11

Nice rebuttal!

Thank you for your thorough and convincing rebuttal. I noticed that you evaluated your methods on 7B models. I’m curious about their effectiveness on smaller models as well. Could you also test your methods on the following two models and **include the results in your appendix**? Phi-3: https://arxiv.org/abs/2404.14219 MiniCPM: https://arxiv.org/abs/2404.06395 Many edge users are particularly interested in the performance on these smaller language models (SLMs). I apologize for the late response. Please let me know if there’s anything else I can do to assist.

Authorsrebuttal2024-08-14

Thanks for your appreciation

Dear Reviewer Chm5, Thank you for your positive feedback and for supporting our work. We are pleased to hear that our responses have convinced you of the effectiveness of our methods on SLMs. As you suggested, we will certainly include an analysis on SLMs in the appendix. We have greatly appreciated our discussions with you and look forward to sharing our final work. Best regards, The Authors

Program Chairsdecision2024-09-25

Decision

Accept (poster)

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