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).