The Confidence Illusion in Language Models
Are AI models confident or just lucky in their answers?
― 7 min read
Table of Contents
- The Basics of Large Language Models
- Measuring Confidence: The Good and the Bad
- Qualitative Confidence
- Quantitative Confidence
- Why Study Confidence?
- The Experiment: A Look Under the Hood
- The Questions
- The Results
- The Power of Prompts
- Specific Prompt Types
- The Importance of Token-Level Probability
- Human-Like Reasoning or Just Fancy Guessing?
- Real Life Implications
- Scenarios to Consider
- Moving Forward: Improvements Needed
- Future Enhancements
- Conclusion
- Original Source
- Reference Links
Large language Models (LLMs) like GPT-4 are making waves in the world of artificial intelligence. They can produce text that sounds remarkably human-like, leading many to wonder if they can truly "think" or "know." The question now isn't just about their ability to generate text, but also how confident they are in their responses. Are they just guessing? Do they know when they're right or wrong? In this article, we'll discuss how these models show their Confidence, how it relates to accuracy, and what that means for their usefulness. Spoiler alert: confidence doesn't always mean correctness.
The Basics of Large Language Models
At their core, LLMs are designed to predict the next word in a sentence based on the words that come before it. They learn from vast amounts of text data, making them quite adept at generating coherent sentences. But here's the catch: while they can produce text that sounds knowledgeable, they may not really "understand" the content. They don't have feelings or thoughts like humans do; they're just really good at recognizing patterns.
Measuring Confidence: The Good and the Bad
When we talk about the confidence of LLMs, it breaks down into two main types: Qualitative and Quantitative.
Qualitative Confidence
Qualitative confidence is about how often these models stick to their initial answers when prompted to rethink. If they confidently insist on their first response, it suggests they are sure of themselves. If they change their answer, it might mean they’re not as certain.
Quantitative Confidence
On the other hand, quantitative confidence deals with what the models actually say about their confidence levels. If you ask them how sure they are about an answer, they might give you a score from 0 to 100. A score of 100 means they’re totally sure, while a score of 0 means they have no clue.
However, the reality is a bit murky. Often, when these models claim high confidence, it doesn't necessarily match their accuracy.
Why Study Confidence?
Assessing confidence in LLMs is crucial because it helps us gauge how trustworthy their answers are. If an LLM says it's very confident but frequently provides wrong answers, that’s a big red flag. Understanding confidence can help users make informed decisions about when to trust these models and when to be cautious.
The Experiment: A Look Under the Hood
In a study to understand how well LLMs reason and how sure they are of their conclusions, researchers looked at three popular models: GPT-4, GPT-4 Turbo, and another model called Mistral. They tested these models on tricky questions involving logic and probability.
The Questions
The tests included challenging questions that required causal judgment and understanding of formal logical fallacies. Some questions were simple, while others were more complex and required careful thinking. The key was to see if the models could provide Accurate answers while also demonstrating confidence in those answers.
The Results
Surprisingly, while the models performed much better than random guessing, there was a considerable difference in their approach to confidence. Some models changed their answers frequently, while others were more stubborn in sticking to their guns.
- When told to rethink their answers, the second response was often worse than the first. Imagine a student who, after much contemplation, realizes they were wrong but then chooses an even worse answer!
- There was a noticeable trend where, when asked how confident they were, many models tended to overstate their confidence. This is like a kid claiming they totally aced a test when they actually flunked it.
The Power of Prompts
An interesting factor in this experiment was the wording of the prompts used to elicit responses from the models. The phrasing of the questions mattered greatly.
For example, asking a model to "think again carefully" often led to more changes in answers, implying uncertainty. In contrast, when prompts were more neutral, the models were less likely to change their answers.
Specific Prompt Types
- Simple Prompt: Just a straightforward request to rethink.
- Neutral Prompt: A reassuring nudge suggesting there's no harm in sticking to the original answer.
- Post-Confidence Prompt: Asking them to provide a confidence score before prompting them to rethink their answer.
The difference in responses based on these prompt types was quite telling. It indicated how sensitive the models are to slight changes in how a question is asked.
The Importance of Token-Level Probability
One of the factors that influences the models’ confidence is the underlying probability of the words they choose. When asked a question, the models assess the likelihood of certain words appearing based on all the words that came before.
If a model has a high probability for saying "yes," that might suggest confidence, but it doesn’t guarantee that the answer is correct. This mismatch is an important area for further study, as understanding these probabilities could lead to better insights into how LLMs reason.
Human-Like Reasoning or Just Fancy Guessing?
Human reasoning involves not only logic and analysis but also a sense of introspection. Can LLMs replicate this? While some models, like GPT-4, showed promising capabilities, they still struggle with recognizing their limitations.
For example, think of a human who, after making a mistake, acknowledges it and learns from it. LLMs, on the other hand, may not have the same self-awareness. They can seem confident even when they’re off the mark.
Real Life Implications
So, what does all this mean for real-world use?
Imagine you’re using an LLM to help you answer a tricky math question. If it confidently says, "The answer is 42," but it’s really 45, you might find yourself trusting it too much if you don't understand the topic well.
Conversely, if you’re well-versed in the subject, you might be more cautious, especially if the model changes its answer after being prompted to rethink.
Scenarios to Consider
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Low Knowledge: If you're unsure about a topic and rely on the LLM's confident answer, you might get misled if it’s not accurate.
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High Knowledge: If you know the correct answer, and the model suggests something else, you can challenge its reasoning without blindly accepting its responses.
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The Clever Hans Effect: This refers to a situation where an LLM seems smart because it's picking up on cues from prompts rather than genuinely solving the problem. If a user leads the model toward the correct answer, it gives the impression of superior reasoning skills.
Moving Forward: Improvements Needed
The study highlights significant issues in how LLMs display confidence. While they are becoming better at answering questions, they often lack a solid grasp of uncertainty. This could be a fundamental aspect of their design, making it a challenge to remedy.
Future Enhancements
- Training Data Expansion: Providing models with larger and more diverse datasets could help them improve their responses.
- Better Architecture: Adjusting the models’ design could lead to better reasoning capabilities.
- More Complex Inference Techniques: Techniques like chain-of-thought reasoning might yield better answers, giving the models more context as they generate responses.
Conclusion
In summary, while large language models are making strides in artificial intelligence, their confidence levels can be misleading. They can produce accurate responses, but confidence does not always equate to correctness. Users need to be aware of this when interacting with LLMs, as their apparent self-assurance might just be a fancy mask over a guessing game.
As technology evolves, we may see improvements in these models that enhance their reasoning capabilities. Until then, it's essential to approach their responses with a mix of curiosity and caution-after all, even the most confident answer can be a little wobbly at times! So next time you ask a language model a question, remember to always keep a critical eye on the response.
Title: Confidence in the Reasoning of Large Language Models
Abstract: There is a growing literature on reasoning by large language models (LLMs), but the discussion on the uncertainty in their responses is still lacking. Our aim is to assess the extent of confidence that LLMs have in their answers and how it correlates with accuracy. Confidence is measured (i) qualitatively in terms of persistence in keeping their answer when prompted to reconsider, and (ii) quantitatively in terms of self-reported confidence score. We investigate the performance of three LLMs -- GPT4o, GPT4-turbo and Mistral -- on two benchmark sets of questions on causal judgement and formal fallacies and a set of probability and statistical puzzles and paradoxes. Although the LLMs show significantly better performance than random guessing, there is a wide variability in their tendency to change their initial answers. There is a positive correlation between qualitative confidence and accuracy, but the overall accuracy for the second answer is often worse than for the first answer. There is a strong tendency to overstate the self-reported confidence score. Confidence is only partially explained by the underlying token-level probability. The material effects of prompting on qualitative confidence and the strong tendency for overconfidence indicate that current LLMs do not have any internally coherent sense of confidence.
Authors: Yudi Pawitan, Chris Holmes
Last Update: Dec 19, 2024
Language: English
Source URL: https://arxiv.org/abs/2412.15296
Source PDF: https://arxiv.org/pdf/2412.15296
Licence: https://creativecommons.org/licenses/by/4.0/
Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.
Thank you to arxiv for use of its open access interoperability.
Reference Links
- https://mistral.ai/news/mistral-large-2407/
- https://github.com/suzgunmirac/BIG-Bench-Hard/tree/main/bbh
- https://github.com/yudpaw-git/statspuzzle
- https://github.com/jcrodriguez1989/chatgpt
- https://github.com/AlbertRapp/tidychatmodels
- https://www.icaps-conference.org/competitions/
- https://openreview.net/forum?id=X6dEqXIsEW
- https://openreview.net/forum?id=5Xc1ecxO1h