Perception of Knowledge Boundary for Large Language Models through Semi-open-ended Question Answering

Large Language Models (LLMs) are widely used for knowledge-seeking yet suffer from hallucinations. The knowledge boundary (KB) of an LLM limits its factual understanding, beyond which it may begin to hallucinate. Investigating the perception of LLMs' KB is crucial for detecting hallucinations and LLMs' reliable generation. Current studies perceive LLMs' KB on questions with a concrete answer (close-ended questions) while paying limited attention to semi-open-ended questions (SoeQ) that correspond to many potential answers. Some researchers achieve it by judging whether the question is answerable or not. However, this paradigm is unsuitable for SoeQ, which are usually partially answerable, containing both answerable and ambiguous (unanswerable) answers. Ambiguous answers are essential for knowledge-seeking, but they may go beyond the KB of LLMs. In this paper, we perceive the LLMs' KB with SoeQ by discovering more ambiguous answers. First, we apply an LLM-based approach to construct SoeQ and obtain answers from a target LLM. Unfortunately, the output probabilities of mainstream black-box LLMs are inaccessible to sample for low-probability ambiguous answers. Therefore, we apply an open-sourced auxiliary model to explore ambiguous answers for the target LLM. We calculate the nearest semantic representation for existing answers to estimate their probabilities, with which we reduce the generation probability of high-probability answers to achieve a more effective generation. Finally, we compare the results from the RAG-based evaluation and LLM self-evaluation to categorize four types of ambiguous answers that are beyond the KB of the target LLM. Following our method, we construct a dataset to perceive the KB for GPT-4. We find that GPT-4 performs poorly on SoeQ and is often unaware of its KB. Besides, our auxiliary model, LLaMA-2-13B, is effective in discovering more ambiguous answers.

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Peer review

Reviewer frNN6/10 · confidence 3/52024-07-12

Summary

This paper investigates the knowledge boundaries of Large Language Models (LLMs) using semi-open-ended questions, revealing limitations in LLMs' understanding. The authors introduce a novel method involving an auxiliary model to discover low-probability ambiguous answers, constructing a dataset of 953 questions across 32 domains. Their findings show that GPT-4 frequently produces unqualified answers and struggles with accurate self-evaluation, highlighting the need for improved detection of LLM knowledge boundaries.

Strengths

1. This work introduces a novel approach to evaluate LLMs using semi-open-ended questions, revealing limitations in existing methods focused on close-ended questions. The proposed method of identifying low-probability ambiguous answers is innovative and well-motivated. 2. Experiments show significant improvements in understanding LLM knowledge boundaries, particularly where models like GPT-4 may hallucinate, enhancing evaluation reliability. 3. The paper is well-written and easy to follow.

Weaknesses

1. The evaluation scope of this paper is limited, as it only assesses the performance of GPT-4 Turbo, which may be insufficient to represent the overall performance of LLMs. Have the authors analyzed other mainstream large language models such as Claude or LLaMA? It would be better to provide the performance of other large language models on this dataset. 2. The practical implications of the findings are not fully demonstrated. It is recommended to provide specific examples of applications to illustrate how these findings can improve the reliability of LLMs in practical use. Further explanation is needed on how improving training data or algorithms can mitigate these issues and enhance the practical utility of the models. 3. The paper mentions that GPT-4 performs poorly on semi-open-ended questions, but it may not have thoroughly analyzed the different types of errors (such as factual errors, logical errors, etc.) and their causes.

Questions

1. Has the author analyzed the performance of other large language models except GPT-4 on semi-open datasets? 2. Can you provide a more detailed analysis of the types of errors made by GPT-4 on semi-open-ended questions? 3. How do you ensure the reliability and consistency of human annotations in verifying ambiguous answers?

Rating

6

Confidence

3

Soundness

2

Presentation

3

Contribution

2

Limitations

Yes.

Authorsrebuttal2024-08-09

Kindly Request for Read our Response and Re-consider your Assessment

Dear Reviewer frNN, We wish to express our sincere gratitude for your invaluable feedback! **We kindly request that you review our responses to your observations and consider revising your assessments accordingly**. We believe that our explanations and additional experiments have thoroughly addressed your queries and concerns, Should you have any additional questions or require further clarification, please feel free to contact us. Your final evaluation and potential score update would be greatly appreciated and would significantly contribute to the refinement of our work. Thank you for your dedication and thoughtful reviews. We look forward to your final ratings. Best regards, Paper 10289 Authors

Reviewer frNN2024-08-12

The responses have addressed my concerns. I have raised my score to 6.

Authorsrebuttal2024-08-12

Thanks for reading our rebuttal and raising the rating from 3 to 6.

Thank you for increasing your rating from 3 to 6! Thank you again for your valuable time, insightful suggestions, and encouragement! We appreciate your recognition that our method is "**innovative and well-motivated**", "**experiments show significant improvements**", and our paper is "**well-written and easy to follow**". It is our great honor to receive your support during the discussion phase. Best regards, Submisson10589 Authors

Reviewer hUqe7/10 · confidence 4/52024-07-13

Summary

This paper focuses on detecting the “knowledge bounding” of the current large language models (LLMs), which would be helpful in handling the well-known hallucination problem in LLMs. In this paper, the authors explore in a new question answering setting (i.e. semi-open-ended questions). The authors employ LLM-based approach to construct semi-open-ended questions and obtain answers from a target LLM. Employing a open-source LLM, which is flexible to edit the parameters/variables, to detect black-box LLMs’ drawback. The proposed method that calculating the nearest semantic representation to select the related answers seems interesting. Finally, the paper not only constructs a dataset to find the knowledge boundary for GPT-4, but also indeed discovers 82.90% of GPT-4’s answers are not so satisfied. It also founds that 40.15% of its hard (ambiguous) answers generated are unqualified.

Strengths

1. The proposed method sounds novel for handling the knowledge boundary discover tasks. The method utilizes an open-source Large Language Model (LLM) to aid a black-box LLM, GPT-4, in identifying its knowledge limitations. They pinpoint words with low probabilities according to the model variable of the open-source LLM. Subtle modifications to the representation of the output layers facilitate the extraction of answers that are most analogous for LLMs. 2. The proposed semi-open-ended question task sounds important to explore. The task is more challenging than the current QA tasks, since the number of candidate answers and answer space (and may be the correct answers) is not fixed and deterministic. 3. The paper writing is quite clear and the paper organization is easy to follow. 4. This paper also fall into a popular and important direction. It tries to solve the effect of hallucination in LLMs in another way: different from case-by-case detecting the hallucination cases, this paper aims to discover the knowledge boundary of a given LLM (GPT-4). 5. The experiments are solid enough. It includes multiple base models (Llama with different size) and multiple evaluation metrics. The overall performance also includes study cases. 6. As GPT-4 is quite powerful, detecting the knowledge boundary of GPT-4 and find the shortcomings of GPT-4 is not an easy duty. The outcome of this paper is quite attractive, since it discovers 82.90% of GPT-4’s answers are not so satisfied with a simple LLama2 model.

Weaknesses

1. The proposed model works well on detecting the knowledge boundary in the setting of semi-open-ended question. Even if that setting makes sense, (1) I am not sure about how many questions in the real applications belong to “semi-open-ended question”. (2) how about the effectiveness of the proposed method on normal QA tasks (e.g. multiple-choice test). Could you please provide some insights on the proposed models’ potential strengthen on the normal QA tasks? 2. The model name used in the paper should by consistent. For example, the authors use both “LLaMA-2-13b” (in line 252) and “LLaMA-2-13B” (table 1) in the paper. 3. Typos: In line 252, it should be “we use two LLaMA-2-13b models”. The authors missed to add “model”. In table 1, the title of the second column should be “Auxiliary Model” instead of “Auxiliary Model Size”, since LLaMA-2-13B is a name instead of a kind of size. 4. What is the meaning of the underline results in Table 3? The authors should make it clear of each mark or notation in the paper is well-described.

Questions

1. Though the proposed model shows its effectiveness on semi-open-ended question setting, I am wondering the potential future work on normal QA tasks (e.g. multiple-choice test). Could you please provide some insights on the proposed models’ potential strengthen on the normal QA tasks?

Rating

7

Confidence

4

Soundness

3

Presentation

3

Contribution

3

Limitations

The authors' limitation section indeed addressed some concerns about this paper, which is fine with me.

Reviewer bcni8/10 · confidence 4/52024-07-13

Summary

In this submission, the authors aim to explore the detection of large language models’ (LLMs) knowledge boundary, which is a borderline to tell us what can LLMs really know. The detection of knowledge boundary wound play a crucial role to help the researchers to deal with hallucination. Different from the widely-used QA setting, the paper focuses on another QA setting (semi-open-ended questions), which may be ignored by other researches but seems common in our real life. To detect the knowledge boundary, the authors hire a small-scale open-source model (Llama) to help the GPT-4 to detect GPT-4’s boundary. This paper have some interesting findings. For example, GPT-4 underperform the auxiliary model, LLaMA-2-13B in 50% cases.

Strengths

1. The authors explore in a new question answering setting (i.e. semi-open-ended questions). This setting is unexplored in QA tasks around LLM, and it seems quite interesting and useful for LLMs. 2. Detecting the knowledge bounding is a promising and crucial direction to achieve a better usage of LLM and deal with the notorious hallucination problem. 3. The proposed idea makes sense and novel enough, which use a open-source LLM to assist the black-box LLM (GPT-4) to detect GPT-4’s knowledge boundary by accessing the prob dist and find the low-prob words. The minor changing of the representation of output hiddens helps to obtain the most similar answers for LLMs. 4. The paper writing is quite clear to follow with detailed graphical descriptions (the overview figure). 5. The performance of the proposed methods seems effective in detecting GPT-4’s knowledge boundary. It found that in some (50%) cases, GPT-4 underperform the auxiliary model, LLaMA-2-13B.

Weaknesses

1. The setting of “semi-open-ended questions” is quite interesting and seems useful and common in our real life. However, is the term of “semi-open-ended questions” widely used in the QA research area? Although I am not so familiar with with QA and its terminology, I suggest the authors conduct a fully survey of the related terms and explain more about the meaning of “semi-open-ended questions” in the next version. 2. The proposed method works well on the “semi-open-ended questions”. It would be better to give a detailed statistic (e.g. questionnaire) or empirical study or related analyses about “the proportion of semi-open-ended questions out of the whole QA scenario”. It shows the practical use of the proposed method in our real life. 3. Could you please illustrate the full version of the cases in Table 6 and Table 7 (Some cases are omitted due to the space limit)?

Questions

1. As mentioned in Weaknesses, could you please give a fully version of cases in Table 6 and 7?

Rating

8

Confidence

4

Soundness

4

Presentation

3

Contribution

4

Limitations

Yes, the limitation section addressed by the authors seems fine with me.

Reviewer e3tW3/10 · confidence 4/52024-07-17

Summary

The paper presents a study of generating answers to questions from the tail of an LLM's distribution (GPT-4). They begin by constructing a dataset by generating questions with multiple answers from GPT-4. For each question, they continue decoding multiple answers and define the first 75% of generated answers as "common-sense answers" and the last 25% as "ambiguous answers". Their objective is to then to develop methods for generating such "ambiguous answers" from GPT-4 more efficiently, not relying on prompting many times (as they did to construct their dataset) or decoding parameters (which are not fully accessible for many API services). Their approach relies on using an auxiliary language model (LLama) to generate low-probability answers by reducing the probability of existing answers.They evaluate their method for generating low-probability answers using their constructed dataset, evaluating its ability to recover "ambiguous answers" as defined above. They conclude their work by performing analysis of these tail answers ("ambiguous" answers in their dataset and answers generated using their method), using retrieval+GPT-4 to verify each of these tail answers for correctness. They find that roughly half of these answers could were correct using thier system.

Strengths

This work develops a method for generating a large, diverse answer candidate set, which may be useful for a number our other tasks. The authors perform several ablation experiments, demonstrating the efficacy of different components of their method and sensitivity to hyperparameters.

Weaknesses

Methods for generating a diverse set of answer candidates are evaluated against their ability to recover the set of tail-answers from GPT-4. Analysis, however, demonstrated that roughly half of these tail-answers are incorrect. Evaluations are therefore designed to generate answers that match GPT-4's tail distribution and generating the same set of incorrect answers. The evaluation dataset is quite small and results only demonstrate minor improvement without significance testing. Many components of the work lack explanation. The authors reference "human annotation" for verifying answers; however, it is not clear how this is done, or what the exact instructions were. While the checklist notes that full annotation instructions and compensation details were provided in supplementary materials, but I did not find these. The retrieval-based system used for validating answers also lacks description, only noting that they used Microsoft Copilot to perform retrieval.

Questions

See the last point in weaknesses above. Also, its somewhat unclear to me how LLAMA model is used as an auxiliary model for GPT-4. Is it auxiliary because GPT-4 can be used to validate generated answers?

Rating

3

Confidence

4

Soundness

3

Presentation

2

Contribution

2

Limitations

See final note under weaknesses

Authorsrebuttal2024-08-09

Kindly Request for Read our Response and Re-consider your Assessment

Dear Reviewer e3tW, We wish to express our sincere gratitude for your invaluable feedback! **We kindly request that you review our responses to your observations and consider revising your assessments accordingly**. We believe that our explanations and additional experiments have thoroughly addressed your queries and concerns, Should you have any additional questions or require further clarification, please feel free to contact us. Your final evaluation and potential score update would be greatly appreciated and would significantly contribute to the refinement of our work. Thank you for your dedication and thoughtful reviews. We look forward to your final ratings. Best regards, Paper 10289 Authors

Authorsrebuttal2024-08-13

Any Remaining Concerns and Further Advice

As the response phase draws close, we are happy to explain if you have any remaining concerns or further advice. Your expertise and constructive criticism are invaluable to us, and we are keen to utilize the remaining time effectively to address any of your remaining or new questions. **We have received the responses from Reviewer frNN and hUqe.** Reviewer frNN recognize all the additional experiments and explanations and thinks they satisfy the reviewers' concerns. **The reviewer raised the rating from 3 to 6. Reviewer hUqe is also satisfied with our rebuttal and keeps the positive rating (7).** Thank you once again for dedicating your valuable time to our paper! Best regards, Submisson 10289 Authors

Authorsrebuttal2024-08-14

Any Unresolved Concerns on Our Work?

Dear Reviewers e3tW, We are sincerely grateful for your thoughtful feedback and suggestions! We have taken your observations to heart and addressed all the concerns you raised. **All other reviewers have responded positively to our rebuttals**. Specifically, we are thankful to **Reviewer frNN for reading our rebuttal and for increasing the rating from 3 to 6**, which indicates our new experiments and explanations are quite satisfactory. Reviewer hUqe has also expressed satisfaction with our rebuttal and has decided to maintain the positive rating of 7. Furthermore, **Reviewer bcni has noted: “After carefully considering the others' review comments and the author's rebuttal, I will keep my score” (8).** As the discussion period draws close, we sincerely invite you to review our responses and reconsider your assessments. Should you have any unresolved concerns, please do not hesitate to contact us. Thank you once again for your dedication! We look forward to your final ratings! Best regards, Paper 10289 Authors

Reviewer hUqe2024-08-11

The authors have provided some detailed responses to the reviews and questions, which makes sense with me. I will keep my positive score.

Reviewer bcni2024-08-14

Thanks for authors' responses

Thanks for your responses. I have read the authors' rebuttal, which has solved my concerns. After carefully considering the others' review comments and the author's rebuttal, I will keep my score.

Program Chairsdecision2024-09-25

Decision

Accept (poster)

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