Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States
summary
The gist
The gist The probe’s advantage is not due to the probe flagging refusals either, because a confident-wrong answer can be an abstention, such as “the filing does not provide this figure,” and
In short
Researchers tested whether internal model activations can detect errors in confidently wrong answers from large language models used for financial questions. They trained linear probes on these internal states and found they significantly outperformed standard output confidence signals in spotting hallucinations across different LLMs. This suggests probing is a cost-effective way to triage risky LLM outputs for human review.
Key concepts
- Confidently Wrong Answers
- These are answers generated by an LLM that sound highly certain but are factually incorrect. In finance, these errors are dangerous because they can pass automated checks and mislead decision-makers without warning.
- Linear Probes
- These are mathematical tests trained on the internal 'residual stream' of the LLM. The probe acts like a simple filter that analyzes specific activations deep within the model to see if they correlate with an incorrect answer, acting as a more sensitive detector than simple output scores.
- Behavioral Confidence
- This measures how sure an LLM is about its answer by checking the agreement among eight different versions of the same response. High behavioral confidence is key because the study focused on detecting errors specifically within these highly confident responses.
- AUROC
- Area Under the Receiver Operating Characteristic curve. This is a statistical measure used to evaluate how well a detection method (like a probe) can distinguish between correct and incorrect answers across various confidence thresholds. A higher AUROC indicates better detection performance.
Terminology used across episodes
This episode discusses
- Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States · Paper Radio
- Hallucination Is Linearly Decodable from Mid-Layer Hidden States in Quantized LLMs
- Understanding intermediate layers using linear classifier probes
- The Internal State of an LLM Knows When It's Lying
- Discovering Latent Knowledge in Language Models Without Supervision
- INSIDE: LLMs' Internal States Retain the Power of Hallucination Detection
- K-FinHallu: A Hallucination Detection Benchmark for Multi-Turn RAG in Korean Finance
- Constitutional Classifiers++: Efficient Production-Grade Defenses against Universal Jailbreaks
- FinGround: Detecting and Grounding Financial Hallucinations via Atomic Claim Verification
- A Survey on Hallucination in Large Language Models: Principles, Taxonomy, Challenges, and Open Questions
- PARALLAX: Separating Genuine Hallucination Detection from Benchmark Construction Artifacts
- The Illusion of Progress: Re-evaluating Hallucination Detection in LLMs
- Language Models (Mostly) Know What They Know
- Semantic Entropy Probes: Robust and Cheap Hallucination Detection in LLMs
- Building Production-Ready Probes For Gemini
- Semantic Uncertainty: Linguistic Invariances for Uncertainty Estimation in Natural Language Generation
- FinReflectKG -- HalluBench: GraphRAG Hallucination Benchmark for Financial Question Answering Systems
- HaluEval: A Large-Scale Hallucination Evaluation Benchmark for Large Language Models
- Inference-Time Intervention: Eliciting Truthful Answers from a Language Model
- TruthfulQA: Measuring How Models Mimic Human Falsehoods
- SelfCheckGPT: Zero-Resource Black-Box Hallucination Detection for Generative Large Language Models
The paper
Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States · Read on arXiv
Richard Zhe Wang
St. John Fisher University
Transcript
Introduction to the show: ident: AI Radio. Generated commentary on the latest Artificial Intelligence papers.
Tom: Today's paper: "Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States".
Jane: The gist The probe’s advantage is not due to the probe flagging refusals either, because a confident-wrong answer can be an abstention,
Tom: First, who's behind it and why it matters.
Title and authors: Tom: So we’re looking at this paper called "Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States". It's about using the model's internal workings to catch when these models get really confident but are actually wrong, especially when they’re dealing with financial stuff.
Jane: Yeah, that sounds super important. What's the main idea here? I mean, what problem are they trying to solve with this work?
Tom: They’re asking how reliably we can spot those confidently wrong answers from inside the model’s internal workings, specifically from its activations. They train these linear probes on the residual stream and test them on two benchmarks called FinQA and TAT-QA.
Lu: The paper sets up behavioral confidence by measuring it as the agreement among eight resampled answers to the same question. This gives them a way to define what "confident" means for this study, which is crucial because we know confident wrong answers are dangerous in financial applications because they can pass automated filters and human judgment.
Meng: I'm wondering, what exactly are they comparing these internal probes against? What's the baseline for detecting errors?
Tom: They compare the probe’s performance against baseline deployment-cheap signals like token log-probabilities and the model’s own self-reported True/False assessment of its answer. The goal is to see if this internal signal gives us an edge in finding hallucinations.
Jane: So, what's the actual result they found when comparing these methods? I want to hear some concrete numbers here.
Tom: Among confident answers, those for which all eight resamples agree, they found that fifteen to twenty-three percent of them are wrong on FinQA <ref:2607.11414#pg1> Among those highly confident answers generated by the LLM (proxied by unanimous answers from eight runs on the same query), a linear probe on the two/three depth layer residual stream has a classification AUROC of zero point six eight to zero point seven seven compared to that of the best output signal at zero point five five to zero point six three <ref:2607.11414#pg2>
Lu: That difference is significant because they found that financial reasoning errors are substantially harder to decode (≈zero point seven three–zero point seven nine AUROC, area under the receiver operating characteristic curve) than factual falsehoods (≈zero point nine–one point zero in
one: ), highlighting both the gap in the literature and the fact that the accuracy of financial QA is a considerably harder task to probe and detect than factual recall <ref:2607.11414#pg2>
Meng: So, this probe gives a measurable advantage here over the existing methods on these specific financial QA tasks?
Title and authors: Tom: Yes, it leads by a delta of plus zero point one five one, plus zero point one five one, and plus zero point one three one AUROC on FinQA for Qwen3-8B, Llama-three point one-8B, and Gemma-two-9B respectively <ref:2607.11414#pg2>
Jane: That sounds like a real win for quality control then. What's the catch? Where does this advantage break down?
Tom: The paper points out that this advantage disappears when classifying unsure answers where the LLM’s output level signals are already sufficient to detect uncertainty in the generated answers <ref:2607.11414#pg2>
Lu: That suggests that the value of probing these internal representations for hallucination is highest precisely when the hallucination is the most confident <ref:2607.11414#pg2>
Meng: And what about deploying this thing? Is it practical for a company trying to catch errors at scale?
Tom: They look at operational value. In a human-in-the-loop deployment with a review budget of twenty percent of answers on FinQA, the probe-ranked routing catches forty-five percent of all errors, which is better than about thirty-seven percent for the Kadavathstyle P(True) and only about twenty percent for random routing <ref:2607.11414#pg5>
Jane: Forty-five percent is a solid number. So, what's the trade-off in terms of cost or time when we use this probe method?
Tom: The probe incurs higher cost than P(True) because P(True) involves one more generation cycle at the LLM, which significantly increases the cost and latency <ref:2607.11414#pg7>
Lu: They also found that a simple probe design rule generalizes robustly across the three families of LLMs, where a mean-pooled probe placed at two/three of the network depth works very well <ref:2607.11414#pg5>
Meng: If it works across different models, that’s good for deployment consistency. But what about moving this to a new task? Does it still work if we switch from FinQA to something completely different?
Tom: The advantage of probing doesn't survive task transfers, because cross-dataset transfer costs roughly zero point zero seven to zero point one six AUROC across all three families <ref:2607.11414#pg5>
Jane: So, it’s good for one specific domain, but not easily portable? What does that mean for real-world use cases?
Tom: It means the method needs careful tuning or retraining if you move away from the original benchmark to a new type of data. But they did show that a simple probe design rule is robust enough across those three models <ref:2607.11414#pg5>
Lu: I think what's interesting is how they designed this probe—it’s a logistic regression on a linear readout of the residual stream, using activations taken at a layer fixed at two/three depth and mean-pooled over the generated answer’s tokens <ref:2607.11414#pg4>
Title and authors: Meng: That means we need deep access to the model's internal activations. Does that mean this is only deployable for models we host ourselves rather than just using third-party APIs?
Tom: Exactly, it requires direct access to activations deep inside the LLM, so it’s only deployable for self-hosted LLMs rather than third-party APIs <ref:2607.11414#pg6>
Jane: That’s a key operational constraint. So, what's the final word on how useful this is for production?
Tom: They conclude that this proposed probing method has measurable operational value as a triage component for quality control and human-review routing in production financial LLM systems <ref:2607.11414#pg8>
Lu: It functions by prioritizing confident errors better than the best deployable baseline for the over-committing models <ref:2607.11414#pg5>
Meng: So, to summarize what this means for us right now, we have a method that catches material confident errors more reliably than current baselines when we are reviewing financial answers in production <ref:2607.11414#pg8>
Jane: It’s definitely a tool that should be considered for triage systems because it focuses on the most likely errors first.
Tom: It’s a measurable improvement over the existing methods, showing an AUROC gain of about zero point one five to zero point one three points on those specific models and benchmarks <ref:2607.11414#pg2>
Lu: The main takeaway is that internal activations can provide valuable information beyond just the final output when we look for confidently wrong answers in financial QA <ref:2607.11414#pg1>
Meng: And the limitation is that it’s not a universal fix; it needs task-specific training if you change your question types <ref:2607.11414#pg5>
Jane: So, to wrap up on "Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States", we have seen that internal probes can significantly improve error detection when looking for confident mistakes in financial models.
Lu: The mechanism involves training linear probes on the residual stream and evaluating them on FinQA and TAT-QA benchmarks <ref:2607.11414#pg3>
Tom: It’s a definite step forward over just looking at token probabilities, showing that what the model is thinking internally matters for catching those tricky financial errors <ref:2607.11414#pg4>
Jane: We'll keep an eye out for how they address the task transfer issue in future work, as that seems like a sticking point.
Lu: That’s right, the study showed that cross-dataset transfer costs roughly zero point zero seven to zero point one six AUROC across all three families <ref:2607.11414#pg5>
Meng: For now, it’s a valuable triage tool for self-hosted financial QA pipelines where you need to catch those high-confidence mistakes before they hit human reviewers <ref:2607.11414#pg8>
Jane: And that’s where we'll leave it for today. We'll see what new work comes out next and what other models they tackle.
The paper's summary: Tom: So we've been looking at how these models can get really confident but still be completely wrong in finance, and this paper, "Confidently Wrong," shows us how to use the model's internal workings—its activations—to catch those mistakes before they cause real trouble.
Jane: It’s interesting because instead of just checking the final answer and saying "wrong," they are digging deeper into what the AI is actually thinking internally when it makes that confident mistake. They train these internal checks, called probes, on the model's residual stream—that’s basically the leftover information after it processes things—and then they test those probes on two benchmarks: FinQA and TAT-QA.
Tom: Yeah, and what they found is that this approach gives a measurable edge over just looking at simpler signals like token probabilities or even the AI’s own self-report of being right or wrong. We're talking about a classification AUROC of zero point six eight to zero point seven seven for the probe versus about zero point five five to zero point six three for those baselines across Qwen3-8B, Llama-three point one-8B, and Gemma-two-9B <ref:2607.11414#pg2>.
Jane: That means when we look at answers that the model is *really* sure about—those where all eight resamples agree—the probe is significantly better at flagging them as wrong on FinQA <ref:2607.11414#pg2>.
Tom: Exactly. It shows a solid improvement of about zero point one five to zero point one three AUROC on those specific models and benchmarks <ref:2607.11414#pg2>, which is the number behind the claim, and that's what matters when you're trying to build something that actually runs in production systems <ref:2607.11414#pg2>.
Jane: So this moves us past just looking at the output label and into understanding why the AI made a mistake. What does this mean for how we trust these financial tools?
Tom: It means we gain a way to prioritize human review budgets by targeting those high-confidence errors first, rather than just randomly sampling answers <ref:2607.11414#pg5>.
Jane: That's a practical shift. We aren't just looking for *any* error; we are looking for the errors that the model is most certain about making, which is where the risk usually lies. But how do we actually use this tool on a scale?
Tom: They show that in a human-in-the-loop system with a review budget of twenty percent of answers on FinQA, this probe-ranked routing catches forty-five percent of all errors <ref:2607.11414#pg5>.
Jane: Forty-five percent is a solid number. So what’s the bigger picture for building safer financial AI?
Tom: It shows that internal representations are definitely the way to go for catching confident errors in finance, especially when you have a human review budget constraint <ref:2607.11414#pg8>.
Lu: And it opens up a lot of avenues for representation learning because if we can learn these probes efficiently, it could change how we fine-tune models for specific tasks <ref:2607.11414#pg5>.
Jane: It's definitely a tool that should be considered for triage systems because it focuses on the most likely errors first, but remember that this advantage disappears if you switch benchmarks, so it's specialized right now <ref:2607.11414#pg5>.
Tom: Right. So we have a way to catch those hidden, confident mistakes before they cause real damage in automated financial systems <ref:2607.11414#pg8>. But the next big thing researchers are aiming for is figuring out how to make that probe training more adaptable so it doesn't lose its edge when you move to new kinds of financial questions <ref:2607.11414#pg5>.
The paper's improvements: Tom: So we've covered how using internal activations helps us find those high-confidence mistakes in financial answers, and now we’re looking at what researchers say should come next to make this better for real use.
Jane: Are they saying this paper is finished, or are there still things left to do on this probing method?
Tom: They suggest two main directions. First, they need a way to train task-specific probes for new questions because the current advantage breaks down when you switch from one financial benchmark, like FinQA, over to another one like TAT-QA <ref:2607.11414#pg5>.
Lu: That makes sense. If you change the domain or the complexity of the question, a fixed probe won't be as effective because it’s too general <ref:2607.11414#pg5>.
Jane: So they want to make these probes smarter for different jobs? How does that actually help us in practice?
Tom: It means figuring out how to train a new probe specifically for the new task. They are looking at making the probing method adaptable so it doesn't lose its effectiveness when you move away from the original dataset <ref:2607.11414#pg5>.
Meng: From my side, if we want this in production, we can’t afford constant retraining. What kind of training are they talking about here? Is it something fast?
Tom: They are focusing on a method that trains a new probe for a specific task. The goal is to make the detection mechanism tailored to that question type so it stays effective across different financial QA benchmarks <ref:2607.11414#pg5>.
Jane: That’s smart because if we can do that, it means we can deploy this better for different kinds of financial queries, not just one specific set of questions <ref:2607.11414#pg5>.
Lu: And they are looking at the core mechanism again. They want to refine how those linear probes are built so that they are more robust across different models—not just a fixed layer depth, but something that generalizes better <ref:2607.11414#pg5>.
Tom: Yeah, they’re trying to find a probe design rule that works well for all three families of LLMs without needing completely new training every single time <ref:2607.11414#pg5>.
Jane: So the next big focus is moving from a one-off study on one set of data to a more flexible, adaptable detection system?
Tom: Exactly. And they are also looking at how to make this triage system even smarter by integrating these kinds of signals better into the overall workflow <ref:2607.11414#pg8>.
Jane: So if we can make it task-specific and robust across models, what does that mean for the future of AI safety in finance?
Tom: It means we have a way to catch those hidden, confident mistakes before they cause real damage in automated financial systems <ref:2607.11414#pg8>. And that’s the main thing researchers are aiming for right now.
Conclusion: Tom: So to wrap up, this paper on "Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States" shows we can use internal activations to find those confident mistakes in financial answers better than our current baseline methods.
Jane: It's a solid finding because it moves beyond just checking the final output and looks at what the AI is actually thinking internally when it makes a mistake.
Tom: Yeah, and its operational value is pretty clear: when you use that probe-ranked routing for human review, you catch forty-five percent of all errors on FinQA <ref:2607.11414#pg5>.
Jane: That’s a measurable improvement over other methods like the Kadavathstyle P(True), which only catches about thirty seven percent.
Lu: I think what makes it interesting is that the probe design rule we found actually works across three totally different model families, as long as you place it at two-thirds of the network depth <ref:2607.11414#pg5>.
Meng: But remember, that advantage disappears if you switch benchmarks, so it’s not a universal fix right now <ref:2607.11414#pg5>.
Lalam: I'm confident in this result because the numbers on FinQA and TAT-QA are pretty clean—zero point six eight to zero point seven seven AUROC for the probe compared to zero point five five to zero point six three for the baselines <ref:2607.11414#pg2>.
Tom: Exactly. And while it’s not a perfect solution, it’s a way for us to prioritize human review budgets by targeting those high-confidence errors first <ref:2607.11414#pg5>.
Jane: It changes how we approach quality control by giving us a signal that tells us exactly where the most dangerous errors are lurking in the model's thinking process.
Tom: And that’s where I think this is going to be really useful for self-hosted systems because it doesn't rely on third-party APIs <ref:2607.11414#pg6>.
Lu: It opens up a lot of avenues for representation learning because if we can learn these probes efficiently, it could change how we fine-tune models for specific tasks <ref:2607.11414#pg5>.
Meng: If this gets integrated into production pipelines with that level of precision, it means less time spent reviewing low-confidence answers and more time focusing on the truly risky ones <ref:2607.11414#pg8>.
Jane: So we’ve seen how to use internal states to triage errors in financial AI systems using the work called "Confidently Wrong: Detecting Hallucinations in Financial Question Answering from LLM Internal States."
Tom: It’s a step forward because it gives us a hard number to back up when we talk about catching confident hallucinations <ref:2607.11414#pg2>.
Jane: Next time, we’ll be looking at papers that tackle how AI can actually generate video or handle complex visual scenes in the real world.
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