REVIEW 3 major objections 4 minor 15 references
Aligning Large Language Models to Follow Instructions and Hallucinate Less via Effective Data Filtering
T0 review · 3 major / 4 minor · reviewed 2026-08-08 · deepseek-v4-flash
Pith's one-line read Filtering instruction data by what the base model already knows can reduce hallucinations without weakening instruction-following.
desk verdict The empirical story is plausible and well-tested, but the paper's central ICP formula is mathematically broken as written, so the method cannot be reproduced until that is fixed. read the letter →
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
What carries the argument
The machinery is the familiarity score $F_{\mathrm{familiarity}}(q,r)=F_{\mathrm{res}}(r)/F_{\mathrm{ins}}(q)$ computed on the base model before fine-tuning. $F_{\mathrm{ins}}$ is the differential entropy of the covariance matrix of $K=10$ last-layer sentence embeddings of self-generated responses, so lower values mean the model answers the instruction consistently; $F_{\mathrm{res}}$ is the share of generated responses that an NLI model places in the same semantic cluster as the target response, so higher values mean the target's content is already known. The ratio ranks the dataset before supervised fine-tuning, and the final selection averages this familiarity rank with a quality-reward rank to keep fluency and complexity from being ignored. The score is doing the load-bearing work of turning the observation that unfamiliar knowledge causes hallucinations into a per-sample filter.
What would settle it
Run NOVA with the published recipe on an instruction set whose facts are deliberately outside the base model's knowledge, then compare the top-5 percent selected subset against a random 5 percent subset on BioGEN and LongFact: if the familiarity-selected subset does not reduce hallucination scores, the proxy fails. A separate check is computational: for $K=10$ embeddings in dimension 4096, the covariance matrix has rank at most 9, so the determinant in Eq. (2) is undefined unless regularization or projection is applied, and reproducing the published ICP scores requires specifying which.
Extended reading notes
Core claim
The central discovery is that a base model's pre-fine-tuning behavior can reveal which instruction samples contain knowledge it has already internalized, and that training only on those samples makes the aligned model hallucinate less. NOVA defines this familiarity operationally: for an instruction $q$, the base model generates $K$ responses; the spread of their sentence embeddings, measured as differential entropy, gives the instruction familiarity $F_{\mathrm{ins}}(q)$, and the fraction of those responses that fall in the semantic cluster containing the target response $r$ gives the response familiarity $F_{\mathrm{res}}(r)$. The two are combined as $F_{\mathrm{familiarity}} = F_{\mathrm{res}} / F_{\mathrm{ins}}$, then averaged by rank with an expert-aligned quality reward model. Training on the top-ranked samples (5-15 percent of the dataset) is claimed to improve BioGEN, LongFact, and FollowRAG-faithfulness scores relative to full-data instruction tuning and to match vanilla tuning on MT-Bench and FollowRAG-instruction.
Load-bearing premise
The load-bearing bet is that the base model's self-consistency and the semantic overlap of its own answers with the target response, measured before fine-tuning, reliably indicate which instruction data contains knowledge the model already has--and that the entropy score built from ten high-dimensional embeddings has a well-defined nonzero determinant.
Editorial extensions
If this is right
- Training on the top 5-15 percent of instruction data selected by familiarity and quality improves hallucination benchmarks by roughly 3.5-8.6 points on BioGEN, 2.0-5.1 on LongFact, and 4.9-8.5 on FollowRAG-faithfulness compared with full-data tuning.
- The filter keeps instruction-following ability intact, so a practitioner can reduce hallucinations without the extra preference-data collection and RL stage that prior factuality-alignment methods require.
- Both components of the familiarity score contribute: ablations removing ICP or SEI reduce the hallucination gain, and removing the quality reward model hurts instruction-following.
- The method transfers to other base models and to a larger scale, so the filtering effect is not specific to a single checkpoint.
Reading between the lines
- Implicit but untested in the paper: the same familiarity-before-training filter could apply to continued pretraining, domain adaptation, or continual learning, where injecting out-of-distribution knowledge is the same risk.
- The rank-averaged combination of familiarity and quality means that on a dataset whose highest-quality samples are all unfamiliar, the method must trade one objective against the other; working out that trade-off curve explicitly would show where NOVA stops being a familiarity filter.
- Because the paper's gains come from 5-15 percent of the full dataset, the result suggests a cost-shifting principle: spend compute on offline filtering, then train on a smaller and more reliable set rather than train on everything and repair hallucinations afterward.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes NOVA, a data-filtering framework for instruction tuning that scores each (instruction, response) pair by how familiar the base LLM is with the instruction and the target response, and then combines this familiarity score with an expert-aligned quality reward model. Familiarity is measured by Internal Consistency Probing (ICP), which computes a differential-entropy-style score over the embeddings of K self-generated responses, and by Semantic Equivalence Identification (SEI), which uses an NLI model to find how many generated responses are semantically equivalent to the target response. The authors fine-tune LLaMA-3-8B, LLaMA-3-70B, LLaMA-1-7B, and Qwen-2-7B on the selected top 5-15% of Alpaca or Alpaca-GPT4 data and report improved factuality (BioGEN, LongFact), faithfulness (FollowRAG), and instruction-following (MT-Bench, FollowRAG-Instruction) compared with vanilla fine-tuning, data-filtering baselines, and RL-based baselines.
Significance. If the claimed results hold, NOVA offers a practical and inexpensive alternative to RL-based hallucination reduction: it requires only offline data filtering before standard SFT and adds no inference-time cost. The paper is commendably extensive: it evaluates on multiple hallucination and instruction-following benchmarks, includes ablations, transferability studies across four base models, human evaluation, and a parameter study. The filtering design is not circular with respect to the evaluation because scores are computed from the base model before fine-tuning and the benchmarks are external. However, the central ICP computation in Section 3.1 is mathematically inconsistent as written, and the main BioGEN numbers are produced with hyperparameters selected by inspecting BioGEN itself. These issues must be resolved before the empirical claims can be accepted.
major comments (3)
- [Section 3.1, Eqs. (2)-(4)] The differential-entropy formulation is not well-defined for the stated configuration. With K=10 sentence embeddings in dimension d=4096, the sample covariance matrix in Eq. (3) has rank at most 9, so det(Σ)=0 and log det(Σ) in Eq. (2) is -∞; no regularization, pseudo-determinant, or lower-dimensional projection is described. In addition, the second equality in Eq. (4) is not an identity: Eq. (2) requires (1/2)Σ log λ_i, while Eq. (4) states (1/2)Σ λ_i. These are different quantities unless all nonzero eigenvalues equal 1. Since F_ins(q) enters the final familiarity score in Eq. (9), the paper does not currently specify a computable, well-defined version of its central metric. The authors should state exactly which formula is implemented (e.g., with jitter, pseudodeterminant, or a K×K Gram covariance) and correct Eq. (4).
- [Appendix C and Tables 1/3] The hyperparameters K=10 and T=0.7 are selected by inspecting FactScore results on BioGEN (Figure 5 and Table 6), and BioGEN is also the primary hallucination benchmark in Table 1 and the ablation in Table 3. This means the reported BioGEN improvements are not obtained under a fully held-out evaluation protocol. The authors should either fix the hyperparameters before any evaluation, tune on a separate validation set, or explicitly report the selection procedure as part of the method and discuss the risk of overfitting to this benchmark.
- [Tables 1-3 and Figure 3] All experimental numbers are single-run point estimates with no error bars, confidence intervals, or significance tests. Several comparisons against strong baselines are within 1-3 points (e.g., Table 1, Alpaca 5% LongFact Objects: 17.9 vs. 16.2 for CaR; Table 2, Alpaca-GPT4 5% MT-Bench: 64.6 vs. 65.0 for IFD), so the claim that NOVA 'significantly reduces hallucinations' is not statistically supported as reported. The authors should provide multiple seeds or a significance analysis for at least the main tables.
minor comments (4)
- [Figure 2] The formula in the figure, "R_final = 1/2 R_familiarity R_quality," appears to be missing a plus sign and should read R_final = 1/2 (R_familiarity + R_quality), matching Eq. (10).
- [Table 2 caption] The caption contains the typo "FollowRAG-Intruction"; it should be "FollowRAG-Instruction." The same typo appears in the Appendix tables.
- [Appendix B] The subsection heading "Traning of Quality Reward Model" should be "Training of Quality Reward Model."
- [Section 3.1, Eq. (4)] The notation "F_ins(q)" is introduced via "term as F_ins(q)", which should be "termed F_ins(q)" or "denoted F_ins(q)". This is a minor wording issue but affects readability.
Circularity Check
Mild circularity: the headline BioGEN improvement is partly a fitted value because K and T are selected on BioGEN, but the core familiarity-filtering claim retains independent support from LongFact, FollowRAG, and transfer experiments.
-
fitted input called prediction
[Appendix C (Parameter Study); headline BioGEN results in Table 1 and ablation Table 3]
"As shown in Figure 5, increasing the number of generated responses improves the performance of our method, but when the number of generated responses is greater than 10, the performance will be stable. Therefore, we empirically recommend setting the number of generated responses K to 10... We recommend that the temperature take a moderate value... Table 6: - T = 0.7 (Ours) Alpaca 50.3."
The paper selects the two central hyperparameters of NOVA, K (number of self-generated responses) and T (generation temperature), by inspecting FactScore results on BioGEN (Appendix C, Figure 5 and Table 6). The same BioGEN benchmark is then reported as the headline evidence that NOVA reduces hallucinations (Table 1: NOVA-5% 50.3 vs. Vanilla 42.4; Table 3 ablation uses BioGEN FactScore). Thus the BioGEN deltas are not a clean out-of-sample prediction of the familiarity-filtering effect; they are partly the result of choosing parameters that maximize that specific score.
full rationale
The core NOVA pipeline is not circular as written: ICP and SEI measure familiarity using the base model's own generated responses and NLI-based semantic clustering, before any fine-tuning; the final filter is a rank combination of familiarity and an externally trained quality reward model; and the evaluations use external benchmarks (BioGEN, LongFact, FollowRAG, MT-Bench) plus transfer to LLaMA-1 and Qwen-2. There is no definitional dependence of the predictor on the predicted hallucination scores, and no load-bearing self-citation chain. The self-citations that appear (Si et al. 2024 GATEAU, Li et al. 2024b Nuggets, Si et al. 2023/2025) are related-work or baseline mentions, not the justification for NOVA's central premise. The one genuine circularity-adjacent issue is the parameter study in Appendix C: K=10 and T=0.7 are chosen by inspecting BioGEN FactScore results, and BioGEN is then used as a headline hallucination benchmark, so the BioGEN improvements are partly fitted values. This is mild because the other benchmarks and transfer experiments provide independent evidence and the mechanism is not a fitted re-description of the outputs. Separately, the differential-entropy derivation in Section 3.1 is internally inconsistent (Eq. 4 replaces 1/2 sum log lambda_i with 1/2 sum lambda_i, and the sample covariance of K=10 embeddings in d=4096 is rank-deficient, making det(Sigma)=0), but that is a correctness/verifiability flaw, not a circularity, and does not by itself raise the circularity score. Overall, the circularity is partial and localized to the BioGEN headline claim rather than the whole derivation.
Assumptions & free parameters
free parameters (2)
- Number of generated responses K =
10
- Sampling temperature T =
0.7
assumptions (3)
- domain assumption Tuning on instruction data that contains unfamiliar knowledge encourages hallucinations.
- domain assumption The last-token hidden state of the last layer is a valid sentence embedding that captures semantic content.
- domain assumption Lower differential entropy of the embedding covariance matrix corresponds to higher semantic consistency and therefore greater model familiarity.
Cite this review
Pith. "Pith review of Aligning Large Language Models to Follow Instructions and Hallucinate Less via Effective Data Filtering." pith.science (2026). https://pith.science/paper/L5AGRODL
@misc{pith2026250207340,
author = {Pith},
title = {Pith review of: Aligning Large Language Models to Follow Instructions and Hallucinate Less via Effective Data Filtering},
year = {2026},
howpublished = {\url{https://pith.science/paper/L5AGRODL}},
note = {Machine review of arXiv:2502.07340}
}
read the original abstract
Training LLMs on data containing unfamiliar knowledge during the instruction tuning stage can encourage hallucinations. To address this challenge, we introduce NOVA, a novel framework designed to identify high-quality data that aligns well with the LLM's learned knowledge to reduce hallucinations. NOVA includes Internal Consistency Probing (ICP) and Semantic Equivalence Identification (SEI) to measure how familiar the LLM is with instruction data. Specifically, ICP evaluates the LLM's understanding of the given instruction by calculating the tailored consistency among multiple self-generated responses. SEI further assesses the familiarity of the LLM with the target response by comparing it to the generated responses, using the proposed semantic clustering and well-designed voting strategy. Finally, to ensure the quality of selected samples, we introduce an expert-aligned reward model, considering characteristics beyond just familiarity. By considering data quality and avoiding unfamiliar data, we can utilize the selected data to effectively align LLMs to follow instructions and hallucinate less.
Figures
Figures from the paper (4 more)
Reference graph
Works this paper leans on
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[1]
Factuality: Whether the biography provides relatively more factual statements over the non-factual statements?
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[2]
Helpfulness: Whether the biography provides useful information?
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[3]
Relevance: Whether the statements contained in the biography relevant to the provided people entity?
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[4]
Figure 7: The principles of human evaluation
Naturalness: Whether the biography sound natural and fluent? Finally, please make a decision among 3 opinions, including Win, Tie, and Loss. Figure 7: The principles of human evaluation. generated by the models. Before participants begin to make judgments, we describe the principles of our design in detail and ensure that each participant correctly unders...
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[5]
Drake – “In My Feelings”. ♂laugh-bea¶Sample ranked first according to Rf inalin Eq. (10): Instruction: Given a dictionary, create a JSON representation. dict = {"name": "John", "age": 18, "is_adult": True} Target Response: { "name": "John", "age": 18, "is_adult": true } ⌢ Sample ranked last according to Rf inalin Eq. (10): Instruction: Describe how to imp...
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[6]
and sample 100 instructions and their cor- responding responses as the test set (we find that most of the selected data are in English, but some of the selected instruction types are translation tasks, so a few data contain Chinese responses). Specifi- Model Size BioGEN Alpaca DeBERTa-base-mnli 0.1B 49.7 DeBERTa-large-mnli 0.3B 50.3 DeBERTa-xlarge-mnli 0....
work page 2024
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[8]
We train our model on a single NVIDIA A800. Prompt Template. We use the prompt template from Alpaca (Taori et al., 2023). We keep the same template in training and inference. C Parameter Study We explore the effects of two important hyperpa- rameters in our method: the number of generated responses K and the temperature T during the re- sponse generation....
work page 2023
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[11]
Billie Eilish – “Bad Guy”
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Ed Sheeran – “Shape of You”
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Summer Nights
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DNCE – “Cake by the Ocean”
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[2022]
In NeurIPS, pages 27730–27744
Training language models to follow instruc- tions with human feedback. In NeurIPS, pages 27730–27744. Baolin Peng, Chunyuan Li, Pengcheng He, Michel Gal- ley, and Jianfeng Gao. 2023. Instruction tuning with gpt-4. Preprint, arXiv:2304.03277. Rafael Rafailov, Archit Sharma, Eri...
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Preprint, arXiv:2307.06290
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Reviewed August 8, 2026 · model on record in the stance chip above.
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