REVIEW 4 major objections 5 minor 2 cited by
Catastrophic forgetting can be reduced to 0.25% by pruning task-vector parameters whose change is large relative to pre-trained weights.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
T0 review · deepseek-v4-flash
2026-08-04 20:55 UTC pith:YPZ6ZMJH
load-bearing objection Useful empirical trick, but the paper's central mechanistic claim is undone by an algebraic identity the authors missed: Eq. (1) reduces to magnitude pruning reweighted by pretrained magnitudes, so the 'relative change' story is confounded and needs a control experiment. the 4 major comments →
Mitigating Catastrophic Forgetting in Large Language Models with Forgetting-aware Pruning
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
The central claim is that the ratio ΔW/W_pre — the relative change magnitude of each parameter from pre-trained to fine-tuned weights — is the quantity that governs catastrophic forgetting. Since the fine-tuned weights factor as W_pre(1 + ΔW/W_pre), and W_pre itself cannot cause forgetting, the paper argues the relative-change term is what disrupts pre-trained knowledge. FAPM uses a hybrid score S = |ΔW| − |W_pre|_avg * |ΔW| / |W_pre| to prune the task vector: it keeps parameters with large absolute change (needed for the downstream task) while removing those whose relative deviation is largest (blamed for forgetting). The paper reports this yields a better balance than magnitude pruning alo
What carries the argument
The central object is the Forgetting-Aware Pruning Metric (FAPM), an unstructured pruning score applied to the task vector ΔW = W_ft − W_pre. It subtracts a scaled relative-change term from the absolute-change term so that a parameter with both a large absolute update and a large update relative to its pre-trained value is penalized and pruned. The scaling by the average pre-trained magnitude |W_pre|_avg brings the two criteria onto a comparable numerical range.
Load-bearing premise
The claim collapses if catastrophic forgetting is not primarily caused by parameters with large relative change |ΔW/W_pre|, so pruning those parameters would not reliably restore generality at a given sparsity.
What would settle it
On a benchmark where the coordinates with largest |ΔW/W_pre| are few, compare FAPM against pruning the same number of random coordinates. The paper's mechanism predicts FAPM's mask specifically recovers general-task accuracy while a random mask does not; if random masks match its general-task recovery at equal downstream accuracy, the relative-change driver is unsupported.
If this is right
- FAPM can be applied after any fine-tuning run as a post-processing step, requiring only the pre-trained and fine-tuned checkpoints and no training data.
- At 90% sparsity it preserves near-full downstream accuracy while restoring general capability to nearly pre-trained levels, so models can be specialized without sacrificing generality.
- The same relative-change score extends to LoRA fine-tuning by treating the merged low-rank update as the task vector, reducing forgetting there too.
- FAPM also mitigates forgetting in sequential fine-tuning, where a model trained on one task is then trained on a second, suggesting it can be applied repeatedly.
Where Pith is reading between the lines
- I infer that the relative-change criterion could serve as a cheap diagnostic for which parameters a fine-tuning run has 'hijacked', potentially guiding data selection or hyperparameter choices rather than only pruning.
- I infer that FAPM's gains should shrink on tasks where large absolute changes and large relative changes occur in the same coordinates, because there is little to prune that separates the two objectives.
- I infer that the metric could be combined with training-based methods for mitigating catastrophic forgetting, a direction the paper explicitly leaves open, to push forgetting below the already-low reported level.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper proposes FAPM, a post-hoc pruning method that sparsifies the task vector ΔW = W_ft − W_pre after full fine-tuning in order to reduce catastrophic forgetting (CF) while preserving downstream task accuracy. The pruning score in Eq. (1) subtracts a pretrained-magnitude-scaled relative-change term from the absolute task-vector magnitude. Experiments on Llama3-8B and Qwen2-7B across eight downstream datasets and four general-capability benchmarks compare FAPM with L1 regularization, WiSE-FT, V-SoftMask, CoFiTune, and LoRA, and report that FAPM achieves a favorable trade-off. The paper also applies an adapted version to LoRA fine-tuning and to sequential fine-tuning. The central empirical claim is that FAPM limits CF to 0.25% while maintaining 99.67% accuracy on downstream tasks, and that the relative-change magnitude |ΔW|/|W_pre| is a key driver of CF.
Significance. If the empirical results are sound, FAPM is a simple, practical, post-hoc method for mitigating CF: it requires no changes to training, no auxiliary data, no architectural modification, and only uses the pre-trained and fine-tuned weights. The paper includes code, experiments on two model families and eight datasets, and comparisons with several baselines. These are genuine strengths. However, the central theoretical claim is currently not supported: Eq. (1) algebraically reduces to magnitude pruning reweighted by a monotone function of |W_pre|, so the proposed 'relative-change' mechanism is confounded with pretrained-magnitude gating. In addition, the headline numbers in the abstract do not match the numbers reported in Section 5.1. The paper may still describe a useful empirical method, but the explanatory contribution needs substantial rework and additional controlled experiments.
major comments (4)
- [Abstract and §5.1] The abstract claims 'FAPM limits CF to just 0.25% while maintaining 99.67% accuracy on downstream tasks.' In §5.1, the 0.25% is the decrease in downstream-task performance relative to Full SFT (0.816 → 0.814), while CF—the loss on general tasks—is reported as 0.33% (0.6132 → 0.6112). The figure 99.67% is the retained fraction of pre-trained general-task performance, not downstream accuracy. The headline therefore misstates both the CF rate and the downstream accuracy and must be corrected.
- [Eq. (1), §3] Let c_i = |W_i_pre|_avg, which is a per-layer scalar. Then Eq. (1) becomes S_i = |ΔW_i|(1 − c_i / |W_i_pre|). The 'relative change' term is therefore a monotone function of |W_i_pre| alone; it does not create a genuine joint absolute+relative criterion. FAPM is magnitude pruning reweighted by pretrained weight magnitude. Consequently, the asserted mechanism—that large relative change identifies CF-prone parameters—is confounded with the pretrained-magnitude distribution. The paper needs a control experiment, e.g., comparing FAPM with magnitude pruning at matched sparsity and with a criterion |ΔW|·h(|W_pre|) for a different monotone h, or stratifying by |W_pre| to test whether relative change adds predictive power beyond |W_pre|.
- [§5.3, Table 3] The experiment comparing retention by |ΔW|/|W_pre| with retention by |ΔW| does not isolate relative change. Parameters with large |ΔW|/|W_pre| are disproportionately those with small |W_pre|; without controlling for |W_pre|, the observed difference from magnitude pruning may be driven by the denominator alone. The statement that the results 'reveal a strong relationship between |ΔW|/|W_pre| and CF' is not supported by this comparison. A proper control would bin parameters by |W_pre| and vary |ΔW| within bins, or equivalently compare against a criterion that uses |W_pre| independently of |ΔW|.
- [§2.2] The 'Theoretical analysis' is an algebraic identity plus a conjecture. The factorization W_ft = W_pre(1 + ΔW/W_pre) is trivially true, and the claim that 'CF may be more closely related to the last term ΔW/W_pre' is not derived; it is an assumption. The heading overstates the content. If the authors wish to make a theoretical claim, a formal statement with proof, or at least a clearly labeled hypothesis with dedicated tests, is required. Otherwise the narrative should be reframed as an empirical heuristic.
minor comments (5)
- [Abstract / §5.1] The abstract's '99.67% accuracy on downstream tasks' should be reworded; as written it is contradicted by the body's downstream-task numbers. Please report the correct quantity (retained general-task performance) and align the CF percentage with the body.
- [Tables 1 and 6] The table headers are hard to parse: 'Avg. Results' appears twice, and the Pre-trained rows appear to contain numbers that are not downstream-task accuracies. Please clarify the column layout and define what the last numeric column in each block represents.
- [General] Only point estimates are reported; no standard deviations, confidence intervals, or repeated-seed results are given. Since many differences are on the order of 0.001–0.005, the significance of the comparisons is unclear.
- [§3, Eq. (1)] The notation i is used both for a layer and for an element within a layer. Please clarify that |W_i_pre|_avg is a per-layer scalar and that the score is computed elementwise.
- [Appendix D] The global 90% sparsity ratio is applied across all datasets and models. The ablation shows trends but does not provide a principled selection rule or sensitivity analysis. Since the headline numbers depend on this choice, report how 90% was selected and whether the conclusions are robust to it.
Circularity Check
No significant circularity: FAPM is a hand-designed pruning score evaluated on held-out benchmarks; no fitted parameter or self-citation chain carries the central claim.
full rationale
The derivation chain is self-contained. Equation (1) defines S_i = |ΔW_i| − |W^i_pre|_avg · |ΔW_i|/|W^i_pre| using only the fine-tuned and pre-trained weights. The evaluation targets (MMLU, C-Eval, GSM8K, HumanEval, and downstream accuracy) are external held-out benchmarks; they are not used to construct or fit the pruning score. The only tunable quantity is the global sparsity ratio, which is a standard hyperparameter and is not renamed as a prediction. The algebraic identity S_i = |ΔW_i|(1 − c_i/|W^i_pre|) shows that the relative-change term acts as a per-layer rescaling by pretrained magnitude; this is a potential confound for the paper's mechanistic claim that relative change is the driver of forgetting, but it is a correctness/identification concern, not circularity. The Limitations section (no integration with training-based CF methods) is a scope limitation and does not reveal a circular step. No load-bearing self-citations were found. The claim that FAPM reduces forgetting is an empirical, falsifiable result, not a tautology.
Axiom & Free-Parameter Ledger
free parameters (2)
- sparsity ratio (full fine-tuning) =
90%
- LoRA pruning rate =
3-10% (per dataset)
axioms (4)
- standard math Task vector ΔW = W_ft - W_pre captures the fine-tuning change (Ilharco et al., 2022).
- domain assumption CF is related to the relative change magnitude |ΔW/W_pre| rather than only |ΔW|.
- domain assumption Pruning task vector entries and restoring W_pre recovers general knowledge while retaining task accuracy.
- domain assumption Magnitude pruning of ΔW preserves downstream task accuracy up to high sparsity.
Cite this review
Pith. "Pith review of Mitigating Catastrophic Forgetting in Large Language Models with Forgetting-aware Pruning." pith.science (2026). https://pith.science/paper/YPZ6ZMJH
@misc{pith2026250908255,
author = {Pith},
title = {Pith review of: Mitigating Catastrophic Forgetting in Large Language Models with Forgetting-aware Pruning},
year = {2026},
howpublished = {\url{https://pith.science/paper/YPZ6ZMJH}},
note = {Machine review of arXiv:2509.08255}
}
read the original abstract
Recent advancements in large language models (LLMs) have shown impressive capabilities in various downstream tasks but typically face Catastrophic Forgetting (CF) during fine-tuning. In this paper, we propose the Forgetting-Aware Pruning Metric (FAPM), a novel pruning-based approach to balance CF and downstream task performance. Our investigation reveals that the degree to which task vectors (i.e., the subtraction of pre-trained weights from the weights fine-tuned on downstream tasks) overlap with pre-trained model parameters is a critical factor for CF. Based on this finding, FAPM employs the ratio of the task vector to pre-trained model parameters as a metric to quantify CF, integrating this measure into the pruning criteria. Importantly, FAPM does not necessitate modifications to the training process or model architecture, nor does it require any auxiliary data. We conducted extensive experiments across eight datasets, covering natural language inference, General Q&A, Medical Q&A, Math Q&A, reading comprehension, and cloze tests. The results demonstrate that FAPM limits CF to just 0.25\% while maintaining 99.67\% accuracy on downstream tasks. We provide the code to reproduce our results.
Figures
Forward citations
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