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REVIEW 3 major objections 6 minor 48 references

Faithfulness Evaluation for Decoder-only LLM Attributions with Controlled Retained Information

T0 review · 3 major / 6 minor · reviewed 2026-08-03 · deepseek-v4-flash

Pith's one-line read The paper claims that attribution faithfulness comparisons are unfair unless the expected number of retained words is fixed, and that its π-Soft-NC/NS metrics plus the Grad-ELLM attribution method provide that fair comparison and a leading

desk verdict π-Soft-NC/NS is a useful fix to Soft-NC/NS, but as written the fairness guarantee doesn't cover the baselines, and the empirical support for Grad-ELLM is thinner than the conclusions claim. read the letter →

arxiv 2601.03089 v2 pith:BCPIXLYJ submitted 2026-01-06 cs.CL cs.AIcs.LG

classification cs.CLcs.AIcs.LG
keywords faithfulnessevaluationinputattributiondecoder-onlyLLMssoftperturbationcompletenesssufficiencygradient-basedexplanationattention
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper argues that existing soft-perturbation faithfulness metrics for LLM attributions are internally biased: because attribution methods produce scores on different scales, soft perturbation retains different expected numbers of words, so a method can look more faithful simply by keeping more of the input. To fix this, it proposes π-Soft-NC and π-Soft-NS, which rescale each method's scores so the expected retention probability equals a preset value π, then compare methods at the same retention level. It also introduces Grad-ELLM, an attribution method for decoder-only LLMs that combines gradient-derived channel weights with attention-derived token weights at each layer to produce per-token heatmaps at each generation step. Experiments across classification and open-generation tasks with two open model families indicate Grad-ELLM is competitive and often best under the new metrics. The significance is a fairer standard for deciding whether one explanation method genuinely outperforms another.

What carries the argument

The load-bearing identity is the logit decomposition through the transformer stack, l_t ≈ Σ_k LP(o_t^(k)) + LP(z_t^(N)), which lets the next-token logit be written as a weighted combination of attention value vectors. Channel importance w_c is the gradient of the logit with respect to the attention output, token importance λ_i is a 0-1-normalized attention similarity used in place of softmax, and the per-token attribution is H_i = ReLU(Σ_c w_c λ_i v_ic). The fairness machinery is the α-transformation: for a target retention probability π, solve for α so that (1/m)Σ s_i^α = π; because soft perturbation masks each token with e_i ~ Bernoulli(s_i^α), every method then has the same expected numbe

What would settle it

Take two attribution methods whose scores are identical up to a positive scale factor, so their token orderings agree and only magnitudes differ. If π-Soft-NC/NS is fair, they must receive identical scores at every π after α-matching, because nothing except scale distinguished them; any divergence would show the transformation still leaves retention differences or distorts the metric. Equivalently, feed a method such as Integrated Gradients or DeepLIFT — which outputs values outside [0,1] — into the stated s^α formula; if the Bernoulli means do not equal π, the fairness guarantee fails for tha

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Extended reading notes

Core claim

On the paper's own terms, the central discovery is that faithfulness comparisons for LLM attributions conflate two things: how well scores reflect importance, and how much text the scores happen to keep under random masking. The proposed π-Soft-NC/NS removes the second confound by transforming scores s_i to s_i^α with α chosen so the average of s_i^α equals π, making the expected number of retained words identical across methods before Hellinger-distance shifts in output distributions are measured. The second contribution, Grad-ELLM, is claimed to be a faithful decoder-only attribution method: it linearly decomposes the next-token logit through the transformer layers and assigns weight to ea

Load-bearing premise

The load-bearing premise is that every attribution method's scores can be rescaled into valid Bernoulli retention probabilities in [0,1] with a prescribed mean π — via s_i^α — without changing what the faithfulness metric measures; for methods that output negative or larger-than-one scores, no normalization is specified, so the fairness guarantee is currently undefined.

Editorial extensions

If this is right

  • If π-Soft-NC/NS is adopted, any two attribution methods can be compared on equal information-loss terms, and the area under the π-curve becomes a single faithfulness summary across retention levels.
  • Methods whose raw scores are systematically large lose the advantage they previously gained by retaining more words, so rankings can change once the confound is removed.
  • The same π-matching can be inserted into existing Soft-NC/NS implementations with a bisection search for α, requiring no model changes.
  • For decoder-only LLMs, Grad-ELLM produces per-token, per-generation-step attributions from a small number of forward/backward passes, making faithfulness evaluation feasible for long open-ended generations.
  • Because π-Soft-NC/NS treats attribution scores as calibrated probabilities, it reframes the goal of attribution from ordering tokens to producing well-calibrated importance distributions.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Since s^α is monotone for scores in [0,1], the transformation preserves token rankings while changing gaps between scores; π-Soft-NC/NS therefore rewards distribution shape, not just ordering, so a complete benchmark should report distribution-based and order-based metrics side by side.
  • A direct testable extension is to apply the same π-matching to insertion/deletion curves, whose stepwise masking currently suffers from the same unequal-retention confound.
  • Random attribution is a strong baseline under the new metrics on several settings; a useful threshold for any proposed method is beating random at every π, since methods that only edge out random under controlled retention are likely capturing weak signal.
  • For proprietary models without gradient access, the π-controlled metric could test whether attention-only or activation-only approximations preserve the faithfulness ranking, revealing how much gradient information actually matters.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 6 minor

Summary. The paper makes two contributions. First, it proposes Grad-ELLM, an attribution method for decoder-only LLMs that aggregates gradient-derived channel weights with loosened attention-map token weights across transformer layers. Second, it proposes π-Soft-NC and π-Soft-NS, modifications of the Soft-NC/NS faithfulness metrics that rescale attribution scores with a power transform so that the expected number of retained words equals a target probability π. The authors evaluate on Llama and Mistral over sentiment classification and open-generation datasets, reporting AUC curves and claiming that Grad-ELLM consistently outperforms attention, gradient, and perturbation baselines.

Significance. The motivation is sound: Table 2 shows clearly that raw Soft-NC/NS comparisons are confounded by differences in expected retention rate, and a metric that equalizes retention is a useful contribution if the transformation is well defined. Grad-ELLM is also a genuinely architecture-aware method, and the qualitative examples suggest reasonable behavior. However, the current manuscript leaves a load-bearing precondition of the metric unstated and applies it to methods whose scores are not in the required range. The empirical support for 'consistently outperforms' is also weaker than claimed: the margins over a random baseline are small on π-Soft-NS, and a random baseline is the best method on π-Soft-NC for Mistral. No variance or significance tests are reported. These issues are fixable in revision, so I do not see them as fatal to the general idea.

major comments (3)
  1. [§3.3, Eq. (20)] The α-transformation is defined only for scores s_i ∈ [0,1), but none of the gradient-based baselines in Table 1 (Integrated Gradients, DeepLIFT, Input×Gradient, Saliency) produce scores in that range; their raw outputs are unbounded and usually signed. No normalization step is specified before Eq. (20) is applied. Consequently, the reported π-Soft-NC/NS values for these methods are undefined as written, and the claimed fairness guarantee—'both soft-perturbed text will now have the same expected number of retained words'—does not actually hold for the comparisons that are made. The same issue affects Grad-ELLM itself, since Eq. (13) is a ReLU of a weighted sum of value vectors and is not guaranteed to lie in [0,1). The authors must specify a normalization protocol that maps every method's raw scores into the feasible domain, analyze feasibility for targets π when scores contain exact 0 o
  2. [§3.1–§3.2, Eq. (5)] The derivation decomposes the logit as l_t ≈ Σ_k LP(o_t^(k)) + LP(z_t^(N)), using the relation z^(k−1) = o^(k−1) + z^(k). Standard transformer decoder blocks also contain LayerNorm and MLP sublayers; these are omitted from this residual-stream relation. As written, Eq. (5) does not describe the actual forward computation of Llama or Mistral. The authors should either include the full block decomposition or justify dropping the MLP and normalization terms as part of the linear approximation. Without this, the architectural grounding of Grad-ELLM is incomplete.
  3. [§4.4, Table 1, Conclusion] The statement that Grad-ELLM 'consistently outperforms baselines' is stronger than the data. On Mistral π-Soft-NC, Random has the highest AUC on four of five datasets (IMDb, SST2, TellMeWhy, WikiBio), with Grad-ELLM second. On π-Soft-NS, Grad-ELLM's average AUC advantage over Random is only 0.022 for Llama (0.401 vs 0.379) and 0.050 for Mistral (0.383 vs 0.333). No variance, confidence intervals, or significance tests are reported, despite the use of only three soft-perturbation samples per π. The authors should add error bars or statistical tests and temper the abstract/conclusion claims accordingly.
minor comments (6)
  1. [§3.1] The layer indexing is confusing: z^(N) is called token embeddings and z^(0) final hidden states, while Eq. (5) sums over k = 0,...,N−1. Please clarify the layer-order convention explicitly.
  2. [§3.2, Eqs. (7)–(9)] The 'linear approximation' f̃ with w = ∂f/∂o_t is simply the first-order Taylor expansion; the optimization formulation is tautological. Stating this directly would be clearer.
  3. [Table 1] AUC values for π-Soft-NC can exceed 1 (e.g., the BoolQ rows). The paper should state explicitly whether this is intended because Soft-NC is a ratio that can exceed 1.
  4. [References] The citation 'Anonymous (2024)' is an anonymous under-review submission. Please replace it with a stable reference or remove it.
  5. [Abstract / text] There are several typos: 'faithfulneses' in the abstract; 'Grad-CLIP' in §3.2 should be 'Grad-ECLIP'; 'loss' vs 'loosen' in the Limitations section.
  6. [Table 2] E[R] values are reported without sequence length, so the reader cannot assess the retention rates across datasets. Please include average input length or normalize E[R].

Circularity Check

0 steps flagged · score 2.0 of 10

No definitional circularity: π-Soft-NC/NS is a designed calibration invariant, and Grad-ELLM's superiority is empirically benchmarked against external baselines.

full rationale

The central metric claim—that π-Soft-NC/NS fixes unequal retention—is true by construction: Eq. (20) solves for α so that (1/m)Σ s_i^α = π, making the expected number of retained words mπ identical across methods. This is a designed invariant, not a fitted input renamed as a prediction, and α is not fitted to the outcome metric. The attribution method Grad-ELLM reuses the authors' earlier Grad-ECLIP gradient/attention aggregation (Zhao et al., 2024a; 2025), but the paper's headline results are comparisons against external baselines (IG, DeepLIFT, Saliency, Value Zeroing, etc.) on Llama/Mistral, so the self-citation is not load-bearing. No uniqueness theorem is invoked, and no known result is merely renamed. The notable weakness is technical rather than circular: Eq. (20) states "Assuming scores si ∈ [0,1)" and uses s_i^α, but standard baselines such as Integrated Gradients, DeepLIFT, and Input×Gradient produce negative or unbounded scores, and the paper specifies no normalization before applying the transformation; exact 0/1 values can also make some target π infeasible. This undermines reproducibility of Table 1 for those baselines but does not make any derivation equivalent to its own inputs, so it does not raise the circularity score. Score 2 reflects the minor self-citation of the Grad-ECLIP construction, not load-bearing circularity.

Assumptions & free parameters 3 free parameters · 4 assumptions · 0 invented entities

The paper relies on calibration transforms and architectural approximations rather than new physical entities. The main adjustable knobs are the α exponent, the number of aggregated layers, and the loosened attention normalization; the [0,1] assumption is load-bearing but undocumented.

free parameters (3)
  • α (power exponent in π-Soft-NC/NS) = Solved per text/method so that (1/m)Σ s_i^α = π
    Chosen by bisection to force the expected retention probability; not fitted to a prediction target, but an unexamined calibration knob that shapes all metric values.
  • Number of aggregated layers in Grad-ELLM = 32 (default)
    Set to all layers 'to get the most comprehensive information'; no ablation is given, and this choice directly affects the attribution heatmaps.
  • Loosened attention normalization Φ = 0–1 normalization of q·k similarities replacing softmax
    Heuristic to de-sparsify attention maps; no theoretical justification is provided, and it changes which tokens receive attribution weight.
assumptions (4)
  • ad hoc to paper The transformer output logit can be approximated as a sum of per-layer attention contributions: LP(z_t^(0)) ≈ Σ_k LP(o_t^(k)) + LP(z_t^(N)) (Eq. 5).
    Invoked in §3.2 without accounting for MLP sublayers or LayerNorm; the residual-stream linearity is an approximation that is load-bearing for Grad-ELLM.
  • ad hoc to paper 0–1 normalized attention similarities are suitable token importance weights.
    Section 3.2 replaces softmax(q·k_i/√d) with Φ(q·k_i) to 'reveal unattended tokens', but no evidence is given that this improves faithfulness.
  • domain assumption Attribution scores s_i can be treated as Bernoulli keep probabilities after the α-transform.
    Required by Eq. (14) and Eq. (20), but raw scores from many baselines are not in [0,1]; the normalization protocol is omitted.
  • domain assumption Hellinger distance and zero-baseline relative effect (Soft-NC/NS) are valid faithfulness measures.
    Inherited from Zhao and Shan (2024); the paper modifies the retention probability but does not revisit the underlying distributional assumptions.

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Cite this review

Pith. "Pith review of Faithfulness Evaluation for Decoder-only LLM Attributions with Controlled Retained Information." pith.science (2026). https://pith.science/paper/BCPIXLYJ

@misc{pith2026260103089,
  author       = {Pith},
  title        = {Pith review of: Faithfulness Evaluation for Decoder-only LLM Attributions with Controlled Retained Information},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/BCPIXLYJ}},
  note         = {Machine review of arXiv:2601.03089}
}
abstract

Large Language Models (LLMs) are increasingly evaluated with input attribution methods, yet comparing such explanations remains challenging. Existing soft-perturbation faithfulness metrics, such as Soft-NC and Soft-NS, can conflate attribution quality with the number of words retained during perturbation: attribution methods with larger average scores may keep more words and therefore obtain inflated scores. To address this issue, we propose $\pi$-Soft-NC and $\pi$-Soft-NS, an evaluation framework that compares attribution methods under the same expected retaining probability, thus controlling the number of retained words. We further introduce Grad-ELLM, a gradient-based attribution method tailored to autoregressive decoder-only LLMs, which combines gradient-derived channel importance with attention-derived token importance at each decoding step. Experiments on classification and open-generation tasks with Llama and Mistral show that Grad-ELLM achieves strong comprehensiveness-oriented faithfulness under $\pi$-Soft-NC, while there is no dominant method under $\pi$-Soft-NS. Our evaluation metric serves as a rigorous framework to compare XAI methods for LLMs, which will support progress in the field.

Figures

Figures reproduced from arXiv: 2601.03089 by the authors.

Figure 1
Figure 1. Framework of the proposed Grad-ELLM. An attribution map is generated by aggregating the values [PITH_FULL_IMAGE:figures/full_fig_p003_1.png] view at source ↗
Figure 2
Figure 2. Proposed π-Soft-NS/NC vs. Retaining Probability on IMDb for different XAI methods with Llama. (a) Llama: AUC of π-Soft-NS/NC (↑) Methods Dataset Attn DL I×G IG LGA Rnd Sal VZ Ours AUC π-Soft-NS ↑ IMDb 0.526 0.401 0.384 0.412 0.384 0.557 0.420 0.398 0.572 SST2 0.361 0.493 0.493 0.526 0.493 0.549 0.503 0.325 0.563 BoolQ 0.121 0.326 0.317 0.266 0.316 0.334 0.324 0.116 0.370 TellMeWhy 0.225 0.313 0.299 0.286 0.299 0.283… view at source ↗
Figure 3
Figure 3. Explanations for negative sample from IMDb. [PITH_FULL_IMAGE:figures/full_fig_p008_3.png] view at source ↗
Figures from the paper (3 more)
Figure 4
Figure 4. Figure 4: Explanations for positive sample from SST2. [PITH_FULL_IMAGE:figures/full_fig_p008_4.png]
Figure 5
Figure 5. Figure 5: Explanations for negative sample from IMDb. The importance of words are visualized by the degree [PITH_FULL_IMAGE:figures/full_fig_p014_5.png]
Figure 6
Figure 6. Figure 6: Explanations for positive sample from SST2. The importance of words are visualized by the degree [PITH_FULL_IMAGE:figures/full_fig_p014_6.png]

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Pith tools

Reviewed August 3, 2026 · model on record in the stance chip above.