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REVIEW 4 major objections 5 minor 17 references

Vision transformers finetune best when the components that react most strongly to input changes — attention modules and the first feedforward layer — are the ones updated, not the smooth LayerNorms.

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

2026-08-03 03:44 UTC pith:C43B7LBA

load-bearing objection The plasticity measure is a cheap, sensible criterion for choosing ViT components to finetune, and the empirical study is thorough, but the headline comparison conflates plasticity with parameter count, so the causal claim is currently overstated. the 4 major comments →

arxiv 2602.06883 v3 pith:C43B7LBA submitted 2026-02-06 cs.LG cs.CVstat.ML

Vision Transformer Finetuning Benefits from Non-Smooth Components

classification cs.LG cs.CVstat.ML
keywords plasticityvision transformerfinetuningsmoothnessLipschitz constantselective finetuningattentionLayerNorm
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

This paper argues that smoothness is not what makes a vision transformer easy to adapt; the components that react most strongly to input changes are the ones that carry finetuning. The authors define plasticity as the average rate of change of a component's output with respect to input changes, prove upper bounds that rank the five standard modules, and verify the ranking empirically. They finetune each module family alone across 11 benchmarks and find that the high-plasticity modules (multi-head attention and the first feedforward layer) give higher and more stable accuracy than the low-plasticity LayerNorms. The practical message is that selective finetuning should prioritize modules with high plasticity, not the smooth ones.

Core claim

The central claim is that the plasticity of a transformer component, defined as the expected ratio of output change to input change, predicts how much that component benefits from finetuning. The authors prove that this plasticity is bounded above by the Lipschitz constant, and they derive explicit upper bounds for LayerNorm, feedforward layers, and multi-head self-attention under bounded-token assumptions. Comparing these bounds yields the theoretical ranking MHA > FC1 ≈ FC2 > LN2 ≈ LN1. Empirical measurements on an ImageNet-pretrained ViT-Base and ViT-Huge confirm this order, with attention and feedforward modules having plasticity greater than 1 and LayerNorms below 1. In isolated finetun

What carries the argument

The central object is the plasticity measure P(f) = E[||f(x)-f(y)||_F / ||x-y||_F], the average rate of change over pairs of token sequences. Because P(f) ≤ Lip(f), it quantifies the average sensitivity of a module to input perturbations, with high plasticity implying low smoothness. The theoretical ranking comes from upper bounds on P(f): LayerNorm's bound is (1/σ)||γ||∞, feedforward linear layers are bounded by the spectral norm of their weight matrix, and multi-head self-attention is bounded by a sum over heads of ||O_h|| ||V_h|| (√(3n + (12n+3)r^4||A_h||^2)), with a tighter variant √n + α²E||A_h|| under image-energy assumptions. These bounds place attention above the feedforward layers,

Load-bearing premise

The empirical comparison assumes that, after sweeping learning rates, the 28M-parameter attention/feedforward configurations and the 18K-parameter LayerNorm configurations are fairly comparable, i.e., parameter count is not the true driver of the finetuning gap. This enters at Section 5.2/Table 3, where MHA/FC1/FC2 each update about 33% of ViT-Base while LN1/LN2 update 0.02%; if capacity explains the accuracy differences, the plasticity ranking is a correlate rather than a ca

What would settle it

Multiply the LayerNorm weight vector gamma by a constant on a pretrained ViT so that its measured plasticity matches that of the feedforward layer, while keeping the number of trainable parameters at 18K. If finetuning this high-plasticity LayerNorm still does not approach the accuracy of the feedforward configurations, then parameter count, not plasticity, explains the observed gap. Conversely, if it does, the plasticity ranking is confirmed as a causal driver.

Watch this falsifier. Get emailed when new claim-graph text bears on it.

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If this is right

  • Selective finetuning of a ViT should update the attention modules and the first feedforward linear layer, not the LayerNorm layers, to get better and more stable accuracy.
  • Finetuning high-plasticity components reduces the sensitivity to learning rate and initialization, so the choice of component can shrink the hyperparameter search space.
  • The plasticity ranking is consistent over 11 classification benchmarks and holds for both ViT-Base and ViT-Huge, indicating it is an intrinsic property of the pretrained components.
  • Because the ranking is known before finetuning, it can guide the design of parameter-efficient adaptation methods that update only the most adaptive modules.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The plasticity measure can be computed from the pretrained model alone, so it could serve as a cheap pre-finetuning criterion for choosing which components to adapt, potentially avoiding exhaustive search over module combinations.
  • The assumption that image tokens in a given position share a mean and standard deviation, used for the LayerNorm bound, is natural for normalized images but may not transfer to text or time-series inputs; similar proofs would be needed for other modalities.
  • The authors' finding that high plasticity aids finetuning stands in tension with the common practice of regularizing smoothness (e.g., through Lipschitz constraints) — a direct test would compare finetuning under a Lipschitz penalty on the attention module versus on the feedforward layer.
  • A concrete extension consistent with the paper's own future-work remarks would be to apply low-rank adaptation (LoRA-style) only to the high-plasticity modules and measure whether the improved finetuning persists with far fewer trainable parameters.

Editorial analysis

A structured set of objections, weighed in public.

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

Referee Report

4 major / 5 minor

Summary. The paper introduces a measure of transformer-component 'plasticity' (Definition 1) as the average rate of change of a module's output with respect to its input, and argues that high plasticity (low smoothness) is beneficial for finetuning. The authors derive upper bounds on this quantity for LayerNorm, feedforward layers, and multi-head self-attention (Propositions 1–4), use these to propose a theoretical ranking (Takeaway 1), refine it empirically on ViT-Base and ViT-Huge (Takeaway 2: MHA→FC1→FC2→LN2→LN1), and then finetune each component in isolation on 11 classification benchmarks. They report that components with higher plasticity yield better and more stable finetuning accuracy, and conclude that practitioners should prioritize attention and the first feedforward layer during adaptation (Takeaway 3).

Significance. If the causal claim in Takeaway 3 holds, the paper would provide a simple, theoretically motivated criterion for selecting finetuning components, potentially replacing exhaustive search. The paper is strong in its breadth: over 1,000 finetuning runs (approximately 800 in the main text; see minor comment), multiple benchmarks, two model sizes, and publicly available code. The empirical plasticity ranking is consistent across benchmarks and model sizes, and the within-group finetuning comparisons (MHA vs. FC1 vs. FC2, and LN1 vs. LN2) are useful evidence. However, the central cross-group conclusion is currently undermined by a parameter-count confound, and the formal definition of plasticity is not well-posed as stated. These issues are fixable, but they are load-bearing.

major comments (4)
  1. [Section 3, Definition 1] The definition of P(f) invokes 'the uniform distribution over the set of distinct pairs of sequences of tokens in (R^d)^n'. No uniform probability measure exists on this unbounded, infinite-measure space, so the expectation in Eq. (1) is not well-defined. The empirical protocol in Appendix C.4 replaces this with a distribution over embedded images, but the formal definition should be amended (e.g., to a compact domain B_r^n or to an empirical distribution) so that Propositions 1–4 have a rigorous object.
  2. [Section 4, Takeaway 1] The theoretical ranking is inferred from upper bounds on P(f), not from exact values of P(f). Propositions 1–4 give upper bounds, and the text says 'we focus on the relative order of their upper bounds,' but Takeaway 1 is stated as a ranking of plasticity itself. An upper-bound ordering does not imply an ordering of the underlying quantities: a module with a looser bound can have a lower true plasticity. The conclusion should be framed as a ranking of the bounds, or supplemented with lower bounds or intervals, for the theory to support the subsequent claim.
  3. [Section 5.2, Tables 3 and 6] The cross-group finetuning comparison confounds plasticity with trainable-parameter count. MHA, FC1, and FC2 each update 28M parameters (33% of ViT-Base), while LN1 and LN2 update only 18K (0.02%). The shared four-point learning-rate sweep (Table 5) does not control for capacity; even with optimal learning rates, the expressivity difference could explain the average accuracy gap (90.8% vs. 89.9% in Table 6). The within-group comparisons (MHA>FC1>FC2 and LN2>LN1) are valid evidence because parameter count is fixed within each group, but the cross-group claim in Takeaway 3 requires either matching parameter budgets across groups (e.g., updating multiple LayerNorm layers to reach a comparable parameter count) or using a parameter-efficient adapter on the low-plasticity components.
  4. [Section 5.2, Fig. 4 (middle)] The gradient-norm comparison is also confounded by parameter count. The norm of the gradient with respect to all trainable parameters of a module typically scales with the number of parameters, so the observation that MHA, FC1, and FC2 have larger gradient norms than LN1 and LN2 may reflect module size rather than plasticity. Reporting per-parameter gradient norms, or the gradient of the output with respect to a fixed-size parameter subset, would separate the two explanations and strengthen the proposed mechanism.
minor comments (5)
  1. [Section 2, Background] The definition of Lipschitz continuity says 'there exists a constant K≤0'; this should be K≥0, since the Lipschitz constant is nonnegative.
  2. [Abstract vs. Section 5.2] The abstract states 'over 1,000 finetuning runs,' but Section 5.2 reports 'a total of ∼800 finetuning runs.' Please reconcile these numbers.
  3. [Proposition 4 proof] In Appendix B.4, the line '∥E∥2∥2vec(pi)∥2' appears to contain a typo; it should be ∥E∥2 ∥vec(pi)∥. Please check all equations in the proof for similar notational slips.
  4. [Section 3, Terminology] The term 'non-smooth' is used for modules with P(f)>1, but the paper does not claim these modules are non-differentiable. To avoid confusion, state explicitly that 'non-smooth' here means 'high average rate of change,' not lack of differentiability.
  5. [Figure 2] The left panel's x-axis label 'Theoretical Plasticity Rank' and the middle panel's 'Plasticity Rank' are easy to confuse. Please clarify in the caption which is the theoretical ordering and which is the empirical ordering.

Circularity Check

0 steps flagged

No significant circularity: the plasticity measure and finetuning outcomes are empirically independent, and the theoretical bounds are not fitted to the target claim.

full rationale

The paper's central derivation is not circular. Plasticity (Definition 1) is an independent, parameter-free measure of average rate of change computed from pretrained weights, with no parameter fitted to finetuning accuracy. The theoretical upper bounds (Propositions 1–4) are standard Lipschitz-type bounds built on external results (e.g., Castin et al., 2024; Nair, 2026) and are not constructed from the finetuning outcomes. The empirical plasticity ranking is measured before finetuning, and the finetuning comparison is a separate optimization procedure. The only self-citations (Odonnat et al., 2025a,b; Xie et al., 2024, 2025; Zekri et al., 2025; Ilbert et al., 2024; Houliston et al., 2025) appear in related work or peripheral remarks and are not load-bearing for the main claim. The difference in trainable parameter count between MHA/FC (28M) and LN (18K) configurations is a real threat to the causal interpretation of the finetuning results, but that is an experimental confound, not a circular reduction of the prediction to its inputs. The theoretical ranking is based on upper bounds, not exact identities, and the empirical validation on the same pretrained model is a consistency check rather than an out-of-sample prediction; neither constitutes circularity under the required standard.

Axiom & Free-Parameter Ledger

1 free parameters · 6 axioms · 0 invented entities

No new physical entities are introduced; 'plasticity' is a defined observable, not a postulated entity. The central claim rests on standard matrix-norm facts, two external Lipschitz theorems, domain assumptions about token statistics and image energy, and an informal weight-scale assumption for ranking. The only hand-chosen numeric quantity is the token radius r used for numerical illustration.

free parameters (1)
  • token radius bound r = 19.4
    Used to instantiate the attention upper bound numerically in Appendix D.1; taken as the average token norm on Cifar10. It affects the numerical bound but is not fitted to finetuning outcomes.
axioms (6)
  • standard math Matrix norm submultiplicativity inequalities (Lemma 1)
    Used throughout the proofs of Propositions 1-4; standard linear algebra.
  • domain assumption Castin et al. Theorem 3.3: self-attention is Lipschitz on bounded token sequences
    External theorem assumed in Proposition 3; restricts sequences to a ball B_r.
  • standard math Nair Theorem 1: softmax is 1/2-Lipschitz in l2
    External theorem used in the proof of Proposition 4.
  • domain assumption All tokens at each position share the same mean and positive standard deviation (Proposition 1)
    Needed for the LayerNorm upper bound; asserted from ImageNet normalization and the shared embedding layer, but not directly verified on downstream data.
  • domain assumption Images have bounded total energy E and token Frobenius norm is bounded by alpha*sqrt(E)
    Used in Proposition 4 to obtain a tighter attention bound; standard signal-processing assumption.
  • ad hoc to paper Weight norms allow comparing upper bounds: gamma entries comparable to W entries; spectral norms above 1
    Used to turn upper bounds into the declared ranking MHA>FC1~FC2>LN2~LN1; this is an informal magnitude assumption, not a theorem.

pith-pipeline@v1.3.0-alltime-deepseek · 45578 in / 12163 out tokens · 117164 ms · 2026-08-03T03:44:34.370680+00:00 · methodology

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Cite this review

Pith. "Pith review of Vision Transformer Finetuning Benefits from Non-Smooth Components." pith.science (2026). https://pith.science/paper/C43B7LBA

@misc{pith2026260206883,
  author       = {Pith},
  title        = {Pith review of: Vision Transformer Finetuning Benefits from Non-Smooth Components},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/C43B7LBA}},
  note         = {Machine review of arXiv:2602.06883}
}
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read the original abstract

The smoothness of the transformer architecture has been extensively studied in the context of generalization, training stability, and adversarial robustness. However, its role in transfer learning remains poorly understood. In this paper, we analyze the ability of vision transformer components to adapt their outputs to changes in inputs, or, in other words, their \emph{plasticity}. Defined as an average rate of change, it captures the sensitivity to input perturbation; in particular, a high plasticity implies a low smoothness. Our theoretical analysis and extensive experiments -- over $1,000$ finetuning runs on large-scale vision transformers -- showcase that this perspective provides principled guidance in choosing the components to prioritize during adaptation. A key takeaway for practitioners is that the high plasticity of the attention modules and feedforward layers consistently leads to better finetuning performance. Our findings depart from the prevailing assumption that smoothness is desirable, offering a novel perspective on transformers' functional properties. The code is available at https://github.com/ambroiseodt/vit-plasticity.

Figures

Figures reproduced from arXiv: 2602.06883 by Ambroise Odonnat, Ievgen Redko, Laetitia Chapel, Romain Tavenard.

Figure 1
Figure 1. Figure 1: Non-smooth components facilitate finetuning. We illustrate the benefits of a high plasticity during the finetuning of ViT-Base on Cifar10 (values normalized to [0, 1]). Smooth modules like LayerNorm (top left) have low and steady rates of change, resulting in low plasticity (see Definition 1). This constrains the gradient norms during the optimization, leading to a slow descent on the loss landscape (botto… view at source ↗
Figure 2
Figure 2. Figure 2: Overview of our contributions. We conduct a comprehensive analysis of vision transformer components (left) through the perspective of their plasticity (Definition 1). Our theoretical analysis allows us to rank modules in terms of their plasticity (Section 4). Experiments on large-scale ViTs support our theoretical insights (Section 5.1), as shown by the distribution of plasticity over all benchmarks (middl… view at source ↗
Figure 3
Figure 3. Figure 3: Plasticity analysis on Sketch. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follows the theoretical ranking of Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a plasticity below 1. The same… view at source ↗
Figure 4
Figure 4. Figure 4: Benefits of plasticity on Sketch. Transformer components are ordered in terms of decreasing plasticity. We can see that the performance across learning rates and seeds (left) is better and more stable for plastic components. This can be understood by looking at the evolution of the gradient norms (middle) and the validation loss (right) throughout training: we can see that the higher plasticity, the larger… view at source ↗
Figure 5
Figure 5. Figure 5: ViT-Base Implementation. 25 [PITH_FULL_IMAGE:figures/full_fig_p025_5.png] view at source ↗
Figure 6
Figure 6. Figure 6: Plasticity upper bounds on ViT-Base. The sequence length is n = 197, the number of heads is H = 12 and the average radius is computed over input sequences x = (x1, . . . , xn) as r = q 1 n Pn i=1 ∥xi∥ 2. We obtain a value of r = 19.4. We can see that the attention module has the highest plasticity, followed by the first and second feedforward layers, the LayerNorm preceding the feedforward, and finally the… view at source ↗
Figure 7
Figure 7. Figure 7: Plasticity analysis on Cifar10. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a plas… view at source ↗
Figure 8
Figure 8. Figure 8: Plasticity analysis on Cifar100. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a pla… view at source ↗
Figure 9
Figure 9. Figure 9: Plasticity analysis on Contrast. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a pla… view at source ↗
Figure 10
Figure 10. Figure 10: Plasticity analysis on Gaussian Noise. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, wit… view at source ↗
Figure 11
Figure 11. Figure 11: Plasticity analysis on Motion Blur. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a… view at source ↗
Figure 12
Figure 12. Figure 12: Plasticity analysis on Snow. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a plasti… view at source ↗
Figure 13
Figure 13. Figure 13: Plasticity analysis on Speckle Noise. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with… view at source ↗
Figure 14
Figure 14. Figure 14: Plasticity analysis on Clipart. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a pla… view at source ↗
Figure 15
Figure 15. Figure 15: Plasticity analysis on Flowers102. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a … view at source ↗
Figure 16
Figure 16. Figure 16: Plasticity analysis on Pet. The distribution of rates of change ∥f(x) − f(y)∥F/∥x − y∥F on ViT-Base (left) follow the upper bound ranking predicted by our theory in Section 4. We observe along transformer blocks of ViT-Base (middle) that the attention module has the highest plasticity P(f), followed by the first and second linear layers of the feedforward. The LayerNorms are the most rigid, with a plastic… view at source ↗
Figure 17
Figure 17. Figure 17: Better performance (11 benchmarks). We compare transformer components, ordered in terms of decreasing plasticity, and report the average top-1 accuracy over a diverse set of 11 benchmarks, with the pooled standard error computed over 3 finetuning runs. We can see that high plasticity results in better performance. 34 [PITH_FULL_IMAGE:figures/full_fig_p034_17.png] view at source ↗
Figure 18
Figure 18. Figure 18: Robustness comparison (11 benchmarks). We display the distribution of the finetuning performance over the learning rates from [PITH_FULL_IMAGE:figures/full_fig_p035_18.png] view at source ↗
Figure 19
Figure 19. Figure 19: Training dynamics on Cifar10 with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p036_19.png] view at source ↗
Figure 20
Figure 20. Figure 20: Training dynamics on Cifar10 with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p037_20.png] view at source ↗
Figure 21
Figure 21. Figure 21: Training dynamics on Cifar10 with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p037_21.png] view at source ↗
Figure 22
Figure 22. Figure 22: Training dynamics on Cifar100 with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p038_22.png] view at source ↗
Figure 23
Figure 23. Figure 23: Training dynamics on Cifar100 with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p038_23.png] view at source ↗
Figure 24
Figure 24. Figure 24: Training dynamics on Cifar100 with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p039_24.png] view at source ↗
Figure 25
Figure 25. Figure 25: Training dynamics on Contrast with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p039_25.png] view at source ↗
Figure 26
Figure 26. Figure 26: Training dynamics on Contrast with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p040_26.png] view at source ↗
Figure 27
Figure 27. Figure 27: Training dynamics on Contrast with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p040_27.png] view at source ↗
Figure 28
Figure 28. Figure 28: Training dynamics on Gaussian Noise with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p041_28.png] view at source ↗
Figure 29
Figure 29. Figure 29: Training dynamics on Gaussian Noise with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p041_29.png] view at source ↗
Figure 30
Figure 30. Figure 30: Training dynamics on Gaussian Noise with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p042_30.png] view at source ↗
Figure 31
Figure 31. Figure 31: Training dynamics on Motion Blur with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p042_31.png] view at source ↗
Figure 32
Figure 32. Figure 32: Training dynamics on Motion Blur with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p043_32.png] view at source ↗
Figure 33
Figure 33. Figure 33: Training dynamics on Motion Blur with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p043_33.png] view at source ↗
Figure 34
Figure 34. Figure 34: Training dynamics on Snow with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p044_34.png] view at source ↗
Figure 35
Figure 35. Figure 35: Training dynamics on Snow with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p044_35.png] view at source ↗
Figure 36
Figure 36. Figure 36: Training dynamics on Snow with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p045_36.png] view at source ↗
Figure 37
Figure 37. Figure 37: Training dynamics on Speckle Noise with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p045_37.png] view at source ↗
Figure 38
Figure 38. Figure 38: Training dynamics on Speckle Noise with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p046_38.png] view at source ↗
Figure 39
Figure 39. Figure 39: Training dynamics on Speckle Noise with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p046_39.png] view at source ↗
Figure 40
Figure 40. Figure 40: Training dynamics on Clipart with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p047_40.png] view at source ↗
Figure 41
Figure 41. Figure 41: Training dynamics on Clipart with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p047_41.png] view at source ↗
Figure 42
Figure 42. Figure 42: Training dynamics on Clipart with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p048_42.png] view at source ↗
Figure 43
Figure 43. Figure 43: Training dynamics on Sketch with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p048_43.png] view at source ↗
Figure 44
Figure 44. Figure 44: Training dynamics on Sketch with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p049_44.png] view at source ↗
Figure 45
Figure 45. Figure 45: Training dynamics on Sketch with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p049_45.png] view at source ↗
Figure 46
Figure 46. Figure 46: Training dynamics on Pet with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p050_46.png] view at source ↗
Figure 47
Figure 47. Figure 47: Training dynamics on Pet with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p050_47.png] view at source ↗
Figure 48
Figure 48. Figure 48: Training dynamics on Pet with seed 3407. Akin to [PITH_FULL_IMAGE:figures/full_fig_p051_48.png] view at source ↗
Figure 49
Figure 49. Figure 49: Training dynamics on Flowers102 with seed 0. We display the evolution during training of the gradient norms (top) and the validation loss (bottom) of each finetuning configuration of [PITH_FULL_IMAGE:figures/full_fig_p051_49.png] view at source ↗
Figure 50
Figure 50. Figure 50: Training dynamics on Flowers102 with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p052_50.png] view at source ↗
Figure 51
Figure 51. Figure 51: Training dynamics on Flowers102 with seed 42. Akin to [PITH_FULL_IMAGE:figures/full_fig_p052_51.png] view at source ↗

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