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REVIEW 3 major objections 6 minor 14 references

Foundations of Unknown-aware Machine Learning

T0 review · 3 major / 6 minor · reviewed 2026-08-07 · deepseek-v4-flash

Pith's one-line read The thesis claims that models can reliably detect out-of-distribution inputs and LLM hallucinations without any labeled data for the unknown, by synthesizing virtual outliers and using unlabeled wild data.

desk verdict A monograph-style dissertation compiling the author's previously published OOD detection and hallucination detection papers; strong empirical and theoretical components, but no new results, and SAL's formal guarantee is conditional on wild data matching test-time OOD. read the letter →

arxiv 2505.14933 v1 pith:XAIUHXUG submitted 2025-05-20 cs.LG

classification cs.LG
keywords out-of-distributiondetectionunknown-awarelearningvirtualoutliersynthesisunlabeledwilddatahallucinationlargelanguagemodelsrepresentationsingularvaluedecomposition
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

This thesis argues that machine learning models can be made reliably aware of what they do not know without any labeled examples of the unknown. It develops a family of unknown-aware learning methods that synthesize virtual outliers during training, use unlabeled in-the-wild data at deployment, and extend the same logic to detecting hallucinations in large language models. If the thesis is right, out-of-distribution detection no longer requires costly outlier datasets, because models can learn conservative decision boundaries from data they can collect for free. The strongest empirical demonstrations are near-perfect OOD detection on CIFAR-100 (1.88% average FPR95) and hallucination detection on TruthfulQA that approaches the supervised upper bound (78.64% versus 81.04% AUROC).

What carries the argument

The central object is the low-likelihood outlier: a sample drawn from a region where the in-distribution density is very small, which the model is trained to assign high uncertainty. VOS samples these from class-conditional Gaussians in feature space; Dream-OOD samples them from a text-conditioned latent space and decodes them into images with a diffusion model; SIREN shapes representations into compact von Mises-Fisher clusters so that distance-based detection works at the object level. For unlabeled wild data and LLM generations, the same separation role is played by a singular-value-decomposition score: SAL projects gradients onto the top singular vector of a gradient matrix to single out candidate OOD samples, and HaloScope projects LLM embeddings onto a hallucination subspace to estimate truthful versus hallucinated membership.

What would settle it

A concrete check: train on CIFAR-100 with SAL using a wild mixture of CIFAR-100 and Textures, then evaluate on an OOD dataset made of adversarially perturbed CIFAR-100 images; if ERRout and FPR95 are not small, the (gamma, zeta)-discrepancy condition fails and the core generalization bound does not apply.

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Extended reading notes

Core claim

The central claim is that unknown-aware learning, which jointly optimizes in-distribution accuracy and reliability toward unseen inputs, can be realized by contrasting the model against informative unknowns that do not require human annotation. On the thesis's own terms, models trained with empirical risk minimization are overconfident on out-of-distribution inputs because their decision boundaries are not conservative; synthesizing virtual outliers from the low-likelihood region of the feature distribution, or separating candidate outliers from unlabeled wild mixtures, makes the boundary conservative. The thesis further claims these methods are not merely heuristic: SAL provides provable error bounds for filtering and for the OOD classifier, and empirically establishes state-of-the-art results, while HaloScope shows that the membership-estimation idea transfers to LLM hallucination detection with unlabeled generations.

Load-bearing premise

The argument rests on the premise that the synthetic outliers or the unlabeled wild data actually resemble the unknown inputs the model will encounter at test time; if the real OOD distribution is unlike anything in those mixtures, the learned boundary will not transfer.

Editorial extensions

If this is right

  • OOD detection can be improved without any labeled OOD data: VOS reaches AUROC 88.70% on COCO for object detectors trained on PASCAL-VOC, approaching Outlier Exposure (90.18%) that uses real outlier images.
  • Unlabeled wild data, freely collected at deployment, is provably useful: SAL bounds the filtering errors and the OOD classifier's generalization error, then achieves 1.88% average FPR95 on CIFAR-100.
  • The same membership-separation logic carries to foundation models: HaloScope detects LLM hallucinations from unlabeled generations, reaching 78.64% AUROC on TruthfulQA versus 81.04% for a supervised upper bound.
  • Representation shaping makes distance-based OOD detection work for object detectors across architectures: SIREN improves AUROC by 22.53% over OW-DETR on PASCAL-VOC with deformable DETR.
  • Reliability risk can be added to the training objective as a regularizer without sacrificing in-distribution accuracy: VOS and SIREN report mAP on the ID task equal to or better than the vanilla model.

Reading between the lines

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

  • This suggests a general recipe: reliability against unknowns can be trained by contrasting in-distribution data with counterexamples that are synthesized or collected for free, so the research bottleneck shifts from annotation to choosing the right counterexample distribution.
  • The SAL theory implies a practical diagnostic: before trusting a wild-data deployment, one could empirically estimate the (gamma, zeta)-discrepancy between the wild data and the labeled ID distribution, because the guaranteed error bounds no longer apply when that discrepancy is small.
  • HaloScope's subspace-projection membership score is a natural candidate for other unlabeled mixture problems, such as detecting prompt injection or filtering biased alignment data, which the thesis itself begins to explore.
  • A testable extension would apply the same low-likelihood outlier synthesis to structured domains like time-series or tabular anomaly detection, where a Gaussian or kernel density model in feature space is equally easy to estimate.
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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 dissertation advances a program of 'unknown-aware machine learning,' in which models are trained to recognize out-of-distribution (OOD) inputs and LLM hallucinations without labeled OOD data. Chapters 4–6 present outlier-synthesis methods (VOS, Dream-OOD, SIREN) for image- and object-level OOD detection; Chapter 8 introduces SAL, an algorithmic and theoretical framework that uses unlabeled wild data to train an OOD classifier; Chapter 10 presents HaloScope for hallucination detection from unlabeled LLM generations. The thesis claims both strong empirical results on standard benchmarks (e.g., SAL 1.88% average FPR95 on CIFAR-100 with wild data) and, for SAL, formal guarantees on filtering error and OOD classifier generalization under a discrepancy condition between the wild mixture and the in-distribution data.

Significance. The individual methods are technically solid: most chapters ship code, report multiple runs for main tables, and compare against external baselines on standard benchmarks. SAL's theoretical analysis is detailed and self-contained, with proofs deferred to the appendix, and it addresses a genuinely open question about when unlabeled wild data provably helps OOD detection. HaloScope demonstrates a practical, annotation-free route to hallucination detection that comes close to a supervised upper bound on TruthfulQA. These are meaningful contributions. The significance is limited by two factors. First, the formal guarantee in SAL is verified only in a matched setting where the wild-data OOD component and the test OOD distribution are the same; the manuscript's broader claim of handling 'unforeseen inputs' extends beyond the proven regime. Second, the thesis is largely a compilation of the author's prior papers, and the 'foundations' framing is not supported by a new unifying theoretical principle beyond the collected results.

major comments (3)
  1. [§8.3.1, Theorem 8.1 and Appendix 12.4.18] The load-bearing premise of the SAL theory is the (γ, ζ)-discrepancy condition between Pwild and PXY, on which both the filtering-error bound (Eqs. 8.7–8.8) and the OOD-classifier bound (Theorem 8.3) depend. The verification in Appendix 12.4.18, Table 12.17 computes ζ only for wild mixtures whose OOD component is the same dataset used for evaluation (e.g., CIFAR-100 as ID, SVHN as wild and SVHN as test). The unseen-OOD experiments in Appendix 12.4.21 do not re-estimate ζ for the mismatched wild/test setting. Consequently, the abstract's statement that SAL provides 'formal reliability guarantees' for unforeseen inputs is not established; the guarantees are conditional on a distribution-match assumption that is not verified for the deployment scenarios the thesis emphasizes. Please either add an explicit statement of this limitation in the main text or provide a verification or analysis of the discrepancy condition for mismatched wild/test distributions.
  2. [§8.4.1 and Table 8.1] The headline empirical protocol in Section 8.4.1 constructs the wild mixture from the same OOD dataset used for testing: 'For each dataset, we create corresponding wild mixture distribution ... and test on the corresponding OOD dataset.' Thus the average FPR95 of 1.88% in Table 8.1 is a matched-setting result, not a demonstration of detection of truly unseen OOD data. The appendix's unseen-OOD results (Tables 12.20–12.21) are valuable, but they are not highlighted or connected to the theoretical conditions. The main text should clearly separate matched-setting results from unseen-OOD results and should not let the matched-setting numbers stand as evidence for the thesis's broad 'unknown-aware' claim.
  3. [Chapters 1, 3, 7, and 9] The title and abstract promise 'foundations' of unknown-aware learning, with 'formal reliability guarantees' as a general property of the framework. However, the thesis does not provide a unified formal model connecting the outlier-synthesis methods (VOS, Dream-OOD, SIREN), the wild-data method (SAL), and the hallucination-detection method (HaloScope). The theory in Chapter 8 applies only to SAL; the other chapters rely on separate heuristics and empirical evaluations. As a result, the 'foundations' claim overstates the degree of theoretical unification the manuscript actually delivers. I recommend either adding a synthesis section that states precisely which properties are shared by the methods and which are method-specific, or softening the foundational framing accordingly.
minor comments (6)
  1. [Algorithm 1, Chapter 4] The line 'Estimate the multivariate distributions based on ID training objects using Equation 1 and 4.2' should refer to Equations (4.1) and (4.2), not 'Equation 1'.
  2. [§4.3.2, Eq. (4.5)] The text describes the uncertainty regularization loss as 'completely hyperparameter-free,' but the overall objective in Eq. (4.7) includes the weight β, and the synthesis procedure uses a threshold t and queue size |Qk|. The claim should be scoped to the form of the loss function itself, not the method as a whole.
  3. [Tables 4.2, 5.2, 6.3, 10.3] Several ablation tables report only point estimates without standard deviations or a statement that they come from a single run. Since the main tables report multiple runs, please provide error bars or explicitly state the number of runs for each ablation.
  4. [Table 8.1] The WOODS row is typeset without clear separators between FPR95 and AUROC values (e.g., '0.1299.9629.58 90.60'), making the table difficult to read. Please reformat.
  5. [§10.1] The sentence 'we substantially improve the hallucination detection accuracy by 10.69% (AUROC) on a challenging TruthfulQA benchmark ... (78.64% vs. 81.04%)' is ambiguous about which number is HaloScope and which is the supervised upper bound; please clarify.
  6. [Chapter 8, Section 12.4.27] The analysis of using random labels for wild data is referenced in the main text but the term 'by˜x' in Eq. (8.3) is introduced without an explicit definition of how predicted labels are obtained from h_{w_{S_in}}; please state this in Section 8.2.1.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity: the thesis's methods and theorems are self-contained and benchmarked externally; self-citations are not load-bearing.

full rationale

I find no circular step in the derivation chain. Each contribution (VOS, Dream-OOD, SIREN, SAL, HaloScope) is evaluated against external baselines and held-out OOD or hallucination benchmarks, so the empirical claims do not reduce to the training inputs by construction. The SAL theory (Theorem 8.1 and Theorem 8.3) provides conditional guarantees under the (γ, ζ)-discrepancy assumption; verifying ζ on the wild mixtures used in experiments is a sanity check of the assumption, not a fitted parameter renamed as a prediction. VOS and Dream-OOD synthesize outliers from the in-distribution data itself, which is the intended mechanism rather than a circular reuse of test labels. SIREN's vMF score is consistent with its representation-shaping loss, but this is a standard density-based OOD detection design, not a self-referential derivation. The dissertation does cite the author's own prior papers extensively, but these citations are contextual and the substantive proofs and experiments are reproduced in the text. I therefore score 0: no prediction or formal result is equivalent to its own input by construction.

Assumptions & free parameters 6 free parameters · 5 assumptions · 0 invented entities

The thesis relies on several modeling assumptions: Gaussian or vMF feature distributions for outlier synthesis, a contamination model for wild data, and subspace assumptions for LLM activations. No new physical entities are introduced. Hyperparameters such as kernel variances and loss weights are tuned on validation sets.

free parameters (6)
  • t (VOS outlier threshold) = 1
    Chooses the t-th smallest likelihood in 10,000 Gaussian samples as the virtual outlier threshold; set to 1 for all experiments.
  • Queue size |Qk| (VOS) = 1000 per class
    Number of feature embeddings per class used for Gaussian mean/covariance estimation.
  • sigma^2 (Dream-OOD Gaussian kernel variance) = 0.03 (best across sweep)
    Controls deviation of synthesized outlier embeddings from ID anchors; swept over {0.02, 0.03, 0.04, 0.05, 0.06, 0.2}.
  • Beta (OOD regularization weight) = 1.0 (ImageNet-100), 2.5 (CIFAR-100) for Dream-OOD; 1.5 for SIREN
    Loss weight balancing OOD regularization vs ID accuracy; chosen by ablation.
  • Hypersphere dimension d (SIREN) = 16 or 64
    Projection head output dimension; chosen for stability and performance.
  • Mixing ratio pi (SAL) = 0.1
    Assumed fraction of OOD in unlabeled wild data; varied in appendix.
assumptions (5)
  • domain assumption Class-conditional Gaussianity of feature embeddings (VOS)
    VOS assumes p(h|y=k)=N(mu_k, Sigma) to sample virtual outliers from low-likelihood region; violated by many real feature spaces.
  • domain assumption Huber contamination model P_wild=(1-pi)P_in+pi*P_out (SAL)
    Unlabeled wild data is modeled as a known mixture of ID and OOD; pi is treated as known in theory.
  • domain assumption (gamma, zeta)-discrepancy condition between P_wild and P_XY (SAL)
    Theorem 8.1 requires P_wild has (gamma, zeta)-discrepancy; if not, the error bounds fail.
  • domain assumption Text-conditioned latent space alignment (Dream-OOD)
    Assumes CLIP token embeddings and image embeddings share a space where low-likelihood region corresponds to semantic outliers.
  • domain assumption Top singular vectors of LLM activations capture hallucination (HaloScope)
    Assumes the principal subspace of unlabeled generation activations is associated with untruthfulness.

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Cite this review

Pith. "Pith review of Foundations of Unknown-aware Machine Learning." pith.science (2026). https://pith.science/paper/XAIUHXUG

@misc{pith2026250514933,
  author       = {Pith},
  title        = {Pith review of: Foundations of Unknown-aware Machine Learning},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/XAIUHXUG}},
  note         = {Machine review of arXiv:2505.14933}
}
read the original abstract

Ensuring the reliability and safety of machine learning models in open-world deployment is a central challenge in AI safety. This thesis develops both algorithmic and theoretical foundations to address key reliability issues arising from distributional uncertainty and unknown classes, from standard neural networks to modern foundation models like large language models (LLMs). Traditional learning paradigms, such as empirical risk minimization (ERM), assume no distribution shift between training and inference, often leading to overconfident predictions on out-of-distribution (OOD) inputs. This thesis introduces novel frameworks that jointly optimize for in-distribution accuracy and reliability to unseen data. A core contribution is the development of an unknown-aware learning framework that enables models to recognize and handle novel inputs without labeled OOD data. We propose new outlier synthesis methods, VOS, NPOS, and DREAM-OOD, to generate informative unknowns during training. Building on this, we present SAL, a theoretical and algorithmic framework that leverages unlabeled in-the-wild data to enhance OOD detection under realistic deployment conditions. These methods demonstrate that abundant unlabeled data can be harnessed to recognize and adapt to unforeseen inputs, providing formal reliability guarantees. The thesis also extends reliable learning to foundation models. We develop HaloScope for hallucination detection in LLMs, MLLMGuard for defending against malicious prompts in multimodal models, and data cleaning methods to denoise human feedback used for better alignment. These tools target failure modes that threaten the safety of large-scale models in deployment. Overall, these contributions promote unknown-aware learning as a new paradigm, and we hope it can advance the reliability of AI systems with minimal human efforts.

Figures

Figures reproduced from arXiv: 2505.14933 by the authors.

Figure 1.1
Figure 1.1. (a) An object detection model trained on BDD-100k dataset (Yu et al., 2020) produces overconfident predictions for OOD objects (e.g., helicopter), highlighting reliability concerns in ML models during deployment. Test images are sampled from MS-COCO (Lin et al., 2014). (b) Overview of my proposed outlier synthesis framework for unknown-aware learning. tive models, including Large Language Models (LLMs) (OpenAI, 2023… view at source ↗
Figure 4.1
Figure 4.1. (a) A Faster-RCNN (Ren et al., 2015) model trained on BDD￾100k dataset (Yu et al., 2020) produces overconfident predictions for OOD object (e.g., moose). (b)-(c) The uncertainty measurement with and with￾out virtual outlier training. The in-distribution data x ∈ X = R 2 is sampled from a Gaussian mixture model). Regularizing the model with virtual outliers (c) better captures the OOD uncertainty than without (b). un… view at source ↗
Figure 4.2
Figure 4.2. The framework of VOS. We model the feature representation of ID objects as class-conditional Gaussians, and sample virtual outliers v from the low-likelihood region. The virtual outliers, along with the ID objects, are used to produce the uncertainty loss for regularization. The uncertainty estimation branch (Luncertainty) is jointly trained with the object detection loss (Lloc, Lcls). input x ∗ ∼ PX, as well as an … view at source ↗
Figures from the paper (32 more)
Figure 4.3
Figure 4.3. Figure 4.3: UMAP visualization of fea￾ture embeddings of PASCAL-VOC (on a subset of 10 classes). To estimate the parameters of the class-conditional Gaussian, we compute empirical class mean µbk and covariance Σb of training samples {(xi, bi, yi)} N i=1 : µbk = 1 Nk X i:yi=k h(x…
Figure 4.4
Figure 4.4. Figure 4.4: Visualization of detected objects on the OOD images (from [PITH_FULL_IMAGE:figures/full_fig_p054_4_4.png]
Figure 5.1
Figure 5.1. Figure 5.1: Top: Original ID training data in ImageNet (Deng et al., 2009). Bottom: Samples generated by our method Dream-ood, which deviate from the ID data. prove the OOD detection performance. On Imagenet dataset, training with samples generated by Dream-ood improves the OOD …
Figure 5.2
Figure 5.2. Figure 5.2: Illustration of our proposed outlier imagination framework Dream￾ood. Dream-ood first learns a text-conditioned space to produce compact image embeddings aligned with the token embedding T(y) of the diffusion model. It then samples new embeddings in the latent space,…
Figure 5.3
Figure 5.3. Figure 5.3: TSNE visualization of learned feature embeddings using L. Black dots indicate to￾ken embeddings, one for each class. Specifically, denote hθ : X 7→ Rm as a feature encoder that maps an input x ∈ X to the image embedding hθ(x), and T : Y 7→ Rm as the text encoder that…
Figure 5.4
Figure 5.4. Figure 5.4: TSNE visualiza￾tion of ID embeddings (pur￾ple) and the sampled out￾lier embeddings (orange), for the class “hen" in Ima￾genet. Sampling OOD embedding. Our goal here is to sample low-likelihood embeddings based on the learned feature representations (see [PITH_FULL_I…
Figure 5.5
Figure 5.5. Figure 5.5: Visualization of the imagined outliers w.r.t. jellyfish, ladybug class under different variance σ 2 . OOD. Ablation on k in calculating k-NN distance. In [PITH_FULL_IMAGE:figures/full_fig_p071_5_5.png]
Figure 5.6
Figure 5.6. Figure 5.6: TSNE visu￾alization of ID embed￾dings (purple) and the synthesized inlier em￾beddings (orange), for class “hen” in Imagenet. Datasets. We use the same Imagenet-100 as the training data. We measure the generalization performance on both the original Imagenet test data…
Figure 5.7
Figure 5.7. Figure 5.7: (a) Ablation study on the regularization weight β on Lood. (b) Ablation on the variance σ 2 for synthesizing outliers in Section 5.3.2. (c) Ablation on the k for the k-NN distance. The numbers are AUROC. The ID training dataset is Imagenet-100. (↑0.74% vs. the best o…
Figure 6.1
Figure 6.1. Figure 6.1: (a) Feature embeddings from the penultimate layer of a vanilla [PITH_FULL_IMAGE:figures/full_fig_p077_6_1.png]
Figure 6.2
Figure 6.2. Figure 6.2: Overview of the proposed learning framework Siren. We introduce a new loss LSIREN which shapes the representations on the unit hypersphere into compact class-conditional vMF distributions. The em￾bedding r ∈ R d has unit norm ∥r∥ 2 = 1. In testing, we can employ eith…
Figure 6.3
Figure 6.3. Figure 6.3: The uncertainty surface is cal￾culated using our vMF score (a) and the Mahalanobis distance (b). We showcase one class for visual clarity. Remark 1. Different from Ma￾halanobis distance (Lee et al., 2018b), our parametric vMF￾based OOD detection score oper￾ates under…
Figure 6.4
Figure 6.4. Figure 6.4: (a) Ablation study on using different fixed values of concen [PITH_FULL_IMAGE:figures/full_fig_p091_6_4.png]
Figure 6.5
Figure 6.5. Figure 6.5: Visualization of detected objects on the OOD images (from [PITH_FULL_IMAGE:figures/full_fig_p094_6_5.png]
Figure 8.1
Figure 8.1. Figure 8.1: (a) Visualization of the gradient vectors, and their projection onto the top singular vector v (in gray dashed line). The gradients of inliers from S in wild (colored in orange) are close to the origin (reference gradient ∇¯ ). In contrast, the gradients of outliers …
Figure 8.2
Figure 8.2. Figure 8.2: Example of SAL on two different scenarios of the unlabeled wild data. (a) Setup of the ID/inlier S in wild and OOD/outlier data S out wild in the wild. The inliers are sampled from three multivariate Gaussians. We construct two different distributions of outliers (se…
Figure 9.1
Figure 9.1. Figure 9.1: Proposed algorithmic frameworks for hallucination detection [PITH_FULL_IMAGE:figures/full_fig_p116_9_1.png]
Figure 10.1
Figure 10.1. Figure 10.1: Illustration of our proposed framework HaloScope for hallucination detection, leveraging unlabeled LLM generations in the wild. HaloScope first identifies the latent subspace to estimate the membership (truthful vs. halluci￾nated) for samples in unlabeled data M and…
Figure 10.2
Figure 10.2. Figure 10.2: Visualization of the representations for truthful (in or￾ange) and hallucinated samples (in purple), and their projection onto the top singular vector v1 (in gray dashed line). Membership estimation via latent subspace. To gain insight, we begin with a special case …
Figure 10.3
Figure 10.3. Figure 10.3: (a) Generalization across four datasets, where “(s)" denotes the source dataset and “(t)" denotes the target dataset. (b) Effect of the number of subspace components k (Section 10.3.2). (c) Impact of different layers. All numbers are AUROC based on LLaMA-2-7b-chat. …
Figure 10.4
Figure 10.4. Figure 10.4: Comparison with using direction projection for hallucination detection. Value is AUROC. What if directly using the membership score for detection? [PITH_FULL_IMAGE:figures/full_fig_p134_10_4.png]
Figure 10.5
Figure 10.5. Figure 10.5: Comparison with ideal performance when train￾ing on labeled data. Comparison with training on labeled data. We further benchmark our ap￾proach against a supervised oracle, where each generation in M is explicitly labeled as truthful or hallucinated similar to (Azari…
Figure 12.1
Figure 12.1. Figure 12.1: Additional visualization of detected objects on the OOD [PITH_FULL_IMAGE:figures/full_fig_p144_12_1.png]
Figure 12.2
Figure 12.2. Figure 12.2: Additional visualization of detected objects on the OOD [PITH_FULL_IMAGE:figures/full_fig_p145_12_2.png]
Figure 12.3
Figure 12.3. Figure 12.3: Additional visualization of detected objects on the OOD [PITH_FULL_IMAGE:figures/full_fig_p146_12_3.png]
Figure 12.4
Figure 12.4. Figure 12.4: Additional visualization of detected objects on the OOD [PITH_FULL_IMAGE:figures/full_fig_p147_12_4.png]
Figure 12.5
Figure 12.5. Figure 12.5: Visualization of learnable weight coefficient in the generalized [PITH_FULL_IMAGE:figures/full_fig_p149_12_5.png]
Figure 12.6
Figure 12.6. Figure 12.6: Visualization of the imageined outliers for the beaver, apron, strawberry class with different variance values σ 2 . 12.2.4 Visualization of Outlier Generation by Embedding Interpolation We visualize the generated outlier images by interpolating token embed￾dings fr…
Figure 12.7
Figure 12.7. Figure 12.7: Visualization of the generated outlier images by interpolat￾ing token embeddings from different classes. We show the results with different interpolation weights α. effective in regularizing the model’s decision boundary. 12.2.6 Comparison with Training w/ real Outl…
Figure 12.8
Figure 12.8. Figure 12.8: Visualization of the generated outlier images by adding Gaussian and learnable noise to the token embeddings from different classes. based generation produces object-centric and distributionally dissimilar images from the original dataset. In contrast, our approach …
Figure 12.9
Figure 12.9. Figure 12.9: Visual comparison between our Dream-id vs. prompt￾based image generation on four different classes [PITH_FULL_IMAGE:figures/full_fig_p156_12_9.png]
Figure 12.10
Figure 12.10. Figure 12.10: Distribution of membership estimation score. We show in [PITH_FULL_IMAGE:figures/full_fig_p214_12_10.png]

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Pith tools

Reviewed August 7, 2026 · model on record in the stance chip above.