NeurIPS 2026 论文列表

Conference on Neural Information Processing Systems

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6,437篇论文

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When to Inject the Target: Stage-Decoupled Guidance for Diffusion-Based Targeted Adversarial Attacks

JUNFENG YU, Junkai Bao, Hao Zeng, XIAOWEN MO, Xin Liu, Xuejian Huang

展开摘要

Diffusion-based generative attacks have emerged as a promising paradigm for targeted adversarial example generation, leveraging generative priors to improve transferability and visual fidelity. However, existing methods typically entangle image reconstruction and target manipulation within the same reverse denoising trajectory, where target guidance can disrupt early structural recovery. This coupling creates a persistent trade-off among attack effectiveness, transformation robustness, and perceptual fidelity. In this paper, we propose SDTI (Stage Decoupled Target Injection), a stage-decoupled reverse diffusion framework that separates source-structure preservation from adversarial target injection along the denoising timeline. SDTI first maps the input image to an intermediate latent through null-text DDIM inversion, then recovers and anchors the source structure with a frozen null-text denoising prefix, and finally activates target-conditioned LoRA guidance only in the late denoising suffix to inject adversarial target semantics. To confine adversarial optimization to this suffix phase, we further introduce suffix-wise supervision with inter-step gradient truncation. Extensive experiments on ImageNet-NeurIPS, robust victim models, common input transformations, and MS-COCO cross-domain transfer show that SDTI achieves a favorable attack--fidelity--robustness trade-off, improving transformation robustness and perceptual quality while maintaining competitive targeted transferability. The code is available at: https://anonymous.4open.science/r/AY_code-1431.

Poster
When and Why Adversarial Training Improves PINNs: A Neural Tangent Kernel Perspective

Yuandong Cao, Chi C So, Jun-Min Wang, He Wang

展开摘要

Physics-informed neural networks (PINNs) are powerful surrogates for differential equations but are notoriously difficult to train due to spectral bias, stiffness, and poor accuracy on high-frequency or multiscale solutions. Adversarial training based on generative adversarial networks (GANs) has recently gained surprisingly strong empirical results in improving training, but the underlying mechanisms remain elusive. To this end, we propose a new analysis framework for adversarially trained PINNs, based on the key observation of how the discriminator in GANs can influence the training dynamics of PINNs. The framework first provides a much needed theoretical grounding to why and when adversarial training is effective in PINNs, then presents a unified analysis of GANs variants in such training, and finally leads to a new, practical, efficient training algorithm for PINNs. Empirical results demonstrate that our method can significantly reduce the pathology of PINNs training, thereby providing better models with superior performances, often several magnitudes more accurate than alternative methods.

Poster
When Uncertainty Is the Target: Adversarial Attacks on Uncertainty-Aware Predictors

A Q M Sazzad Sayyed, Michele Caprio, Nathaniel D. Bastian, Francesco Restuccia

展开摘要

As machine learning becomes increasingly deployed in high-stakes scenarios, studying adversarial vulnerability of uncertainty-aware models has become a compelling necessity. In this paper, we focus on adversarial attacks that manipulate predictive uncertainty rather than model predictions. We focus on predictors that decompose uncertainty into aleatoric uncertainty (AU) and epistemic uncertainty (EU) and formalize uncertainty vulnerability as the maximum increase in AU achievable under a stealth constraint where the EU is kept below a threshold. This framing yields three complementary findings. First, we theoretically show that knowledge of the baseline EU can enlarge the attacker's feasible stealth region and increase the maximal achievable increase in AU. Second, a first-order analysis reveals that vulnerability is governed by the component of the AU gradient orthogonal to EU, enabling stealthy manipulation. Third, contrary to standard margin-based intuition, vulnerability peaks at moderate margins. Experiments across MNIST, CIFAR-10, and CIFAR-100 with standard architectures show that the proposed attack achieves non-trivial aleatoric damage while maintaining zero epistemic-stealth violation (e.g., mean AU increase of 0.0286, 0.0853, and 0.1568, respectively), whereas unconstrained uncertainty attacks violate the stealth constraint on over 90% of samples. Experiments indicate that the largest damage typically occurs in an intermediate uncertainty regime rather than at the extremes. Furthermore, consistent with our theoretical analysis, feasible attackability collapses under increasing epistemic uncertainty (e.g., mean attackability decreases from 0.0363 to 0). Overall, these results intimately connect uncertainty decomposition to adversarial geometry.

Poster
When Think-with-Image Meets Safety: What Determines Multimodal Jailbreak Robustness?

Yuan Tian, Bing Hu, Fang Wu, Xiaomin Li, Binghang Lu, Neil Gong

展开摘要

Think-with-image reasoning is emerging as a new inference paradigm for large vision-language models, but its safety implications remain poorly understood. Existing systems already span multiple process designs, including direct response generation, text-only prior turn, visual-state manipulation, and explicit external image-tool invocation. In this paper, we ask which of these evaluated paradigms improves multimodal jailbreak robustness, and why. Across multiple vision-language models, explicit image-tool interaction yields the lowest attack success rates in our experiments, reducing jailbreak success by around 30\% relative on average across the evaluated models. This finding is initially surprising: ASR remains low even when the returned image-tool output is manually overridden or itself unsafe-looking, but returns near direct-answering levels under text-only prior turn controls. These results indicate that the lower ASR is not explained by benign returned-image semantics or by the textual image-tool trace alone. To explain the pattern, we introduce an image-tool safety vector framework that models image-tool invocation as a residual shift in hidden representations toward a safety-relevant direction. Representation-level analyses and activation interventions support this account. Overall, our results suggest that explicit image-tool interaction is a promising design pattern for improving jailbreak robustness, while also motivating pipeline-specific safety evaluation.

Poster
When Are Semivalue-Based Decisions Identifiable? Robust Data Selection under Utility Ambiguity

Hannah Diehl, Justin Steil, Ashia Wilson

展开摘要

Semivalues are widely used to assign credit and guide data curation decisions, yet their outputs depend on a utility function that is not uniquely determined by the task. We study partition-based decisions, which directly model data curation tasks such as selecting high-quality subsets or flagging noisy examples, under two structurally unavoidable sources of utility underspecification: monotone transformations of performance scores and unconstrained small-sample behavior. We formalize outcome robustness in this setting as invariance of the induced partition across admissible utility respecifications. We establish that partition robustness is necessary for guaranteed success of semivalue-based data selection. To assess this condition in practice, we provide algorithms that certify partition robustness or produce a concrete witness utility demonstrating instability, requiring no utility evaluations beyond those already computed for the semivalues themselves, with formal correctness guarantees under both exact and approximate computation. We show that utilities admitting a coalitionally dominant top-$k$ subset, where high-quality points contribute more than low-quality points across every possible coalition, guarantee robust partition decisions, subsuming the modular utility case previously identified as sufficient. Together, these results provide a practical framework for determining when semivalue-based selection is well-defined under utility ambiguity.

Poster
Variational Cover Modification Steganography

Martin Benes, Rainer Böhme

展开摘要

Current approaches to learning-based image steganography are, at best, imperceptible, but their security is vulnerable to state-of-the-art detector networks. Variational cover modification steganography tackles this problem by training a generator network that can predict the parameters of the distribution of the least detectable stego-noise for a given cover image. It uses syndrome coding to embed the message within the distribution constraint and retrieve it exactly when a secret key is provided. Adversarial learning ensures that the generator evolves against a continuously refined detector. Experiments demonstrate significant security improvements, and several ablations support the generator architecture and the training protocol.

Poster
Universal Cross-Prompt Adversarial Attacks on Promptable Concept Segmentation

Ziqi Zhou, Haowen Jiang, Yifan Hu, Xianlong Wang, Yufei Song, Shengshan Hu, Dezhong Yao, Leo Yu Zhang

展开摘要

The Segment Anything Model (SAM) achieves remarkable performance in visual segmentation. The latest SAM3 extends promptable segmentation to concept-level prediction, broadening the scope of segmentation foundation models. While recent works reveal that SAM and SAM2 are vulnerable to adversarial examples, the robustness of SAM3 under the concept segmentation paradigm remains unexplored. In addition, existing adversarial attacks on SAM-series models exhibit limited cross-prompt transferability. To this end, we propose AdvPCS, a universal cross-prompt adversarial attack for Promptable Concept Segmentation (PCS), including a min-max prompt optimization strategy, a global–local perception deception attack, and a temporal transition deviation attack. Specifically, we first identify the hardest-to-attack prompts via min-max bilevel optimization. In the inner maximization, we enhance diversity over candidate point, box, and text prompts. In the outer minimization, we select prompts with the highest responses based on the confidence scores output by the detector. Given the selected prompts, we apply the perception deception attack to minimize both global and local existence probabilities under joint prompting, and employ the temporal memory misalignment attack to maximize inter-frame semantic inconsistency and corrupt memory pointers. Extensive experiments on four benchmark datasets show that a single universal adversarial perturbation (UAP) generated by our method generalizes across frames from different videos and achieves strong attack performance under point, box, and text prompts. In particular, it reduces the average mIoU of various PCS models on the SA-CO dataset to below 5%, demonstrating strong attack ability.

Poster
Token by Token, Compromised: Backdoor Vulnerabilities in Unified Autoregressive Models

Tobias Braun, Jonas Grebe, Hossein Shakibania, Anna Rohrbach, Marcus Rohrbach

展开摘要

Unified autoregressive models (UAMs) are transformer models that generate text as well as image tokens within a single autoregressive pass. Shared parameters and a multimodal vocabulary simplify the training pipeline and facilitate flexible multimodal generation, yet might introduce new vulnerabilities. In particular, we are the first to show that this unified architecture enables multimodal backdoor attacks, where a trigger can propagate malicious effects across multiple output modalities. Specifically, we present the Token by Token Backdoor Attack (ToBAC), the first backdoor attack targeting UAMs, exploring both data-based and model-based poisoning strategies. We demonstrate that innocuous characters or even common words can be transformed into triggers that elicit harmful behavior in autoregressive image generation. ToBAC can jointly manipulate visual outputs and accompanying text, increasing the perceived authenticity of fabricated content. With model access, ToBAC enables attacks on the unified Liquid model in which a subtle word (e.g., ``cool'') induces modality-aligned brand promotion or ideological influence in 55% of generations. Without model access, ToBAC can be induced through data poisoning, achieving an average success rate of 63.1% against JanusPro.

Poster
The Web Doesn't Sit Still: Adversarial Self-Evolving Attacks on Search Agents

Geyuan Wang, Shunyu Liu, Siyuan Liang, Chenyang Lyu, Dacheng Tao

展开摘要

Large Language Models (LLMs) have shown promise for empowering search agents to tackle complex information-seeking tasks. However, since acquiring external information necessitates web search, these agents are highly susceptible to various adversarial attacks (e.g., malicious information injection or stealthy context manipulation). Existing attack strategies inevitably rely on static and human-crafted templates, failing to emulate the dynamic and complex nature of real-world threats. In this paper, we propose an adversarial self-evolution framework that integrates bi-level optimization between the attacker's strategy evolution and the defender's adaptive mitigation, to expose the vulnerabilities of search agents. Specifically, we introduce the Contrastive Rollout Evolutionary Optimization (CREO) method to drive the directional evolution of the attack strategy population via contrastive evolutionary signals. To provide a stable environment for this continuous evolution, we further construct a controlled sandbox and design fine-grained metrics to quantify internal vulnerabilities. Extensive experiments across various multi-hop QA benchmarks and frontier LLMs demonstrate that the proposed framework yields attack efficacy superior to static baselines, underscoring the urgent need to develop more robust defense frameworks. The anonymized code repository is available at https://anonymous.4open.science/r/adversarial_rag-3EFA.

Poster
The Adversarial Gait: Detecting Visual Adversarial Attacks against Vision-Language Models via Self-Targeted Gradient Characterization

Mauricio Byrd Victorica, Ezzeldin Shereen, György Dán

展开摘要

Visual adversarial examples are a well-known vulnerability of deep learning (DL) systems. The emergence of vision-language models (VLMs) further expands the attack surface through multimodal interactions. Despite extensive research on adversarial defenses over the past decade, existing works on VLM robustness often overlook adaptive white-box attacks, where the adversary has full access to both the model and the defense mechanism. We show that recent defenses can be effectively bypassed under such adaptive settings and propose \method, an adaptive test-time detection method that leverages gradient information induced by a self-targeted attack maximizing the likelihood of the VLM’s generated output. Our approach consistently outperforms existing defenses across multiple victim VLMs, attack formulations, and benchmark datasets. Our code is open-source and available online.

Poster
Test-Time Defense Against Adversarial Attacks via Stochastic Resonance of Latent Ensembles

Dong Lao, Yuxiang Zhang, Haniyeh E Oskouie, Yangchao Wu, Alex Wong, Stefano Soatto

展开摘要

We propose a test-time defense mechanism against adversarial attacks: Unlike existing methods that rely on feature filtering or smoothing, which can lead to information loss, we propose to ``combat noise with noise'' by leveraging stochastic resonance to enhance robustness while minimizing information loss. Our approach introduces small translational perturbations to the input image, aligns the transformed feature embeddings, and aggregates them before mapping back to the original reference image. This can be expressed in a closed-form formula, which can be deployed on diverse existing network architectures without introducing additional network modules or fine-tuning for specific attack types. The resulting method is entirely training-free, architecture-agnostic, and attack-agnostic. Empirically, the method achieves state-of-the-art robustness on image classification and provides the first generic test-time defense for dense prediction tasks, including stereo matching, optical flow, and monocular depth estimation. Across adversarial attacks, it recovers up to 68.1% of the accuracy loss on image classification, 71.9% on stereo matching (MAE), 29.2% on optical flow (EPE), 68.3% on depth estimation (SqRel), and 83.8% on vision-language alignment (cosine similarity).

Poster
Synthetic Pre-Pre-Training Improves Language Model Robustness to Noisy Pre-Training Data

Xu Guo, Runyu Peng, Jian Tong, Yunhua Zhou, Haijun Lv, Zhihui Lu, Qipeng Guo

展开摘要

Large language models (LLMs) rely on web-scale corpora for pre-training. The noise inherent in these datasets tends to obscure meaningful patterns and ultimately degrade model performance. Data curation mitigates but cannot eliminate such noise, so pre-training corpora remain noisy in practice. We therefore study whether a lightweight pre-pre-training (PPT) stage based on synthetic data with learnable temporal structure helps resist noisy data during the pre-training (PT) stage. % Concretely, we draw PPT sequences from many randomly initialized RNNs and keep the PT recipe unchanged. Across various corruption settings, our method consistently improves robustness to noise during PT, with larger relative gains at higher noise levels. % The gains generalize across corruption types and naturally noisy web corpora. For a 1B-parameter model, a synthetic PPT stage with only 65M tokens achieves the same final loss as the baseline while using up to 49% fewer natural-text PT tokens across different noise levels. Mechanistic analyses suggest PPT does not immediately suppress attention to noisy tokens. Rather, PPT-initialized models gradually downweight attention between corrupted tokens during noisy PT. This indicates that synthetic PPT inhibits noise self-modeling and shapes the subsequent optimization trajectory.

Poster
SynDORBench: Evaluating LVLM Perceptual Robustness Under Physically Constrained Visibility Conditions

Jeremy S G Yee, Daniel Zhengkui Wang, Zhiyuan Zhang, Avinash Anand, Timothy Liu, Benedict Chan, Aik B Ng, Simon See

展开摘要

Large vision-language models (LVLMs) have demonstrated remarkable performance on multimodal reasoning benchmarks, yet their perceptual reliability under physically constrained imaging conditions remains poorly understood. Existing evaluations predominantly assume ideal visual inputs and therefore fail to characterize how camera distance, illumination, viewpoint, and pixel density fundamentally affect semantic recoverability. We introduce SynDORBench, the first physically grounded benchmark for evaluating LVLM perceptual robustness under DORI-calibrated conditions aligned with human visual capability standards. SynDORBench comprises over 54k question--answer pairs generated through a controllable synthetic pipeline that systematically varies viewing distance, lighting, camera geometry, and action pose according to physically interpretable pixel-density regimes. To support scalable low-visibility supervision, we further propose a discernibility annotation framework that propagates human perceptual labels using mask-conditioned statistical features and ensemble learning. We evaluate 16 open-source LVLMs, a commercial LVLM baseline, and YOLO11x across human-presence classification and action recognition tasks under progressively degraded visibility conditions. Our results reveal that perceptual failure in LVLMs is strongly governed by pixel density and physical imaging constraints rather than model scale alone. Surprisingly, several compact open-source LVLMs outperform larger commercial baselines and substantially exceed YOLO11x robustness under long-range and low-light conditions. SynDORBench establishes a new benchmark paradigm for physically grounded multimodal evaluation, enabling systematic analysis of LVLM reliability under real-world perceptual constraints and direct comparison against human visibility thresholds.

Poster
Surrogate Calibration for Transferable Adversarial Attacks against Black-Box MLLMs

Zhewen Yao, Yao Zhu, Xiangyang Ji, Shiliang Zhang

展开摘要

Transfer-based attacks expose serious adversarial vulnerabilities in closed-source Multimodal Large Language Models (MLLMs) by crafting adversarial examples on off-the-shelf surrogate models. However, this paradigm often drives adversarial examples toward surrogate-specific local optima, where they deceive only the surrogate model but fail to transfer to black-box MLLMs. Although existing methods mitigate this issue at the attack level, they leave the surrogate itself unchanged. To address this gap, we propose Surrogate Calibration (SCal), a novel model-level refinement that enhances downstream transfer-based adversarial attacks in a plug-and-play manner. Specifically, SCal employs a feature-preserving loss to maintain the surrogate's representational utility, while a distributional regularizer encourages its gradient field to stay closer to the natural data manifold. With calibrated surrogates, downstream attacks generate update directions that exhibit superior generalization across black-box MLLMs. Extensive experiments demonstrate that SCal boosts current attacks to new heights across various surrogates. For instance, it elevates baseline M-Attack's ASR on GPT-5.4 Mini to 53.5\%, substantially surpassing the state-of-the-art MPCAttack (29.7\%). These results expose critical vulnerabilities that must be addressed for trustworthy multimodal systems. Code is at: https://anonymous.4open.science/r/SCal_code-B0BC

Poster
Statistical Estimation of Adversarial Risk in Large Language Models under Best-of-N Sampling

Mingqian Feng, Xiaodong Liu, Weiwei Yang, Chenliang Xu, Christopher White, Jianfeng Gao

展开摘要

Large Language Models (LLMs) are typically evaluated for safety under single-shot or low-budget adversarial prompting, which underestimates real-world risk. In practice, attackers can exploit large-scale parallel sampling to repeatedly probe a model until a harmful response is produced. While recent work shows that attack success increases with repeated sampling, principled methods for predicting large-scale adversarial risk remain limited. We propose a scaling-aware Best-of-N estimation of risk, SABER, for modeling jailbreak vulnerability under Best-of-N sampling. We model sample-level success probabilities using a Beta distribution, the conjugate prior of the Bernoulli distribution, and derive an analytic scaling law that enables reliable extrapolation of large-N attack success rates from small-budget measurements. Using only n=200 samples, our anchored estimator predicts ASR@1000 with a mean absolute error of 1.44, compared to 6.58 for the baseline, which is a 78.1% reduction in estimation error. Our results reveal heterogeneous risk scaling profiles and show that models appearing robust under standard evaluation can experience rapid nonlinear risk amplification under parallel adversarial pressure. This work provides a low-cost, scalable methodology for realistic LLM safety assessment. We provide our code in the Supplementary Material.

Poster
Stable Alpha: Adversarial Invariant Representation Learning for Nonlinear Asset Pricing under Temporal Distribution Shifts

Xiaokang Wang, Zihe Liu, Xinghan Qin, Zihao Yin, Jidong Yuan, Qinxuan Zhang, Xiushuo Hu

展开摘要

Deep learning has emerged as a powerful paradigm for constructing nonlinear asset pricing factor models. However, temporal distribution shifts such as bull-bear transitions and industry rotations undermine the generalization of models trained under the i.i.d. assumption. As a result, existing models tend to exploit environment-specific correlations that are highly predictive in-sample but unstable across market regimes. To address this challenge, we propose $\textit{\textbf{CASH}}$, a causality-inspired asset pricing factor framework designed to learn invariant and minimally sufficient representations under temporal distribution shifts. CASH formulates an information-theoretic adversarial learning objective that systematically discards transient market noise by optimizing against an adversary designed to exploit spurious correlations, thereby distilling invariant factor-return relationships. The resulting invariant representation is then integrated into a conditional factor pricing model via a dynamic factor exposure network. Experiments on real-world stock datasets across multiple markets demonstrate that CASH consistently outperforms state-of-the-art baselines in out-of-sample return prediction and exhibits superior robustness under pronounced temporal regime shifts.

Poster
Should We Pay This Much for Robustness? Efficient Proxy Certificates with Marginal Guarantees

Sayed Soroush Haj Zargarbashi, Mohammad Sadegh Akhondzadeh, Aleksandar Bojchevski

展开摘要

Modern classifiers remain sensitive to small input perturbations, while strong model-agnostic robustness certificates such as randomized smoothing are often too expensive for deployment, requiring an extensive number (e.g. 2000) of model forward passes per input. We propose a framework that delegates certification to a cheap proxy function while statistically controlling its deviation from the original sound certificate. Given an exchangeable unlabeled calibration set, we tune the proxy via robust conformal risk control to guarantee a bounded marginal false-approval rate: the probability that the proxy accepts an input whose prediction is flipped due to perturbation. The resulting proxy certificate can be used either as a standalone marginal certificate or as a fallback mechanism that invokes the expensive certificate only when the proxy rejects. We provide both single-sample and sample-heavy calibration recipes. Empirically, our method substantially reduces test-time certification cost (to a single model forward) while retaining much of the certified performance of randomized smoothing, enabling cheap yet effective robustness guarantees for larger architectures such as vision transformers and language models.

Poster
SAFE-FEC: Semantically Constrained Adversarial Frontier Evolution for Factual Error Correction

Lei Zhu, Xiaobao Wang, Jianbiao Yang, Chenyang Wang, Longbiao Wang, Jianwu Dang

展开摘要

The difficulty of factual error correction (FEC) is not only how to repair false claims, but how to construct errors that meaningfully test repair. Existing FEC data construction methods often follow a static corruption view: they mask spans in false claims or inject errors into supported claims, but do not explicitly target the boundary of what current evidence-based correctors can repair. We introduce the notion of a \emph{repair frontier}: factual errors that are evidence-grounded, close enough to the source claim to admit a clear correction, and resistant to current correctors. We propose \textsc{SAFE-FEC}, a semantically constrained adversarial frontier-evolution framework for constructing such examples. Starting from evidence-supported claims, SAFE-FEC generates mutations from multiple factual-error perspectives, refines them through cross-perspective critique, selects or composes stronger candidates, filters semantic drift, and accepts only candidates that survive repeated corrector-in-the-loop repair attempts. This turns FEC data construction from one-shot error injection into correction-aware frontier search. Experiments on FECData, HoVer, and FEVEROUS show that SAFE-FEC consistently lowers correction performance for both LLM-based and FEC-specific correctors, especially in multi-hop and structured-evidence settings. Quality evaluation and ablations further suggest that these failures arise from plausible, semantically anchored, evidence-grounded errors rather than invalid hard negatives.

Poster
Robust and Scalable Collaborative Learning via Pull-Based Epidemic Communication

Abdellah El Mrini, Sadegh Farhadkhani, Rachid Guerraoui

展开摘要

Collaborative machine learning is vulnerable to adversarial behaviors during training. Existing defenses typically rely on central coordination or induce high communication costs. We introduce *Robust Pull-based Epidemic Learning (RPEL)*, a scalable and fully decentralized framework that achieves robustness without a central server. Unlike traditional methods, whose communication cost grows as $\mathcal{O}(n^2)$ with the number of nodes $n$, RPEL uses a pull-based epidemic communication scheme that scales as $\mathcal{O}(n \log n)$. By pulling model parameters from small, randomly selected subsets of peers, RPEL significantly lowers the number of required messages while preserving convergence guarantees with high probability. Experimental results demonstrate that RPEL indeed tolerates attacks, attains accuracy comparable with all-to-all communication, and scales efficiently to large networks.

Poster
Robust Satisficing Ensemble: Scalable Model Aggregation Under Distribution Shifts

Ahmet Faruk Cetinkaya, Enes Ağırman, Cem Tekin

展开摘要

Standard ensemble methods can improve robustness by mitigating individual model stochasticity, but they frequently fail to generalize beyond the training distribution, leaving systems vulnerable to out-of-distribution (OOD) data. We introduce the Robust Satisficing Ensemble (RSE), a scalable probabilistic aggregation framework designed to secure model combinations by minimizing their fragility against distributional changes. By bridging a robust satisficing objective with a quadratic risk surrogate, RSE derives a closed-form analytical inner adversary. This fundamental reformulation enables highly efficient weight updates without the computational bottleneck of standard minimax optimization, crucially decoupling optimization complexity from sample size to scale effectively to large datasets. In particular, we prove a geometrically decaying truncation error for the fragility approximation via Lagrange-Bürmann expansion and show that the proximal RSE updates converge to a stationary point. We evaluate RSE across a comprehensive spectrum of distribution shifts, including adversarial label shift (SST-5, TREC), natural subpopulation and temporal shifts (CivilComments, HuffPost). Our results demonstrate that RSE consistently outperforms strong robust baselines, including GroupDRO, IRM, and SRM. These findings establish RSE as a practical, theoretically grounded safeguard for reliable model aggregation in dynamic environments.

Spotlight