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When Uncertainty Is the Target: Adversarial Attacks on Uncertainty-Aware Predictors
A Q M Sazzad Sayyed, Michele Caprio, Nathaniel D. Bastian, Francesco Restuccia
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.
When Sanitization Becomes the Trigger: Defense-Triggered Backdoor Attacks
Zhiguo Yang, Ruotian Liu, Peipei Xu, Wenjie Ruan
Backdoor defenses are widely regarded as key to secure third-party model deployment. However, we are the *first* to show that, in standard backdoor sanitization pipelines, the defense process itself can be exploited and turned into a conditional trigger. We propose ***D**efense-**T**riggered **B**ackdoor* (DTB): an attacker implants both a normally active *decoy backdoor* and a dormant *hidden backdoor*, so that model sanitization suppresses the decoy backdoor while activating the hidden backdoor, thereby making the defense process the trigger condition for the hidden backdoor. DTB uses bi-level optimization to approximate the shared sanitization effect of mainstream backdoor defenses, while constraining the hidden backdoor to activate only after the decoy backdoor is sufficiently suppressed. Experiments on multiple datasets, different networks, and 14 representative defenses show that DTB can *stably trigger* the hidden backdoor, and this phenomenon remains significant after multi-round compositional sanitization. Our findings reveal a potential threat in existing backdoor defense pipelines and suggest that post-sanitization safety cannot be judged solely by whether the original backdoor has been eliminated.
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
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.
Training-Based Backdoors Are Not Cryptographic
Masahiro Kaneko
To defend against backdoor attacks on neural networks, the defender must identify the verifier function that determines whether an input is a trigger, rather than rejecting individual triggers in isolation, since an attacker can generate new triggers satisfying the same verifier, against which trigger-by-trigger blocking cannot keep up. If a backdoor verifier could be installed with the same kind of asymmetry as a cryptographic authentication scheme, in which only the attacker can produce trigger inputs while the defender cannot reverse-engineer the verifier from observations, learning-based defense would face a principled impossibility. We show that no such asymmetry can arise for any backdoor installed by training into a model. We establish two complementary impossibility results. First, any verifier installable by training a polynomial-size neural network is reconstructible by the defender with sample complexity matching the attacker's up to polynomial factors. Second, any cryptographic secret the attacker might supply to the model at inference is necessarily observable to a white-box defender. Together, these results rule out any way of giving a self-contained backdoor cryptographic asymmetry. We confirm both routes empirically on pretrained large language models, demonstrating that no configuration yields a backdoor simultaneously effective for the attacker and irrecoverable by the defender.
TraceGuard: Defending Multi-Turn Jailbreak Attacks via Prompt-Response Risk Signal Tracking
Hongyi Li, Yufei Wang, Chengxuan Zhou, Qinlin Xie, Yanting Chen, Jiawei Ye, Wu Jie
Large Language Models (LLMs) have made remarkable progress and are increasingly deployed as black-box API services. However, they remain vulnerable to jailbreak attacks that bypass safeguards and elicit harmful content, especially in multi-turn settings where harmful intent is gradually constructed over the interaction. Existing defenses primarily target single-turn scenarios or require access to model internals, making them insufficient against black-box multi-turn jailbreak attacks with weak single-turn discriminability, cross-turn dependency, and dynamic attack patterns. To bridge this gap, we first analyze harmful intent in multi-turn jailbreak interactions through representation-space risk signals inspired by the Linear Representation Hypothesis. Our analysis reveals that these signals are fragmented across prompts, responses, and turns, progressively evolve over the interaction, and exhibit attack-dependent temporal patterns. Motivated by this, we propose TraceGuard, an online black-box defense framework that detects multi-turn jailbreak attacks by tracking prompt and response risk signals as the interaction unfolds. Specifically, TraceGuard operates in two modes: TraceGuard-S captures cross-view risk representations and their cross-turn evolution, while TraceGuard-A further enables distribution-aware few-shot adaptation to dynamic attack patterns. Extensive experiments across multiple benchmarks and target LLMs demonstrate that TraceGuard achieves superior multi-turn jailbreak detection while preserving utility, maintaining efficiency, and generalizing to unseen attacks.
Towards Universal Black-box Attacks on Graph Neural Networks
Runze Li, Di Jin, Xiaobao Wang, Bingdao Feng, Dongxiao He
Graph neural networks are widely deployed in real-world applications, where attackers often operate under strict black-box constraints, making effective graph black-box attacks particularly important. However, existing methods are fundamentally limited by poor universality, as attack strategies learned on specific graphs or model configurations fail to generalize across different graph datasets. Inspired by the unified representation principle of graph foundation models, we propose a universal black-box attack framework that learns transferable attack paradigms from multiple source graphs and generalizes directly to unseen target graphs. The framework incorporates a representation selection mechanism and a graph variational autoencoder based modeling strategy to ensure consistency and mappability between the unified semantic space and the original representation space, together with a structure–representation joint anchor node selection mechanism for effective attack construction. Extensive experiments on benchmark datasets show that our method achieves strong universality and consistently superior attack performance.
The Web Doesn't Sit Still: Adversarial Self-Evolving Attacks on Search Agents
Geyuan Wang, Shunyu Liu, Siyuan Liang, Chenyang Lyu, Dacheng Tao
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.
The Price of Locality in Label Privacy: Optimal Rates for Classification and Regression
Zongrui Zou, Mina Dalirrooyfard, Jingcheng Liu, Jalaj Upadhyay
We study classification and regression tasks under label differential privacy (label-DP), a setting where only the labels are considered sensitive information. We quantify the "price of locality" by revealing fundamental statistical gaps between local and central privacy models. For classification, we establish a strict separation in accuracy. Specifically, we prove that the minimax excess risk in the local model is lower bounded by $\Omega(\frac{1}{\epsilon}\sqrt{\text{VC}(\mathcal{H})/n})$ for classification on size-$n$ dataset, a fundamental limitation that holds even under relaxed approximate $(\epsilon, \delta)$-local DP. Overcoming this barrier, we propose the first *efficient* central-model algorithm that operates under the stricter pure $\epsilon$-DP, yet achieves a significantly improved upper bound of $\tilde{O}(\sqrt{\text{VC}(\mathcal{H})/(\epsilon n)})$. For linear regression, we show that local randomizers or naive central-DP approach algorithms are statistically inefficient. Instead, we turn to the Matrix Mechanism and use an encoder-decoder framework built on ridge regression, which projects the data into a spherical latent space before injecting noise. This structural design effectively isolates and exponentially suppresses the severe noise inflation typically caused by ill-conditioned feature covariance matrices in full-DP (Cai et al., The Annals of Statistics, 49(5)), achieving an optimal privacy penalty of $\tilde{O}({d^2}/({n^2\epsilon^2}))$ where $d$ is the feature dimension.
TRACE: Data-Free Text Reconstruction Attacks against Approximate Unlearning in LLMs
Mengying Zhang, Derui Wang, Ibrahim Khalil, Bowen Liu, Xiaoyu Xia, Minhui Xue
As large language models (LLMs) face growing demands for data removal driven by regulatory compliance, copyright concerns, and privacy protection, approximate unlearning has emerged as a practical alternative to expensive full retraining. In practice, pre- and post-unlearning model snapshots are often maintained for auditing and rollback, introducing a previously overlooked side channel. This paper demonstrates that approximate unlearning in LLM can leave residual traces within model snapshots, which may be recoverable and thus enable the privacy breaches that approximate unlearning is intended to prevent. Here, we propose TRACE, a framework that reconstructs unlearned training data given access to pre- and post-unlearning model snapshots, without any data-specific prior knowledge. To achieve this, TRACE identifies a compact set of candidate tokens from embedding-level parameter differences to constrain the search space, and assembles sequences via a contrastive scoring mechanism based on the perplexity gap between the two models. A two-stage exploration-then-completion strategy enables the recovery of multiple distinct samples. Extensive experiments on various datasets, including TOFU, MUSE, and WMDP, across multiple LLMs and six representative unlearning methods, demonstrate that TRACE achieves high-fidelity reconstruction. This paper exposes significant privacy risks in current LLM approximate unlearning deployments and highlights the need for defenses against parameter-difference leakage and appropriate management of model snapshot access.
Surrogate Calibration for Transferable Adversarial Attacks against Black-Box MLLMs
Zhewen Yao, Yao Zhu, Xiangyang Ji, Shiliang Zhang
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
Stage-wise Attention-Guided Region Sequencing for Adversarial Attacks on Large Vision-Language Models
Jaehyun Kwak, Nam Cao, Boryeong Cho, Segyu Lee, Sumyeong Ahn, Se-Young Yun
Targeted adversarial attacks on Large Vision-Language Models (LVLMs) test whether small image perturbations can steer model responses toward attacker-specified content. Under the standard $L_\infty$ constraint, targeted attacks become a regional perturbation budget allocation problem: attack success depends not only on the perturbation objective, but also on which regions receive updates and in what order. Existing localized attacks improve over global perturbations but rely on stochastic spatial sampling, often updating weakly influential regions. We address this limitation through an attention-based analysis showing that cross-modal attention identifies adversarially sensitive regions and that perturbing high-attention hotspots induces predictable redistribution toward subsequent salient regions. These findings motivate attention-guided region sequencing, which begins from dominant hotspots and progressively moves the update support toward next-salient regions. Based on these principles, we propose Stage-wise Attention-Guided Attack (SAGA), a black-box region-sequencing framework that uses a fixed attention map from an open-source LVLM to guide perturbation updates without accessing target-model parameters, gradients, or attention maps. Across ten closed-source and open-source LVLMs, SAGA achieves state-of-the-art attack success rates and the best overall imperceptibility.
Sort, Partition, Randomize: Optimal Binary Hypothesis Testing under Local Differential Privacy
Elena Ghazi, Jawad Nasser, Flavio Calmon, Ibrahim Issa
We study optimal design of $\varepsilon$-locally differentially private mechanisms for binary hypothesis testing. Each observation is drawn from one of two known distributions $P_0,P_1$ on a finite alphabet of size $k$, privatized by a mechanism $Q$, and then used to infer which distribution generated the data. We measure testing utility using an $f$-divergence—including total variation, KL, and hockey-stick divergences—between the two induced output distributions. Previous work established structural properties of optimal mechanisms, but only yielded exponential-time algorithms. We prove a sharp structure: for every $\varepsilon$ and every $f$-divergence objective, after sorting the alphabet by likelihood ratio, there exists an optimal mechanism that partitions the sorted alphabet into contiguous blocks and applies randomized response to the block label. We call this class Sort–Partition–Randomize (SPR). This characterization yields an exact dynamic program that computes an optimal mechanism in $O(k^3)$ time, and more generally in $O(\ell k^2)$ time with an $\ell$-output budget. Our results make it possible to efficiently compute and characterize the exact optimum across the full privacy range, beyond asymptotic privacy regimes.
Skill-Inject: Measuring Agent Vulnerability to Skill File Attacks
David Schmotz, Luca Beurer-Kellner, Sahar Abdelnabi, Maksym Andriushchenko
LLM agents are evolving rapidly, powered by code execution, tools, and the recently introduced agent skills feature. Skills allow users to extend LLM applications with specialized thirdparty code, knowledge, and instructions. Although this can extend agent capabilities to new domains, it creates an increasingly complex agent supply chain, offering new surfaces for prompt injection attacks. We identify skill-based prompt injection as a significant threat and introduce Skill-Inject, a benchmark evaluating the susceptibility of widely-used LLM agents to injections through skill files. Skill-Inject contains 202 injection-task pairs with attacks ranging from obviously malicious injections to subtle, context-dependent attacks hidden in otherwise legitimate instructions. We evaluate frontier LLMs on Skill-Inject, measuring both security in terms of harmful instruction avoidance and utility in terms of legitimate instruction compliance. Our results show that today’s agents are highly vulnerable with up to 80% attack success rate with frontier models, often executing extremely harmful instructions including data exfiltration, destructive action, and ransomwarelike behavior. They furthermore suggest that this problem will not be solved through model scaling or simple input filtering, but that robust agent security will require context-aware authorization frameworks.
Shuffle and Joint Differential Privacy for Generalized Linear Contextual Bandits
Sahasrajit Sarmasarkar
We present the first algorithms for generalized linear contextual bandits under shuffle differential privacy and joint differential privacy. While prior work on private contextual bandits has been restricted to linear reward models---which admit closed-form estimators---generalized linear models (GLMs) pose fundamental new challenges: no closed-form estimator exists, requiring private convex optimization; privacy must be tracked across multiple evolving design matrices; and optimization error must be explicitly incorporated into regret analysis. We address these challenges under two privacy models and context settings. For stochastic contexts, we design a shuffle-DP algorithm with regret $\tilde{O}\!\big(d^{3/2}\sqrt{T \log T} + d^{5/4} \sqrt{T/\varepsilon} (\log T)^{3/4}\big)$ in the dominant term, matching the non-private rate $\tilde{O}(d \sqrt{T \log T})$ in the leading-in-$T$ term up to a multiplicative factor of $\sqrt d$ and a privacy correction term of $\tilde{O}(d^{5/4}\sqrt{T \log T/\varepsilon})$. For adversarial contexts, we provide a joint-DP algorithm with regret $\tilde{O}\!\big(d\sqrt{T}\log T + d^{3/4}\sqrt{T/\varepsilon}\,(\log T)\,(d+\log T)^{1/4}\big)$ matching the non-private rate $\tilde{O}(d\sqrt{T}\log T)$ in the leading term. Unlike prior work on locally private GLM bandits, our methods require no spectral assumptions on the context distribution beyond $\ell_2$ boundedness.
Sequential Membership Inference Attacks
Thomas Michel, Debabrota Basu, Emilie Kaufmann
Modern AI models are not static. They go through multiple updates in their lifecycles. We propose to design Sequential Membership Inference (SeMI) attacks leading to tighter privacy audits by exploiting the sequence of models and injecting a target canary at a controlled insertion time. First, for empirical mean computation, we develop $\mathrm{SeMI}^{\ast}$, an optimal SeMI attack to identify the presence of a target inserted at a specific insertion step. We derive the power of $\mathrm{SeMI}^{\ast}$ to show that accessing the model sequence yields more powerful MI attacks than scrutinising only the final model. $\mathrm{SeMI}^{\ast}$ exhibits an isolation property-- its power depends on the statistics obtained right before and after insertion of the target. Leveraging this insight, we develop practical white-box (accessing model gradients) and black-box (accessing loss) SeMI attacks against models trained with (DP-)SGD. Across datasets and models trained with (DP-)SGD, our experiments show that SeMI attacks achieve higher powers than snapshot-independent baselines, and yield tighter privacy audits thanks to (a) control over the insertion time and (b) observations across the model sequence.
Sampling-Free Privacy Accounting for Matrix Mechanisms under Random Allocation
Jan Schuchardt, Nikita Kalinin
We study privacy amplification for differentially private model training with matrix factorization under random allocation (also known as the balls-in-bins model). Recent work by Choquette-Choo et al. (2025) proposes a sampling-based Monte Carlo approach to compute amplification parameters in this setting. However, their guarantees either only hold with some high probability or require random abstention by the mechanism. Furthermore, the required number of samples for ensuring $(\epsilon,\delta)$-DP is inversely proportional to $\delta$. In contrast, we develop sampling-free bounds based on Rényi divergence and conditional composition. The former is facilitated by a dynamic programming formulation to efficiently compute the bounds. The latter complements it by offering stronger privacy guarantees for small $\epsilon$, where Rényi divergence bounds inherently lead to an over-approximation. Our framework applies to arbitrary banded and non-banded matrices. Through numerical comparisons, we demonstrate the efficacy of our approach across a broad range of matrix mechanisms used in research and practice.
SMI: Statistical Membership Inference for Reliable Unlearned Model Auditing
Jialong Sun, Zeming Wei, Jiaxuan Zou, Jiacheng Gong, Chengyang Dong, Jie Fu, Heng Xu, Jialong Li, Bo Liu
Machine unlearning (MU) is essential for enforcing the right to be forgotten in machine learning systems. A key challenge of MU is how to reliably audit whether a model has truly forgotten specified training data. Membership Inference Attacks (MIAs) are widely used for unlearned model auditing, where samples that evade membership detection are regarded as successfully forgotten. We show this assumption is fundamentally flawed: failed membership inference does not imply true forgetting. We prove that unlearned samples occupy a fundamentally different positions in the feature space feature space than non-member samples, making this alignment bias unavoidable and unobservable, which leads to systematically optimistic evaluations of unlearning performance. Meanwhile, training shadow models for MIA incurs substantial computational overhead. To address both limitations, we propose Statistical Membership Inference (SMI), a training-free auditing framework that reformulates auditing as estimating the non-member mixture proportion in the unlearned feature distribution. Beyond estimating the forgetting rate, SMI also provides bootstrap reference ranges for quantified auditing reliability. Extensive experiments show that SMI consistently outperforms all MIA-based baselines, with no shadow model training required. Overall, SMI establishes a principled and efficient alternative to MIA-based auditing methods, with both theoretical guarantees and strong empirical performance.
Provable Robustness against Backdoor Attacks via the Primal-Dual Perspective on Differential Privacy
Aman Saxena, Jan Schuchardt, Yan Scholten, Stephan Günnemann
Randomized smoothing provides a powerful framework for certifying robustness against adversarial perturbations by injecting randomized noise either into the training process (against poisoning attacks) or model inputs (against evasion attacks). Yet, extending these guarantees to hold against backdoor attacks, where adversaries jointly perturb both training and test data, remains challenging. In particular, certifying general mechanisms requires tight, compositional guarantees over heterogeneous randomized components, which are not jointly supported by existing approaches. We address this gap by proposing a general framework that numerically composes robustness guarantees for arbitrary mechanisms while remaining tightly connected to black-box randomized smoothing guarantees. To achieve this, we establish a connection between randomized smoothing and the dual perspective of differential privacy, enabling us to leverage advances in the analysis of differentially private mechanisms together with tight numerical composition. This yields a modular framework in which robustness guarantees are derived by reasoning about the privacy of individual components and composing them end-to-end. We instantiate our framework for DP-SGD and Deep Partition Aggregation with inference-time smoothing, deriving joint robustness guarantees against both training-time and inference-time attacks. Empirically, we demonstrate the effectiveness of our framework on MNIST and CIFAR-10. Overall, we provide a principled and general framework for certifying robustness under complex joint threat models and mechanisms, laying the groundwork for future research on unified certification methods towards guarantees under more complex real-world adversaries.
Privacy by Postprocessing the Discrete Laplace Mechanism
Quentin Hillebrand, Jacob Imola, Rasmus Pagh, Sia Sejer
We show that an "old dog," the classical discrete Laplace (aka. geometric) mechanism, can "perform new tricks": * It can be post-processed to yield a simple, unbiased estimator of any subexponential function $f$ of the original data, giving a simple, discrete, multivariate version of the recent unbiasing result for the Laplace mechanism by Calmon et al. (FORC '25). * It can be post-processed to output the same distribution as the Laplace mechanism or the Staircase mechanism with identical privacy parameters. Thus, the discrete Laplace mechanism is a versatile mechanism that should be preferred over the Laplace and Staircase mechanisms whenever the data is discrete (or can be made discrete while controlling $\ell_1$-sensitivity). We show bounds on the variance of our estimator, compared to the mean square error of the biased estimator that simply evaluates the $f$ on the output of the mechanism. Though our unbiased estimator has exponential running time for worst-case functions, we show that it can often be computed in linear or polynomial time for concrete, structured functions. We showcase the properties of our methods empirically with several use cases including profile and entropy estimation, as well as distributed/federated data analysis applications in which unbiasedness is key to accuracy.
Privacy Risk Scales with Effective Dimension in Federated Learning
MD MAMUNUR RASHID, Md Palash Uddin, Yong Xiang, Keshav Sood, Longxiang Gao
Privacy mechanisms in federated learning (FL) are often calibrated without explicit regard to model scale, implicitly assuming that privacy risk remains stable as federated models grow. We challenge this assumption by introducing federated leakage, a signal-level mutual-information measure of client-specific information surviving in privatized update trajectories, and by identifying effective model dimension, rather than raw parameter count, as the operative scaling variable. Under a Gaussian signal-channel model with spectral growth of client-informative directions, we establish a regime-conditional scaling law: leakage grows as $\Theta(d/\log d)$ with effective dimension $d$. This result yields a leakage-ratio notion of privacy debt, where fixed-noise deployment can expose increasing client-informative signal even when the accountant-reported DP configuration is unchanged. We therefore propose a scale-aware Gaussian calibration rule that preserves the target leakage regime up to constant factors, and show across vision and language settings that it substantially reduces cross-scale privacy drift relative to fixed-noise baselines.