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arXiv research

A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,786 papers · 148 categories

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62123185246 · Jun 202019922001200920172026
48 results for common perturbations

Study shows adversarial robustness and common perturbation robustness are independent.

problem Understanding the relationship between adversarial robustness and common perturbation robustness in neural networks.
method Conducted experiments to benchmark neural network robustness to common perturbations and adversarial examples.
result Adversarial robustness and common perturbation robustness are independent attributes.

In this paper we will perturb the scalar curvature of compact Kahler manifolds by incorporating it with higher Chern forms, and then show that the perturbed scalar curvature has many common properties with the unperturbed scalar curvature. In particular the perturbed scalar curvature becomes a moment map, with respect …

2006-03-30abs ↗pdf ↗

Minimal token perturbations reveal how Transformer models process information.

problem Understanding information propagation in Transformer models for interpretability.
method Study of minimal token perturbations on embedding space.
result Rare tokens cause larger shifts, and input information mixes deeper.

We study the relationship between Bar-Natan's perturbation in Khovanov homology and Szabo's geometric spectral sequence, and construct a link invariant that generalizes both into a common theory. We study a few properties of the new invariant, and introduce a family of s-invariants from the new theory in the same spiri…

2014-10-10abs ↗pdf ↗

The paper learns perturbation sets from data to improve robustness in machine learning.

problem Real-world perturbations are not well characterized in adversarial defenses.
method A conditional generator defines perturbation sets over latent space, with properties for quality measured.
result Learned perturbation sets generate diverse, meaningful perturbations and improve model robustness.

Gaussian copulas are widely used in the industry to correlate two random variables when there is no prior knowledge about the co-dependence between them. The perturbed Gaussian copula approach allows introducing the skew information of both random variables into the co-dependence structure. The analytical expression of…

2010-02-27abs ↗pdf ↗

New regularization techniques improve stability of deep neural networks.

problem Improving stability of deep neural networks in high-dimensional data.
method Apply manifold regularization to develop new regularizers based on graph Laplacian sparsification.
result Empirically, networks achieve high stability in various perturbation models, including adversarial attacks.

We show that if KK is a knot in S3S^3 and ΣΣ is a bridge sphere for KK with high distance and 2n2n punctures, the number of perturbations of KK required to interchange the two balls bounded by ΣΣ via an isotopy is nn. We also construct a knot with two different bridge spheres with 2n2n and 2n12n-1 bridges respecti…

2009-08-25abs ↗pdf ↗

Study reveals class-dependent effects in perturbation-based feature attribution metrics for time series classification.

problem Varying effectiveness of perturbation-based metrics across different classes in time series models.
method Systematic empirical analysis across multiple datasets, model architectures, and perturbation strategies.
result Perturbation-based metrics show varying effectiveness across classes, with some metrics performing better for certain classes.

New technique stabilizes singular values in concatenated matrices.

problem How singular values of concatenated matrices relate to individual components.
method Developed perturbation technique extending classical results to concatenated matrices.
result Dominant singular values remain stable under small perturbations in submatrices.

CSD learns a common component for domain generalization, outperforming existing methods.

problem Training models to generalize across unseen domains.
method CSD decomposes the model into a common and specific component, discarding the latter.
result CSD outperforms state-of-the-art domain generalization methods.

FTPL with Fréchet perturbation achieves near optimal regret bounds for m-set semi-bandit problems.

problem Optimizing regret bounds for m-set semi-bandit problems in adversarial and stochastic settings.
method Follow-the-Perturbed-Leader (FTPL) with Fréchet perturbation.
result Achieves near optimal regret bounds of O(nm(dlog(d)+m5/6))\mathcal{O}(\sqrt{nm}(\sqrt{d\log(d)}+m^{5/6})) in adversarial setting and logarithmic regret in stochastic setting.

Proposes a stability evaluation criterion for learning models using distributional perturbations.

problem Ensuring reliable deployment of learning models in out-of-sample environments.
method Uses optimal transport discrepancy with moment constraints to quantify minimal perturbation required for model deterioration.
result Validates the practical utility of the stability evaluation criterion across various real-world applications.

New method improves blackbox attack transferability by perturbing feature hierarchy.

problem Improving transferability of blackbox attacks across different models and datasets.
method Perturbs representations throughout feature hierarchy to mimic other classes.
result Achieves 10x increase in targeted success rate compared to other methods.

Wider networks improve natural accuracy but worsen perturbation stability, affecting overall robustness.

problem Understanding the tradeoff between natural accuracy and perturbation stability in wider neural networks for adversarial robustness.
method Careful examination of the relationship between network width, robust regularization parameter λ, and perturbation stability using neural tangent kernels.
result Wider networks can achieve better natural accuracy but worse perturbation stability, leading to potentially worse overall model robustness.

Paper defends deep learning classifiers against channel-aware adversarial attacks.

problem Deep learning classifiers are vulnerable to adversarial attacks.
method Channel-aware adversarial attacks are presented and defended against.
result Certified defense based on randomized smoothing makes classifiers robust.

Fast algorithm for rescaling vectors with clipping, improving training efficiency.

problem Efficiently rescale vectors to a desired length while maintaining them within a domain after clipping.
method Analytical solution for optimal rescaling using fast and differentiable algorithm.
result Optimal rescaling can be found analytically, improving training efficiency for neural networks.

This paper focuses on spectral filters on graphs, namely filters defined as elementwise multiplication in the frequency domain of a graph. In many graph signal processing settings, it is important to transfer a filter from one graph to another. One example is in graph convolutional neural networks (ConvNets), where the…

2019-01-29abs ↗pdf ↗

State entropy regularization improves robustness in reinforcement learning, especially under structured perturbations.

problem Structured and spatially correlated perturbations in reinforcement learning.
method State entropy regularization, compared to policy entropy.
result State entropy regularization provides better robustness to structured and spatially correlated perturbations.

This study evaluates adversarial attacks and defenses for chest X-ray disease classification.

problem Vulnerability of deep neural networks to adversarial examples in chest X-ray disease detection.
method Detailed introduction and evaluation of various attack and defense methods.
result Attack and defense methods perform poorly with excessive iterations and large perturbations.

Classifiers fail to classify correctly input images that have been purposefully and imperceptibly perturbed to cause misclassification. This susceptability has been shown to be consistent across classifiers, regardless of their type, architecture or parameters. Common defenses against adversarial attacks modify the cla…

2018-12-08abs ↗pdf ↗

Exact simulation method for market impact estimation under various execution strategies.

problem Estimating market impact from observed price trajectories under different execution strategies.
method Conditional simulation of point processes under perturbed intensities.
result Exact, event-driven algorithm for reconstructing counterfactual paths.

New method improves solving combinatorial optimization problems with smoothed policies.

problem Solving combinatorial optimization problems repeatedly with varying instances.
method Smoothed policies with controlled random perturbations to linear oracle, leading to differentiable surrogate risk.
result Generalization bound decomposes excess risk into bias, estimation, and optimization components.

This work develops sampling methods for differential privacy using SHK geometry.

problem Approximating sampling for the exponential mechanism in differential privacy.
method Develops perturbation theory for SHK gradient flows and applies to differential privacy.
result Derives time-dependent Pure-DP guarantees and Approximate-DP certificates.

New method speeds up training of deep networks robust to adversarial attacks.

problem Deep networks are sensitive to adversarial perturbations, compromising security and interpretability.
method Fast adversarial training using Euclidean norm approximation and distributed computing.
result Robust feature representations and reduced training time achieved.

Deep learning models for graphs have achieved strong performance for the task of node classification. Despite their proliferation, currently there is no study of their robustness to adversarial attacks. Yet, in domains where they are likely to be used, e.g. the web, adversaries are common. Can deep learning models for …

2018-05-21abs ↗pdf ↗

Enhances neural network robustness with Mixup and TLAT.

problem Neural networks are sensitive to various perturbations and adversarial examples.
method Combines Mixup augmentation with Targeted Labeling Adversarial Training (TLAT).
result M-TLAT increases robustness against 19 corruptions and 5 adversarial attacks without reducing clean sample accuracy.

When the planning horizon is long, and the safe asset grows indefinitely, isoelastic portfolios are nearly optimal for investors who are close to isoelastic for high wealth, and not too risk averse for low wealth. We prove this result in a general arbitrage-free, frictionless, semimartingale model. As a consequence, op…

2013-06-12abs ↗pdf ↗

New method learns cell trajectories and network interactions from single-cell data.

problem Network inference in systems biology from steady-state data.
method Min-entropy estimation for stochastic dynamics, leveraging both temporal and perturbational data.
result Jointly learns cellular trajectories and network interactions.

PDA improves deep neural networks' robustness against adversarial and common corruptions.

problem Deep neural networks' lack of robustness against common corruptions and adversarial attacks.
method Progressive Data Augmentation (PDA) that injects diverse adversarial noises during training.
result PDA-trained networks are more robust against both adversarial and common corruptions.

Simple technique turns any adversarial attack into a universal one using few test examples.

problem Creating universal adversarial attacks with minimal data.
method Universalization technique using few adversarial test examples and spectral properties.
result Simple universalization technique achieves comparable fooling rates to state-of-the-art methods.