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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.

168,932 papers · 148 categories

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48 results for L0 and L∞ attacks

We apply L0 regularization to reduce neural network complexity and interpretability.

problem Over-parameterization in neural networks leads to susceptibility to attacks, loss of interpretability, and increased SWaP-C.
method We use L0 regularization to reduce complexity and evaluate the trade-off between complexity and desired metrics.
result L0 regularization captures saliency in the input space and reduces complexity of neural networks.

Dual quality assessment method tackles adversarial robustness issues across various metrics.

problem Varying robustness levels and bias in adversarial attacks and defenses.
method Model agnostic dual quality assessment method, including robustness levels.
result Current networks and defenses are vulnerable at all robustness levels, highlighting the need for a dual approach.

Paper proposes SOTL framework for improving transfer learning accuracy and efficiency.

problem Statistical bias and computational efficiency in multi-source domain adaptation.
method Sparse Optimization for Transfer Learning (SOTL) with L0-regularization.
result SOTL significantly improves estimation accuracy and computational speed, especially under adversarial conditions.

A new Branch-and-Bound solver tackles L0-penalized problems with flexible loss functions.

problem Solving L0-penalized optimization problems with a broader class of loss functions.
method Generic Branch-and-Bound procedure with closed-form expressions for key quantities.
result El0ps solver achieves state-of-the-art performance and extends computational feasibility.

Federated Learning with L0 constraint improves sparsity and performance.

problem Inherent sparsity in data and models leads to dense models with poor generalizability.
method L0 constraint on model density achieved through probabilistic gates and federated stochastic gradient descent.
result Achieves target sparsity (rho) in FL with minimal loss in statistical performance.

The purpose of this paper is to present a certain combinatorial method of constructing invariants of isotopy classes of oriented tame links. This arises as a generalization of the known polynomial invariants of Conway and Jones. These invariants have one striking common feature. If L+, L- and L0 are diagrams of oriente…

2016-10-21abs ↗pdf ↗

We compute approximate solutions to L0 regularized linear regression using L1 regularization, also known as the Lasso, as an initialization step. Our algorithm, the Lass-0 ("Lass-zero"), uses a computationally efficient stepwise search to determine a locally optimal L0 solution given any L1 regularization solution. We …

2015-11-13abs ↗pdf ↗

A graph neural network detects beneficial feature interactions for recommender systems.

problem Feature interactions are crucial but not all are beneficial for recommendation accuracy.
method Graph neural network with L0 activation regularization for edge prediction.
result The model outperforms baselines and automatically identifies beneficial feature interactions.

Level-set optimization formulations with data-driven constraints minimize a regularization functional subject to matching observations to a given error level. These formulations are widely used, particularly for matrix completion and sparsity promotion in data interpolation and denoising. The misfit level is typically …

2018-11-28abs ↗pdf ↗

The paper develops a method to dynamically adjust VAE latent space dimensions during training.

problem Under- or overprovisioning of latent space dimensions in VAEs.
method GECO optimizer with L0L_0-ARM gradient estimator to dynamically adjust latent space dimensions.
result The latent space can be pruned effectively without violating reconstruction error constraints.

DeepHoyer introduces differentiable, scale-invariant sparsity measures for neural networks.

problem Efficiently sparsifying neural networks with scale-invariant sparsity measures.
method Developed DeepHoyer, a set of differentiable, scale-invariant sparsity-inducing regularizers based on the Hoyer measure.
result DeepHoyer produces sparser neural networks than previous methods, maintaining similar accuracy.

Sparse Singular Value Decomposition (SVD) models have been proposed for biclustering high dimensional gene expression data to identify block patterns with similar expressions. However, these models do not take into account prior group effects upon variable selection. To this end, we first propose group-sparse SVD model…

2018-07-28abs ↗pdf ↗

Support Vector Machine (SVM) is an efficient classification approach, which finds a hyperplane to separate data from different classes. This hyperplane is determined by support vectors. In existing SVM formulations, the objective function uses L2 norm or L1 norm on slack variables. The number of support vectors is a me…

2018-04-06abs ↗pdf ↗

Significant attention has been given to minimizing a penalized least squares criterion for estimating sparse solutions to large linear systems of equations. The penalty is responsible for inducing sparsity and the natural choice is the so-called l0l_0 norm. In this paper we develop a Momentumized Iterative Shrinkage Th…

2014-09-25abs ↗pdf ↗

Deep neural networks are vulnerable against adversarial examples. In this paper, we propose to train and test the networks with randomly subsampled images with high drop rates. We show that this approach significantly improves robustness against adversarial examples in all cases of bounded L0, L2 and L_inf perturbation…

2019-05-01abs ↗pdf ↗

Study compares L1 and VG sparsity priors in inverse problems.

problem Sparse regularization in inverse problems with incomplete or corrupted measurements.
method Compared L1 regularization with Variational Garrote (VG), a probabilistic method approximating L0 sparsity.
result VG often achieves lower minimum generalization error and improved stability in strongly underdetermined regimes.

Bayesian framework for model uncertainty identifies complex heterogeneity without strong assumptions.

problem Identifying complex heterogeneity in factorial data with varying covariates.
method Rashomon Partition Sets (RPS) using l0 prior for robust model uncertainty.
result RPS provides a robust set of models capturing complex heterogeneity without strong assumptions.

This paper studies adversarial attacks on Gaussian process bandits.

problem Adversarial attacks on Gaussian process bandits to manipulate optimal function regions.
method Proposes various adversarial attack methods on GP bandits, including white-box and black-box attacks.
result Adversarial attacks can force GP bandits to optima in target regions even with low attack budgets.

Subpopulation attacks poison data to misclassify naturally distributed points.

problem Improving accuracy of machine learning predictions through adversarial data modification.
method Introducing a novel subpopulation attack framework, using influence functions and gradient optimization.
result Subpopulation attacks are effective and stealthy, making them difficult to defend against.

Efficient attacks on DRL models without model access and low computation.

problem Vulnerabilities of DRL models to adversarial attacks.
method Adapting black-box attacks, introducing efficient online sequential attacks, exploring perturbations in environment dynamics, and generating robust physical perturbations.
result Demonstrated the effectiveness of proposed attacks on real-world robots.

Reward-poisoning attacks can force RL agents to learn bad policies, and we categorize and quantify their feasibility.

problem Reward-poisoning attacks can manipulate RL agents to learn undesirable policies.
method Categorize attacks by infinity-norm constraint, provide thresholds for feasibility, and develop adaptive attack strategies.
result Adaptive reward-poisoning attacks can achieve the nefarious policy in polynomial steps, while non-adaptive attacks require exponential steps.

Spanning attack improves black-box attacks with unlabeled data.

problem Query inefficiency in black-box attacks due to high input space dimensionality.
method Proposes spanning attack by constraining adversarial perturbations in a low-dimensional subspace via an auxiliary unlabeled dataset.
result Significantly improves query efficiency of black-box attacks.

Adversarial attacks pose a threat to deep neural networks, especially in safety-critical applications.

problem Adversarial attacks can misclassify deep neural networks, leading to safety issues.
method Adversarial attacks are categorized into white-box and black-box attacks based on the attacker's knowledge. They can be targeted or non-targeted.
result Adversarial attacks are effective and can transfer between different models and real-world scenarios.

Adversarial attacks hide cyber-physical attacks in ICS.

problem Hiding cyber-physical attacks in industrial control systems.
method Modeling an attacker compromising sensors, manipulating data, and evaluating attacks on both continuous and mixed data.
result Successfully hides cyber-physical attacks with 2.87 out of 12 sensors compromised on average.

New approach deflects adversarial attacks by causing them to resemble target classes.

problem Ongoing cycle of stronger defenses being broken by more advanced attacks.
method Combines three detection mechanisms in Capsule Networks to achieve state-of-the-art performance on both standard and defense-aware attacks. Uses human study to show attacks can no longer be called adversarial.
result Attack images can no longer be called adversarial because they are classified the same way as humans do.