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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.

168,742 papers · 148 categories

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91181272362 · Jun 202019922001200920172026
48 results for adversarial formulation

Study on robustness of learning-based novelty detection methods under adversarial attacks.

problem Understanding how learning-based novelty detection methods perform under adversarial perturbations.
method Formulated an oracle attack setup and evaluated vulnerability using black-box adversarial algorithms.
result Adversarial perturbations can significantly increase FDR while maintaining high detection power.

Adversarial training improves linear regression solutions, revealing sparsity and abrupt interpolation.

problem Adversarial attacks on linear regression models.
method Formulated as a convex problem, adversarial training is used to find robust solutions that are sparse and interpolate data.
result Adversarial training with small disturbances gives the solution with the minimum-norm that interpolates the training data, revealing abrupt transition into interpolation.

New method simplifies and improves imitation learning without adversarial techniques.

problem Stable optimization and convergence issues in adversarial imitation learning methods.
method Proposes a non-adversarial framework for imitation learning, providing stronger convergence guarantees.
result Shows AIRL as a special case and derives new algorithms for offline imitation learning.

We propose a novel adversarial training method in feature space that improves model robustness and computational efficiency.

problem Improving model robustness against adversarial input perturbations with computational efficiency.
method Shift from input to feature-space perturbations, reformulating the adversarial training problem in reproducing kernel Hilbert spaces, enabling exact solution of inner maximization and efficient optimization.
result The feature-perturbed formulation is a relaxation of the original problem and provides a regularized estimator that adapts to noise and function smoothness.

New approach improves adversarial robustness without sacrificing natural generalization.

problem Balancing adversarial robustness and natural generalization in machine learning.
method Friendly adversarial training (FAT) using early-stopped PGD to find least adversarial data.
result Early-stopped PGD achieves adversarial robustness without compromising natural generalization.

We present a data-driven framework called generative adversarial privacy (GAP). Inspired by recent advancements in generative adversarial networks (GANs), GAP allows the data holder to learn the privatization mechanism directly from the data. Under GAP, finding the optimal privacy mechanism is formulated as a constrain…

2018-07-13abs ↗pdf ↗

Adversarial training improves linear regression solutions, offering robustness against small perturbations.

problem Vulnerability of linear models to adversarial perturbations.
method Formulated as a min-max problem, adversarial training minimizes the best solution under worst-case attacks.
result Adversarial training yields the minimum-norm interpolating solution in overparameterized models, equivalent to parameter shrinking methods in underparameterized models.

The paper addresses learner privacy in convex optimization with feedback.

problem Privacy risks from eavesdropping adversaries observing learner's queries.
method Optimally obfuscating learner's queries to make their learned optimal value hard to estimate.
result Query complexity overhead is additive in LL in the minimax formulation, multiplicative in LL in the Bayesian formulation.

A new method removes policy optimization in adversarial imitation learning.

problem Adversarial imitation learning's delicate alternated optimization.
method Explicitly condition discriminator on two policies, solving generator's optimization problem directly.
result Simpler approach competitive to prevalent methods.

Adversarial training improves graph autoencoder generalization.

problem Improving graph autoencoder generalization.
method Formulated L2 and L1 adversarial training for graph autoencoders and variational graph autoencoders.
result Adversarial training boosts graph autoencoder and variational graph autoencoder generalization.

SOAR improves deep networks' robustness against adversarial examples.

problem Improving deep neural networks' robustness against adversarial examples.
method Formulated adversarial robustness problem under robust optimization framework, approximated loss function using second-order Taylor series expansion.
result SOAR significantly improves robustness of networks against adversarial perturbations.

Paper designs optimal ECOCs using IP for robust multiclass classification.

problem Designing robust ECOCs for multiclass classification.
method Integer Programming formulation to minimize codebooks with desirable error-correcting properties, leveraging graph-theoretic structure and edge clique covers.
result IP-generated codebooks achieve high nominal and robust adversarial accuracy.

This paper investigates recently proposed approaches for defending against adversarial examples and evaluating adversarial robustness. We motivate 'adversarial risk' as an objective for achieving models robust to worst-case inputs. We then frame commonly used attacks and evaluation metrics as defining a tractable surro…

2018-02-15abs ↗pdf ↗

We study risk-sensitive imitation learning where the agent's goal is to perform at least as well as the expert in terms of a risk profile. We first formulate our risk-sensitive imitation learning setting. We consider the generative adversarial approach to imitation learning (GAIL) and derive an optimization problem for…

2018-08-13abs ↗pdf ↗

A framework for federated adversarial learning with convergence analysis.

problem Unique vulnerabilities to adversarial attacks in federated learning.
method Formulates a general federated adversarial learning framework with inner and outer loops for client-side adversarial training and server-side model aggregation.
result The minimum loss under the proposed algorithm can converge to ε with chosen learning rate and communication rounds.

We consider the problem of influence maximization in fixed networks for contagion models in an adversarial setting. The goal is to select an optimal set of nodes to seed the influence process, such that the number of influenced nodes at the conclusion of the campaign is as large as possible. We formulate the problem as…

2016-11-01abs ↗pdf ↗

Paper develops robust Bayesian models for linear regression under adversarial perturbations.

problem Ensuring reliable machine learning models under data perturbations.
method Formulates adversarial Bregman divergence loss, computes adversarial perturbation, introduces adversarially robust posteriors, derives generalization certificates.
result Derives first rigorous generalization certificates for adversarially robust Bayesian linear regression.

New framework enhances neural network robustness against adversarial attacks.

problem Vulnerability of deep neural networks to small perturbations.
method Integrates Lipschitz constraint using optimal transport and hinge regularization.
result Proposes a new loss function that certifies adversarial robustness.

Ideally, what confuses neural network should be confusing to humans. However, recent experiments have shown that small, imperceptible perturbations can change the network prediction. To address this gap in perception, we propose a novel approach for learning robust classifier. Our main idea is: adversarial examples for…

2018-10-30abs ↗pdf ↗

Optimal Transport CycleGAN improves unsupervised learning in imaging problems.

problem Improving unsupervised learning in inverse problems using generative models.
method Developed an OT-cycleGAN architecture using a PLS cost with deep learning-based inverse path penalty.
result Distinct variations of cycleGAN architecture can be derived based on forward problem knowledge.

We provide an approach for learning deep neural net representations of models described via conditional moment restrictions. Conditional moment restrictions are widely used, as they are the language by which social scientists describe the assumptions they make to enable causal inference. We formulate the problem of est…

2018-03-19abs ↗pdf ↗

New trade-off found between accuracy and adversarial robustness in regression.

problem Finding a balance between accuracy and robustness in regression models.
method Deriving a fundamental trade-off between standard and adversarial risk in regression with polynomial ridge functions.
result A necessary condition for achieving adversarial robustness without significant accuracy loss.

Adversarial fog tests autonomous navigation models.

problem Neural networks are fooled by adversarial perturbations, but fog naturally creates similar perturbations.
method Introduced a new type of adversarial perturbation using generative models and Cycle-Consistent Generative Adversarial Networks.
result Generated adversarial fog images help test autonomous navigation models.

ADT improves model robustness by learning adversarial distributions.

problem Ineffective robustness against unseen attacks due to specific attack algorithms.
method Formulates adversarial distributional training as a minimax optimization problem, learning adversarial distributions and training robust models.
result Empirical validation of ADT's effectiveness compared to state-of-the-art methods.

Paper improves adversarial training using a learned optimizer.

problem Improving robustness of deep learning models against adversarial attacks.
method Empirically identified PGD attack's limitations and used a learning-to-learn framework to train an adaptive inner optimizer.
result The proposed framework consistently improves model robustness over traditional adversarial training methods.

Mathematical conditions and practical computations for adversarial robustness measures are established.

problem Existence, uniqueness, and scalability of adversarial robustness measures for AI classifiers.
method Formulated and proven mathematical conditions for existence, uniqueness, and explicit analytical computation of minimal adversarial paths and distances. Practical computation demonstrated on various AI tools and synthetic benchmarks.
result Explicit mathematical conditions and practical computations for adversarial robustness measures are established.

This paper first presents a theory for generative adversarial methods that does not rely on the traditional minimax formulation. It shows that with a strong discriminator, a good generator can be learned so that the KL divergence between the distributions of real data and generated data improves after each functional g…

2018-01-19abs ↗pdf ↗

The burgeoning success of deep learning has raised the security and privacy concerns as more and more tasks are accompanied with sensitive data. Adversarial attacks in deep learning have emerged as one of the dominating security threat to a range of mission-critical deep learning systems and applications. This paper ta…

2018-06-29abs ↗pdf ↗

Enhances deep learning models to resist adversarial attacks.

problem Protecting deep learning models from adversarial examples.
method Combines two mechanisms: increased robustness at the cost of accuracy and improved accuracy without robustness guarantee.
result Combining mechanisms provides robustness against adversarial examples while maintaining accuracy.

A new method for estimating adversarial strategies in nonlinear systems.

problem Inferring an intelligent adversarial agent's strategy in highly nonlinear systems.
method Formulated inverse cognition as a nonlinear Gaussian state-space model and developed an inverse UKF (IUKF) system.
result The estimation error of IUKF converges and closely follows the recursive Cramér-Rao lower bound.