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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.

168,694 papers · 148 categories

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79157236314 · Jun 202019922001200920172026
48 results for provably guaranteed

Framework for fair classification with noisy protected attributes and provable guarantees.

problem Fair classification with noisy protected attributes.
method Optimization framework for linear and linear-fractional fairness constraints, handling multiple non-binary attributes.
result Provably fair classifier with minimal accuracy loss, even with large noise.

Paper develops robust neural network sensors for fuel injection quantities.

problem Adversarial noise increases error in standard neural network models for fuel injection measurements.
method Apply provable robust network learning and verification methods to fuel injection measurements.
result Provable robust model reduces mean relative error to 16.5% under sensor noise.

Topic models provide a useful method for dimensionality reduction and exploratory data analysis in large text corpora. Most approaches to topic model inference have been based on a maximum likelihood objective. Efficient algorithms exist that approximate this objective, but they have no provable guarantees. Recently, a…

2012-12-19abs ↗pdf ↗

Proposes efficient stochastic algorithms for optimizing NDCG with provable convergence guarantees.

problem Efficient and provable stochastic methods for maximizing NDCG in deep learning models.
method Formulates novel compositional optimization problems, develops efficient stochastic algorithms with provable convergence guarantees, and proposes practical strategies.
result Stochastic algorithms with provable convergence guarantees for optimizing NDCG and its top-KK variant.

We give two provably accurate feature-selection techniques for the linear SVM. The algorithms run in deterministic and randomized time respectively. Our algorithms can be used in an unsupervised or supervised setting. The supervised approach is based on sampling features from support vectors. We prove that the margin i…

2014-06-01abs ↗pdf ↗

Black-box variational inference tries to approximate a complex target distribution though a gradient-based optimization of the parameters of a simpler distribution. Provable convergence guarantees require structural properties of the objective. This paper shows that for location-scale family approximations, if the targ…

2019-01-24abs ↗pdf ↗

New framework for fair classification in adversarial settings with provable guarantees.

problem Fairness in classification with adversarial perturbations of protected attributes.
method Optimization framework for learning fair classifiers with provable guarantees.
result Near-tightness of accuracy and fairness guarantees for multiple protected attributes and various hypothesis classes.

We solve ElasticNet regularization tuning across multiple instances with provable guarantees.

problem Tuning ElasticNet regularization coefficients across multiple problem instances.
method Characterized ElasticNet loss as a piecewise-rational function, derived structural complexity bounds, and showed generalization and online learning guarantees.
result First general learning-theoretic guarantees for ElasticNet tuning without strong data distribution assumptions.

We study the problem of subspace tracking in the presence of missing data (ST-miss). In recent work, we studied a related problem called robust ST. In this work, we show that a simple modification of our robust ST solution also provably solves ST-miss and robust ST-miss. To our knowledge, our result is the first `compl…

2018-10-06abs ↗pdf ↗

New framework provides privacy guarantees for practical federated learning.

problem Inadequate privacy guarantees for federated learning due to restrictive assumptions.
method Fed-α\alpha-NormEC, integrating multiple local updates, partial client participation, and standard assumptions.
result Provably convergent and differentially private federated learning framework.

Novel algorithm accelerates PnP methods for image deblurring and super-resolution.

problem Efficiently solving inverse problems and imaging with provable convergence guarantees.
method Incorporates quasi-Newton steps into provable PnP framework based on proximal denoisers.
result 2--8x faster convergence compared to other provable PnP methods with similar quality.

A new clustering method improves recovery guarantees by re-embedding data.

problem Improving recovery guarantees in clustering algorithms.
method Chaining four techniques: leapfrog distances, multidimensional scaling, spectral methods, and sum-of-norms clustering.
result Re-embedding data improves recovery guarantees of clustering.

Proves accuracy guarantees for self-supervised learning with correlated positive pairs.

problem Lack of theoretical guarantees for self-supervised learning with correlated positive pairs.
method Novel augmentation graph concept and spectral decomposition loss.
result Provably accurate features under linear probe evaluation.

PAC-Bayesian theory applied to learning optimization algorithms with generalization guarantees.

problem Learning optimization algorithms with provable generalization guarantees and explicit trade-offs.
method PAC-Bayes theory applied to learning-to-optimize, reformulating the learning procedure into a one-dimensional minimization problem.
result Learned optimization algorithms outperform deterministic worst-case analysis algorithms, even in the limit case of guaranteed convergence.

Paper analyzes InstaHide's security, recovering all private images with provable guarantee.

problem Protecting privacy of training data in neural networks.
method Unified framework to understand and analyze attacks on InstaHide, presenting a new algorithm to recover all private images with provable guarantee.
result InstaHide is computationally secure but not information-theoretically secure when mixing two private images.

Training certifiable neural networks enables one to obtain models with robustness guarantees against adversarial attacks. In this work, we introduce a framework to bound the adversary-free region in the neighborhood of the input data by a polyhedral envelope, which yields finer-grained certified robustness. We further …

2019-12-10abs ↗pdf ↗

Efficient RL algorithm for multinomial logistic MDPs with provable guarantees.

problem Model-based RL for episodic MDPs with unknown transition probabilities.
method Upper confidence bound-based algorithm for exploration-exploitation balance.
result Achieves ildeO(dH3T) ilde{O}(d \sqrt{H^3 T}) regret bound for multinomial logistic models.

Bayesian MAML outperforms MAML in meta learning tasks with theoretical guarantees.

problem Theoretical understanding of Bayesian MAML's superiority over MAML.
method Comparison of meta test risks between Bayesian MAML and MAML in meta linear regression.
result Bayesian MAML has provably lower meta test risks than MAML in both distribution agnostic and linear centroid cases.

New algorithm for online tensor factorization with provable guarantees.

problem Factorizing structured tensors with unknown factors and non-convex optimization.
method Online CP/PARAFAC decomposition via dictionary learning with incoherence and sparsity constraints.
result Exact recovery of tensor factors at a linear rate under mild conditions.

Proposes MIP, a privacy notion that requires less randomness than DP, leading to better utility.

problem Preserving privacy in machine learning models with sensitive data.
method Introduces membership inference privacy (MIP) as a new privacy notion and shows its relationship with differential privacy (DP).
result MIP can be achieved with less randomness than DP, resulting in better utility.

Proves efficient learning of hierarchical structure in meta-reinforcement learning.

problem Lack of provable guarantees for learning hierarchical structures in reinforcement learning.
method Analyzed HRL in meta-RL setting with tabular transition dynamics, providing diversity conditions and regret bounds.
result Sample-efficient recovery of natural hierarchical structure with provable guarantees.

A new principle and method improve out-of-distribution detection in generative models.

problem Out-of-distribution detection in deep generative models often fails due to poor likelihood estimates.
method Introducing the Likelihood Path (LPath) principle and new theoretical tools for OOD detection.
result Non-asymptotic provable OOD detection guarantees for variational autoencoders (VAEs).

Denoised smoothing defends pretrained classifiers against adversarial attacks.

problem Adversarial attacks on pretrained classifiers.
method Prepending a denoiser to any off-the-shelf classifier using randomized smoothing.
result Guaranteed p\ell_p-robustness to adversarial examples without modifying the pretrained classifier.

Recently, there has been considerable progress on designing algorithms with provable guarantees -- typically using linear algebraic methods -- for parameter learning in latent variable models. But designing provable algorithms for inference has proven to be more challenging. Here we take a first step towards provable i…

2016-05-27abs ↗pdf ↗

The paper tackles safe exploration in RL by a conservative safety critic.

problem Safe exploration in reinforcement learning (RL) when partially trained policies are deployed.
method Learning a conservative safety estimate through a critic, provably bounding catastrophic failures.
result The approach provably converges to competitive task performance with significantly lower catastrophic failure rates.

Paper solves NP-hard sparse mixed linear regression problem with provable guarantees.

problem Sparse mixed linear regression on unlabeled data.
method Invex relaxation for intractable problem with theoretical guarantees.
result Exact recovery of data labels and close approximation of regression parameters.

PARADE generates provably robust adversarial examples for deep networks.

problem Creating robust adversarial examples for deep neural networks.
method Iterative refinement of adversarial regions using optimization to ensure robustness under various perturbations.
result PARADE finds large, provably robust adversarial regions with high volume under various perturbations.