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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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3876114152 · Jun 202019922001200920172026
48 results for Massart Noise

Solves learning halfspaces with Massart noise for log-concave distributions.

problem Learning halfspaces with Massart noise in distribution-specific PAC model.
method Identifies a smooth non-convex surrogate loss and uses SGD to solve the learning problem.
result First computationally efficient algorithm for learning halfspaces with Massart noise for a broad family of distributions.

Efficient algorithm for online learning with Massart noise achieves near-optimal mistake bound.

problem Online learning with adversarial context and Massart noise.
method Developed an efficient algorithm for γγ-margin linear classifiers in the presence of Massart noise.
result Achieved a mistake bound of ηT+o(T)ηT + o(T) for the online learning model.

New algorithm learns halfspaces with near-optimal sample complexity in noisy conditions.

problem Learning margin halfspaces with Massart noise.
method Computational efficient algorithm using online SGD on carefully selected convex losses.
result Sample complexity of Θ~(1/(γ2ε2))\widetilde{\Theta}(1/(γ^2 ε^2)), nearly matching lower bound.

Study learning halfspaces with Massart noise under Gaussian distribution, improving previous results.

problem Learning halfspaces with Massart noise under Gaussian distribution, especially when the parameter is 1/2.
method Developed algorithms for general and homogeneous halfspaces with sample and computational complexities.
result Established qualitatively matching lower bounds for the complexities of learning algorithms.

Paper addresses classification under misspecification, providing simpler algorithms and resolving open questions.

problem Learning halfspaces and generalized linear models under Massart noise and other corruption models.
method Developed simpler algorithms and used blackbox knowledge distillation to convert complex classifiers to proper ones. Leveraged evolvability for theoretical insights.
result First efficient algorithm for learning Massart halfspaces with η+εη+ ε accuracy, and general algorithm for generalized linear models.

We study the problem of {\em distribution-independent} PAC learning of halfspaces in the presence of Massart noise. Specifically, we are given a set of labeled examples (x,y)(\mathbf{x}, y) drawn from a distribution D\mathcal{D} on Rd+1\mathbb{R}^{d+1} such that the marginal distribution on the unlabeled points $\mathbf{x}…

2019-06-24abs ↗pdf ↗

The study sets limits on how well halfspaces can be learned when labels are corrupted.

problem Learning halfspaces in the presence of Massart noise.
method Statistical query (SQ) lower bounds.
result No SQ algorithm can achieve misclassification error better than the corruption rate ηη with superpolynomial accuracy or a superpolynomial number of queries.

New insights on robust learning under strong noise models.

problem Challenging label-noise models in robust learning.
method Extending statistical query framework to more general noise models and using evolutionary algorithms.
result First polynomial time algorithm for learning linear threshold functions with arbitrarily small excess error in presence of Tsybakov noise.

Efficient algorithm for learning halfspaces in a new model with polynomial time complexity.

problem Learning halfspaces in the testable learning model with distributional constraints.
method Developed new tests using labels and combined with moment-matching approach.
result Achieved near optimal error rates for Gaussian and strongly log-concave distributions.

Improved SGD for robust linear and ReLU regression with adversarial corruptions.

problem Robust regression with adversarial corruptions in streaming data.
method Stochastic gradient descent (SGD-exp) with exponentially decaying step size.
result Nearly linear convergence to true parameter with up to 50% Massart corruption rate.

New algorithms learn from comparisons to classify data robustly to noise.

problem Learning robust classifiers from noisy data efficiently.
method Introducing comparison queries to active learning, providing noise-tolerant classifiers.
result First time and query efficient algorithms for robust learning under bounded noise.

Study shows multi-distribution learning has slower rates than single-task learning.

problem Understanding the statistical complexity of learning from heterogeneous sources.
method Structured hypothesis-testing framework to capture the statistical cost of certifying near-optimality under bounded noise.
result Learning across multiple distributions incurs slow rates scaling with k/ε2k/ε^2, even under constant noise levels.

Strongly polynomial algorithm for approximate Forster transforms and halfspace learning.

problem Computing approximate Forster transforms and halfspace learning.
method Strongly polynomial time algorithm for approximate Forster transforms and halfspace learning.
result First strongly polynomial time algorithm for distribution-free PAC learning of halfspaces.

Study intersections of curves on translation surfaces, focusing on regular polygons and their Teichmüller disks.

problem Maximizing algebraic intersection between curves of given lengths.
method Investigate the quantity KVol defined for any closed orientable surface, focusing on regular n-gons for even n ≥ 8.
result Maximize algebraic intersection between curves of given lengths.

New method learns to generalize across different data domains efficiently.

problem Learning across different data domains with varying distributions.
method A theoretical model with multiple datasets from different domains, focusing on polynomial-sample complexity.
result Computational efficiency and polynomial-sample domain generalization are achievable.

This work analyzes label embedding for large multiclass classification problems.

problem Label embedding for large multiclass classification problems.
method Analysis of label embedding in extreme multiclass classification, presenting an excess risk bound and showing a trade-off between computational and statistical efficiency.
result The statistical penalty for label embedding vanishes with sufficiently low coherence under the Massart noise condition.

Universal tester-learner for halfspaces over structured distributions.

problem Learning halfspaces over a wide class of structured distributions.
method Uses a fully polynomial tester-learner based on hypercontractivity and sum-of-squares (SOS) programs.
result Achieves error O(opt)+εO(\mathrm{opt}) + ε on any labeled distribution that the tester accepts.

We consider the classical problem of learning rates for classes with finite VC dimension. It is well known that fast learning rates up to O(dn)O\left(\frac{d}{n}\right) are achievable by the empirical risk minimization algorithm (ERM) if low noise or margin assumptions are satisfied. These usually require the optimal Baye…

2019-10-28abs ↗pdf ↗

This research analyzes the consistency of convex and nonconvex surrogate losses for adversarially robust classification.

problem Ensuring classifiers are robust to adversarial perturbations.
method Analysis of convex and nonconvex surrogate losses through the lens of calibration.
result No convex surrogate loss is calibrated with respect to the adversarial 0-1 loss for linear models, but nonconvex losses can be calibrated under certain conditions.

Self-training algorithm improves classifier performance with labeled and unlabeled data.

problem Improving classifier performance with limited labeled data.
method Iterative learning of halfspaces, exploration and pruning phases.
result Misclassification error is bounded and never degrades compared to initial labeled set.

Random Fourier features classification achieves fast learning rates with fewer features.

problem Improving classification efficiency with fewer features.
method Utilizing Lipschitz continuous loss functions and regularity conditions, the study reduces the number of features required for classification.
result Random Fourier features classification can achieve O(1/n)O(1/\sqrt{n}) learning rate with only Ω(nlogn)Ω(\sqrt{n} \log n) features.

Birg{é} and Massart proposed in 2001 the slope heuristics as a way to choose optimally from data an unknown multiplicative constant in front of a penalty. It is built upon the notion of minimal penalty, and it has been generalized since to some "minimal-penalty algorithms". This paper reviews the theoretical results ob…

2019-01-22abs ↗pdf ↗

The study investigates noise effects on parameter estimation for Ornstein-Uhlenbeck processes.

problem Impact of noise on parameter fitting for Ornstein-Uhlenbeck processes.
method Proposed algorithms to distinguish between thermal and multiplicative noise.
result Effective methods to estimate parameters even when multiplicative noise dominates.

Noise in SGD affects overparameterized models, favoring sparse solutions.

problem Understanding and mitigating implicit bias in SGD with parameter-dependent noise.
method Theoretical analysis of a quadratically-parameterized model with label noise and Gaussian noise.
result SGD with label noise recovers sparse ground-truth solutions, while SGD with Gaussian noise overfits dense solutions.

L2R learns to denoise images without needing noise distribution knowledge.

problem Traditional denoising methods require noise distribution knowledge, limiting their applicability.
method L2R uses a learnable monotonic neural network to learn recorruption without distribution knowledge.
result L2R achieves state-of-the-art performance across various noise distributions.

Generative adversarial networks (GANs) are neural networks that learn data distributions through adversarial training. In intensive studies, recent GANs have shown promising results for reproducing training images. However, in spite of noise, they reproduce images with fidelity. As an alternative, we propose a novel fa…

2019-11-26abs ↗pdf ↗

We present a noise-injected version of the Expectation-Maximization (EM) algorithm: the Noisy Expectation Maximization (NEM) algorithm. The NEM algorithm uses noise to speed up the convergence of the EM algorithm. The NEM theorem shows that injected noise speeds up the average convergence of the EM algorithm to a local…

2018-01-12abs ↗pdf ↗

BeGIN benchmarks GNNs for instance-dependent label noise in graphs.

problem Instance-dependent label noise in graph data.
method BeGIN introduces a benchmark with various noise types and evaluates noise-handling strategies across GNN architectures.
result Challenges of instance-dependent noise, especially LLM-based corruption, and the importance of node-specific parameterization.

Enhanced consistency bounds derived for classification under a new noise condition.

problem Enhanced consistency bounds for classification under a new noise condition.
method Model Margin Noise (MM noise) assumption, derived enhanced H-consistency bounds.
result Enhanced H-consistency bounds under MM noise condition, interpolates between linear and square-root regimes.

Proposes a progressive label correction method for feature-dependent label noise.

problem Real-world large-scale datasets often suffer from heterogeneous, feature-dependent label noise.
method A progressive label correction algorithm that iteratively refines the model.
result A classifier trained with this strategy converges to be consistent with the Bayes classifier for various noise patterns.

New methods for handling time-varying label noise in time series classification.

problem Temporal label noise in time series classification tasks.
method Proposed methods to estimate temporal label noise function directly from data.
result Our methods lead to state-of-the-art performance under diverse types of temporal label noise.

Paper tackles online control of linear systems with unbounded noise.

problem Online control of linear systems under unbounded noise with unknown convex cost functions.
method Developed an algorithm achieving ildeO(T) ilde{O}(\sqrt{T}) high-probability regret under unbounded noise, and established O(mpoly(logT)) O({ m poly} (\log T)) regret bound for strongly convex costs and sub-Gaussian noise.
result Achieved ildeO(T) ilde{O}(\sqrt{T}) high-probability regret under unbounded noise, and O(mpoly(logT)) O({ m poly} (\log T)) regret bound for specific noise and cost conditions.

TrustNet robustly learns noise patterns from trusted data to improve weakly-supervised classification.

problem Robustness to label noise in weakly-supervised learning.
method TrustNet learns noise patterns from trusted data, then trains a robust classifier using these patterns.
result TrustNet outperforms state-of-the-art methods in robustness to various noise patterns.