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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.

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3907801,1691,559 · Jun 202019922001200920172026
48 results for private agnostic learning

New method for private density estimation of high-dimensional Gaussian mixtures.

problem Private density estimation for mixtures of unrestricted high-dimensional Gaussians.
method Exploits list global stability to prove upper bound on sample complexity.
result First upper bound on sample complexity for agnostic private density estimation.

Improved private agnostic learning with near-optimal sample complexity.

problem Private agnostic learning with arbitrary privacy parameters.
method Near-optimal sample complexity construction.
result Near-optimal extra sample complexity of \(\widetilde{O}(\mathrm{VC}(\mathcal{C})/α^2)\) for any \(\varepsilon \leq 1\).

We revisit the problem of differentially private release of classification queries. In this problem, the goal is to design an algorithm that can accurately answer a sequence of classification queries based on a private training set while ensuring differential privacy. We formally study this problem in the agnostic PAC …

2019-07-31abs ↗pdf ↗

We consider learning problems where the training set consists of two types of examples: private and public. The goal is to design a learning algorithm that satisfies differential privacy only with respect to the private examples. This setting interpolates between private learning (where all examples are private) and cl…

2019-10-25abs ↗pdf ↗

Private distribution learning with public data, leveraging sample compression schemes.

problem Private distribution learning with public and private samples under differential privacy constraints.
method Connection to sample compression schemes and list learning.
result At least d public samples are necessary for private learnability of Gaussians in R^d.

New bounds for private learning of high-dimensional Gaussian distributions.

problem Learning high-dimensional Gaussian distributions under differential privacy constraints.
method Analytic tools for constructing global covers from local covers, modified hypothesis selection techniques.
result Near-optimal sample complexity bounds for general Gaussians, conjectured to be near-optimal in the general case.

New privacy-preserving learning model for mixtures of private and public data.

problem Learning from datasets with both private and public data, where privacy concerns differ.
method Designing a differential privacy-preserving learning algorithm for a mixture of private and public sub-populations.
result Linear classifiers can be learned with sample complexity comparable to non-private PAC-learning, even when privacy status correlates with labels.

Paper improves DP-ERM for binary linear classification with large-margin subsets.

problem Differentially private binary linear classification with large-margin subsets.
method Efficient (ε,δ)(\varepsilon,δ)-DP algorithm with empirical zero-one risk bound.
result Improved empirical zero-one risk bound for binary linear classification.

Privacy-preserving GNNs for graph data with sensitive node data.

problem Privacy concerns in learning node representations for graphs with sensitive data.
method Developed a privacy-preserving GNN learning algorithm based on Local Differential Privacy (LDP). Proposed an LDP encoder, an unbiased rectifier, and a denoising mechanism (KProp).
result Our method maintains a satisfying level of accuracy with low privacy loss.

Paper tightens privacy and generalization bounds for iterative learning.

problem Balancing privacy and generalization in iterative learning algorithms.
method Established alignment between generalization and privacy, derived composition theorems for iterative algorithms.
result Generalization bounds for iterative learning algorithms are strictly tighter than existing works.

First proper learning algorithm for Gaussian halfspaces with matching sample and computational complexity.

problem Agnostically learning halfspaces under Gaussian distribution.
method First proper learning algorithm with matching sample and computational complexity.
result First proper learning algorithm for agnostically learning halfspaces under Gaussian distribution with matching sample and computational complexity.

Private learning of Gaussian Mixture Models without boundedness assumptions.

problem Private estimation of parameters of Gaussian Mixture Models with unbounded components.
method Reduction to non-private problem, blackbox privatization, Moitra and Valiant's algorithm.
result First sample complexity upper bound and polynomial time algorithm for privately learning GMMs.

We study the relationship between the notions of differentially private learning and online learning in games. Several recent works have shown that differentially private learning implies online learning, but an open problem of Neel, Roth, and Wu \cite{NeelAaronRoth2018} asks whether this implication is {\it efficient}…

2019-05-27abs ↗pdf ↗

New findings show limitations in converting private learning to online learning efficiently.

problem Limitations in converting private learning to online learning efficiently.
method Assuming one-way functions, we show an efficient conversion from pure-private learners to online learners is impossible.
result Efficient conversion from pure-private learners to online learners is impossible under certain assumptions.

FedZKT enables resource-constrained devices to participate in federated learning with heterogeneous models.

problem Inequality in resource allocation hinders participation from resource-constrained devices in federated learning.
method Zero-shot knowledge transfer through a server-assigned distillation process.
result FedZKT effectively transfers knowledge across heterogeneous on-device models without requiring comparable local training efforts.

Improved differentially private deep learning with group-wise clipping techniques.

problem Efficiency and privacy trade-offs in deep learning models.
method Group-wise clipping techniques (per-layer and per-device) to reduce compute time and memory overhead.
result Private learning with group-wise clipping achieves similar or better performance than non-private learning with less wall time.

Algorithm selects public datasets for private machine learning.

problem Choosing the most suitable public dataset for private machine learning.
method Measures gradient subspace distance between public and private datasets.
result Excess risk scales with the subspace distance between gradients.

Private learning can perform well in high dimensions, contrary to known results.

problem When does differentially private learning not suffer in high dimensions?
method Introduced a condition called restricted Lipschitz continuity to derive improved bounds for excess empirical and population risks.
result Gradients in private fine-tuning of large models are mostly controlled by a few principal components, similar to conditions for convex settings.

Public pretraining improves private model training even in extreme distribution shift scenarios.

problem Improving private model training accuracy in settings with large distribution shift.
method Empirical evaluation and theoretical explanation of public representations improving private training accuracy.
result Public representations can improve private training accuracy by up to 67% over private training from scratch in settings with large distribution shift.

New private learning algorithms improve utility in tasks with public features.

problem Private learning with public features in recommendation and ad prediction.
method Developed algorithms that protect only certain sufficient statistics, improving utility for linear regression and private recommendation benchmarks.
result Achieved state-of-the-art performance on private recommendation benchmarks.

The study optimizes polynomial regression for learning under Gaussian distributions.

problem Agnostic learning of Boolean and real-valued functions under Gaussian distributions.
method LP duality and polynomial degree analysis for L1L^1-regression.
result Optimal SQ lower bounds for various function classes.

Differentially private hyperparameter tuning improves privacy in machine learning.

problem Hyperparameter tuning leaks private information through selected configurations.
method Local Bayesian optimization using Gaussian Process surrogate for private gradient approximation.
result DP-GIBO converges to locally optimal hyperparameters with polynomial dimensional dependence.

New algorithm learns disjunctions faster than previous methods.

problem Learning Boolean disjunctions in the agnostic PAC model.
method Developed an agnostic learner with complexity 2ildeO(n1/3)2^{ ilde{O}(n^{1/3})}.
result First separation between SQ and CSQ models in distribution-free agnostic learning.

DP-RandP improves privacy-utility tradeoff in DP-SGD by learning priors from random processes.

problem Improving the performance of differentially private stochastic gradient descent (DP-SGD) on private data.
method A three-phase approach that learns priors from images generated by random processes and transfers these priors to private data.
result New state-of-the-art accuracy on CIFAR10, CIFAR100, MedMNIST, and ImageNet for various privacy budgets.

New algorithms save computation in agnostic learning with membership queries.

problem Efficiently learning touchstone classes with membership queries.
method Designing agnostic learning algorithms for circuits with sublinear gates.
result Agnostic learning algorithms for circuits with sublinear gates achieve significant computational savings.

We show that every approximately differentially private learning algorithm (possibly improper) for a class HH with Littlestone dimension~dd requires Ω(log(d))Ω\bigl(\log^*(d)\bigr) examples. As a corollary it follows that the class of thresholds over N\mathbb{N} can not be learned in a private manner; this resolves open qu…

2018-06-04abs ↗pdf ↗

Optimizes differentially private kernel learning with random projection.

problem Privacy-preserving learning algorithms with optimal performance.
method Differentially private kernel ERM algorithm based on random projection in reproducing kernel Hilbert space.
result Achieves minimax-optimal excess risk rates for various loss functions.

Improved private learning of halfspaces with reduced sample complexity.

problem Private learning of halfspaces with reduced sample complexity.
method Iterative algorithm for solving linear feasibility problem, improving state-of-the-art results.
result Sample complexity reduced to d2.52logGd^{2.5} \cdot 2^{\log^*|G|}, improving d2d^2 factor.