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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.

168,695 papers · 148 categories

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67134200267 · Jun 202019922001200920172026
48 results for pure differential privacy

Framework purifies approximate differential privacy to pure differential privacy.

problem Achieving pure differential privacy from approximate differential privacy.
method Randomized post-processing with calibrated noise to eliminate δ parameter.
result First statistically and computationally efficient reduction from approximate DP to pure DP.

New mechanism for pure differential privacy on functional summaries using Laplace-like process.

problem Challenges in achieving differential privacy for complex, structured functional summaries.
method Independent Component Laplace Process (ICLP) mechanism for infinite-dimensional Hilbert space.
result Effective enhancement of utility of private summaries through oversmoothing.

Novel mean estimation method under user-level differential privacy reduces noise in continual mean estimates.

problem Maintaining accurate running mean estimates under user-level differential privacy.
method Developed a novel mean estimation specific factorization under approximate differential privacy.
result Achieved asymptotically lower mean-squared error bounds in continual mean estimation.

Differential privacy is a statistical concept that can be explained through hypothesis testing.

problem Formalizing differential privacy as a statistical concept.
method Using David Blackwell's informativeness theorem, the paper shows differential privacy can be understood through hypothesis testing.
result The definition of ff-differential privacy provides a unified framework for analyzing privacy bounds.

Optimizes privacy-preserving optimization for heavy-tailed data.

problem Privacy-preserving optimization with heavy-tailed gradients.
method Pure ε-differential privacy framework for Lipschitz extensions.
result Minimax optimal excess-risk rate for pure ε-DP heavy-tailed SCO.

BCDP enhances privacy by protecting sensitive features more precisely.

problem Uniform privacy protection in LDP degrades performance for sensitive features.
method Bayesian Coordinate Differential Privacy (BCDP) adjusts privacy protection per feature sensitivity.
result BCDP improves accuracy in downstream tasks without sacrificing privacy.

Improved privacy-preserving methods for convex optimization with heavy-tailed data.

problem Privacy-preserving optimization of convex functions with heavy-tailed data.
method Developed algorithms for private mean estimation and convex optimization under concentrated differential privacy constraints.
result Achieved improved upper bounds on excess population risk for convex and strongly convex loss functions.

New algorithm reduces regret in private online learning with optimal gap-dependent rate.

problem Optimal gap-dependent regret rate for private stochastic decision-theoretic online learning.
method Horizon-free pure-DP algorithm with exponential block partitioning and softmax selection.
result Explicit regret bound of 1000(logKΔmin+logKε)1000 \cdot (\frac{\log K}{Δ_{\min}}+\frac{\log K}{\varepsilon}).

Private statistics estimation faces a bias, accuracy, and privacy trilemma.

problem Balancing privacy, accuracy, and bias in statistical estimation.
method Use differential privacy (DP) for private statistics, but clip samples to control sensitivity and add noise for privacy, introducing bias.
result No algorithm can simultaneously have low bias, low error, and low privacy loss for arbitrary distributions.

Privacy constraints affect learning Markov Random Fields differently.

problem Learning Markov Random Fields under differential privacy constraints.
method Algorithms for structure and parameter learning under pure, concentrated, and approximate differential privacy.
result Privacy constraints impose a strong separation between structure and parameter learning in high-dimensional data.

Study improves privacy-preserving online prediction from experts with speed-ups.

problem Privacy-preserving online prediction from experts with speed-ups.
method Differentially private federated online prediction algorithms.
result Achieves mm-fold regret speed-up with low-loss expert in federated setting.

Polynomial-time algorithm estimates mean with bounded covariance using differential privacy.

problem Estimating mean of a d-variate distribution with differential privacy constraints.
method Sum of Squares (SoS) exponential mechanism for polynomial-time differentially private estimation.
result First polynomial-time algorithm with O(d)O(d) samples for mean estimation under pure differential privacy.

Paper improves privacy bounds for shuffle model using novel numerical techniques.

problem Improving privacy guarantees in the shuffle model of differential privacy.
method Develops and evaluates numerical techniques for tighter (ε,δ)(\varepsilon,δ)-differential privacy bounds.
result Accurately evaluates privacy loss distribution for adaptive compositions of shufflers.

With the proliferation of mobile devices and the internet of things, developing principled solutions for privacy in time series applications has become increasingly important. While differential privacy is the gold standard for database privacy, many time series applications require a different kind of guarantee, and a…

2017-07-10abs ↗pdf ↗

New mechanism protects neural network weights from privacy attacks during self-supervised learning.

problem Privacy risks during fine-tuning stage of self-supervised learning.
method Proposes a novel differential privacy mechanism using additive logistic noise.
result Reduces membership inference attack accuracy to 50% while maintaining below 5% performance loss.

Privacy affects how much data is needed for CVaR optimization.

problem Privacy constraints impact the effective sample size for CVaR optimization.
method Analyzes the privacy-relevant sample size and decomposes CVaR excess risk.
result The effective private tail sample size is εnτ, affecting CVaR learning rates.

DP-SPRT improves privacy in sequential tests with near-optimal error rates.

problem Privacy constraints in sequential probability ratio tests.
method A wrapper for SPRT that uses a private mechanism to determine when to stop based on predefined intervals.
result DP-SPRT achieves near-optimal error rates and privacy guarantees.

AdaPrivate-TS: A differentially private Thompson Sampling algorithm for contextual bandits

problem Private Thompson Sampling for Contextual Bandits
method Combining Thompson Sampling with batched zCDP composition
result Achieves 93-99% of non-private performance at ε ∈ [0.5, 5] with logarithmic privacy cost

Study binary hypothesis testing with privacy and communication constraints.

problem Binary hypothesis testing under local differential privacy and communication constraints.
method Qualifies results as minimax or instance optimal, develops instance-optimal algorithms.
result Achieves minimum possible sample complexity under both privacy and communication constraints.

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 ↗

This work develops sampling methods for differential privacy using SHK geometry.

problem Approximating sampling for the exponential mechanism in differential privacy.
method Develops perturbation theory for SHK gradient flows and applies to differential privacy.
result Derives time-dependent Pure-DP guarantees and Approximate-DP certificates.

Private mean estimation with multiple samples requires a certain number of people to maintain privacy.

problem Private mean estimation with person-level differential privacy for multiple samples.
method The approach involves estimating the mean up to a distance α in ℓ_2-norm under ε-differential privacy, using algorithms based on the clip-and-noise framework and new analyses.
result The necessary and sufficient number of people to estimate the mean up to distance α in ℓ_2-norm is given by a specific formula.

We present a private learner for halfspaces over an arbitrary finite domain XRdX\subset \mathbb{R}^d with sample complexity mathrmpoly(d,2logX)mathrm{poly}(d,2^{\log^*|X|}). The building block for this learner is a differentially private algorithm for locating an approximate center point of m>poly(d,2logX)m>\mathrm{poly}(d,2^{\log^*|X|}) points -- a…

2019-02-27abs ↗pdf ↗

Through the lens of information-theoretic reductions, we examine a reductions approach to fair optimization and learning where a black-box optimizer is used to learn a fair model for classification or regression. Quantifying the complexity, both statistically and computationally, of making such models satisfy the rigor…

2019-06-23abs ↗pdf ↗

Improves privacy amplification by shuffling for differential privacy.

problem Enhancing privacy guarantees in systems with anonymous data contributions.
method Theoretical and numerical analysis of Rényi differential privacy parameters and privacy amplification by shuffling.
result First asymptotically optimal analysis of Rényi differential privacy parameters for shuffled outputs.

Addresses theoretical and practical aspects of Gaussian differential privacy.

problem Theoretical and practical challenges in privacy-preserving data analysis.
method Discussion of f-differential privacy and Gaussian differential privacy.
result Gaussian differential privacy can enhance privacy in various applications.

Optimal DP model training with public data improves privacy and accuracy.

problem Ensuring privacy while training models with public data.
method Proves optimal error rates for DP model training with public data, develops novel algorithms.
result Optimal error rates can be achieved by using public data or optimal DP algorithms.

Efficiently estimates prediction error in regression with Gaussian covariates under privacy constraints.

problem Private regression with Gaussian covariates under differential privacy constraints.
method Sum-of-Squares framework combined with robust estimators.
result Sample-optimal private regression algorithm with optimal error rates.

Improved privacy-preserving methods for estimating multiple samples from distributions.

problem Estimating multiple samples from distributions while maintaining privacy.
method Developed new multi-sampling techniques for differentially private data estimation.
result Achieved significant reduction in sample complexity for multi-sampling from finite domains and Gaussian distributions.

Proposes a privacy-preserving recommendation system using matrix factorization and differential privacy.

problem Privacy leakage in recommendation systems when anonymizing user data is not sufficient.
method Uses matrix factorization and differential privacy via the Gaussian mechanism.
result Demonstrates excellent utility for privacy-preserving recommendation systems.

New method reduces privacy impact on model accuracy for underrepresented groups.

problem Privacy mechanisms disproportionately affect underrepresented groups in machine learning models.
method Proposes DPSGD-F, a modified DPSGD that adjusts group contributions based on clipping bias.
result DPSGD-F removes disparate impact of differential privacy on model accuracy for protected groups.

This paper benchmarks privacy-preserving machine learning on medical images.

problem Ensuring privacy in medical image analysis while maintaining model accuracy.
method Comparing Local-DP and DP-SGD for differential privacy in medical imagery.
result Theoretical privacy guarantees do not fully align with real-world performance.

Differentially private algorithms protect model explanations from leaking training data.

problem Model explanations can leak training data, compromising privacy.
method Adaptive differentially private gradient descent algorithm to produce accurate, private explanations.
result Privacy amplification and reduction of overall privacy loss on explanation data.

Develops a computationally tractable high-dimensional differential privacy estimator.

problem Differential privacy in high dimensions is computationally intractable.
method Combines high-dimensional robust statistics with differential privacy techniques.
result A computationally tractable algorithm with dimension-independent privacy loss.