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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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88176264352 · Jun 202019922001200920172026
48 results for approximate DP

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 DP optimization methods for sparse gradients, improving on existing algorithms.

problem Differentially private optimization with sparse gradients in high-dimensional settings.
method Improved bounds for mean estimation, pure- and approximate-DP algorithms for stochastic convex optimization.
result First nearly dimension-independent rates for DP optimization with sparse gradients.

Recent developments in differentially private (DP) machine learning and DP Bayesian learning have enabled learning under strong privacy guarantees for the training data subjects. In this paper, we further extend the applicability of DP Bayesian learning by presenting the first general DP Markov chain Monte Carlo (MCMC)…

2019-01-29abs ↗pdf ↗

Differentially private (DP) machine learning has recently become popular. The privacy loss of DP algorithms is commonly reported using (ε,δ)(\varepsilon,δ)-DP. In this paper, we propose a numerical accountant for evaluating the privacy loss for algorithms with continuous one dimensional output. This accountant can be appl…

2019-06-07abs ↗pdf ↗

This work improves privacy-generalization bounds for DP-SGD.

problem Understanding the trade-off between privacy and generalization in machine learning.
method Proved a linear max-information bound for DP-SGD, derived PAC-Bayes and generalization bounds.
result Explicit and controlled complexity terms for DP-SGD-trained models.

This paper provides a method for noise-calibrated inference from DP synthetic data.

problem Inference from DP synthetic data is often miscalibrated and lacks principled uncertainty quantification.
method Release DP sufficient statistics, perform noise-calibrated likelihood-based inference, and optional synthetic data generation.
result Asymptotic normality and valid confidence intervals for the plug-in DP MLE.

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.

A new DP algorithm improves privacy in hashing and sampling for search and learning.

problem Improving privacy in hashing and sampling for large-scale applications.
method Combines differential privacy with one permutation hashing and bin-wise consistent weighted sampling.
result Proposes DP-OPH and DP-BCWS algorithms that enhance privacy while maintaining utility.

Real Time Dynamic Programming (RTDP) is an online algorithm based on Dynamic Programming (DP) that acts by 1-step greedy planning. Unlike DP, RTDP does not require access to the entire state space, i.e., it explicitly handles the exploration. This fact makes RTDP particularly appealing when the state space is large and…

2019-09-10abs ↗pdf ↗

New algorithm improves privacy in high-dimensional machine learning models.

problem Privacy issues in learning large machine learning models.
method Differentially private greedy coordinate descent (DP-GCD) algorithm.
result Achieves logarithmic dependence on dimension for quasi-sparse solutions.

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.

DPMC improves inverse problem solving with MCMC, reducing error in noisy conditions.

problem Inaccurate posterior approximation in inverse problems with high noise levels.
method DPMC uses Annealed MCMC to sample through a series of intermediate distributions, reducing accumulated error.
result DPMC outperforms DPS in various inverse problems, reducing error and evaluations.

BNN-DP improves robustness analysis of Bayesian Neural Networks.

problem Ensuring robustness of Bayesian Neural Networks against adversarial attacks.
method Dynamic Programming applied to Bayesian Neural Networks as stochastic dynamical systems.
result BNN-DP provides tighter and more efficient bounds on prediction ranges compared to existing methods.

C-DPS improves diffusion posterior sampling for inverse problems without projection or likelihood approximation.

problem Inaccurate and unstable solutions in inverse problems due to complex or high-noise conditions.
method C-DPS introduces a forward stochastic process in measurement space evolving in parallel with data-space diffusion, leading to a closed-form posterior.
result C-DPS consistently outperforms existing methods across multiple inverse problem benchmarks.

DPDP combines neural heuristics with DP for vehicle routing problems.

problem Vehicle routing problems with large scale.
method Deep Policy Dynamic Programming (DPDP) that uses a neural network policy to prioritize and restrict the DP state space.
result DPDP improves upon classical DP algorithms and outperforms neural approaches for TSP, VRP, and TSPTW.

Improved DP-SGD for variational inference reduces noise and variance.

problem Poor convergence and high variance in variational parameter outputs due to gradient noise in DP-SGD.
method Introduced aligned gradients and iterate averaging to reduce DP-induced noise, and noise-aware posteriors.
result Less noisy gradient estimator and improved parameter estimates for variational inference.

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.

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.

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.

Paper studies statistical properties of DP data synthesis algorithms based on Bayesian networks.

problem Ensuring differential privacy in synthetic data generation for high-dimensional data.
method Introduces random noise to low-dimensional marginals of a probabilistic graphical model (BN) to achieve differential privacy.
result Establishes a rigorous accuracy guarantee for BN-based DP synthetic data generators using total variation (TV) distance.

A new method approximates the exact posterior score for diffusion models.

problem Training-free guidance of diffusion models for image restoration and inverse problems.
method Presented a novel expression for the exact posterior score, leveraging it to compute step sizes on the fly.
result Demonstrated competitive performance with fewer time steps compared to state-of-the-art techniques.

New DP-CD method outperforms DP-SGD in solving composite DP-ERM problems.

problem Privacy-preserving machine learning with differential privacy.
method Differentially Private proximal Coordinate Descent (DP-CD) for composite Empirical Risk Minimization (ERM).
result DP-CD outperforms DP-SGD due to larger step sizes and better gradient exploitation.

DOPPLER optimizes DP training with low-pass filtering, improving model accuracy.

problem Privacy concerns in deep learning models and performance degradation of DP optimizers.
method Developed DOPPLER, a low-pass filter for DP optimizers, to reduce privacy noise and enhance model quality.
result DOPPLER optimizers outperform non-DOPPLER counterparts by 3%-10% in test accuracy.

Paper develops a new method for differential privacy sampling using Wasserstein distance.

problem Sampling from distributions under differential privacy constraints with geometric structure consideration.
method Develops a novel framework with Wasserstein Projection Mechanism (WPM) for minimax optimal mechanisms.
result Proposes efficient algorithms for approximate computation of the Wasserstein Projection Mechanism.

Proactive DP optimizes privacy and utility in DP-SGD with a fixed privacy budget.

problem Balancing privacy and utility in differential privacy for machine learning.
method Proposes a pro-active DP framework that allows a-priori selection of DP-SGD parameters to maximize test accuracy.
result Proactive DP can optimize utility of DP-SGD with a fixed privacy budget (ε, δ).

This paper improves privacy accounting in decentralized FL using f-Differential Privacy.

problem Challenges in accurately quantifying privacy budget in decentralized FL.
method Develops two new f-DP-based accounting methods for decentralized FL.
result Yields tighter (ε,δ) bounds and improved utility compared to existing methods.

DP-Net uses dynamic programming for efficient deep neural network compression.

problem Efficiently compressing deep neural networks while maintaining accuracy.
method Dynamic Programming for optimal weight quantization and clustering-friendly training.
result Achieves up to 77X compression ratio on Wide ResNet with minimal accuracy loss.

This paper improves privacy bounds for DP algorithms using ff-DP.

problem Difficulty in analyzing randomness in DP algorithms due to mixture distributions.
method Derives a closed-form expression for trade-off functions and analyzes ff-DP.
result Enhances privacy of DP-GD with random initialization and shuffling models.