Search Results for author: Marco Gaboardi

Found 21 papers, 5 papers with code

Stability is Stable: Connections between Replicability, Privacy, and Adaptive Generalization

no code implementations22 Mar 2023 Mark Bun, Marco Gaboardi, Max Hopkins, Russell Impagliazzo, Rex Lei, Toniann Pitassi, Satchit Sivakumar, Jessica Sorrell

In particular, we give sample-efficient algorithmic reductions between perfect generalization, approximate differential privacy, and replicability for a broad class of statistical problems.

PAC learning

On Incorrectness Logic and Kleene Algebra with Top and Tests

no code implementations17 Aug 2021 Cheng Zhang, Arthur Azevedo de Amorim, Marco Gaboardi

In his seminal work, Kozen proved that KAT subsumes propositional Hoare logic, showing that one can reason about the (partial) correctness of while programs by means of the equational theory of KAT.

Multiclass versus Binary Differentially Private PAC Learning

no code implementations NeurIPS 2021 Mark Bun, Marco Gaboardi, Satchit Sivakumar

We show a generic reduction from multiclass differentially private PAC learning to binary private PAC learning.

PAC learning

Covariance-Aware Private Mean Estimation Without Private Covariance Estimation

no code implementations NeurIPS 2021 Gavin Brown, Marco Gaboardi, Adam Smith, Jonathan Ullman, Lydia Zakynthinou

Each of our estimators is based on a simple, general approach to designing differentially private mechanisms, but with novel technical steps to make the estimator private and sample-efficient.

Empirical Risk Minimization in the Non-interactive Local Model of Differential Privacy

no code implementations11 Nov 2020 Di Wang, Marco Gaboardi, Adam Smith, Jinhui Xu

In our second attempt, we show that for any $1$-Lipschitz generalized linear convex loss function, there is an $(\epsilon, \delta)$-LDP algorithm whose sample complexity for achieving error $\alpha$ is only linear in the dimensionality $p$.

Facility Location Problem in Differential Privacy Model Revisited

no code implementations NeurIPS 2019 Yunus Esencayi, Marco Gaboardi, Shi Li, Di Wang

On the negative side, we show that the approximation ratio of any $\epsilon$-DP algorithm is lower bounded by $\Omega(\frac{1}{\sqrt{\epsilon}})$, even for instances on HST metrics with uniform facility cost, under the super-set output setting.

Estimating Smooth GLM in Non-interactive Local Differential Privacy Model with Public Unlabeled Data

no code implementations1 Oct 2019 Di Wang, Lijie Hu, Huanyu Zhang, Marco Gaboardi, Jinhui Xu

In the second part of the paper, we extend our idea to the problem of estimating non-linear regressions and show similar results as in GLMs for both multivariate Gaussian and sub-Gaussian cases.

LEMMA

Privacy Amplification by Mixing and Diffusion Mechanisms

no code implementations NeurIPS 2019 Borja Balle, Gilles Barthe, Marco Gaboardi, Joseph Geumlek

A fundamental result in differential privacy states that the privacy guarantees of a mechanism are preserved by any post-processing of its output.

Hypothesis Testing Interpretations and Renyi Differential Privacy

no code implementations24 May 2019 Borja Balle, Gilles Barthe, Marco Gaboardi, Justin Hsu, Tetsuya Sato

These conditions are useful to analyze the distinguishability power of divergences and we use them to study the hypothesis testing interpretation of some relaxations of differential privacy based on Renyi divergence.

Two-sample testing

Empirical Risk Minimization in Non-interactive Local Differential Privacy Revisited

no code implementations NeurIPS 2018 Di Wang, Marco Gaboardi, Jinhui Xu

In this paper, we revisit the Empirical Risk Minimization problem in the non-interactive local model of differential privacy.

Privacy Amplification by Subsampling: Tight Analyses via Couplings and Divergences

no code implementations NeurIPS 2018 Borja Balle, Gilles Barthe, Marco Gaboardi

Differential privacy comes equipped with multiple analytical tools for the design of private data analyses.

Local Private Hypothesis Testing: Chi-Square Tests

no code implementations ICML 2018 Marco Gaboardi, Ryan Rogers

We explore the design of private hypothesis tests in the local model, where each data entry is perturbed to ensure the privacy of each participant.

Two-sample testing

Empirical Risk Minimization in Non-interactive Local Differential Privacy: Efficiency and High Dimensional Case

no code implementations NeurIPS 2018 Di Wang, Marco Gaboardi, Jinhui Xu

In the case of constant or low dimensionality ($p\ll n$), we first show that if the ERM loss function is $(\infty, T)$-smooth, then we can avoid a dependence of the sample complexity, to achieve error $\alpha$, on the exponential of the dimensionality $p$ with base $1/\alpha$ (i. e., $\alpha^{-p}$), which answers a question in [smith 2017 interaction].

A Relational Logic for Higher-Order Programs

no code implementations15 Mar 2017 Alejandro Aguirre, Gilles Barthe, Marco Gaboardi, Deepak Garg, Pierre-Yves Strub

Relational program verification can be used for reasoning about a broad range of properties, including equivalence and refinement, and specialized notions such as continuity, information flow security or relative cost.

Programming Languages

PSI (Ψ): a Private data Sharing Interface

3 code implementations14 Sep 2016 Marco Gaboardi, James Honaker, Gary King, Jack Murtagh, Kobbi Nissim, Jonathan Ullman, Salil Vadhan

We provide an overview of PSI ("a Private data Sharing Interface"), a system we are developing to enable researchers in the social sciences and other fields to share and explore privacy-sensitive datasets with the strong privacy protections of differential privacy.

Cryptography and Security Computers and Society Methodology

Differentially Private Chi-Squared Hypothesis Testing: Goodness of Fit and Independence Testing

1 code implementation7 Feb 2016 Marco Gaboardi, Hyun woo Lim, Ryan Rogers, Salil Vadhan

We propose new tests for goodness of fit and independence testing that like the classical versions can be used to determine whether a given model should be rejected or not, and that additionally can ensure differential privacy.

Statistics Theory Cryptography and Security Statistics Theory

Really Natural Linear Indexed Type Checking

2 code implementations16 Mar 2015 Arthur Azevedo de Amorim, Emilio Jesús Gallego Arias, Marco Gaboardi, Justin Hsu

A natural way to enhance the expressiveness of this approach is by allowing the indices to depend on runtime information, in the spirit of dependent types.

Logic in Computer Science

Computer-aided verification in mechanism design

1 code implementation13 Feb 2015 Gilles Barthe, Marco Gaboardi, Emilio Jesús Gallego Arias, Justin Hsu, Aaron Roth, Pierre-Yves Strub

To address both concerns, we explore techniques from computer-aided verification to construct formal proofs of incentive properties.

Computer Science and Game Theory Logic in Computer Science

Higher-Order Approximate Relational Refinement Types for Mechanism Design and Differential Privacy

1 code implementation25 Jul 2014 Gilles Barthe, Marco Gaboardi, Emilio Jesús Gallego Arias, Justin Hsu, Aaron Roth, Pierre-Yves Strub

Unlike typical programmatic properties, it is not sufficient for algorithms to merely satisfy the property---incentive properties are only useful if the strategic agents also believe this fact.

Programming Languages Computer Science and Game Theory

Dual Query: Practical Private Query Release for High Dimensional Data

no code implementations6 Feb 2014 Marco Gaboardi, Emilio Jesús Gallego Arias, Justin Hsu, Aaron Roth, Zhiwei Steven Wu

We present a practical, differentially private algorithm for answering a large number of queries on high dimensional datasets.

Vocal Bursts Intensity Prediction

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