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Epsilon-Differential Privacy

Quantitative measure of privacy where epsilon (ε) represents the privacy loss parameter, with lower values indicating stronger protection but reduced data utility.

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Delta-Differential Privacy

Variant of differential privacy allowing a probability δ of privacy violation, used for mechanisms with weaker privacy guarantees but better utility.

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Laplace Mechanism

Basic algorithm for achieving differential privacy by adding noise drawn from a Laplace distribution calibrated according to the query function's sensitivity and epsilon parameter.

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Gaussian Mechanism

Alternative to the Laplace mechanism using a normal distribution to add noise, particularly suitable for vector queries and offering better composition properties.

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Sensitivity

Measure of the maximum impact a single individual can have on the result of a function, fundamental for calibrating the amount of noise needed in differential privacy mechanisms.

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Privacy Budget

Total amount of privacy loss (epsilon) allocated for a series of queries on sensitive data, managed to maintain overall privacy guarantees.

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Randomized Response

Historical technique for collecting private data where respondents randomly lie or tell the truth according to a predefined probability, precursor to modern local differential privacy methods.

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Composition Theorem

Mathematical principle defining how privacy guarantees compose when multiple differentially private mechanisms are applied sequentially to the same data.

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Local Differential Privacy

Privacy model where noise is added directly to the user's data before collection, eliminating the need to trust a centralized data collector.

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Global Differential Privacy

Approach where a trusted administrator applies differential privacy mechanisms on the complete database, generally offering better utility guarantees than local privacy.

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Private Aggregation

Techniques combining individual noisy contributions to produce privacy-preserving aggregated statistics, essential for differentially private counts and averages.

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Noise Calibration

Mathematical process determining the optimal amount of noise to add based on the function's sensitivity and the desired privacy level to maximize the utility of results.

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Post-processing Invariance

Fundamental property ensuring that applying any additional function to the result of a differentially private mechanism does not degrade the privacy guarantees.

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Exponential Mechanism

General differential privacy mechanism for non-numeric queries, selecting outputs according to an exponential distribution weighted by their quality with respect to the data.

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Rényi Differential Privacy

Generalization of differential privacy using Rényi divergence to measure privacy loss, offering more precise composition analyses and better intermediate guarantees.

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Differential Privacy Amplification

Phenomenon where privacy guarantees naturally improve when mechanisms are applied to random subsamples of data or combined with stochastic processes.

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Sparse Vector Technique

A differentially private method that allows determining whether a set of thresholds is exceeded without revealing the exact values, useful for adaptive analyses and pattern discovery.

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