# Attesting Distributional Properties of Training Data for Machine Learning

arXiv: https://arxiv.org/abs/2308.09552 · HTML: https://mlsanity.com/paper/2308.09552/

## Key facts

- Cited by 5 papers in the map (data through 14 Oct 2026).
- Builds on 30 of its 76 references that are in the map.
- First posted on arXiv 18 Aug 2023.

## Builds on (most cited first, 30 of 30)

- [Densely Connected Convolutional Networks](https://mlsanity.com/paper/1608.06993/) (2016)
- [Reliable evaluation of adversarial robustness with an ensemble of diverse parameter-free attacks](https://mlsanity.com/paper/2003.01690/) (2020)
- [Deep Sets](https://mlsanity.com/paper/1703.06114/) (2017)
- [Exploiting Unintended Feature Leakage in Collaborative Learning](https://mlsanity.com/paper/1805.04049/) (2018)
- [CrypTen: Secure Multi-Party Computation Meets Machine Learning](https://mlsanity.com/paper/2109.00984/) (2021)
- [Hacking Smart Machines with Smarter Ones: How to Extract Meaningful Data from Machine Learning Classifiers](https://mlsanity.com/paper/1306.4447/) (2013)
- [Unleashing the Tiger: Inference Attacks on Split Learning](https://mlsanity.com/paper/2012.02670/) (2020)
- [Proof-of-Learning: Definitions and Practice](https://mlsanity.com/paper/2103.05633/) (2021)
- [Chameleon: A Hybrid Secure Computation Framework for Machine Learning Applications](https://mlsanity.com/paper/1801.03239/) (2018)
- [Property Inference From Poisoning](https://mlsanity.com/paper/2101.11073/) (2021)
- [Leakage of Dataset Properties in Multi-Party Machine Learning](https://mlsanity.com/paper/2006.07267/) (2020)
- [Formalizing and Estimating Distribution Inference Risks](https://mlsanity.com/paper/2109.06024/) (2021)
- [Blind Justice: Fairness with Encrypted Sensitive Attributes](https://mlsanity.com/paper/1806.03281/) (2018)
- [Property Inference Attacks Against GANs](https://mlsanity.com/paper/2111.07608/) (2021)
- [SNAP: Efficient Extraction of Private Properties with Poisoning](https://mlsanity.com/paper/2208.12348/) (2022)
- [A Validity Perspective on Evaluating the Justified Use of Data-driven Decision-making Algorithms](https://mlsanity.com/paper/2206.14983/) (2022)
- [The Audio Auditor: User-Level Membership Inference in Internet of Things Voice Services](https://mlsanity.com/paper/1905.07082/) (2019)
- [Verifiable and Provably Secure Machine Unlearning](https://mlsanity.com/paper/2210.09126/) (2022)
- ["Adversarial Examples" for Proof-of-Learning](https://mlsanity.com/paper/2108.09454/) (2021)
- [Have you forgotten? A method to assess if machine learning models have forgotten data](https://mlsanity.com/paper/2004.10129/) (2020)
- [Distribution inference risks: Identifying and mitigating sources of leakage](https://mlsanity.com/paper/2209.08541/) (2022)
- [Fairness in the Eyes of the Data: Certifying Machine-Learning Models](https://mlsanity.com/paper/2009.01534/) (2020)
- [Secure Quantized Training for Deep Learning](https://mlsanity.com/paper/2107.00501/) (2021)
- [Dissecting Distribution Inference](https://mlsanity.com/paper/2212.07591/) (2022)
- [Proof-of-Learning is Currently More Broken Than You Think](https://mlsanity.com/paper/2208.03567/) (2022)
- [Protecting Global Properties of Datasets with Distribution Privacy Mechanisms](https://mlsanity.com/paper/2207.08367/) (2022)
- [Local Obfuscation Mechanisms for Hiding Probability Distributions](https://mlsanity.com/paper/1812.00939/) (2018)
- [EMA: Auditing Data Removal from Trained Models](https://mlsanity.com/paper/2109.03675/) (2021)
- [Black-Box Audits for Group Distribution Shifts](https://mlsanity.com/paper/2209.03620/) (2022)
- [Formalizing Distribution Inference Risks](https://mlsanity.com/paper/2106.03699/) (2021)

## Built on by (most cited first, 5 of 5)

- [SoK: Memorization in General-Purpose Large Language Models](https://mlsanity.com/paper/2310.18362/) (2023)
- [Verifiable Fine-Tuning for LLMs: Zero-Knowledge Training Proofs Bound to Data Provenance and Policy](https://mlsanity.com/paper/2510.16830/) (2025)
- [Robust Federated Learning via Byzantine Filtering over Encrypted Updates](https://mlsanity.com/paper/2602.05410/) (2026)
- [Certified in Theory, Broken in Practice: Assumption Gaps in Cryptographic Model Certification](https://mlsanity.com/paper/2607.21839/) (2026)
- [The Acknowledgment Point Is the System: Durable Policy-Decision Receipts for AI Audit Evidence](https://mlsanity.com/paper/2608.17176/) (2026)

## Abstract (arXiv)

The success of machine learning (ML) has been accompanied by increased concerns about its trustworthiness. Several jurisdictions are preparing ML regulatory frameworks. One such concern is ensuring that model training data has desirable distributional properties for certain sensitive attributes. For example, draft regulations indicate that model trainers are required to show that training datasets have specific distributional properties, such as reflecting diversity of the population. We propose the notion of property attestation allowing a prover (e.g., model trainer) to demonstrate relevant distributional properties of training data to a verifier (e.g., a customer) without revealing the data. We present an effective hybrid property attestation combining property inference with cryptographic mechanisms.
