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Machine learning models can leak information about the data used to train them. To mitigate this issue, Differentially Private (DP) variants of optimization algorithms like Stochastic Gradient Descent (DP-SGD) have been designed to…

Machine Learning · Computer Science 2022-10-24 Paul Mangold , Aurélien Bellet , Joseph Salmon , Marc Tommasi

Differential privacy (DP) is a compelling privacy definition that explains the privacy-utility tradeoff via formal, provable guarantees. Inspired by recent progress toward general-purpose data release algorithms, we propose a private…

Data Structures and Algorithms · Computer Science 2020-06-17 Benjamin Coleman , Anshumali Shrivastava

Pairings have been widely used since their introduction to cryptography. They can be applied to identity-based encryption, tripartite Diffie-Hellman key agreement, blockchain and other cryptographic schemes. The Acceleration of pairing…

Cryptography and Security · Computer Science 2021-09-16 Shiping Cai , Zhi Hu , Zheng-An Yao , Chang-An Zhao

We address the basic question in discrete Morse theory of combining discrete gradient fields that are partially defined on subsets of the given complex. This is a well-posed question when the discrete gradient field $V$ is generated using a…

Geometric Topology · Mathematics 2022-01-28 Douglas Lenseth , Boris Goldfarb

An important problem in deep learning is the privacy and security of neural networks (NNs). Both aspects have long been considered separately. To date, it is still poorly understood how privacy enhancing training affects the robustness of…

Cryptography and Security · Computer Science 2021-05-18 Franziska Boenisch , Philip Sperl , Konstantin Böttinger

In this paper, we evaluate the different fully homomorphic encryption schemes, propose an implementation, and numerically analyze the applicability of gradient descent algorithms to solve quadratic programming in a homomorphic encryption…

Cryptography and Security · Computer Science 2023-09-06 André Bertolace , Konstantinos Gatsis , Kostas Margellos

Secure Multi-Party Computation (MPC) is an important enabling technology for data privacy in modern distributed applications. Currently, proof methods for low-level MPC protocols are primarily manual and thus tedious and error-prone, and…

Cryptography and Security · Computer Science 2024-07-24 Christian Skalka , Joseph P. Near

Eker{\aa} and H{\aa}stad have introduced a variation of Shor's algorithm for the discrete logarithm problem (DLP). Unlike Shor's original algorithm, Eker{\aa}-H{\aa}stad's algorithm solves the short DLP in groups of unknown order. In this…

Cryptography and Security · Computer Science 2026-05-06 Martin Ekerå

Given a graph $G$ defined in a domain $\mathcal{G}$, we investigate locally differentially private mechanisms to release a degree sequence on $\mathcal{G}$ that accurately approximates the actual degree distribution. Existing solutions for…

Cryptography and Security · Computer Science 2025-07-16 Xiaojian Zhang , Junqing Wang , Kerui Chen , Peiyuan Zhao , Huiyuan Bai

Secure Multi-Party Computation (MPC) is an important enabling technology for data privacy in modern distributed applications. We develop a new type theory to automatically enforce correctness,confidentiality, and integrity properties of…

Cryptography and Security · Computer Science 2025-01-30 Christian Skalka , Joseph P. Near

Publishing graph statistics under node differential privacy has attracted much attention since it provides a stronger privacy guarantee than edge differential privacy. Existing works related to node differential privacy assume a trusted…

Cryptography and Security · Computer Science 2023-04-18 Shang Liu , Yang Cao , Takao Murakami , Masatoshi Yoshikawa

Some geometry on non-singular cubic curves, mainly over finite fields, is surveyed. Such a curve has 9,3,1 or 0 points of inflexion, and cubic curves are classified accordingly. The group structure and the possible numbers of rational…

Number Theory · Mathematics 2011-07-25 A. A. Bruen , J. W. P. Hirschfeld , D. L. Wehlau

Distance Metric Learning (DML) has drawn much attention over the last two decades. A number of previous works have shown that it performs well in measuring the similarities of individuals given a set of correctly labeled pairwise data by…

Machine Learning · Computer Science 2020-03-31 Jing Li , Yuangang Pan , Yulei Sui , Ivor W. Tsang

Link prediction (LP) algorithms propose to each node a ranked list of nodes that are currently non-neighbors, as the most likely candidates for future linkage. Owing to increasing concerns about privacy, users (nodes) may prefer to keep…

Social and Information Networks · Computer Science 2020-12-15 Abir De , Soumen Chakrabarti

Modern machine learning algorithms aim to extract fine-grained information from data to provide accurate predictions, which often conflicts with the goal of privacy protection. This paper addresses the practical and theoretical importance…

Machine Learning · Statistics 2023-07-17 Puyu Wang , Yunwen Lei , Yiming Ying , Ding-Xuan Zhou

A quantum generalized divergence by definition satisfies the data-processing inequality; as such, the relative decrease in such a divergence under the action of a quantum channel is at most one. This relative decrease is formally known as…

Quantum Physics · Physics 2025-11-06 Theshani Nuradha , Mark M. Wilde

The private collection of multiple statistics from a population is a fundamental statistical problem. One possible approach to realize this is to rely on the local model of differential privacy (LDP). Numerous LDP protocols have been…

Cryptography and Security · Computer Science 2023-08-02 Héber H. Arcolezi , Sébastien Gambs , Jean-François Couchot , Catuscia Palamidessi

Differential Privacy (DP) is a widely adopted technique, valued for its effectiveness in protecting the privacy of task-specific datasets, making it a critical tool for large language models. However, its effectiveness in Multimodal Large…

Cryptography and Security · Computer Science 2025-06-10 Qianshan Wei , Jiaqi Li , Zihan You , Yi Zhan , Kecen Li , Jialin Wu , Xinfeng Li Hengjun Liu , Yi Yu , Bin Cao , Yiwen Xu , Yang Liu , Guilin Qi

We study the Densest Subgraph (DSG) problem under the additional constraint of differential privacy. DSG is a fundamental theoretical question which plays a central role in graph analytics, and so privacy is a natural requirement. All known…

Data Structures and Algorithms · Computer Science 2024-04-09 Michael Dinitz , Satyen Kale , Silvio Lattanzi , Sergei Vassilvitskii

The privacy concerns associated with the use of Large Language Models (LLMs) have grown recently with the development of LLMs such as ChatGPT. Differential Privacy (DP) techniques are explored in existing work to mitigate their privacy…

Artificial Intelligence · Computer Science 2024-03-08 Tiejin Chen , Longchao Da , Huixue Zhou , Pingzhi Li , Kaixiong Zhou , Tianlong Chen , Hua Wei