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Differential privacy (DP) has steadily become the de-facto standard for achieving privacy in data analysis, which is typically implemented either in the "central" or "local" model. The local model has been more popular for commercial…

Cryptography and Security · Computer Science 2020-03-11 Amrita Roy Chowdhury , Chenghong Wang , Xi He , Ashwin Machanavajjhala , Somesh Jha

We establish a connection between semi-primitive roots of the multiplicative group of integers modulo $2^{k}$ where $k\geq 3$, and the logarithmic base in the algorithm introduced by Fit-Florea and Matula (2004) for computing the discrete…

Number Theory · Mathematics 2023-01-12 Bianca Sosnovski

We demonstrate high fidelity single-qubit gate operation in a trapped single neutral atom. The atom is trapped in the recently invented magic-intensity optical dipole trap (MI-ODT) with more stable magnetic field. The MI-ODT efficiently…

Quantum Physics · Physics 2018-12-19 Cheng Sheng , Xiaodong He , Ruijun Guo , Kunpeng Wang , Peng Xu , Zongyuan Xiong , Min Liu , Jin Wang , Mingsheng Zhan

Sparse inner product (SIP) has the attractive property of overhead being dominated by the intersection of inputs between parties, independent of the actual input size. It has intriguing prospects, especially for boosting machine learning on…

Cryptography and Security · Computer Science 2022-10-18 Guowen Xu , Shengmin Xu , Jianting Ning , Tianwei Zhang , Xinyi Huang , Hongwei Li , Rongxing Lu

We propose a novel physical realization of a quantum computer. The qubits are electric dipole moments of ultracold diatomic molecules, oriented along or against an external electric field. Individual molecules are held in a 1-D trap array,…

Quantum Physics · Physics 2009-11-07 D. DeMille

An interesting challenge for the cryptography community is to design authentication protocols that are so simple that a human can execute them without relying on a fully trusted computer. We propose several candidate authentication…

Cryptography and Security · Computer Science 2016-09-13 Jeremiah Blocki , Manuel Blum , Anupam Datta , Santosh Vempala

Differential privacy (DP) is a widely-accepted and widely-applied notion of privacy based on worst-case analysis. Often, DP classifies most mechanisms without additive noise as non-private (Dwork et al., 2014). Thus, additive noises are…

Cryptography and Security · Computer Science 2023-12-14 Ao Liu , Yu-Xiang Wang , Lirong Xia

Prime factorization has been a buzzing topic in the field of number theory since time unknown. However, in recent years, alternative avenues to tackle this problem are being explored by researchers because of its direct application in the…

General Mathematics · Mathematics 2024-07-09 Mahadee Al Mobin , Md Kamrujjaman

In privacy-preserving machine learning, differentially private stochastic gradient descent (DP-SGD) performs worse than SGD due to per-sample gradient clipping and noise addition. A recent focus in private learning research is improving the…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Xinyu Tang , Ashwinee Panda , Vikash Sehwag , Prateek Mittal

We present $\mathsf{Miranda}$, the first family of full-domain-hash signatures based on matrix codes. This signature scheme fulfils the paradigm of Gentry, Peikert and Vaikuntanathan ($\mathsf{GPV}$), which gives strong security guarantees.…

Cryptography and Security · Computer Science 2025-10-10 Alain Couvreur , Thomas Debris-Alazard , Philippe Gaborit , Adrien Vinçotte

Training machine learning models with differential privacy (DP) has received increasing interest in recent years. One of the most popular algorithms for training differentially private models is differentially private stochastic gradient…

Machine Learning · Computer Science 2024-02-21 Ziteng Sun , Ananda Theertha Suresh , Aditya Krishna Menon

Machine learning models are often trained on sensitive data (e.g., medical records and race/gender) that is distributed across different "silos" (e.g., hospitals). These federated learning models may then be used to make consequential…

Machine Learning · Computer Science 2024-11-13 Devansh Gupta , A. S. Poornash , Andrew Lowy , Meisam Razaviyayn

We revisit the problem of secure aggregation of high-dimensional vectors in a two-server system such as Prio. These systems are typically used to aggregate vectors such as gradients in private federated learning, where the aggregate itself…

Cryptography and Security · Computer Science 2025-07-15 Hilal Asi , Vitaly Feldman , Hannah Keller , Guy N. Rothblum , Kunal Talwar

It is well known that the repeated square and multiply algorithm is an efficient way of modular exponentiation. The obvious question to ask is if this algorithm has an inverse which would calculate the discrete logarithm efficiently. The…

Number Theory · Mathematics 2009-07-02 H. Gopalkrishna Gadiyar , K M Sangeeta Maini , R. Padma , Mario Romsy

We propose a differentially private data generation paradigm using random feature representations of kernel mean embeddings when comparing the distribution of true data with that of synthetic data. We exploit the random feature…

Machine Learning · Computer Science 2021-06-02 Frederik Harder , Kamil Adamczewski , Mijung Park

This paper proposes the use of the binary primes sequence to strengthen pseudorandom (PN) decimal sequences for cryptography applications. The binary primes sequence is added to the PN decimal sequence (where one can choose from many…

Cryptography and Security · Computer Science 2016-06-02 B. Prashanth Reddy , Subhash Kak

In the context of cryptanalysis, computing discrete logarithms in large cyclic groups using index-calculus-based methods, such as the number field sieve or the function field sieve, requires solving large sparse systems of linear equations…

Cryptography and Security · Computer Science 2014-12-05 Hamza Jeljeli

As recently demonstrated, Deep Neural Networks (DNN), usually trained using single precision IEEE 754 floating point numbers (binary32), can also work using lower precision. Therefore, 16-bit and 8-bit compressed format have attracted…

In a distributed computing system for the master-worker framework, an erasure code can mitigate the effects of slow workers, also called stragglers. The distributed computing system combined with coding is referred to as coded computation.…

Information Theory · Computer Science 2018-12-05 Minchul Kim , Heecheol Yang , Jungwoo Lee

In today's data-driven world, the sensitivity of information has been a significant concern. With this data and additional information on the person's background, one can easily infer an individual's private data. Many differentially…

Machine Learning · Computer Science 2023-01-10 Devvrat Joshi , Janvi Thakkar