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Differential privacy for the 2020 census required an estimated 90 terabytes of randomness [GL20], an amount which may be prohibitively expensive or entirely infeasible to generate. Motivated by these practical concerns, [CSV25] initiated…

Cryptography and Security · Computer Science 2025-10-22 Surendra Ghentiyala

Cryptographic primitives have been used for various non-cryptographic objectives, such as eliminating or reducing randomness and interaction. We show how to use cryptography to improve the time complexity of solving computational problems.…

Cryptography and Security · Computer Science 2025-04-23 Vinod Vaikuntanathan , Or Zamir

Recent years have shown that more than ever governments and intelligence agencies try to control and bypass the cryptographic means used for the protection of data. Backdooring encryption algorithms is considered as the best way to enforce…

Cryptography and Security · Computer Science 2017-02-22 Arnaud Bannier , Eric Filiol

Tensor-valued data, increasingly common in distributed big data applications like autonomous driving and smart healthcare, poses unique challenges for privacy protection due to its multidimensional structure and the risk of losing critical…

Cryptography and Security · Computer Science 2025-09-12 Yachao Yuan , Xiao Tang , Yu Huang , Yingwen Wu , Jin Wang

The discrete logarithm problem (DLP) is the basis for several cryptographic primitives. Since Shor's work, it has been known that the DLP can be solved by combining a polynomial-size quantum circuit and a polynomial-time classical…

Cryptography and Security · Computer Science 2022-08-31 Yoshinori Aono , Sitong Liu , Tomoki Tanaka , Shumpei Uno , Rodney Van Meter , Naoyuki Shinohara , Ryo Nojima

We propose a machine learning approach for quickly solving Mixed Integer Programs (MIP) by learning to prioritize a set of decision variables, which we call pseudo-backdoors, for branching that results in faster solution times.…

Machine Learning · Computer Science 2021-06-10 Aaron Ferber , Jialin Song , Bistra Dilkina , Yisong Yue

Private computation is a generalization of private information retrieval, in which a user is able to compute a function on a distributed dataset without revealing the identity of that function to the servers. In this paper it is shown that…

Information Theory · Computer Science 2019-06-27 Netanel Raviv , David A. Karpuk

For several decades, much effort has been put into identifying classes of CNF formulas whose satisfiability can be decided in polynomial time. Classic results are the linear-time tractability of Horn formulas (Aspvall, Plass, and Tarjan,…

Data Structures and Algorithms · Computer Science 2022-02-18 Jan Dreier , Sebastian Ordyniak , Stefan Szeider

A critically important component of most signal processing procedures is that of computing the distance between signals. In multi-party processing applications where these signals belong to different parties, this introduces privacy…

Cryptography and Security · Computer Science 2016-09-26 Abelino Jimenez , Bhiksha Raj

Key-value data is a naturally occurring data type that has not been thoroughly investigated in the local trust model. Existing local differentially private (LDP) solutions for computing statistics over key-value data suffer from the…

Cryptography and Security · Computer Science 2022-08-31 Thomas Humphries , Rasoul Akhavan Mahdavi , Shannon Veitch , Florian Kerschbaum

Semidefinite programming (SDP) is a powerful framework from convex optimization that has striking potential for data science applications. This paper develops a provably correct randomized algorithm for solving large, weakly constrained SDP…

Optimization and Control · Mathematics 2021-03-26 Alp Yurtsever , Joel A. Tropp , Olivier Fercoq , Madeleine Udell , Volkan Cevher

Train machine learning models on sensitive user data has raised increasing privacy concerns in many areas. Federated learning is a popular approach for privacy protection that collects the local gradient information instead of real data.…

Cryptography and Security · Computer Science 2021-05-24 Lichao Sun , Jianwei Qian , Xun Chen

We investigate the problem of maintaining an encoded distributed storage system when some nodes contain adversarial errors. Using the error-correction capabilities that are built into the existing redundancy of the system, we propose a…

Cryptography and Security · Computer Science 2015-03-17 Theodoros K. Dikaliotis , Alexandros G. Dimakis , Tracey Ho

The calculation of many and large Perrin pseudoprimes is a challenge. This is mainly due to their rarity. Perrin pseudoprimes are one of the rarest known pseudoprimes. In order to calculate many such large numbers, one needs not only a fast…

Numerical Analysis · Mathematics 2020-02-11 Holger Stephan

As society becomes more reliant on computers, cryptographic security becomes increasingly important. Current encryption schemes include the ElGamal signature scheme, which depends on the complexity of the discrete logarithm problem. It is…

Number Theory · Mathematics 2016-09-05 Abigail Mann

We revisit the problem of designing scalable protocols for private statistics and private federated learning when each device holds its private data. Locally differentially private algorithms require little trust but are (provably) limited…

In this work, we give a new technique for analyzing individualized privacy accounting via the following simple observation: if an algorithm is one-sided add-DP, then its subsampled variant satisfies two-sided DP. From this, we obtain…

Data Structures and Algorithms · Computer Science 2024-05-30 Badih Ghazi , Pritish Kamath , Ravi Kumar , Pasin Manurangsi , Adam Sealfon

Spiking Neural P systems are a class of membrane computing models inspired directly by biological neurons. Besides the theoretical progress made in this new computational model, there are also numerous applications of P systems in fields…

Cryptography and Security · Computer Science 2023-09-26 Mihail-Iulian Plesa , Marian Gheorghe , Florentin Ipate

When analysing Differentially Private (DP) machine learning pipelines, the potential privacy cost of data-dependent pre-processing is frequently overlooked in privacy accounting. In this work, we propose a general framework to evaluate the…

Cryptography and Security · Computer Science 2024-06-24 Yaxi Hu , Amartya Sanyal , Bernhard Schölkopf

In this brief note we connect the discrete logarithm problem over prime fields in the safe prime case to the logarithmic derivative.

Number Theory · Mathematics 2017-02-24 H. Gopalakrishna Gadiyar , R. Padma