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We show that some problems in information security can be solved without using one-way functions. The latter are usually regarded as a central concept of cryptography, but the very existence of one-way functions depends on difficult…

Cryptography and Security · Computer Science 2013-01-23 Dima Grigoriev , Vladimir Shpilrain

In secure multi-party computations (SMC), parties wish to compute a function on their private data without revealing more information about their data than what the function reveals. In this paper, we investigate two Shannon-type questions…

Information Theory · Computer Science 2017-05-25 Eun Jee Lee , Emmanuel Abbe

We systematically investigate the preservation of differential privacy in functional data analysis, beginning with functional mean estimation and extending to varying coefficient model estimation. Our work introduces a distributed learning…

Statistics Theory · Mathematics 2026-02-11 Gengyu Xue , Zhenhua Lin , Yi Yu

The shuffle model of differential privacy was proposed as a viable model for performing distributed differentially private computations. Informally, the model consists of an untrusted analyzer that receives messages sent by participating…

Cryptography and Security · Computer Science 2020-09-29 Amos Beimel , Iftach Haitner , Kobbi Nissim , Uri Stemmer

We consider information theoretic secret key agreement and secure function computation by multiple parties observing correlated data, with access to an interactive public communication channel. Our main result is an upper bound on the…

Information Theory · Computer Science 2015-06-01 Himanshu Tyagi , Shun Watanabe

This paper studies how a system operator and a set of agents securely execute a distributed projected gradient-based algorithm. In particular, each participant holds a set of problem coefficients and/or states whose values are private to…

Cryptography and Security · Computer Science 2018-05-24 Yang Lu , Minghui Zhu

In this paper, we address the problem of secure distributed computation in scenarios where user data is not uniformly distributed, extending existing frameworks that assume uniformity, an assumption that is challenging to enforce in data…

Information Theory · Computer Science 2025-01-28 Saar Tarnopolsky , Zirui , Deng , Vinayak Ramkumar , Netanel Raviv , Alejandro Cohen

We consider the coded caching problem with an additional privacy constraint that a user should not get any information about the demands of the other users. We first show that a demand-private scheme for $N$ files and $K$ users can be…

Information Theory · Computer Science 2021-01-19 Chinmay Gurjarpadhye , Jithin Ravi , Sneha Kamath , Bikash Kumar Dey , Nikhil Karamchandani

With the rapid increase in computing, storage and networking resources, data is not only collected and stored, but also analyzed. This creates a serious privacy problem which often inhibits the use of this data. In this chapter, we…

Cryptography and Security · Computer Science 2016-10-10 Yuan Hong , Jaideep Vaidya , Nicholas Rizzo , Qi Liu

We introduce the problem of Private Linear Transformation (PLT). This problem includes a single (or multiple) remote server(s) storing (identical copies of) $K$ messages and a user who wants to compute $L$ linear combinations of a…

Information Theory · Computer Science 2021-02-07 Nahid Esmati , Anoosheh Heidarzadeh , Alex Sprintson

We present a private information retrieval (PIR) scheme that allows a user to retrieve a single message from an arbitrary number of databases by colluding with other users while hiding the desired message index. This scheme is of particular…

Information Theory · Computer Science 2020-10-29 William Barnhart , Zhi Tian

We study the problem of interactive function computation by multiple parties possessing a single bit each in a differential privacy setting (i.e., there remains an uncertainty in any specific party's bit even when given the transcript of…

Cryptography and Security · Computer Science 2014-10-08 Peter Kairouz , Sewoong Oh , Pramod Viswanath

In order to both learn and protect sensitive training data, there has been a growing interest in privacy preserving machine learning methods. Differential privacy has emerged as an important measure of privacy. We are interested in the…

Cryptography and Security · Computer Science 2025-02-11 Antoine Barczewski , Amal Mawass , Jan Ramon

Due to statistical lower bounds on the learnability of many function classes under privacy constraints, there has been recent interest in leveraging public data to improve the performance of private learning algorithms. In this model,…

Machine Learning · Statistics 2024-02-16 Adam Block , Mark Bun , Rathin Desai , Abhishek Shetty , Steven Wu

We introduce Private Collection Matching (PCM) problems, in which a client aims to determine whether a collection of sets owned by a server matches their interests. Existing privacy-preserving cryptographic primitives cannot solve PCM…

Cryptography and Security · Computer Science 2022-12-15 Kasra EdalatNejad , Mathilde Raynal , Wouter Lueks , Carmela Troncoso

This paper considers the single-server Private Linear Transformation (PLT) problem when individual privacy is required. In this problem, there is a user that wishes to obtain $L$ linear combinations of a $D$-subset of messages belonging to…

Information Theory · Computer Science 2021-02-08 Nahid Esmati , Anoosheh Heidarzadeh , Alex Sprintson

A subset of a set of terminals that observe correlated signals seek to compute a given function of the signals using public communication. It is required that the value of the function be kept secret from an eavesdropper with access to the…

Information Theory · Computer Science 2010-07-20 Himanshu Tyagi , Prakash Narayan , Piyush Gupta

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

In the study of differential privacy, composition theorems (starting with the original paper of Dwork, McSherry, Nissim, and Smith (TCC'06)) bound the degradation of privacy when composing several differentially private algorithms. Kairouz,…

Computational Complexity · Computer Science 2016-06-01 Jack Murtagh , Salil Vadhan

In this paper, we study the multi-server setting of the \emph{Private Information Retrieval with Coded Side Information (PIR-CSI)} problem. In this problem, there are $K$ messages replicated across $N$ servers, and there is a user who…

Information Theory · Computer Science 2019-06-24 Fatemeh Kazemi , Esmaeil Karimi , Anoosheh Heidarzadeh , Alex Sprintson