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This work presents an algorithmic framework that uses linear programming to construct \emph{addition-based Private Information Retrieval (AB-PIR)} schemes, where retrieval is performed by downloading only linear combinations of message…

Information Theory · Computer Science 2025-01-22 Anoosheh Heidarzadeh , Ningze Wang , Alex Sprintson

The problem of computing a linear combination of sources over a multiple access channel is studied. Inner and outer bounds on the optimal tradeoff between the communication rates are established when encoding is restricted to random…

Information Theory · Computer Science 2018-10-30 Pinar Sen , Sung Hoon Lim , Young-Han Kim

Group oriented applications are getting more and more popular in mobile Internet and call for secure and efficient secret sharing (SS) scheme to meet their requirements. A $(t,n)$ threshold SS scheme divides a secret into $n$ shares such…

Cryptography and Security · Computer Science 2021-04-13 Fuyou Miao , Yue Yu , Keju Meng , Wenchao Huang , Yan Xiong

We consider a distributed learning setting where each agent/learner holds a specific parametric model and data source. The goal is to integrate information across a set of learners to enhance the prediction accuracy of a given learner. A…

Methodology · Statistics 2021-09-21 Jiaying Zhou , Jie Ding , Kean Ming Tan , Vahid Tarokh

We study a setting where a data holder wishes to share data with a receiver, without revealing certain summary statistics of the data distribution (e.g., mean, standard deviation). It achieves this by passing the data through a…

Cryptography and Security · Computer Science 2023-10-31 Zinan Lin , Shuaiqi Wang , Vyas Sekar , Giulia Fanti

We study parallel comparison-based algorithms for finding all equivalence classes of a set of $n$ elements, where sorting according to some total order is not possible. Such scenarios arise, for example, in applications, such as in…

Data Structures and Algorithms · Computer Science 2016-05-13 William E. Devanny , Michael T. Goodrich , Kristopher Jetviroj

Shamir's (n, k) threshold secret sharing is an important component of several cryptographic protocols, such as those for secure multiparty-computation and key management. These protocols typically assume the presence of direct communication…

Cryptography and Security · Computer Science 2014-10-23 Nihar B. Shah , K. V. Rashmi , Kannan Ramchandran

Detectability of failures of linear programming (LP) decoding and the potential for improvement by adding new constraints motivate the use of an adaptive approach in selecting the constraints for the underlying LP problem. In this paper, we…

Information Theory · Computer Science 2007-07-13 Mohammad H. Taghavi , Paul H. Siegel

Private information retrieval (PIR) considers the problem of retrieving a data item from a database or distributed storage system without disclosing any information about which data item was retrieved. Secure PIR complements this problem by…

Information Theory · Computer Science 2024-08-02 Okko Makkonen , David Karpuk , Camilla Hollanti

Secret sharing, in which a dealer wants to split a secret in such a way that any unauthorized subset of parties is unable to reconstruct it, plays a key role in cryptography. The security of quantum protocols for the task is guaranteed by…

Quantum Physics · Physics 2017-10-10 Kejin Wei , Xiuqing Yang , Haiqiang Ma , Changhua Zhu

We study the problem of achieving strong secrecy over wiretap channels at negligible cost, in the sense of maintaining the overall communication rate of the same channel without secrecy constraints. Specifically, we propose and analyze two…

Information Theory · Computer Science 2016-12-06 Remi A. Chou , Badri Vellambi , Matthieu Bloch , Joerg Kliewer

Parameter sharing, as an important technique in multi-agent systems, can effectively solve the scalability issue in large-scale agent problems. However, the effectiveness of parameter sharing largely depends on the environment setting. When…

Artificial Intelligence · Computer Science 2025-03-04 Dapeng Li , Na Lou , Bin Zhang , Zhiwei Xu , Guoliang Fan

It is well-known that the linear secret-sharing scheme (LSSS) can be constructed from linear error-correcting codes (Brickell [1], R.J. McEliece and D.V.Sarwate [2],Cramer, el.,[3]). The theory of linear codes from algebraic-geometric…

Cryptography and Security · Computer Science 2007-07-13 Hao Chen

We study the statistical design of a fair mechanism that attains equalized odds, where an agent uses some useful data (database) $X$ to solve a task $T$. Since both $X$ and $T$ are correlated with some latent sensitive attribute $S$, the…

Information Theory · Computer Science 2025-12-02 Amirreza Zamani , Ayfer Özgür , Mikael Skoglund

A distributed discrete-time algorithm is proposed for multi-agent networks to achieve a common least squares solution of a group of linear equations, in which each agent only knows some of the equations and is only able to receive…

Systems and Control · Computer Science 2017-10-02 Xuan Wang , Jingqiu Zhou , Shaoshuai Mou , Martin J. Corless

Motivated by the need to better understand the properties of sparse cutting-planes used in mixed integer programming solvers, the paper [2] studied the idealized problem of how well a polytope is approximated by the use of sparse valid…

Optimization and Control · Mathematics 2014-12-12 Santanu S. Dey , Andres Iroume , Marco Molinaro

To preserve data privacy, multi-party computation (MPC) enables executing Machine Learning (ML) algorithms on private data. However, MPC frameworks do not include optimized operations on sparse data. This absence makes them unsuitable for…

Cryptography and Security · Computer Science 2026-03-04 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

The design of a statistical signal processing privacy problem is studied where the private data is assumed to be observable. In this work, an agent observes useful data $Y$, which is correlated with private data $X$, and wants to disclose…

Information Theory · Computer Science 2023-09-19 Amirreza Zamani , Tobias J. Oechtering , Mikael Skoglund

Secret Sharing techniques are now the building blocks of several security protocols. A (t;n) threshold secret sharing scheme is one in which t or more participant can join together to retrieve the secret.Traditional single secret sharing…

Cryptography and Security · Computer Science 2016-04-01 V P Binu , A Sreekumar

The method of random projections has become very popular for large-scale applications in statistical learning, information retrieval, bio-informatics and other applications. Using a well-designed coding scheme for the projected data, which…

Machine Learning · Computer Science 2013-08-12 Ping Li , Michael Mitzenmacher , Anshumali Shrivastava