English
Related papers

Related papers: Message Recovery Attack in NTRU via Knapsack

200 papers

The problem central to sparse recovery and compressive sensing is that of stable sparse recovery: we want a distribution of matrices A in R^{m\times n} such that, for any x \in R^n and with probability at least 2/3 over A, there is an…

Data Structures and Algorithms · Computer Science 2011-12-30 Eric Price , David P. Woodruff

Barnum, Crepeau, Gottesman, Tapp, and Smith (quant-ph/0205128) proposed methods for authentication of quantum messages. The first method is an interactive protocol (TQA') based on teleportation. The second method is a noninteractive…

Quantum Physics · Physics 2016-11-01 Patrick Hayden , Debbie W. Leung , Dominic Mayers

We consider the problem of recovering signals from their power spectral density. This is a classical problem referred to in literature as the phase retrieval problem, and is of paramount importance in many fields of applied sciences. In…

Information Theory · Computer Science 2013-11-12 Kishore Jaganathan , Samet Oymak , Babak Hassibi

We propose a stochastic first-order trust-region method with inexact function and gradient evaluations for solving finite-sum minimization problems. Using a suitable reformulation of the given problem, our method combines the inexact…

Optimization and Control · Mathematics 2022-10-25 Stefania Bellavia , Natasa Krejic , Benedetta Morini , Simone Rebegoldi

Multi-message private information retrieval (MPIR) is an interesting variation of PIR which allows a user to download multiple messages from the database without revealing the identity of the desired messages. Obviously, the user can…

Information Theory · Computer Science 2018-08-08 Chatdanai Dorkson , Siaw-Lynn Ng

$k$-Nearest neighbor machine translation ($k$NN-MT) has attracted increasing attention due to its ability to non-parametrically adapt to new translation domains. By using an upstream NMT model to traverse the downstream training corpus, it…

Computation and Language · Computer Science 2023-05-29 Zhiwei Cao , Baosong Yang , Huan Lin , Suhang Wu , Xiangpeng Wei , Dayiheng Liu , Jun Xie , Min Zhang , Jinsong Su

We consider the problem of recovering $n$ i.i.d samples from a zero mean multivariate Gaussian distribution with an unknown covariance matrix, from their modulo wrapped measurements, i.e., measurement where each coordinate is reduced modulo…

Information Theory · Computer Science 2021-09-21 Elad Romanov , Or Ordentlich

Peer-to-peer (P2P) networks have become popular as a new paradigm for information exchange and are being used in many applications such as file sharing, distributed computing, video conference, VoIP, radio and TV broadcasting. This…

Cryptography and Security · Computer Science 2013-08-12 Roohallah Rastaghi

We study the problem of maximizing a monotone submodular function subject to a Multiple Knapsack constraint. The input is a set $I$ of items, each has a non-negative weight, and a set of bins of arbitrary capacities. Also, we are given a…

Data Structures and Algorithms · Computer Science 2021-04-19 Yaron Fairstein , Ariel Kulik , Joseph , Naor , Danny Raz , Hadas Shachnai

We propose a robust and efficient approach to the problem of compressive phase retrieval in which the goal is to reconstruct a sparse vector from the magnitude of a number of its linear measurements. The proposed framework relies on…

Information Theory · Computer Science 2015-10-28 Sohail Bahmani , Justin Romberg

NTRU is one of the important lattice-based post-quantum cryptography methods, offering resistance against quantum computing attacks. However, a drawback of NTRU lies in its relatively low efficiency in generating key pairs. Therefore, this…

Cryptography and Security · Computer Science 2026-01-14 Abel C. H. Chen

Suppose we wish to recover a signal x in C^n from m intensity measurements of the form |<x,z_i>|^2, i = 1, 2,..., m; that is, from data in which phase information is missing. We prove that if the vectors z_i are sampled independently and…

Information Theory · Computer Science 2011-09-22 Emmanuel J. Candes , Thomas Strohmer , Vladislav Voroninski

In many applications, signals are measured according to a linear process, but the phases of these measurements are often unreliable or not available. To reconstruct the signal, one must perform a process known as phase retrieval. This paper…

Functional Analysis · Mathematics 2013-07-30 Matthew Fickus , Dustin G. Mixon , Aaron A. Nelson , Yang Wang

This paper considers a network where a node wishes to transmit a source message to a legitimate receiver in the presence of an eavesdropper. The transmitter secures its transmissions employing a sparse implementation of Random Linear…

Information Theory · Computer Science 2019-03-25 Andrea Tassi , Robert J. Piechocki , Andrew Nix

Non-negative matrix factorization is a popular tool for decomposing data into feature and weight matrices under non-negativity constraints. It enjoys practical success but is poorly understood theoretically. This paper proposes an algorithm…

Machine Learning · Computer Science 2016-11-15 Yuanzhi Li , Yingyu Liang , Andrej Risteski

This paper investigates the coded caching problem in a multi-access multiple-input single-output (MAMISO) network with the combinatorial topology. The considered system consists of a server containing $N$ files, $\Lambda$ cache nodes, and…

Information Theory · Computer Science 2026-01-19 Siying Luo , Youlong Wu , Mingming Zhang , Minquan Cheng , Dianhua Wu

Let us consider a case where all of the elements in some continuous slices are missing in tensor data. In this case, the nuclear-norm and total variation regularization methods usually fail to recover the missing elements. The key problem…

Computer Vision and Pattern Recognition · Computer Science 2018-04-06 Tatsuya Yokota , Burak Erem , Seyhmus Guler , Simon K. Warfield , Hidekata Hontani

It is very critical to analyze messages shared over social networks for cyber threat intelligence and cyber-crime prevention. In this study, we propose a method that leverages both domain-specific word embeddings and task-specific features…

Computation and Language · Computer Science 2019-06-04 Semih Yagcioglu , Mehmet Saygin Seyfioglu , Begum Citamak , Batuhan Bardak , Seren Guldamlasioglu , Azmi Yuksel , Emin Islam Tatli

This paper provides an explanation of NTRU, a post quantum encryption scheme, while also providing a gentle introduction to cryptography. NTRU is a very efficient lattice based cryptosystem that appears to be safe against attacks by quantum…

Cryptography and Security · Computer Science 2025-03-12 Liam Peet-Pare

Recovering a low-rank tensor from incomplete information is a recurring problem in signal processing and machine learning. The most popular convex relaxation of this problem minimizes the sum of the nuclear norms of the unfoldings of the…

Machine Learning · Statistics 2013-08-16 Cun Mu , Bo Huang , John Wright , Donald Goldfarb