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In this paper we present a method for reformulating the Recommender Systems problem in an Information Retrieval one. In our tests we have a dataset of users who give ratings for some movies; we hide some values from the dataset, and we try…

Information Retrieval · Computer Science 2011-06-03 Alberto Costa , Fabio Roda

The main contribution of this paper is the development of a new decision tree algorithm. The proposed approach allows users to guide the algorithm through the data partitioning process. We believe this feature has many applications but in…

Machine Learning · Statistics 2020-10-27 Cédric Beaulac , Jeffrey S. Rosenthal

This paper presents a recursive computational multi-secret sharing technique that hides k-2 secrets of size b each into n shares of a single secret S of size b, such that any k of the n shares suffice to recreate the secret S as well as all…

Cryptography and Security · Computer Science 2010-01-20 Abhishek Parakh , Subhash Kak

Matrix factorization is one of the most commonly used technologies in recommendation system. With the promotion of recommendation system in e-commerce shopping, online video and other aspects, distributed recommendation system has been…

Machine Learning · Computer Science 2020-08-19 Senci Ying

Finding the minimum distance of linear codes is an NP-hard problem. Traditionally, this computation has been addressed by means of the design of algorithms that find, by a clever exhaustive search, a linear combination of some generating…

Information Theory · Computer Science 2020-11-02 M. P. Cuéllar , J. Gómez-Torrecillas , F. J. Lobillo , G. Navarro

In the context of the compressed sensing problem, we propose a new ensemble of sparse random matrices which allow one (i) to acquire and compress a {\rho}0-sparse signal of length N in a time linear in N and (ii) to perfectly recover the…

Information Theory · Computer Science 2013-04-15 Maria Chiara Angelini , Federico Ricci-Tersenghi , Yoshiyuki Kabashima

We describe an algorithm, implemented in Python, which can enumerate any permutation class with polynomial enumeration from a structural description of the class. In particular, this allows us to find formulas for the number of permutations…

Combinatorics · Mathematics 2015-11-17 Cheyne Homberger , Vince Vatter

Presented here is a matrix inversion method utilizing quantum searching algorithm. In this method, huge Hilbert space as a whole spanned by myriad of eigen states is searched and evaluated efficiently by sequential reduction in dimension…

Quantum Physics · Physics 2007-05-23 Atsushi Miyauchi

This paper examines the problem of locating outlier columns in a large, otherwise low-rank, matrix. We propose a simple two-step adaptive sensing and inference approach and establish theoretical guarantees for its performance; our results…

Information Theory · Computer Science 2015-06-22 Xingguo Li , Jarvis Haupt

Data imputation, the process of filling in missing feature elements for incomplete data sets, plays a crucial role in data-driven learning. A fundamental belief is that data imputation is helpful for learning performance, and it follows…

Machine Learning · Computer Science 2025-09-30 Ruikai Yang , Fan He , Mingzhen He , Kaijie Wang , Xiaolin Huang

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

Finding a suitable measurement matrix is an important topic in compressed sensing. Though the known random matrix, whose entries are drawn independently from a certain probability distribution, can be used as a measurement matrix and…

Information Theory · Computer Science 2013-07-09 Yi-Zheng Fan , Tao Huang , Ming Zhu

Motivated by crowd-sourcing applications, we consider a model where we have partial observations from a bivariate isotonic n x d matrix with an unknown permutation $\pi$ * acting on its rows. Focusing on the twin problems of recovering the…

Statistics Theory · Mathematics 2023-03-31 Emmanuel Pilliat , Alexandra Carpentier , Nicolas Verzelen

Masking methods for the safe dissemination of microdata consist of distorting the original data while preserving a pre-defined set of statistical properties in the microdata. For continuous variables, available methodologies rely…

Cryptography and Security · Computer Science 2017-12-08 Nicolas Ruiz

Indexes are the best apposite choice for quickly retrieving the records. This is nothing but cutting down the number of Disk IO. Instead of scanning the complete table for the results, we can decrease the number of IO's or page fetches…

Databases · Computer Science 2019-03-21 Sourav Mukherjee

This paper investigates the construction of deterministic matrices preserving the entropy of random vectors with a given probability distribution. In particular, it is shown that for random vectors having i.i.d. discrete components, this is…

Information Theory · Computer Science 2015-03-20 Saeid Haghighatshoar , Emmanuel Abbe , Emre Telatar

This article surveys the procedures used for deriving detector transfer functions and normalizing probability densities for the statistical analysis technique known as the "matrix element method" in the context of high energy physics (HEP)…

Data Analysis, Statistics and Probability · Physics 2011-01-13 Igor Volobouev

Homomorphic encryption (HE) enables computation over encrypted data but incurs a substantial overhead. For sparse-matrix vector multiplication, the widely used Halevi and Shoup (2014) scheme has a cost linear in the number of occupied…

Cryptography and Security · Computer Science 2026-04-07 Kemal Mutluergil , Deniz Elbek , Kamer Kaya , Erkay Savaş

Spectra of ordered eigenvalues of finite Random Matrices are interpreted as a time series. Dataadaptive techniques from signal analysis are applied to decompose the spectrum in clearly differentiated trend and fluctuation modes, avoiding…

Chaotic Dynamics · Physics 2013-12-12 Ruben Fossion , Gamaliel Torres Vargas , Juan Carlos López Vieyra

We propose a method to reconstruct and cluster incomplete high-dimensional data lying in a union of low-dimensional subspaces. Exploring the sparse representation model, we jointly estimate the missing data while imposing the intrinsic…

Computer Vision and Pattern Recognition · Computer Science 2017-09-06 João Carvalho , Manuel Marques , João P. Costeira