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Integer variables allow the treatment of some portfolio optimization problems in a more realistic way and introduce the possibility of adding some natural features to the model. We propose an algebraic approach to maximize the expected…

Optimization and Control · Mathematics 2010-04-07 F. Castro , J. Gago , I. Hartillo , J. Puerto , J. M. Ucha

In the analysis of large/big data sets, aggregation (replacing values of a variable over a group by a single value) is a standard way of reducing the size (complexity) of the data. Data analysis programs provide different aggregation…

Machine Learning · Computer Science 2023-03-29 Vladimir Batagelj

This paper proposes a group membership verification protocol preventing the curious but honest server from reconstructing the enrolled signatures and inferring the identity of querying clients. The protocol quantizes the signatures into…

Cryptography and Security · Computer Science 2019-04-24 Marzieh Gheisari , Teddy Furon , Laurent Amsaleg , Behrooz Razeghi , Slava Voloshynovskiy

Distributed linearly separable computation is a fundamental problem in large-scale distributed systems, requiring the computation of linearly separable functions over different datasets across distributed workers. This paper studies a…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-16 Ziting Zhang , Kai Wan , Minquan Cheng , Shuo Shao , Giuseppe Caire

When implementing secure software, developers must ensure certain requirements, such as the erasure of secret data after its use and execution in real time. Such requirements are not explicitly captured by the C language and could…

Cryptography and Security · Computer Science 2019-07-08 A. P. Shivarpatna Venkatesh , A. Bhat Handadi , M. Mory

Recently, there has been a lot of effort to represent words in continuous vector spaces. Those representations have been shown to capture both semantic and syntactic information about words. However, distributed representations of phrases…

Computation and Language · Computer Science 2015-06-19 Rémi Lebret , Ronan Collobert

We consider the problem of estimating the arithmetic average of a finite collection of real vectors stored in a distributed fashion across several compute nodes subject to a communication budget constraint. Our analysis does not rely on any…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-24 Jakub Konečný , Peter Richtárik

Index coding is concerned with efficient broadcast of a set of messages to receivers in the presence of receiver side information. In this paper, we study the secure index coding problem with security constraints on the receivers…

Information Theory · Computer Science 2020-04-16 Yucheng Liu , Parastoo Sadeghi , Neda Aboutorab , Arman Sharififar

When writing high-performance code for numerical computation in a scripting language like MATLAB, it is crucial to have the operations in a large for-loop vectorized. If not, the code becomes too slow to use, even for a moderately large…

Mathematical Software · Computer Science 2024-04-26 Alexej Moskovka , Talal Rahman , Jan Valdman , Jon Eivind Vatne

Two user secure computation of randomized functions is considered, where only one user computes the output. Both the users are semi-honest; and computation is such that no user learns any additional information about the other user's input…

Cryptography and Security · Computer Science 2016-11-15 Deepesh Data

Given a basic compact semi-algebraic set $\K\subset\R^n$, we introduce a methodology that generates a sequence converging to the volume of $\K$. This sequence is obtained from optimal values of a hierarchy of either semidefinite or linear…

Optimization and Control · Mathematics 2015-05-13 Didier Henrion , Jean Bernard Lasserre , Carlo Savorgnan

We present a distributed solution to optimizing a convex function composed of several non-convex functions. Each non-convex function is privately stored with an agent while the agents communicate with neighbors to form a network. We show…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-19 Shripad Gade , Nitin H. Vaidya

We study optimal decision policies for integer linear programs with a fixed feasible set and varying cost vectors, represented as linear decision trees. Once synthesized for a given feasible set, they return an optimal solution for any…

Optimization and Control · Mathematics 2026-05-05 Théo Guyard , Cleber Oliveira , Maximilian Schiffer , Eduardo Uchoa , Thibaut Vidal

Linear algebra's main concerns are sets of vectors, linear functions, subspaces, linear systems, matrices and concepts about those, such as whether the solution of linear system exists or is unique; a set of vectors is linearly independent…

Symbolic Computation · Computer Science 2025-04-15 Iago Leal de Freitas , Júlia Mota , João Paixão , Lucas Rufino

We consider a linear dynamical system in which the state vector consists of both public and private states. One or more sensors make measurements of the state vector and sends information to a fusion center, which performs the final state…

Information Theory · Computer Science 2019-07-19 Yang Song , Chong Xiao Wang , Wee Peng Tay

We propose an ensemble algorithm, which provides a new approach for evaluating and summing up a set of function samples. The proposed algorithm is not a quantum algorithm, insofar it does not involve quantum entanglement. The query…

Quantum Physics · Physics 2009-11-07 C. D'Helon , V. Protopopescu

A structural graph summary is a small graph representation that preserves structural information necessary for a given task. The summary is used instead of the original graph to complete the task faster. We introduce multi-view structural…

Data Structures and Algorithms · Computer Science 2024-12-23 Jonatan Frank , Andor Diera , David Richerby , Ansgar Scherp

While new technologies emerge, human errors always looming. Software supply chain is increasingly complex and intertwined, the security of a service has become paramount to ensuring the integrity of products, safeguarding data privacy, and…

Cryptography and Security · Computer Science 2025-01-22 Vasileios Alevizos , George A Papakostas , Akebu Simasiku , Dimitra Malliarou , Antonis Messinis , Sabrina Edralin , Clark Xu , Zongliang Yue

In the All-Reduce problem, each one of the K nodes holds an input and wishes to compute the sum of all K inputs through a communication network where each pair of nodes is connected by a parallel link with arbitrary bandwidth. The…

Information Theory · Computer Science 2026-02-27 Yufeng Zhou , Hua Sun

We consider a Gaussian multiple access channel with $K$ transmitters, a (intended) receiver and an external eavesdropper. The transmitters wish to reliably communicate with the receiver while concealing their messages from the eavesdropper.…

Cryptography and Security · Computer Science 2015-04-23 Parisa Babaheidarian , Somayeh Salimi
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