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A nonstandard application of bivariate polynomial interpolation is discussed: the implicitization of a rational algebraic curve given by its parametric equations. Three different approaches using the same interpolation space are considered,…

Numerical Analysis · Mathematics 2007-05-23 Ana Marco , Jose-Javier Martinez

Automated decision making is used routinely throughout our everyday life. Recommender systems decide which jobs, movies, or other user profiles might be interesting to us. Spell checkers help us to make good use of language. Fraud detection…

Machine Learning · Computer Science 2020-07-15 Alexander Jung , Pedro H. J. Nardelli

This paper investigates the algorithmic safety verification problem of infinite-state parameterized concurrent programs over a rich set of communication topologies. The goal is to automatically produce a proof of correctness in the form of…

Logic in Computer Science · Computer Science 2026-05-15 Ruotong Cheng , Azadeh Farzan

Previous studies have found that an adversary attacker can often infer unintended input information from intermediate-layer features. We study the possibility of preventing such adversarial inference, yet without too much accuracy…

Machine Learning · Computer Science 2020-01-15 Liyao Xiang , Haotian Ma , Hao Zhang , Yifan Zhang , Jie Ren , Quanshi Zhang

Internet supercomputing is an approach to solving partitionable, computation-intensive problems by harnessing the power of a vast number of interconnected computers. For the problem of using network supercomputing to perform a large…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-07-04 Seda Davtyan , Kishori M. Konwar , Alexander A. Shvartsman

We present a verification technique for program safety that combines Iterated Specialization and Interpolating Horn Clause Solving. Our new method composes together these two techniques in a modular way by exploiting the common Horn Clause…

Logic in Computer Science · Computer Science 2014-12-04 Emanuele De Angelis , Fabio Fioravanti , Jorge A. Navas , Maurizio Proietti

We propose variations of the class of hidden monomial cryptosystems in order to make it resistant to all known attacks. We use identities built upon a single bivariate polynomial equation with coefficients in a finite field. Indeed, it can…

Cryptography and Security · Computer Science 2007-05-23 Ilia Toli

In the past few years, the problem of distributed consensus has received a lot of attention, particularly in the framework of ad hoc sensor networks. Most methods proposed in the literature address the consensus averaging problem by…

Information Theory · Computer Science 2009-11-13 Effrosyni Kokiopoulou , Pascal Frossard

We derive algorithms for efficient secure numerical and logical operations using a recently introduced scheme for secure multi-party computation~\cite{sch15} in the semi-honest model ensuring statistical or perfect security. To derive our…

Cryptography and Security · Computer Science 2017-07-21 Johannes Schneider , Bin Lu

We propose a secure inference protocol for a distributed setting involving a single server node and multiple client nodes. We assume that the observed data vector is partitioned across multiple client nodes while the deep learning model is…

Cryptography and Security · Computer Science 2024-07-23 Shuangyi Chen , Yue Ju , Zhongwen Zhu , Ashish Khisti

When delegating computation to a service provider, as in cloud computing, we seek some reassurance that the output is correct and complete. Yet recomputing the output as a check is inefficient and expensive, and it may not even be feasible…

Data Structures and Algorithms · Computer Science 2015-03-19 Graham Cormode , Michael Mitzenmacher , Justin Thaler

The trustworthiness of modern networked services is too important to leave to chance. We need to design these services with specific properties in mind, and verify that the properties hold. In this paper, we argue that a compositional…

Networking and Internet Architecture · Computer Science 2020-09-29 Pamela Zave , Jennifer Rexford , John Sonchack

Recently, storage of huge volume of data into Cloud has become an effective trend in modern day Computing due to its dynamic nature. After storing, users deletes their original copy of the data files. Therefore users, cannot directly…

Networking and Internet Architecture · Computer Science 2020-04-16 Priodyuti Pradhan

Clustering is a popular unsupervised learning tool often used to discover groups within a larger population such as customer segments, or patient subtypes. However, despite its use as a tool for subgroup discovery and description - few…

Machine Learning · Computer Science 2021-12-13 Connor Lawless , Jayant Kalagnanam , Lam M. Nguyen , Dzung Phan , Chandra Reddy

Verification of fault-tolerant distributed protocols is an immensely difficult task. Often, in these protocols, thresholds on set cardinalities are used both in the process code and in its correctness proof, e.g., a process can perform an…

Programming Languages · Computer Science 2019-05-21 Idan Berkovits , Marijana Lazic , Giuliano Losa , Oded Padon , Sharon Shoham

In an Internet of Things network, multiple sensors send information to a fusion center for it to infer a public hypothesis of interest. However, the same sensor information may be used by the fusion center to make inferences of a private…

Information Theory · Computer Science 2017-06-30 Meng Sun , Wee Peng Tay , Xin He

Linear programming (LP) is an extremely useful tool which has been successfully applied to solve various problems in a wide range of areas, including operations research, engineering, economics, or even more abstract mathematical areas such…

Data Structures and Algorithms · Computer Science 2022-09-26 Agniva Chowdhury , Gregory Dexter , Palma London , Haim Avron , Petros Drineas

Consider a sparse multivariate polynomial f with integer coefficients. Assume that f is represented as a "modular black box polynomial", e.g. via an algorithm to evaluate f at arbitrary integer points, modulo arbitrary positive integers.…

Symbolic Computation · Computer Science 2024-01-01 Joris van der Hoeven , Grégoire Lecerf

Understanding human behavior from observed data is critical for transparency and accountability in decision-making. Consider real-world settings such as healthcare, in which modeling a decision-maker's policy is challenging -- with no…

Machine Learning · Statistics 2023-11-01 Alihan Hüyük , Daniel Jarrett , Mihaela van der Schaar

We consider the question of implementability of a social choice function in a classical setting where the preferences of finitely many selfish individuals with private information have to be aggregated towards a social choice. This is one…

Computational Complexity · Computer Science 2009-09-29 Clemens Thielen , Sven O. Krumke
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