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Efficient Maximum Inner Product Search (MIPS) is an important task that has a wide applicability in recommendation systems and classification with a large number of classes. Solutions based on locality-sensitive hashing (LSH) as well as…

Machine Learning · Computer Science 2015-12-01 Alex Auvolat , Sarath Chandar , Pascal Vincent , Hugo Larochelle , Yoshua Bengio

We introduce PaCHash, a hash table that stores its objects contiguously in an array without intervening space, even if the objects have variable size. In particular, each object can be compressed using standard compression techniques. A…

Data Structures and Algorithms · Computer Science 2022-11-09 Florian Kurpicz , Hans-Peter Lehmann , Peter Sanders

The hybrid hiding encryption algorithm, as its name implies, embraces concepts from both steganography and cryptography. In this exertion, an improved micro-architecture Field Programmable Gate Array (FPGA) implementation of this algorithm…

Cryptography and Security · Computer Science 2011-11-09 Hala A. Farouk , Magdy Saeb

The $h$-version of the finite-element method ($h$-FEM) applied to the high-frequency Helmholtz equation has been a classic topic in numerical analysis since the 1990s. It is now rigorously understood that (using piecewise polynomials of…

Numerical Analysis · Mathematics 2026-05-25 Martin Averseng , Jeffrey Galkowski , Euan A. Spence

Kernel methods have been among the most popular techniques in machine learning, where learning tasks are solved using the property of reproducing kernel Hilbert space (RKHS). In this paper, we propose a novel data analysis framework with…

Machine Learning · Statistics 2021-12-22 Yuka Hashimoto , Isao Ishikawa , Masahiro Ikeda , Fuyuta Komura , Takeshi Katsura , Yoshinobu Kawahara

The $k$-means algorithm is arguably the most popular nonparametric clustering method but cannot generally be applied to datasets with incomplete records. The usual practice then is to either impute missing values under an assumed…

Machine Learning · Statistics 2018-09-11 Andrew Lithio , Ranjan Maitra

We describe several algorithms for matrix completion and matrix approximation when only some of its entries are known. The approximation constraint can be any whose approximated solution is known for the full matrix. For low rank…

Numerical Analysis · Mathematics 2014-07-01 Gil Shabat , Yaniv Shmueli , Amir Averbuch

Background: Short sequence substrings of a fixed length k, called k-mers, are a ubiquitous computational primitive in bioinformatics, used across sequence indexing, read mapping, genome assembly, metagenomic classification, and comparative…

Genomics · Quantitative Biology 2026-05-15 Lucas Czech

Hyperplane hashing aims at rapidly searching nearest points to a hyperplane, and has shown practical impact in scaling up active learning with SVMs. Unfortunately, the existing randomized methods need long hash codes to achieve reasonable…

Machine Learning · Computer Science 2012-06-22 Wei Liu , Jun Wang , Yadong Mu , Sanjiv Kumar , Shih-Fu Chang

This paper presents an accurate short-read mapper for next-generation sequencing data which is widely used in the 1000 Genomes Project, and human clinical and other species genome studies.

Genomics · Quantitative Biology 2015-06-17 Wan-Ping Lee , Michael Stromberg , Alistair Ward , Chip Stewart , Erik Garrison , Gabor T. Marth

With the advent of functional encryption, new possibilities for computation on encrypted data have arisen. Functional Encryption enables data owners to grant third-party access to perform specified computations without disclosing their…

Cryptography and Security · Computer Science 2024-01-19 Prajwal Panzade , Daniel Takabi

In the paper, we define the concept of the quantum hash generator and offer design, which allows to build a large amount of different quantum hash functions. The construction is based on composition of classical $\epsilon$-universal hash…

Quantum Physics · Physics 2015-01-22 Farid Ablayev , Marat Ablayev

Binary code similarity analysis (BCSA) is a crucial research area in many fields such as cybersecurity. Specifically, function-level diffing tools are the most widely used in BCSA: they perform function matching one by one for evaluating…

Cryptography and Security · Computer Science 2025-06-16 Zhijie Liu , Qiyi Tang , Sen Nie , Shi Wu , Liang Feng Zhang , Yutian Tang

Semidefinite programming optimises a linear objective function over a spectrahedron, and is one of the major advances of mathematical optimisation. Spectrahedra are described by linear pencils, which are linear matrix polynomials with…

Rings and Algebras · Mathematics 2019-10-08 Ben Lawrence

Nearest neighbors search is a fundamental problem in various research fields like machine learning, data mining and pattern recognition. Recently, hashing-based approaches, e.g., Locality Sensitive Hashing (LSH), are proved to be effective…

Information Retrieval · Computer Science 2012-05-15 Yue Lin , Deng Cai , Cheng Li

We investigate some connectedness properties of the set of points K(f) where the iterates of an entire function f are bounded. In particular, we describe a class of transcendental entire functions for which an analogue of the…

Dynamical Systems · Mathematics 2015-06-11 John Osborne

Fully Homomorphic Encryption (FHE) represents a paradigm shift in cryptography, enabling computation directly on encrypted data and unlocking privacy-critical computation. Despite being increasingly deployed in real platforms, the…

Cryptography and Security · Computer Science 2025-09-26 Rian Adam Rajagede , Yan Solihin

Analysis of entire programs as a single unit, or whole-program analysis, involves propagation of large amounts of information through the control flow of the program. This is especially true for pointer analysis, where, unless significant…

Data Structures and Algorithms · Computer Science 2025-10-28 Anamitra Ghorui , Uday P. Khedker

Minhashing is a technique used to estimate the Jaccard Index between two sets by exploiting the probability of collision in a random permutation. In order to speed up the computation, a random permutation can be approximated by using an…

Machine Learning · Computer Science 2014-01-25 Fabricio Olivetti de Franca

We show that a randomly chosen linear map over a finite field gives a good hash function in the $\ell_\infty$ sense. More concretely, consider a set $S \subset \mathbb{F}_q^n$ and a randomly chosen linear map $L : \mathbb{F}_q^n \to…

Combinatorics · Mathematics 2024-08-07 Manik Dhar , Zeev Dvir