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A \textit{functional $k$-batch} code of dimension $s$ consists of $n$ servers storing linear combinations of $s$ linearly independent information bits. Any multiset request of size $k$ of linear combinations (or requests) of the information…

Information Theory · Computer Science 2021-10-19 Lev Yohananov , Eitan Yaakobi

Hashing methods have been recently found very effective in retrieval of remote sensing (RS) images due to their computational efficiency and fast search speed. The traditional hashing methods in RS usually exploit hand-crafted features to…

Computer Vision and Pattern Recognition · Computer Science 2021-01-07 Subhankar Roy , Enver Sangineto , Begüm Demir , Nicu Sebe

Recurrent neural networks (RNNs) provide state-of-the-art performance in processing sequential data but are memory intensive to train, limiting the flexibility of RNN models which can be trained. Reversible RNNs---RNNs for which the…

Machine Learning · Computer Science 2018-10-26 Matthew MacKay , Paul Vicol , Jimmy Ba , Roger Grosse

Data storage applications require erasure-correcting codes with prescribed sets of dependencies between data symbols and redundant symbols. The most common arrangement is to have $k$ data symbols and $h$ redundant symbols (that each depends…

Information Theory · Computer Science 2016-05-10 Guangda Hu , Sergey Yekhanin

The method of random projections has become a standard tool for machine learning, data mining, and search with massive data at Web scale. The effective use of random projections requires efficient coding schemes for quantizing (real-valued)…

Machine Learning · Statistics 2016-02-23 Ping Li , Michael Mitzenmacher , Anshumali Shrivastava

Minwise hashing is a fundamental and one of the most successful hashing algorithm in the literature. Recent advances based on the idea of densification~\cite{Proc:OneHashLSH_ICML14,Proc:Shrivastava_UAI14} have shown that it is possible to…

Data Structures and Algorithms · Computer Science 2017-03-16 Anshumali Shrivastava

A probabilistic secret sharing scheme is a joint probability distribution of the shares and the secret together with a collection of secret recovery functions. The study of schemes using arbitrary probability spaces and unbounded number of…

Cryptography and Security · Computer Science 2022-10-25 László Csirmaz

In coding for distributed storage systems, efficient data reconstruction and repair through accessing a predefined number of arbitrarily chosen storage nodes is guaranteed by regenerating codes. Traditionally, code parameters, specially the…

Information Theory · Computer Science 2018-01-01 Kaveh Mahdaviani , Soheil Mohajer , Ashish Khisti

In this work we study Invertible Bloom Lookup Tables (IBLTs) with small failure probabilities. IBLTs are highly versatile data structures that have found applications in set reconciliation protocols, error-correcting codes, and even the…

Data Structures and Algorithms · Computer Science 2024-11-27 Nils Fleischhacker , Kasper Green Larsen , Maciej Obremski , Mark Simkin

Semantic Hashing is a popular family of methods for efficient similarity search in large-scale datasets. In Semantic Hashing, documents are encoded as short binary vectors (i.e., hash codes), such that semantic similarity can be efficiently…

Information Retrieval · Computer Science 2020-07-02 Casper Hansen , Christian Hansen , Jakob Grue Simonsen , Stephen Alstrup , Christina Lioma

While exploring desirable properties of hash functions in cryptography, the author was led to investigate three notions of functions with scattering or "diffusive" properties, where the functions map between binary strings of fixed finite…

Information Theory · Computer Science 2021-02-10 Samer Seraj

The paper proposes a method to secure the Compressive Sensing (CS) streams. It consists in protecting part of the measurements by a secret key and inserting the code into the rest. The secret key is generated via a cryptographically secure…

Cryptography and Security · Computer Science 2025-05-30 Cristina-Elena Popa , Cristian Damian , Daniela Coltuc

Hashing methods have been widely investigated for fast approximate nearest neighbor searching in large data sets. Most existing methods use binary vectors in lower dimensional spaces to represent data points that are usually real vectors of…

Computer Vision and Pattern Recognition · Computer Science 2019-04-19 Dayong Tian , Dacheng Tao

MinHash and HyperLogLog are sketching algorithms that have become indispensable for set summaries in big data applications. While HyperLogLog allows counting different elements with very little space, MinHash is suitable for the fast…

Data Structures and Algorithms · Computer Science 2021-08-12 Otmar Ertl

Matrix completion and extrapolation (MCEX) are dealt with here over reproducing kernel Hilbert spaces (RKHSs) in order to account for prior information present in the available data. Aiming at a faster and low-complexity solver, the task is…

Machine Learning · Statistics 2019-10-02 Pere Giménez-Febrer , Alba Pagès-Zamora , Georgios B. Giannakis

Collision-resistant cryptographic hash functions (CRHs) are crucial for security, particularly for message authentication in Zero-knowledge Proof (ZKP) applications. However, traditional CRHs like SHA-2 or SHA-3, while optimized for CPUs,…

Cryptography and Security · Computer Science 2025-09-16 Nojan Sheybani , Tengkai Gong , Anees Ahmed , Nges Brian Njungle , Michel Kinsy , Farinaz Koushanfar

With the growth of image on the web, research on hashing which enables high-speed image retrieval has been actively studied. In recent years, various hashing methods based on deep neural networks have been proposed and achieved higher…

Computer Vision and Pattern Recognition · Computer Science 2019-05-23 Yosuke Kaga , Masakazu Fujio , Kenta Takahashi , Tetsushi Ohki , Masakatsu Nishigaki

Synthetic polymer-based storage seems to be a particularly promising candidate that could help to cope with the ever-increasing demand for archival storage requirements. It involves designing molecules of distinct masses to represent the…

Information Theory · Computer Science 2026-04-02 Anisha Banerjee , Antonia Wachter-Zeh , Eitan Yaakobi

Ideally, the time that an incremental algorithm uses to process a change should be a function of the size of the change rather than, say, the size of the entire current input. Based on a formalization of ``the set of things changed'' by an…

cmp-lg · Computer Science 2008-02-03 Mats Wirén

A hash function is constructed based on a three-layer neural network. The three neuron-layers are used to realize data confusion, diffusion and compression respectively, and the multi-block hash mode is presented to support the plaintext…

Cryptography and Security · Computer Science 2007-07-30 Shiguo Lian , Jinsheng Sun , Zhiquan Wang
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