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We introduce a fast and memory efficient approach to compute the persistent homology (PH) of a sequence of simplicial complexes. The basic idea is to simplify the complexes of the input sequence by using strong collapses, as introduced by…

Computational Geometry · Computer Science 2018-10-01 Jean-Daniel Boissonnat , Siddharth Pritam , Divyansh Pareek

In many important applications -- such as search engines and relational database systems -- data is stored in the form of arrays of integers. Encoding and, most importantly, decoding of these arrays consumes considerable CPU time.…

Information Retrieval · Computer Science 2021-02-02 Daniel Lemire , Leonid Boytsov

Recently, $\varepsilon$-almost dual universal$_2$ hash functions has been proposed as a new and wider class of hash functions. Using this class of hash functions, several efficient hash functions were proposed. This paper evaluates the…

Information Theory · Computer Science 2016-09-28 Masahito Hayashi

We investigate distributed memory parallel sorting algorithms that scale to the largest available machines and are robust with respect to input size and distribution of the input elements. The main outcome is that four sorting algorithms…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-17 Michael Axtmann , Peter Sanders

We introduce linear probing hashing schemes that construct a hash table of size $n$, with constant load factor $\alpha$, on which the worst-case unsuccessful search time is asymptotically almost surely $O(\log \log n)$. The schemes employ…

Data Structures and Algorithms · Computer Science 2023-09-20 Ketan Dalal , Luc Devroye , Ebrahim Malalla

A string matching -- and more generally, sequence matching -- algorithm is presented that has a linear worst-case computing time bound, a low worst-case bound on the number of comparisons (2n), and sublinear average-case behavior that is…

Data Structures and Algorithms · Computer Science 2008-10-02 David R. Musser , Gor V. Nishanov

$k$-means++ \cite{arthur2007k} is a widely used clustering algorithm that is easy to implement, has nice theoretical guarantees and strong empirical performance. Despite its wide adoption, $k$-means++ sometimes suffers from being slow on…

Machine Learning · Computer Science 2020-12-23 Vincent Cohen-Addad , Silvio Lattanzi , Ashkan Norouzi-Fard , Christian Sohler , Ola Svensson

Sequence tagging models for constituent parsing are faster, but less accurate than other types of parsers. In this work, we address the following weaknesses of such constituent parsers: (a) high error rates around closing brackets of long…

Computation and Language · Computer Science 2019-10-15 David Vilares , Mostafa Abdou , Anders Søgaard

This paper considers the basic question of how strong of a probabilistic guarantee can a hash table, storing $n$ $(1 + \Theta(1)) \log n$-bit key/value pairs, offer? Past work on this question has been bottlenecked by limitations of the…

Data Structures and Algorithms · Computer Science 2022-09-19 William Kuszmaul

At CCS 2015 Naveed et al. presented first attacks on efficiently searchable encryption, such as deterministic and order-preserving encryption. These plaintext guessing attacks have been further improved in subsequent work, e.g. by Grubbs et…

Cryptography and Security · Computer Science 2017-09-28 Florian Kerschbaum , Anselme Tueno

Many different approaches for neural network based hash functions have been proposed. Statistical analysis must correlate security of them. This paper proposes novel neural hashing approach for gray scale image authentication. The suggested…

Cryptography and Security · Computer Science 2017-03-03 Yakup Kutlu , Apdullah Yayık

A function $f : U \to \{0,\ldots,n-1\}$ is a minimal perfect hash function for a set $S \subseteq U$ of size $n$, if $f$ bijectively maps $S$ into the first $n$ natural numbers. These functions are important for many practical applications…

Data Structures and Algorithms · Computer Science 2023-08-08 Giulio Ermanno Pibiri , Roberto Trani

Embedding image features into a binary Hamming space can improve both the speed and accuracy of large-scale query-by-example image retrieval systems. Supervised hashing aims to map the original features to compact binary codes in a manner…

Machine Learning · Computer Science 2016-11-17 Guosheng Lin , Chunhua Shen , Anton van den Hengel

Modern machine learning forces practitioners to choose between powerful but expensive deep networks and fast but limited classical algorithms. Here we introduce Soft Learning, a framework that maintains a library of heterogeneous…

Machine Learning · Computer Science 2026-05-20 Mohammed Aledhari , Ali Aledhari , Fatimah Aledhari , Mohamed Rahouti

We consider an efficient computational framework for speeding up several machine learning algorithms with almost no loss of accuracy. The proposed framework relies on projections via structured matrices that we call Structured Spinners,…

Each classical public-coin protocol for coin flipping is naturally associated with a quantum protocol for weak coin flipping. The quantum protocol is obtained by replacing classical randomness with quantum entanglement and by adding a cheat…

Quantum Physics · Physics 2007-05-23 Carlos Mochon

We present a generic compact computational framework relying on structured random matrices that can be applied to speed up several machine learning algorithms with almost no loss of accuracy. The applications include new fast LSH-based…

Machine Learning · Computer Science 2016-06-07 Krzysztof Choromanski , Francois Fagan , Cedric Gouy-Pailler , Anne Morvan , Tamas Sarlos , Jamal Atif

Consistent hashing (CH) is a central building block in many networking applications, from datacenter load-balancing to distributed storage. Unfortunately, state-of-the-art CH solutions cannot ensure full consistency under arbitrary changes…

Data Structures and Algorithms · Computer Science 2020-11-24 Gal Mendelson , Shay Vargaftik , Katherine Barabash , Dean Lorenz , Isaac Keslassy , Ariel Orda

Binary codes are widely used to represent the data due to their small storage and efficient computation. However, there exists an ambiguity problem that lots of binary codes share the same Hamming distance to a query. To alleviate the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Zhenyu Weng , Yuesheng Zhu

Codes are widely used in many engineering applications to offer robustness against noise. In large-scale systems there are several types of noise that can affect the performance of distributed machine learning algorithms -- straggler nodes,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-30 Kangwook Lee , Maximilian Lam , Ramtin Pedarsani , Dimitris Papailiopoulos , Kannan Ramchandran