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Current tabling systems suffer from an increase in space complexity, time complexity or both when dealing with sequences due to the use of data structures for tabled subgoals and answers and the need to copy terms into and from the table…

Programming Languages · Computer Science 2012-10-08 Neng-Fa Zhou , Christian Theil Have

Advances in sensing technologies and the growth of the internet have resulted in an explosion in the size of modern datasets, while storage and processing power continue to lag behind. This motivates the need for algorithms that are…

Machine Learning · Computer Science 2012-06-22 Akshay Krishnamurthy , Sivaraman Balakrishnan , Min Xu , Aarti Singh

In this paper we consider the problem of locating a nonzero entry in a high-dimensional vector from possibly adaptive linear measurements. We consider a recursive bisection method which we dub the compressive binary search and show that it…

Information Theory · Computer Science 2012-06-01 Mark A. Davenport , Ery Arias-Castro

We consider the problem of estimating the conditional probability of a label in time $O(\log n)$, where $n$ is the number of possible labels. We analyze a natural reduction of this problem to a set of binary regression problems organized in…

Machine Learning · Computer Science 2009-06-04 Alina Beygelzimer , John Langford , Yuri Lifshits , Gregory Sorkin , Alex Strehl

Label information is widely used in hashing methods because of its effectiveness of improving the precision. The existing hashing methods always use two different projections to represent the mutual regression between hash codes and class…

Computer Vision and Pattern Recognition · Computer Science 2019-04-02 Xingbo Liu , Xiushan Nie , Yilong Yin

Online string matching is a computational problem involving the search for patterns or substrings in a large text dataset, with the pattern and text being processed sequentially, without prior access to the entire text. Its relevance stems…

Data Structures and Algorithms · Computer Science 2023-10-25 Matthew N. Palmer , Simone Faro , Stefano Scafiti

Most discovery systems for silent failures work in two phases: a continuous monitoring phase that detects presence of failures through probe packets and a localization phase that pinpoints the faulty element(s). This separation is important…

Networking and Internet Architecture · Computer Science 2014-06-20 Edith Cohen , Avinatan Hassidim , Haim Kaplan , Yishay Mansour , Danny Raz , Yoav Tzur

The fundamental question considered in algorithms on strings is that of indexing, that is, preprocessing a given string for specific queries. By now we have a number of efficient solutions for this problem when the queries ask for an exact…

Data Structures and Algorithms · Computer Science 2023-04-04 Paweł Gawrychowski , Garance Gourdel , Tatiana Starikovskaya , Teresa Anna Steiner

The seminal paper by Mazumdar and Saha \cite{MS17a} introduced an extensive line of work on clustering with noisy queries. Yet, despite significant progress on the problem, the proposed methods depend crucially on knowing the exact…

Machine Learning · Computer Science 2022-07-22 Alberto Del Pia , Mingchen Ma , Christos Tzamos

We study homomorphic hash functions into SL(2,q), the 2x2 matrices with determinant 1 over the field with $q$ elements. Modulo a well supported number theoretic hypothesis, which holds in particular for concrete homomorphisms proposed thus…

Cryptography and Security · Computer Science 2016-07-26 Ciaran Mullan , Boaz Tsaban

We present an efficient lock-free algorithm for parallel accessible hash tables with open addressing, which promises more robust performance and reliability than conventional lock-based implementations. ``Lock-free'' means that it is…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Hui Gao , Jan Friso Groote , Wim H. Hesselink

We introduce a new model to study algorithm design under unreliable information, and apply this model for the problem of finding the uncorrupted maximum element of a list containing $n$ elements, among which are $k$ corrupted elements.…

Data Structures and Algorithms · Computer Science 2024-09-11 Trung Dang , Zhiyi Huang

Withdrawn by the author due to irreparable errors. We present a quantum algorithm that in the black-box model performs a search in an ordered list of N elements. Using 3/4 log N + O(1) queries, it achieves a success probability of at least…

Quantum Physics · Physics 2007-05-23 Hein Roehrig

With double hashing, for a key $x$, one generates two hash values $f(x)$ and $g(x)$, and then uses combinations $(f(x) +i g(x)) \bmod n$ for $i=0,1,2,...$ to generate multiple hash values in the range $[0,n-1]$ from the initial two. For…

Data Structures and Algorithms · Computer Science 2015-03-03 Michael Mitzenmacher

We extend the Faulty RAM model by Finocchi and Italiano (2008) by adding a safe memory of arbitrary size $S$, and we then derive tradeoffs between the performance of resilient algorithmic techniques and the size of the safe memory. Let…

Data Structures and Algorithms · Computer Science 2015-04-03 Lorenzo De Stefani , Francesco Silvestri

Squares (fragments of the form $xx$, for some string $x$) are arguably the most natural type of repetition in strings. The basic algorithmic question concerning squares is to check if a given string of length $n$ is square-free, that is,…

Data Structures and Algorithms · Computer Science 2023-03-14 Jonas Ellert , Paweł Gawrychowski , Garance Gourdel

Locating arrays (LAs) can be used to detect and identify interaction faults among factors in a component-based system. The optimality and constructions of LAs with a single fault have been investigated extensively under the assumption that…

Combinatorics · Mathematics 2020-05-28 Ce Shi , Hao Jin , Tatsuhiro Tsuchiya

The experimenter must perform a legitimate search in the entire set of feasible censoring schemes to identify the optimal type II progressive censoring scheme, when applied to a life-testing experiment. Current recommendations are limited…

Applications · Statistics 2025-07-29 Ujjwal Roy , Ritwik Bhattacharya

We propose a new and easily-realizable distributed hash table (DHT) peer-to-peer structure, incorporating a random caching strategy that allows for {\em polylogarithmic search time} while having only a {\em constant cache} size. We also…

Networking and Internet Architecture · Computer Science 2007-05-23 Nima Sarshar , Vwani Roychowdhury

Learned indexes leverage machine learning models to accelerate query answering in databases, showing impressive practical performance. However, theoretical understanding of these methods remains incomplete. Existing research suggests that…

Databases · Computer Science 2024-10-23 Luis Croquevielle , Guang Yang , Liang Liang , Ali Hadian , Thomas Heinis