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The sparse representation classifier (SRC) has been utilized in various classification problems, which makes use of L1 minimization and works well for image recognition satisfying a subspace assumption. In this paper we propose a new…

Machine Learning · Statistics 2024-06-27 Cencheng Shen , Li Chen , Yuexiao Dong , Carey E. Priebe

Sublinear time quantum algorithms have been established for many fundamental problems on strings. This work demonstrates that new, faster quantum algorithms can be designed when the string is highly compressible. We focus on two popular and…

Data Structures and Algorithms · Computer Science 2023-02-15 Daniel Gibney , Sharma V. Thankachan

Nishimoto and Tabei [CPM, 2021] proposed r-enum, an algorithm to enumerate various characteristic substrings, including maximal repeats, in a string $T$ of length $n$ in $O(r)$ words of compressed working space, where $r \le n$ is the…

Data Structures and Algorithms · Computer Science 2026-01-27 Kotaro Kimura , Tomohiro I

Compressive sensing (CS) is well-known for its unique functionalities of sensing, compressing, and security (i.e. CS measurements are equally important). However, there is a tradeoff. Improving sensing and compressing efficiency with prior…

Signal Processing · Electrical Eng. & Systems 2020-02-19 Thuong Nguyen Canh , Byeungwoo Jeon

Neural document ranking approaches, specifically transformer models, have achieved impressive gains in ranking performance. However, query processing using such over-parameterized models is both resource and time intensive. In this paper,…

Information Retrieval · Computer Science 2022-04-05 Jurek Leonhardt , Koustav Rudra , Megha Khosla , Abhijit Anand , Avishek Anand

Document retrieval is one of the most challenging tasks in Information Retrieval. It requires handling longer contexts, often resulting in higher query latency and increased computational overhead. Recently, Learned Sparse Retrieval (LSR)…

Information Retrieval · Computer Science 2025-04-09 Emmanouil Georgios Lionis , Jia-Huei Ju

Learned sparse retrieval (LSR) is a family of first-stage retrieval methods that are trained to generate sparse lexical representations of queries and documents for use with an inverted index. Many LSR methods have been recently introduced,…

Information Retrieval · Computer Science 2023-03-28 Thong Nguyen , Sean MacAvaney , Andrew Yates

We consider the problem of encoding a string of length $n$ from an integer alphabet of size $\sigma$ so that access and substring equality queries (that is, determining the equality of any two substrings) can be answered efficiently. Any…

Data Structures and Algorithms · Computer Science 2020-05-12 Nicola Prezza

Representing the movements of objects (trips) over a network in a compact way while retaining the capability of exploiting such data effectively is an important challenge of real applications. We present a new Compact Trip Representation…

Data Structures and Algorithms · Computer Science 2019-01-01 Nieves R. Brisaboa , Antonio Fariña , Daniil Galaktionov , M. Andrea Rodriguez

Compressive sensing (CS) is a new methodology to capture signals at lower rate than the Nyquist sampling rate when the signals are sparse or sparse in some domain. The performance of CS estimators is analyzed in this paper using tools from…

Information Theory · Computer Science 2014-09-09 Solomon A. Tesfamicael , Bruhtesfa E. Godana , Faraz Barzideh

The LZ-End parsing [Kreft & Navarro, 2011] of an input string yields compression competitive with the popular Lempel-Ziv 77 scheme, but also allows for efficient random access. Kempa and Kosolobov showed that the parsing can be computed in…

Data Structures and Algorithms · Computer Science 2024-09-18 Patrick Dinklage

Spatial Pyramid Matching (SPM) and its variants have achieved a lot of success in image classification. The main difference among them is their encoding schemes. For example, ScSPM incorporates Sparse Code (SC) instead of Vector…

Computer Vision and Pattern Recognition · Computer Science 2016-03-22 Xi Peng , Rui Yan , Bo Zhao , Huajin Tang , Zhang Yi

Learned sparse retrieval (LSR) is a family of neural methods that encode queries and documents into sparse lexical vectors that can be indexed and retrieved efficiently with an inverted index. We explore the application of LSR to the…

Information Retrieval · Computer Science 2024-02-28 Thong Nguyen , Mariya Hendriksen , Andrew Yates , Maarten de Rijke

In this paper, we propose a novel approach to combine \emph{compact directed acyclic word graphs} (CDAWGs) and grammar-based compression. This leads us to an efficient self-index, called Linear-size CDAWGs (L-CDAWGs), which can be…

Data Structures and Algorithms · Computer Science 2017-07-28 Takuya Takagi , Keisuke Goto , Yuta Fujishige , Shunsuke Inenaga , Hiroki Arimura

We show that the compressed suffix array and the compressed suffix tree for a string of length $n$ over an integer alphabet of size $\sigma\leq n$ can both be built in $O(n)$ (randomized) time using only $O(n\log\sigma)$ bits of working…

Data Structures and Algorithms · Computer Science 2016-05-24 Djamal Belazzougui

The compression of highly repetitive strings (i.e., strings with many repetitions) has been a central research topic in string processing, and quite a few compression methods for these strings have been proposed thus far. Among them, an…

Data Structures and Algorithms · Computer Science 2022-02-17 Takaaki Nishimoto , Shunsuke Kanda , Yasuo Tabei

This paper introduces a new framework of fast and efficient sensing matrices for practical compressive sensing, called Structurally Random Matrix (SRM). In the proposed framework, we pre-randomize a sensing signal by scrambling its samples…

Information Theory · Computer Science 2015-05-28 Thong T. Do , Lu Gan , Nam H. Nguyen , Trac D. Tran

Unlike in statistical compression, where Shannon's entropy is a definitive lower bound, no such clear measure exists for the compressibility of repetitive sequences. Since statistical entropy does not capture repetitiveness, ad-hoc measures…

Data Structures and Algorithms · Computer Science 2021-01-18 Tomasz Kociumaka , Gonzalo Navarro , Nicola Prezza

Compressing self-supervised models has become increasingly necessary, as self-supervised models become larger. While previous approaches have primarily focused on compressing the model size, shortening sequences is also effective in…

Computation and Language · Computer Science 2022-10-26 Yen Meng , Hsuan-Jui Chen , Jiatong Shi , Shinji Watanabe , Paola Garcia , Hung-yi Lee , Hao Tang

We consider the problem of representing, in a compressed format, a bit-vector $S$ of $m$ bits with $n$ 1s, supporting the following operations, where $b \in \{0, 1 \}$: $rank_b(S,i)$ returns the number of occurrences of bit $b$ in the…

Data Structures and Algorithms · Computer Science 2009-02-17 Roberto Grossi , Alessio Orlandi , Rajeev Raman , S. Srinivasa Rao
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