English
Related papers

Related papers: Resolution of the Burrows-Wheeler Transform Conjec…

200 papers

Compression algorithms reduce the redundancy in data representation to decrease the storage required for that data. Data compression offers an attractive approach to reducing communication costs by using available bandwidth effectively.…

Information Theory · Computer Science 2007-07-13 B. S. Shajee Mohan , V. K. Govindan

Modern genomic analyses increasingly rely on pangenomes, that is, representations of the genome of entire populations. The simplest representation of a pangenome is a set of individual genome sequences. Compared to e.g. sequence graphs,…

Genomics · Quantitative Biology 2025-11-25 Jannik Olbrich , Enno Ohlebusch

We present a spatially efficient decomposition of matrices and arbitrary-order tensors as linear combinations of tensor products of $\{-1, 1\}$-valued vectors. For any matrix $A \in \mathbb{R}^{m \times n}$, $$A - R_w = S_w C_w T_w^\top =…

Combinatorics · Mathematics 2024-10-03 Alex W. Neal Riasanovsky , Sarah El Kazdadi

In recent years, pangenomes received increasing attention from the scientific community for their ability to incorporate population variation information and alleviate reference genome bias. Maximal Exact Matches (MEMs) and Maximal Unique…

Data Structures and Algorithms · Computer Science 2022-05-04 Sara Giuliani , Giuseppe Romana , Massimiliano Rossi

Large Language Models (LLMs) have demonstrated exceptional capabilities across diverse natural language processing benchmarks. However, the escalating scale of model parameters imposes prohibitive memory overheads during training,…

Machine Learning · Computer Science 2026-04-28 Ziqing Wen , Ping Luo , Jiahuan Wang , Kun Yuan , Dongsheng Li , Tao Sun

Implicit neural representations have recently demonstrated promising potential in arbitrary-scale Super-Resolution (SR) of images. Most existing methods predict the pixel in the SR image based on the queried coordinate and ensemble nearby…

Computer Vision and Pattern Recognition · Computer Science 2024-11-12 Minghong Duan , Linhao Qu , Shaolei Liu , Manning Wang

In their paper [1] on Wilf-equivalence for singleton classes, Backelin, Xin, and West introduce a transformation $\phi^*$, defined by an iterative process and operating on (all) full rook placements on Ferrers boards. In [3],…

Combinatorics · Mathematics 2011-11-18 Jonathan Bloom , Dan Saracino

Modern retrieval system often requires recomputing the representation of every piece of data in the gallery when updating to a better representation model. This process is known as backfilling and can be especially costly in the real world…

Computer Vision and Pattern Recognition · Computer Science 2023-08-29 Yifei Zhou , Zilu Li , Abhinav Shrivastava , Hengshuang Zhao , Antonio Torralba , Taipeng Tian , Ser-Nam Lim

Weighted labelled transition systems (WLTSs) are an established meta-model aiming to provide general results and tools for a wide range of systems such as non-deterministic, stochastic, and probabilistic systems. In order to encompass…

Logic in Computer Science · Computer Science 2017-04-25 Marino Miculan , Marco Peressotti

The notion of Carry Value Transformation (CVT) is a model of Discrete Deterministic Dynamical System. In this paper, we have studied some interesting properties of CVT and proved that (1) the addition of any two non-negative integers is…

Discrete Mathematics · Computer Science 2011-10-04 Suryakanta Pal , Sudhakar Sahoo , Birendra Kumar Nayak

Mauer et al. [A Lempel-Ziv-style Compression Method for Repetitive Texts, PSC 2017] proposed a hybrid text compression method called LZ-LFS which has both features of Lempel-Ziv 77 factorization and longest first substitution. They showed…

Data Structures and Algorithms · Computer Science 2018-06-14 Akihiro Nishi , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

Transformer architectures, underpinned by the self-attention mechanism, have achieved state-of-the-art results across numerous natural language processing (NLP) tasks by effectively modeling long-range dependencies. However, the…

Machine Learning · Computer Science 2025-04-15 Andrew Kiruluta , Priscilla Burity , Samantha Williams

This paper proposes a novel binarized weight network (BT) for a resource-efficient neural structure. The proposed model estimates a binary representation of weights by taking into account the approximation error with an additional term.…

Computer Vision and Pattern Recognition · Computer Science 2021-05-11 Savas Ozkan , Gozde Bozdagi Akar

This paper presents a new solution to address the challenge of increasing memory usage in high-performance computing simulations of Lattice-Bolzmann or Finite-Volume schemes.Our approach utilises a lossy compression scheme based on the…

Hardware Architecture · Computer Science 2023-02-21 Clément Flint , Philippe Helluy

Chinese word segmentation (CWS) is a fundamental task for Chinese language understanding. Recently, neural network-based models have attained superior performance in solving the in-domain CWS task. Last year, Bidirectional Encoder…

Computation and Language · Computer Science 2019-09-23 Haiqin Yang

The longest common prefix array is a very advantageous data structure that, combined with the suffix array and the Burrows-Wheeler transform, allows to efficiently compute some combinatorial properties of a string useful in several…

Data Structures and Algorithms · Computer Science 2016-05-16 Anthony J. Cox , Fabio Garofalo , Giovanna Rosone , Marinella Sciortino

The rapid scaling of language models is motivating research using low-bitwidth quantization. In this work, we propose a novel binarization technique for Transformers applied to machine translation (BMT), the first of its kind. We identify…

Computation and Language · Computer Science 2023-12-12 Yichi Zhang , Ankush Garg , Yuan Cao , Łukasz Lew , Behrooz Ghorbani , Zhiru Zhang , Orhan Firat

Bidirectional compression algorithms work by substituting repeated substrings by references that, unlike in the famous LZ77-scheme, can point to either direction. We present such an algorithm that is particularly suited for an external…

Data Structures and Algorithms · Computer Science 2019-12-04 Patrick Dinklage , Jonas Ellert , Johannes Fischer , Dominik Köppl , Manuel Penschuck

The large memory requirements of deep neural networks limit their deployment and adoption on many devices. Model compression methods effectively reduce the memory requirements of these models, usually through applying transformations such…

Machine Learning · Computer Science 2017-11-15 Brandon Reagen , Udit Gupta , Robert Adolf , Michael M. Mitzenmacher , Alexander M. Rush , Gu-Yeon Wei , David Brooks

In recent years BERT shows apparent advantages and great potential in natural language processing tasks. However, both training and applying BERT requires intensive time and resources for computing contextual language representations, which…

Computation and Language · Computer Science 2021-11-05 Tan Huang