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Related papers: Relative compression of trajectories

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We introduce a new approach to LZ77 factorization that uses O(n/d) words of working space and O(dn) time for any d >= 1 (for polylogarithmic alphabet sizes). We also describe carefully engineered implementations of alternative approaches to…

Data Structures and Algorithms · Computer Science 2020-12-11 Juha Kärkkäinen , Dominik Kempa , Simon J. Puglisi

In highly repetitive strings, like collections of genomes from the same species, distinct measures of repetition all grow sublinearly in the length of the text, and indexes targeted to such strings typically depend only on one of these…

Data Structures and Algorithms · Computer Science 2015-02-24 Djamal Belazzougui , Fabio Cunial , Travis Gagie , Nicola Prezza , Mathieu Raffinot

Most of the world's digital data is currently encoded in a sequential form, and compression methods for sequences have been studied extensively. However, there are many types of non-sequential data for which good compression techniques are…

Information Theory · Computer Science 2016-01-15 Christian Steinruecken

Length-control summarization aims to condense long texts into a short one within a certain length limit. Previous approaches often use autoregressive (AR) models and treat the length requirement as a soft constraint, which may not always be…

Computation and Language · Computer Science 2025-02-10 Chenyang Huang , Hao Zhou , Cameron Jen , Kangjie Zheng , Osmar R. Zaïane , Lili Mou

The rapid growth of high-resolution scientific simulations and observation systems is generating massive spatiotemporal datasets, making efficient, error-bounded compression increasingly important. Meanwhile, decoder-only large language…

Machine Learning · Computer Science 2025-11-06 Guozhong Li , Muhannad Alhumaidi , Spiros Skiadopoulos , Panos Kalnis

Sequential data is being generated at an unprecedented pace in various forms, including text and genomic data. This creates the need for efficient compression mechanisms to enable better storage, transmission and processing of such data. To…

Computation and Language · Computer Science 2018-11-21 Mohit Goyal , Kedar Tatwawadi , Shubham Chandak , Idoia Ochoa

Knowledge of the symmetries of reinforcement learning (RL) systems can be used to create compressed and semantically meaningful representations of a low-level state space. We present a method of automatically detecting RL symmetries…

Machine Learning · Computer Science 2022-11-30 Marissa D'Alonzo , Rebecca Russell

Object detection in images has reached unprecedented performances. The state-of-the-art methods rely on deep architectures that extract salient features and predict bounding boxes enclosing the objects of interest. These methods essentially…

Computer Vision and Pattern Recognition · Computer Science 2021-07-15 Benjamin Deguerre , Clement Chatelain , Gilles Gasso

Retention time drift caused by fluctuations in physical factors such as temperature ramping rate and carrier gas flow rate is ubiquitous in chromatographic measurements. Proper peak identification and alignment across different…

Signal Processing · Electrical Eng. & Systems 2021-07-19 Wenzhe Zang , Ruchi Sharma , Maxwell Wei-Hao Li , Xudong Fan

Recurrent Neural Networks (RNNs) and their variants, such as Long-Short Term Memory (LSTM) networks, and Gated Recurrent Unit (GRU) networks, have achieved promising performance in sequential data modeling. The hidden layers in RNNs can be…

Computer Vision and Pattern Recognition · Computer Science 2018-11-20 Yu Pan , Jing Xu , Maolin Wang , Jinmian Ye , Fei Wang , Kun Bai , Zenglin Xu

The advent of massive datasets (and the consequent design of high-performing distributed storage systems) have reignited the interest of the scientific and engineering community towards the design of lossless data compressors which achieve…

Information Theory · Computer Science 2013-07-16 Andrea Farruggia , Paolo Ferragina , Antonio Frangioni , Rossano Venturini

Trajectory representation learning (TRL) aims to encode raw trajectory data into low-dimensional embeddings for downstream tasks such as travel time estimation, mobility prediction, and trajectory similarity analysis. From a behavioral…

Computer Vision and Pattern Recognition · Computer Science 2025-12-02 Ji Cao , Yu Wang , Tongya Zheng , Jie Song , Qinghong Guo , Zujie Ren , Canghong Jin , Gang Chen , Mingli Song

Due to the substantial scale of Large Language Models (LLMs), the direct application of conventional compression methodologies proves impractical. The computational demands associated with even minimal gradient updates present challenges,…

Machine Learning · Computer Science 2023-12-13 Arnav Chavan , Nahush Lele , Deepak Gupta

Motivated by challenges arising in molecular simulation, we study reactive trajectories of the overdamped Langevin dynamics, i.e. trajectories observed as they pass from a set A corresponding to the reagents of a chemical reaction to a set…

Numerical Analysis · Mathematics 2026-03-24 Gabriel Earle , Brian Van Koten

The trajectory on the road traffic is commonly collected at a low sampling rate, and trajectory recovery aims to recover a complete and continuous trajectory from the sparse and discrete inputs. Recently, sequential language models have…

Machine Learning · Computer Science 2023-11-07 Dedong Li , Ziyue Li , Zhishuai Li , Lei Bai , Qingyuan Gong , Lijun Sun , Wolfgang Ketter , Rui Zhao

The $r$-index (Gagie et al., JACM 2020) represented a breakthrough in compressed indexing of repetitive text collections, outperforming its alternatives by orders of magnitude. Its space usage, $\mathcal{O}(r)$ where $r$ is the number of…

Data Structures and Algorithms · Computer Science 2021-03-30 Dustin Cobas , Travis Gagie , Gonzalo Navarro

Recurrent Neural Networks (RNNs) are powerful sequence modeling tools. However, when dealing with high dimensional inputs, the training of RNNs becomes computational expensive due to the large number of model parameters. This hinders RNNs…

Machine Learning · Computer Science 2018-05-23 Jinmian Ye , Linnan Wang , Guangxi Li , Di Chen , Shandian Zhe , Xinqi Chu , Zenglin Xu

Zero-suppressed Binary Decision Diagrams (ZDDs) are data structures for representing set families in a compressed form. With ZDDs, many valuable operations on set families can be done in time polynomial in ZDD size. In some cases, however,…

Data Structures and Algorithms · Computer Science 2020-04-10 Kotaro Matsuda , Shuhei Denzumi , Kunihiko Sadakane

We present two methods to compress the description of a route in a road network, i.e., of a path in a directed graph. The first method represents a path by a sequence of via edges. The subpaths between the via edges have to be unique…

Data Structures and Algorithms · Computer Science 2010-11-22 Gernot Veit Batz , Robert Geisberger , Dennis Luxen , Peter Sanders

Fiber tracking produces large tractography datasets that are tens of gigabytes in size consisting of millions of streamlines. Such vast amounts of data require formats that allow for efficient storage, transfer, and visualization. We…

Image and Video Processing · Electrical Eng. & Systems 2020-04-29 Daniel Haehn , Loraine Franke , Fan Zhang , Suheyla Cetin Karayumak , Steve Pieper , Lauren O'Donnell , Yogesh Rathi