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We present a succinct data structure for permutation graphs, and their superclass of circular permutation graphs, i.e., data structures using optimal space up to lower order terms. Unlike concurrent work on circle graphs (Acan et al. 2022),…

Data Structures and Algorithms · Computer Science 2022-09-27 Konstantinos Tsakalidis , Sebastian Wild , Viktor Zamaraev

Signal compression based on implicit neural representation (INR) is an emerging technique to represent multimedia signals with a small number of bits. While INR-based signal compression achieves high-quality reconstruction for relatively…

Image and Video Processing · Electrical Eng. & Systems 2024-12-31 Takuya Fujihashi , Toshiaki Koike-Akino

Sparse approximation is important in many applications because of concise form of an approximant and good accuracy guarantees. The theory of compressed sensing, which proved to be very useful in the image processing and data sciences, is…

Numerical Analysis · Mathematics 2025-02-20 V. Temlyakov

We applied a method of compressed sensing to the observation of quasi-particle interference (QPI) by scanning tunneling microscopy/spectroscopy to improve efficiency and save measurement time. To solve an ill-posed problem owing to the…

Mesoscale and Nanoscale Physics · Physics 2016-08-24 Yoshinori Nakanishi-Ohno , Masahiro Haze , Yasuo Yoshida , Koji Hukushima , Yukio Hasegawa , Masato Okada

We propose a novel solution framework for inverse mixed-integer optimization based on analytic center concepts from interior point methods. We characterize the optimality gap of a given solution, provide structural results, and propose…

Optimization and Control · Mathematics 2025-04-08 Samir Elhedhli , Göksu Ece Okur

Abstract notions of convexity over the vertices of a graph, and corresponding notions of halfspaces, have recently gained attention from the machine learning community. In this work we study monophonic halfspaces, a notion of graph…

Machine Learning · Computer Science 2025-07-01 Marco Bressan , Victor Chepoi , Emmanuel Esposito , Maximilian Thiessen

For analysing text algorithms, for computing superstrings, or for testing random number generators, one needs to compute all overlaps between any pairs of words in a given set. The positions of overlaps of a word onto itself, or of two…

Data Structures and Algorithms · Computer Science 2017-07-19 Rodrigo Canovas , Bastien Cazaux , Eric Rivals

An increasing bottleneck in decentralized optimization is communication. Bigger models and growing datasets mean that decentralization of computation is important and that the amount of information exchanged is quickly growing. While…

Machine Learning · Computer Science 2021-08-19 Tharindu B. Adikari , Stark C. Draper

Compressed sensing is designed to measure sparse signals directly in a compressed form. However, most signals of interest are only "approximately sparse", i.e. even though the signal contains only a small fraction of relevant (large)…

Information Theory · Computer Science 2013-04-04 Jean Barbier , Florent Krzakala , Marc Mézard , Lenka Zdeborová

Many modern applications involve accessing and processing graphical data, i.e. data that is naturally indexed by graphs. Examples come from internet graphs, social networks, genomics and proteomics, and other sources. The typically large…

Information Theory · Computer Science 2023-01-18 Payam Delgosha , Venkat Anantharam

Compressed sensing is a signal processing technique that allows for the reconstruction of a signal from a small set of measurements. The key idea behind compressed sensing is that many real-world signals are inherently sparse, meaning that…

Machine Learning · Computer Science 2025-09-16 Shane Stevenson , Maryam Sabagh

With text analysis tools becoming increasingly sophisticated over the last decade, researchers now face a decision of whether to use state-of-the-art models that provide high performance but that can be highly opaque in their operations and…

Computation and Language · Computer Science 2024-11-05 Catherine Moez

Context-aware Machine Translation aims to improve translations of sentences by incorporating surrounding sentences as context. Towards this task, two main architectures have been applied, namely single-encoder (based on concatenation) and…

Computation and Language · Computer Science 2024-02-05 Paweł Mąka , Yusuf Can Semerci , Jan Scholtes , Gerasimos Spanakis

Recent works on word representations mostly rely on predictive models. Distributed word representations (aka word embeddings) are trained to optimally predict the contexts in which the corresponding words tend to appear. Such models have…

Computation and Language · Computer Science 2015-04-10 Rémi Lebret , Ronan Collobert

Transformer architectures have achieved remarkable success across language, vision, and multimodal tasks, and there is growing demand for them to address in-context compositional learning tasks. In these tasks, models solve the target…

Machine Learning · Computer Science 2025-11-26 Wei Chen , Jingxi Yu , Zichen Miao , Qiang Qiu

A property of sparse representations in relation to their capacity for information storage is discussed. It is shown that this feature can be used for an application that we term Encrypted Image Folding. The proposed procedure is realizable…

Computer Vision and Pattern Recognition · Computer Science 2012-09-13 James Bowley , Laura Rebollo-Neira

Spaced seeds are important tools for similarity search in bioinformatics, and using several seeds together often significantly improves their performance. With existing approaches, however, for each seed we keep a separate linear-size data…

Data Structures and Algorithms · Computer Science 2014-03-11 Travis Gagie , Giovanni Manzini , Daniel Valenzuela

Exascale computing promises quantities of data too large to efficiently store and transfer across networks in order to be able to analyze and visualize the results. We investigate Compressive Sensing (CS) as a way to reduce the size of the…

Information Theory · Computer Science 2015-08-27 Maher Salloum , Nathan Fabian , David M. Hensinger , Jeremy A. Templeton

At the present scenario of the internet, there exist many optimization techniques to improve the Web speed but almost expensive in terms of bandwidth. So after a long investigation on different techniques to compress the data without any…

Information Theory · Computer Science 2014-05-20 Hemant Kumar Saini , Satpal Singh Kushwaha , C. Rama Krishna

Estimating the pose of a camera with respect to a 3D reconstruction or scene representation is a crucial step for many mixed reality and robotics applications. Given the vast amount of available data nowadays, many applications constrain…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Marcela Mera-Trujillo , Benjamin Smith , Victor Fragoso