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The problem of high-dimensional and large-scale representation of visual data is addressed from an unsupervised learning perspective. The emphasis is put on discrete representations, where the description length can be measured in bits and…

Machine Learning · Computer Science 2019-01-25 Sohrab Ferdowsi

We propose computationally efficient encoders and decoders for lossy compression using a Sparse Regression Code. The codebook is defined by a design matrix and codewords are structured linear combinations of columns of this matrix. The…

Information Theory · Computer Science 2014-05-20 Ramji Venkataramanan , Tuhin Sarkar , Sekhar Tatikonda

Dimensionality reduction is a crucial technique in data analysis, as it allows for the efficient visualization and understanding of high-dimensional datasets. The circular coordinate is one of the topological data analysis techniques…

Algebraic Topology · Mathematics 2023-01-31 Taejin Paik , Jaemin Park

Lossy compression algorithms take advantage of the inherent limitations of the human eye and discard information that cannot be seen. In the present paper, a technique termed as Lossy Data Compression using Logarithm (LDCL) is proposed to…

Information Theory · Computer Science 2016-04-08 Vivek Kumar , Srijita Barthwal , Rishabh Kishore , Ruchika Saklani , Anuj Sharma , Sandeep Sharma

The rapid growth of digital data has heightened the demand for efficient lossless compression methods. However, existing algorithms exhibit trade-offs: some achieve high compression ratios, others excel in encoding or decoding speed, and…

Information Theory · Computer Science 2025-10-01 Md. Atiqur Rahman , MM Fazle Rabbi

A binary string of length $2^k$ induces the Boolean function of $k$ variables whose Shannon expansion is the given binary string. This Boolean function then is representable via a unique reduced ordered binary decision diagram (ROBDD). The…

Information Theory · Computer Science 2011-11-08 J. Kieffer , P. Flajolet , E. -h. Yang

Over the last few years, machine learning unlocked previously infeasible features for compression, such as providing guarantees for users' privacy or tailoring compression to specific data statistics (e.g., satellite images or audio…

Information Theory · Computer Science 2026-03-25 Gergely Flamich

This paper describes a new method of data encoding which may be used in various modern digital, computer and telecommunication systems and devices. The method permits the compression of data for storage or transmission, allowing the exact…

Information Theory · Computer Science 2012-01-27 Igor Nesiolovskiy , Artem Nesiolovskiy

This paper presents innovative algorithms to efficiently compute erosions and dilations of run-length encoded (RLE) binary images with arbitrary shaped structuring elements. An RLE image is given by a set of runs, where a run is a…

Computer Vision and Pattern Recognition · Computer Science 2015-04-07 Gregor Ehrensperger , Alexander Ostermann , Felix Schwitzer

Recently, the existence of considerable amount of redundancy in the Internet traffic has stimulated the deployment of several redundancy elimination techniques within the network. These techniques are often based on either packet-level…

Information Theory · Computer Science 2012-04-02 Mohsen Sardari , Ahmad Beirami , Faramarz Fekri

Many services today massively and continuously produce log files of different and varying formats. These logs are important since they contain information about the application activities, which is necessary for improvements by analyzing…

Information Retrieval · Computer Science 2023-04-11 Igor Cherepanov , Jonathan Geraldi Joewono , Arjan Kuijper , Jörn Kohlhammer

Recently Implicit Neural Representations (INRs) gained attention as a novel and effective representation for various data types. Thus far, prior work mostly focused on optimizing their reconstruction performance. This work investigates INRs…

Image and Video Processing · Electrical Eng. & Systems 2022-08-05 Yannick Strümpler , Janis Postels , Ren Yang , Luc van Gool , Federico Tombari

Deploying deep learning models, comprising of non-linear combination of millions, even billions, of parameters is challenging given the memory, power and compute constraints of the real world. This situation has led to research into model…

Machine Learning · Computer Science 2020-05-29 Muhammad A. Shah , Raphael Olivier , Bhiksha Raj

Optical computing systems provide an alternate hardware model which appears to be aligned with the demands of neural network workloads. However, the challenge of implementing energy efficient nonlinearities in optics -- a key requirement…

Optics · Physics 2025-08-04 N. Richardson , C. Bosch , R. P. Adams

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.…

Performance · Computer Science 2007-05-23 B. S. Shajeemohan , Dr. V. K. Govindan

We consider the problem of {\em restructuring} compressed texts without explicit decompression. We present algorithms which allow conversions from compressed representations of a string $T$ produced by any grammar-based compression…

Data Structures and Algorithms · Computer Science 2011-07-15 Keisuke Goto , Shirou Maruyama , Shunsuke Inenaga , Hideo Bannai , Hiroshi Sakamoto , Masayuki Takeda

Our increasingly digital and connected world has led to the generation of unprecedented amounts of data. This data must be efficiently managed, transmitted, and stored to preserve resources and allow scalability. Data compression has…

Information Theory · Computer Science 2025-10-09 Jonas G. Matt , Pengcheng Huang , Balz Maag

The application of the context-adaptive entropy model significantly improves the rate-distortion (R-D) performance, in which hyperpriors and autoregressive models are jointly utilized to effectively capture the spatial redundancy of the…

Image and Video Processing · Electrical Eng. & Systems 2022-09-09 Haisheng Fu , Feng Liang

We investigate the complexity of short symbolic sequences of chaotic dynamical systems by using lossless compression algorithms. In particular, we study Non-Sequential Recursive Pair Substitution (NSRPS), a lossless compression algorithm…

Chaotic Dynamics · Physics 2015-03-17 Nithin Nagaraj , Mathew Shaji Kavalekalam , Arjun Venugopal T. , Nithin Krishnan

Context-aware compression techniques have gained increasing attention as model sizes continue to grow, introducing computational bottlenecks that hinder efficient deployment. A structured encoding approach was proposed to selectively…

Computation and Language · Computer Science 2025-02-13 Barnaby Schmitt , Alistair Grosvenor , Matthias Cunningham , Clementine Walsh , Julius Pembrokeshire , Jonathan Teel