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Sorted data is usually easier to compress than unsorted permutations of the same data. This motivates a simple compression scheme: specify the sorted permutation of the data along with a representation of the sorted data compressed…

Data Structures and Algorithms · Computer Science 2014-11-24 Oscar Stiffelman

This paper studies the problem of power allocation in compressed sensing when different components in the unknown sparse signal have different probability to be non-zero. Given the prior information of the non-uniform sparsity and the total…

Information Theory · Computer Science 2014-05-12 Xiaochen Zhao , Wei Dai

In this paper, we propose an efficient approach for the compression and representation of volumetric data utilizing coordinate-based networks and multi-resolution hash encoding. Efficient compression of volumetric data is crucial for…

Computer Vision and Pattern Recognition · Computer Science 2024-01-18 Sudarshan Devkota , Sumanta Pattanaik

A lot of work has been done in the field of image compression via machine learning, but not much attention has been given to the compression of natural language. Compressing text into lossless representations while making features easily…

Computation and Language · Computer Science 2019-08-05 Gabriele Prato , Mathieu Duchesneau , Sarath Chandar , Alain Tapp

Time series data from a variety of sensors and IoT devices need effective compression to reduce storage and I/O bandwidth requirements. While most time series databases and systems rely on lossless compression, lossy techniques offer even…

Databases · Computer Science 2025-01-27 Carlos Enrique Muñiz-Cuza , Matthias Boehm , Torben Bach Pedersen

Language models have recently been shown capable of performing regression wherein numeric predictions are represented as decoded strings. In this work, we provide theoretical grounds for this capability and furthermore investigate the…

Machine Learning · Computer Science 2025-08-13 Xingyou Song , Dara Bahri

In this paper, designs and analyses of compressive recognition systems are discussed, and also a method of establishing a dual connection between designs of good communication codes and designs of recognition systems is presented. Pattern…

Information Theory · Computer Science 2007-12-24 Po-Hsiang Lai , Joseph A. O'Sullivan

We propose two extensions to existing importance sampling based methods for lossy compression. First, we introduce an importance sampling based compression scheme that is a variant of ordered random coding (Theis and Ahmed, 2022) and is…

Information Theory · Computer Science 2024-03-11 Buu Phan , Ashish Khisti , Christos Louizos

We present TACTIC: Task-Aware Compression Through Intelligent Coding. Our lossy compression model learns based on the rate-distortion-accuracy trade-off for a specific task. By considering what information is important for the follow-on…

Computer Vision and Pattern Recognition · Computer Science 2021-09-23 Nikolina Kubiak , Simon Hadfield

Recent learning-based lossless image compression methods encode an image in the unit of subimages and achieve comparable performances to conventional non-learning algorithms. However, these methods do not consider the performance drop in…

Image and Video Processing · Electrical Eng. & Systems 2021-12-14 Hochang Rhee , Yeong Il Jang , Seyun Kim , Nam Ik Cho

By extracting task-relevant information while maximally compressing the input, the information bottleneck (IB) principle has provided a guideline for learning effective and robust representations of the target inference. However, extending…

Information Theory · Computer Science 2025-01-22 Yuhan Wang , Youlong Wu , Shuai Ma , Ying-Jun Angela Zhang

Some mobile sensor network applications require the sensor nodes to transfer their trajectories to a data sink. This paper proposes an adaptive trajectory (lossy) compression algorithm based on compressive sensing. The algorithm has two…

Information Theory · Computer Science 2014-04-25 Rajib Rana , Mingrui Yang , Tim Wark , Chun Tung Chou , Wen Hu

Quantum capacity gives the fundamental limit of information transmission through a channel. However, evaluating the quantum capacities of a continuous-variable bosonic quantum channel, as well as finding an optimal code to achieve the…

Quantum Physics · Physics 2025-10-03 Adam Taylor , Michael Hanks , Hyukjoon Kwon , M. S. Kim

We extend Ziv and Lempel's model of finite-state encoders to the realm of lossy compression of individual sequences. In particular, the model of the encoder includes a finite-state reconstruction codebook followed by an information lossless…

Information Theory · Computer Science 2024-01-04 Neri Merhav

Revealing hidden features in unlabeled data is called unsupervised feature learning, which plays an important role in pretraining a deep neural network. Here we provide a statistical mechanics analysis of the unsupervised learning in a…

Machine Learning · Computer Science 2017-05-16 Haiping Huang

Compression of integer sets and sequences has been extensively studied for settings where elements follow a uniform probability distribution. In addition, methods exist that exploit clustering of elements in order to achieve higher…

Information Theory · Computer Science 2014-02-11 N. Jesper Larsson

The extensive adoption of Deep Neural Networks has led to their increased utilization in challenging scientific visualization tasks. Recent advancements in building compressed data models using implicit neural representations have shown…

Machine Learning · Computer Science 2025-10-20 Abhay Kumar Dwivedi , Shanu Saklani , Soumya Dutta

Compressed sensing techniques enable efficient acquisition and recovery of sparse, high-dimensional data signals via low-dimensional projections. In this work, we propose Uncertainty Autoencoders, a learning framework for unsupervised…

Machine Learning · Statistics 2019-04-15 Aditya Grover , Stefano Ermon

We develop a simple and elegant method for lossless compression using latent variable models, which we call 'bits back with asymmetric numeral systems' (BB-ANS). The method involves interleaving encode and decode steps, and achieves an…

Machine Learning · Computer Science 2021-04-23 James Townsend

It is well-known in the field of lossless data compression that probabilistic next-symbol prediction can be used to compress sequences of symbols. Deep neural networks are able to capture rich dependencies in data, offering a powerful means…

Information Theory · Computer Science 2026-03-10 Aviv Adler , Jennifer Tang
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