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Given the single-letter capacity formula and the converse proof of a channel without constraints, we provide a simple approach to extend the results for the same channel but with constraints. The resulting capacity formula is the minimum of…

Information Theory · Computer Science 2008-09-29 Youjian Liu

We resolve the space complexity of single-pass streaming algorithms for approximating the classic set cover problem. For finding an $\alpha$-approximate set cover (for any $\alpha= o(\sqrt{n})$) using a single-pass streaming algorithm, we…

Data Structures and Algorithms · Computer Science 2016-03-21 Sepehr Assadi , Sanjeev Khanna , Yang Li

The field of connectomics faces unprecedented "big data" challenges. To reconstruct neuronal connectivity, automated pixel-level segmentation is required for petabytes of streaming electron microscopy data. Existing algorithms provide…

In-memory columnar databases have become mainstream over the last decade and have vastly improved the fast processing of large volumes of data through multi-core parallelism and in-memory compression thereby eliminating the usual…

Databases · Computer Science 2016-09-27 Jayanth Jayanth

We study distribution testing with communication and memory constraints in the following computational models: (1) The {\em one-pass streaming model} where the goal is to minimize the sample complexity of the protocol subject to a memory…

Machine Learning · Computer Science 2019-06-12 Ilias Diakonikolas , Themis Gouleakis , Daniel M. Kane , Sankeerth Rao

We present data streaming algorithms for the $k$-median problem in high-dimensional dynamic geometric data streams, i.e. streams allowing both insertions and deletions of points from a discrete Euclidean space $\{1, 2, \ldots \Delta\}^d$.…

Data Structures and Algorithms · Computer Science 2017-06-14 Vladimir Braverman , Gereon Frahling , Harry Lang , Christian Sohler , Lin F. Yang

Learned image compression sits at the intersection of machine learning and image processing. With advances in deep learning, neural network-based compression methods have emerged. In this process, an encoder maps the image to a…

Computer Vision and Pattern Recognition · Computer Science 2025-09-15 Fabien Allemand , Attilio Fiandrotti , Sumanta Chaudhuri , Alaa Eddine Mazouz

The Hierarchical Clustering (HC) problem consists of building a hierarchy of clusters to represent a given dataset. Motivated by the modern large-scale applications, we study the problem in the \streaming model, in which the memory is…

Data Structures and Algorithms · Computer Science 2022-06-16 Sepehr Assadi , Vaggos Chatziafratis , Jakub Łącki , Vahab Mirrokni , Chen Wang

The data stream model has been defined for new classes of applications involving massive data being generated at a fast pace. Web click stream analysis and detection of network intrusions are two examples. Cluster analysis on data streams…

Databases · Computer Science 2007-05-23 Zengyou He , Xiaofei Xu , Shengchun Deng , Joshua Zhexue Huang

Motivated by cloud computing, a number of recent works have studied annotated data streams and variants thereof. In this setting, a computationally weak verifier (cloud user), lacking the resources to store and manipulate his massive input…

Computational Complexity · Computer Science 2013-04-16 Amit Chakrabarti , Graham Cormode , Navin Goyal , Justin Thaler

Hospitals around the world collect massive amounts of physiological data from their patients every day. Recently, there has been an increase in research interest to subject this data to statistical analysis to gain more insights and provide…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-04 Anand Jayarajan , Kimberly Hau , Andrew Goodwin , Gennady Pekhimenko

This paper studies deep network architectures to address the problem of video classification. A multi-stream framework is proposed to fully utilize the rich multimodal information in videos. Specifically, we first train three Convolutional…

Computer Vision and Pattern Recognition · Computer Science 2015-11-12 Zuxuan Wu , Yu-Gang Jiang , Xi Wang , Hao Ye , Xiangyang Xue , Jun Wang

In many engineered systems, optimization is used for decision making at time-scales ranging from real-time operation to long-term planning. This process often involves solving similar optimization problems over and over again with slightly…

Optimization and Control · Mathematics 2019-01-18 Sidhant Misra , Line Roald , Yeesian Ng

Generative conversational interfaces powered by large language models (LLMs) typically stream output token-by-token at a rate determined by computational budget, often neglecting actual human reading speeds and the cognitive load associated…

Human-Computer Interaction · Computer Science 2025-07-25 Chang Xiao , Brenda Yang

We present a streaming model for large-scale classification (in the context of $\ell_2$-SVM) by leveraging connections between learning and computational geometry. The streaming model imposes the constraint that only a single pass over the…

Machine Learning · Computer Science 2009-08-06 Piyush Rai , Hal Daumé , Suresh Venkatasubramanian

Dynamic network data are now available in a wide range of contexts and domains. Several representation formalisms exist to represent dynamic networks, but there is no well-known method to choose one representation over another for a given…

Social and Information Networks · Computer Science 2020-10-15 Remy Cazabet

BM compression is a straightforward and operable way to reduce buffer message length as well as to improve system performance. In this paper, we thoroughly discuss the principles and protocol progress of different compression schemes, and…

Multimedia · Computer Science 2011-09-02 Chunxi Li , Changjia Chen , DahMing Chiu

Various grammar compression algorithms have been proposed in the last decade. A grammar compression is a restricted CFG deriving the string deterministically. An efficient grammar compression develops a smaller CFG by finding duplicated…

Data Structures and Algorithms · Computer Science 2016-09-01 Shouhei Fukunaga , Yoshimasa Takabatake , I Tomohiro , Hiroshi Sakamoto

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

Machine Learning · Computer Science 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

It is well known that text compression can be achieved by predicting the next symbol in the stream of text data based on the history seen up to the current symbol. The better the prediction the more skewed the conditional probability…

Information Theory · Computer Science 2010-08-31 Joel Ratsaby