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The challenges of graph stream algorithms are twofold. First, each edge needs to be processed only once, and second, it needs to work on highly constrained memory. Diffusion degree is a measure of node centrality that can be calculated (for…

Data Structures and Algorithms · Computer Science 2024-02-01 Vinit Ramesh Gore , Suman Kundu , Anggy Eka Pratiwi

Big data problems frequently require processing datasets in a streaming fashion, either because all data are available at once but collectively are larger than available memory or because the data intrinsically arrive one data point at a…

Computation · Statistics 2018-08-08 Andrea Giovannucci , Victor Minden , Cengiz Pehlevan , Dmitri B. Chklovskii

Categorical attributes are those that can take a discrete set of values, e.g., colours. This work is about compressing vectors over categorical attributes to low-dimension discrete vectors. The current hash-based methods compressing vectors…

Machine Learning · Computer Science 2021-12-08 Debajyoti Bera , Rameshwar Pratap , Bhisham Dev Verma

In this paper, a new measurement to compare two large-scale graphs based on the theory of quantum probability is proposed. An explicit form for the spectral distribution of the corresponding adjacency matrix of a graph is established. Our…

Discrete Mathematics · Computer Science 2018-07-03 Hayoung Choi , Hosoo Lee , Yifei Shen , Yuanming Shi

Communication and privacy are two critical concerns in distributed learning. Many existing works treat these concerns separately. In this work, we argue that a natural connection exists between methods for communication reduction and…

Machine Learning · Computer Science 2019-12-09 Tian Li , Zaoxing Liu , Vyas Sekar , Virginia Smith

The complex dynamics of physical systems can often be modeled with stochastic differential equations. However, computational constraints inhibit the estimation of dynamics from large time-series datasets. I present a method for estimating…

Data Analysis, Statistics and Probability · Physics 2023-11-02 William Davis

Sketches are a family of streaming algorithms widely used in the world of big data to perform fast, real-time analytics. A popular sketch type is Quantiles, which estimates the data distribution of a large input stream. We present…

Data Structures and Algorithms · Computer Science 2022-08-22 Shaked Elias-Zada , Arik Rinberg , Idit Keidar

Sketches are a medium to convey a visual scene from an individual's creative perspective. The addition of color substantially enhances the overall expressivity of a sketch. This paper proposes two methods to mimic human-drawn colored…

Computer Vision and Pattern Recognition · Computer Science 2022-01-10 V Manushree , Sameer Saxena , Parna Chowdhury , Manisimha Varma , Harsh Rathod , Ankita Ghosh , Sahil Khose

In an age of exponentially increasing data generation, performing inference tasks by utilizing the available information in its entirety is not always an affordable option. The present paper puts forth approaches to render tracking of…

Applications · Statistics 2017-06-07 Dimitris Berberidis , Georgios B. Giannakis

In this work, we study distributed sketching methods for large scale regression problems. We leverage multiple randomized sketches for reducing the problem dimensions as well as preserving privacy and improving straggler resilience in…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-23 Burak Bartan , Mert Pilanci

Data sketching is a critical tool for distinct counting, enabling multisets to be represented by compact summaries that admit fast cardinality estimates. Because sketches may be merged to summarize multiset unions, they are a basic building…

Data Structures and Algorithms · Computer Science 2023-02-07 Jonathan Hehir , Daniel Ting , Graham Cormode

Estimating the distribution and quantiles of data is a foundational task in data mining and data science. We study algorithms which provide accurate results for extreme quantile queries using a small amount of space, thus helping to…

Data Structures and Algorithms · Computer Science 2021-06-11 Graham Cormode , Abhinav Mishra , Joseph Ross , Pavel Veselý

Stream processing applications extract value from raw data through Directed Acyclic Graphs of data analysis tasks. Shared-nothing (SN) parallelism is the de-facto standard to scale stream processing applications. Given an application, SN…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-05-02 Vincenzo Gulisano , Hannaneh Najdataei , Yiannis Nikolakopoulos , Alessandro V. Papadopoulos , Marina Papatriantafilou , Philippas Tsigas

Modern stream processing systems often need to track the frequency of distinct keys in a data stream in real-time. Since maintaining exact counts can require a prohibitive amount of memory, many applications rely on compact, probabilistic…

Data Structures and Algorithms · Computer Science 2026-04-29 Navid Eslami , Ioana O. Bercea , Rasmus Pagh , Niv Dayan

Monitoring the performance of large shared computing systems such as the cloud computing infrastructure raises many challenging algorithmic problems. One common problem is to track users with the largest deviation from the norm (outliers),…

Databases · Computer Science 2009-07-20 Chiranjeeb Buragohain , Luca Foschini , Subhash Suri

The degree distribution is one of the most fundamental graph properties of interest for real-world graphs. It has been widely observed in numerous domains that graphs typically have a tailed or scale-free degree distribution. While the…

Data Structures and Algorithms · Computer Science 2015-11-30 Olivia Simpson , C. Seshadhri , Andrew McGregor

In this paper, we present a new metric distance for comparing two large graphs to find similarities and differences between them based on one of the most important graph structural properties, which is Node Adjacency Information, for all…

Discrete Mathematics · Computer Science 2022-06-14 Arefe Alikhani , Farzad Didehvar

Many data sources can be interpreted as time-series, and a key problem is to identify which pairs out of a large collection of signals are highly correlated. We expect that there will be few, large, interesting correlations, while most…

Data Structures and Algorithms · Computer Science 2017-10-06 Graham Cormode , Jacques Dark

Randomized algorithms, such as randomized sketching or stochastic optimization, are a promising approach to ease the computational burden in analyzing large datasets. However, randomized algorithms also produce non-deterministic outputs,…

Methodology · Statistics 2025-05-13 Zhixiang Zhang , Sokbae Lee , Edgar Dobriban

The blooming availability of traces for social, biological, and communication networks opens up unprecedented opportunities in analyzing diffusion processes in networks. However, the sheer sizes of the nowadays networks raise serious…

Data Structures and Algorithms · Computer Science 2017-09-13 Hung T. Nguyen , Tri P. Nguyen , NhatHai Phan , Thang N. Dinh