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Data structures that allow efficient distance estimation (distance oracles, distance sketches, etc.) have been extensively studied, and are particularly well studied in centralized models and classical distributed models such as CONGEST. We…

Data Structures and Algorithms · Computer Science 2019-09-13 Michael Dinitz , Yasamin Nazari

We study when a single linear sketch can control the largest and smallest nonzero singular values of every rank-$r$ matrix. Classical oblivious embeddings require $s=\Theta(r/\varepsilon^{2})$ for $(1\pm\varepsilon)$ distortion, but this…

Numerical Analysis · Mathematics 2025-11-18 John M. Mango , Ronald Katende

We study the space complexity of estimating the diameter of a subset of points in an arbitrary metric space in the dynamic (turnstile) streaming model. The input is given as a stream of updates to a frequency vector $x \in \mathbb{Z}_{\geq…

Data Structures and Algorithms · Computer Science 2025-10-07 Sanjeev Khanna , Ashwin Padaki , Krish Singal , Erik Waingarten

In this paper we study graph problems in dynamic streaming model, where the input is defined by a sequence of edge insertions and deletions. As many natural problems require $\Omega(n)$ space, where $n$ is the number of vertices, existing…

Data Structures and Algorithms · Computer Science 2016-05-03 Zengfeng Huang , Pan Peng

High-density object counting in surveillance scenes is challenging mainly due to the drastic variation of object scales. The prevalence of deep learning has largely boosted the object counting accuracy on several benchmark datasets.…

Computer Vision and Pattern Recognition · Computer Science 2019-04-09 Muming Zhao , Jian Zhang , Chongyang Zhang , Wenjun Zhang

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

Sketch is an important media for human to communicate ideas, which reflects the superiority of human intelligence. Studies on sketch can be roughly summarized into recognition and generation. Existing models on image recognition failed to…

Computer Vision and Pattern Recognition · Computer Science 2017-09-14 Yajing Chen , Shikui Tu , Yuqi Yi , Lei Xu

We study classic streaming and sparse recovery problems using deterministic linear sketches, including l1/l1 and linf/l1 sparse recovery problems (the latter also being known as l1-heavy hitters), norm estimation, and approximate inner…

Data Structures and Algorithms · Computer Science 2012-12-12 Jelani Nelson , Huy Nguyen , David P. Woodruff

Computing the approximate quantiles or ranks of a stream is a fundamental task in data monitoring. Given a stream of elements $x_1, x_2, \dots, x_n$ and a query $x$, a relative-error quantile estimation algorithm can estimate the rank of…

Data Structures and Algorithms · Computer Science 2024-11-05 Elena Gribelyuk , Pachara Sawettamalya , Hongxun Wu , Huacheng Yu

We study the Maximum Independent Set problem for geometric objects given in the data stream model. A set of geometric objects is said to be independent if the objects are pairwise disjoint. We consider geometric objects in one and two…

Data Structures and Algorithms · Computer Science 2020-03-26 Ainesh Bakshi , Nadiia Chepurko , David P. Woodruff

We propose a framework to continuously learn object-centric representations for visual learning and understanding. Existing object-centric representations either rely on supervisions that individualize objects in the scene, or perform…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Chuanyu Pan , Yanchao Yang , Kaichun Mo , Yueqi Duan , Leonidas Guibas

We introduce a new computational model for data streams: asymptotically exact streaming algorithms. These algorithms have an approximation ratio that tends to one as the length of the stream goes to infinity while the memory used by the…

Data Structures and Algorithms · Computer Science 2014-08-11 Marc Heinrich , Alexander Munteanu , Christian Sohler

Deep networks have achieved excellent results in perceptual tasks, yet their ability to generalize to variations not seen during training has come under increasing scrutiny. In this work we focus on their ability to have invariance towards…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Alex Lamb , Sherjil Ozair , Vikas Verma , David Ha

Kernel density estimation is a simple and effective method that lies at the heart of many important machine learning applications. Unfortunately, kernel methods scale poorly for large, high dimensional datasets. Approximate kernel density…

Data Structures and Algorithms · Computer Science 2019-12-06 Benjamin Coleman , Anshumali Shrivastava

The scarcity of free-hand sketch presents a challenging problem. Despite the emergence of some large-scale sketch datasets, these datasets primarily consist of sketches at the single-object level. There continues to be a lack of large-scale…

Computer Vision and Pattern Recognition · Computer Science 2024-05-30 Zhenbei Wu , Qiang Wang , Jie Yang

Recent advancement of the WWW, IOT, social network, e-commerce, etc. have generated a large volume of data. These datasets are mostly represented by high dimensional and sparse datasets. Many fundamental subroutines of common data analytic…

Information Retrieval · Computer Science 2019-10-11 Rameshwar Pratap , Debajyoti Bera , Karthik Revanuru

We present an algorithm for the maximum matching problem in dynamic (insertion-deletions) streams with *asymptotically optimal* space complexity: for any $n$-vertex graph, our algorithm with high probability outputs an $\alpha$-approximate…

Data Structures and Algorithms · Computer Science 2022-02-01 Sepehr Assadi , Vihan Shah

Space-efficient streaming estimation of quantiles in massive datasets is a fundamental problem with numerous applications in data monitoring and analysis. While theoretical research led to optimal algorithms, such as the Greenwald-Khanna…

Data Structures and Algorithms · Computer Science 2025-09-12 Aleksander Łukasiewicz , Jakub Tětek , Pavel Veselý

Sketches, with their expressive potential, allow humans to convey the essence of an object through even a rough contour. For the first time, we harness this expressive potential to improve segmentation performance in challenging tasks like…

Computer Vision and Pattern Recognition · Computer Science 2025-02-03 Ying Zang , Runlong Cao , Jianqi Zhang , Yidong Han , Ziyue Cao , Wenjun Hu , Didi Zhu , Lanyun Zhu , Zejian Li , Deyi Ji , Tianrun Chen

We initiate the study of graph algorithms in the streaming setting on massive distributed and parallel systems inspired by practical data processing systems. The objective is to design algorithms that can efficiently process evolving graphs…

Data Structures and Algorithms · Computer Science 2025-01-20 Artur Czumaj , Gopinath Mishra , Anish Mukherjee