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Stream monitoring is fundamental in many data stream applications, such as financial data trackers, security, anomaly detection, and load balancing. In that respect, quantiles are of particular interest, as they often capture the user's…

数据结构与算法 · 计算机科学 2022-01-07 Rana Shahout , Roy Friedman , Ran Ben Basat

The efficient estimation of frequency moments of a data stream in one-pass using limited space and time per item is one of the most fundamental problem in data stream processing. An especially important estimation is to find the number of…

数据结构与算法 · 计算机科学 2010-10-29 Gokarna Sharma , Costas Busch , Srikanta Tirthapura

Influence maximization (IM) is the problem of finding a seed vertex set that maximizes the expected number of vertices influenced under a given diffusion model. Due to the NP-Hardness of finding an optimal seed set, approximation algorithms…

社会与信息网络 · 计算机科学 2021-05-11 Gokhan Gokturk , Kamer Kaya

Given a labeled graph, the frequent-subgraph mining (FSM) problem asks to find all the $k$-vertex subgraphs that appear with frequency greater than a given threshold. FSM has numerous applications ranging from biology to network science, as…

数据结构与算法 · 计算机科学 2018-09-11 Cigdem Aslay , Muhammad Anis Uddin Nasir , Gianmarco De Francisci Morales , Aristides Gionis

Anomaly detection in dynamic graphs is essential for identifying malicious activities, fraud, and unexpected behaviors in real-world systems such as cybersecurity and power grids. However, existing approaches struggle with scalability,…

机器学习 · 计算机科学 2025-09-16 Ocheme Anthony Ekle , William Eberle

Sketches are probabilistic data structures that can provide approximate results within mathematically proven error bounds while using orders of magnitude less memory than traditional approaches. They are tailored for streaming data analysis…

数据结构与算法 · 计算机科学 2019-03-05 Fatih Taşyaran , Kerem Yıldırır , Kamer Kaya , Mustafa Kemal Taş

Many streaming algorithms provide only a high-probability relative approximation. These two relaxations, of allowing approximation and randomization, seem necessary -- for many streaming problems, both relaxations must be employed…

数据结构与算法 · 计算机科学 2023-05-16 Vladimir Braverman , Robert Krauthgamer , Aditya Krishnan , Shay Sapir

\begin{abstract} The frequencies of the elements in a data stream are an important statistical measure and the task of estimating them arises in many applications within data analysis and machine learning. Two of the most popular algorithms…

数据结构与算法 · 计算机科学 2020-08-12 Anders Aamand , Piotr Indyk , Ali Vakilian

Low-rank approximation in data streams is a fundamental and significant task in computing science, machine learning and statistics. Multiple streaming algorithms have emerged over years and most of them are inspired by randomized…

数据结构与算法 · 计算机科学 2022-09-30 Cuiyu Liu , Chuanfu Xiao , Mingshuo Ding , Chao Yang

We introduce a new sub-linear space sketch---the Weight-Median Sketch---for learning compressed linear classifiers over data streams while supporting the efficient recovery of large-magnitude weights in the model. This enables…

机器学习 · 计算机科学 2018-04-10 Kai Sheng Tai , Vatsal Sharan , Peter Bailis , Gregory Valiant

Elastic-Sketch is a hash-based data structure for counting item's appearances in a data stream, and it has been empirically shown to achieve a better memory-accuracy trade-off compared to classical methods. This algorithm combines a heavy…

数据结构与算法 · 计算机科学 2026-03-27 Younes Ben Mazziane , Vinay Kumar B. R. , Othmane Marfoq

A sketch is a probabilistic data structure used to record frequencies of items in a multi-set. Sketches are widely used in various fields, especially those that involve processing and storing data streams. In streaming applications with…

数据结构与算法 · 计算机科学 2017-02-08 Tong Yang , Lingtong Liu , Yibo Yan , Muhammad Shahzad , Yulong Shen , Xiaoming Li , Bin Cui , Gaogang Xie

Estimating the number of subgraphs in data streams is a fundamental problem that has received great attention in the past decade. In this paper, we give improved streaming algorithms for approximately counting the number of occurrences of…

数据结构与算法 · 计算机科学 2022-03-29 Hendrik Fichtenberger , Pan Peng

A fundamental question in streaming complexity is whether every space-efficient turnstile algorithm is implicitly a linear sketch. The landmark work of Li, Nguyen, and Woodruff [LNW14] established an equivalence between the two, but their…

数据结构与算法 · 计算机科学 2026-04-27 Cheng Jiang , Yinchen Liu , Huacheng Yu

While traditional data-management systems focus on evaluating single, ad-hoc queries over static data sets in a centralized setting, several emerging applications require (possibly, continuous) answers to queries on dynamic data that is…

数据库 · 计算机科学 2015-03-20 Odysseas Papapetrou , Minos Garofalakis , Antonios Deligiannakis

While Test-Time Scaling (TTS) offers a promising direction to enhance video generation without the surging costs of training, current test-time video generation methods based on diffusion models suffer from exorbitant candidate exploration…

计算机视觉与模式识别 · 计算机科学 2026-05-07 Yijing Tu , Shaojin Wu , Mengqi Huang , Wenchuan Wang , Yuxin Wang , Chunxiao Liu , Zhendong Mao

The traditional requirement for a randomized streaming algorithm is just {\em one-shot}, i.e., algorithm should be correct (within the stated $\eps$-error bound) at the end of the stream. In this paper, we study the {\em tracking} problem,…

数据结构与算法 · 计算机科学 2014-12-05 Zengfeng Huang , Wai Ming Tai , Ke Yi

Sketching algorithms have recently proven to be a powerful approach both for designing low-space streaming algorithms as well as fast polynomial time approximation schemes (PTAS). In this work, we develop new techniques to extend the…

数据结构与算法 · 计算机科学 2023-10-31 Gregory Dexter , Petros Drineas , David P. Woodruff , Taisuke Yasuda

Estimating frequencies of elements appearing in a data stream is a key task in large-scale data analysis. Popular sketching approaches to this problem (e.g., CountMin and CountSketch) come with worst-case guarantees that probabilistically…

数据结构与算法 · 计算机科学 2023-12-13 Anders Aamand , Justin Y. Chen , Huy Lê Nguyen , Sandeep Silwal , Ali Vakilian

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…

数据结构与算法 · 计算机科学 2014-08-11 Marc Heinrich , Alexander Munteanu , Christian Sohler