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Randomized algorithms and data structures are often analyzed under the assumption of access to a perfect source of randomness. The most fundamental metric used to measure how "random" a hash function or a random number generator is, is its…

数据结构与算法 · 计算机科学 2015-02-23 Mathias Bæk Tejs Knudsen , Morten Stöckel

We present new algorithms and fast implementations to find efficient approximations for modelling stochastic processes. For many numerical computations it is essential to develop finite approximations for stochastic processes. While the…

最优化与控制 · 数学 2020-12-03 Kipngeno Benard Kirui , Georg Ch. Pflug , Alois Pichler

Massive sizes of real-world graphs, such as social networks and web graph, impose serious challenges to process and perform analytics on them. These issues can be resolved by working on a small summary of the graph instead . A summary is a…

数据结构与算法 · 计算机科学 2018-06-12 Maham Anwar Beg , Muhammad Ahmad , Arif Zaman , Imdadullah Khan

Sequential importance sampling algorithms have been defined to estimate likelihoods in models of ancestral population processes. However, these algorithms are based on features of the models with constant population size, and become…

统计理论 · 数学 2016-03-24 Coralie Merle , Raphaël Leblois , François Rousset , Pierre Pudlo

Existing high-dimensional online learning methods often face the challenge that their error bounds, or per-batch sample sizes, diverge as the number of data batches increases. To address this issue, we propose an asynchronous decomposition…

机器学习 · 统计学 2026-03-24 Shixiang Liu , Zhifan Li , Hanming Yang , Jianxin Yin

The Count-Min sketch is an important and well-studied data summarization method. It allows one to estimate the count of any item in a stream using a small, fixed size data sketch. However, the accuracy of the sketch depends on…

数据结构与算法 · 计算机科学 2018-11-13 Daniel Ting

Many real world problems require fast and efficient lexical comparison of large numbers of short text strings. Search personalization is one such domain. We introduce the use of feature bit vectors using the hashing trick for improving…

信息检索 · 计算机科学 2019-10-22 Braddock Gaskill

Most density based stream clustering algorithms separate the clustering process into an online and offline component. Exact summarized statistics are being employed for defining micro-clusters or grid cells during the online stage followed…

数据库 · 计算机科学 2016-12-09 Andrei Sorin Sabau

In this paper we study how to perform distinct sampling in the streaming model where data contain near-duplicates. The goal of distinct sampling is to return a distinct element uniformly at random from the universe of elements, given that…

数据结构与算法 · 计算机科学 2018-10-31 Jiecao Chen , Qin Zhang

Consider $K$ processes, each generating a sequence of identical and independent random variables. The probability measures of these processes have random parameters that must be estimated. Specifically, they share a parameter $\theta$…

机器学习 · 计算机科学 2022-10-12 Arpan Mukherjee , Ali Tajer , Pin-Yu Chen , Payel Das

Despite recent progress in video generation, inference speed remains a major bottleneck. A common acceleration strategy involves reusing model outputs via caching mechanisms at fixed intervals. However, we find that such fixed-frequency…

计算机视觉与模式识别 · 计算机科学 2025-07-10 Zishen Huang , Chunyu Yang , Mengyuan Ren

Hyperplane hashing aims at rapidly searching nearest points to a hyperplane, and has shown practical impact in scaling up active learning with SVMs. Unfortunately, the existing randomized methods need long hash codes to achieve reasonable…

机器学习 · 计算机科学 2012-06-22 Wei Liu , Jun Wang , Yadong Mu , Sanjiv Kumar , Shih-Fu Chang

In many emerging applications, data streams are monitored in a network environment. Due to limited communication bandwidth and other resource constraints, a critical and practical demand is to online compress data streams continuously with…

数据结构与算法 · 计算机科学 2008-12-01 Emad Soroush , Kui Wu , Jian Pei

Constrained counting is important in domains ranging from artificial intelligence to software analysis. There are already a few approaches for counting models over various types of constraints. Recently, hashing-based approaches achieve…

人工智能 · 计算机科学 2017-06-14 Cunjing Ge , Feifei Ma , Tian Liu , Jian Zhang

Given a collection of $m$ sets from a universe $\mathcal{U}$, the Maximum Set Coverage problem consists of finding $k$ sets whose union has largest cardinality. This problem is NP-Hard, but the solution can be approximated by a polynomial…

数据结构与算法 · 计算机科学 2023-12-13 Stephen Jaud , Anthony Wirth , Farhana Choudhury

The probability Jaccard similarity was recently proposed as a natural generalization of the Jaccard similarity to measure the proximity of sets whose elements are associated with relative frequencies or probabilities. In combination with a…

数据结构与算法 · 计算机科学 2020-10-27 Otmar Ertl

The need to estimate a particular quantile of a distribution is an important problem which frequently arises in many computer vision and signal processing applications. For example, our work was motivated by the requirements of many…

计算机视觉与模式识别 · 计算机科学 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

Asynchronous events on the continuous time domain, e.g., social media actions and stock transactions, occur frequently in the world. The ability to recognize occurrence patterns of event sequences is crucial to predict which typeof events…

机器学习 · 计算机科学 2020-02-17 Qiang Zhang , Aldo Lipani , Omer Kirnap , Emine Yilmaz

We propose a new type of approximate counting algorithms for the problems of enumerating the number of independent sets and proper colorings in low degree graphs with large girth. Our algorithms are not based on a commonly used Markov chain…

概率论 · 数学 2007-05-23 Antar Bandyopadhyay , David Gamarnik

We consider the problem of sketching the $p$-th frequency moment of a vector, $p>2$, with multiplicative error at most $1\pm \epsilon$ and \emph{with high confidence} $1-\delta$. Despite the long sequence of work on this problem, tight…

数据结构与算法 · 计算机科学 2018-05-29 Sumit Ganguly , David P. Woodruff