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Recent work has explored transforming data sets into smaller, approximate summaries in order to scale Bayesian inference. We examine a related problem in which the parameters of a Bayesian model are very large and expensive to store in…

机器学习 · 计算机科学 2018-10-03 Joseph Tassarotti , Jean-Baptiste Tristan , Michael Wick

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…

分布式、并行与集群计算 · 计算机科学 2020-06-23 Burak Bartan , Mert Pilanci

Sketches are commonly used in computer systems and network monitoring tools to provide efficient query executions while maintaining a compact data representation. Switches and routers maintain sketches to track statistical characteristics…

分布式、并行与集群计算 · 计算机科学 2025-11-11 Diana Cohen , Roy Friedman , Rana Shahout

Random sketching is a dimensionality reduction technique that approximately preserves norms and singular values up to some $O(1)$ distortion factor with high probability. The most popular sketches in literature are the Gaussian sketch and…

数值分析 · 数学 2025-08-21 Andrew J. Higgins , Erik G. Boman , Ichitaro Yamazaki

Sketching is a probabilistic data compression technique that has been largely developed in the computer science community. Numerical operations on big datasets can be intolerably slow; sketching algorithms address this issue by generating a…

统计方法学 · 统计学 2019-04-04 Daniel Ahfock , William J. Astle , Sylvia Richardson

Sketching is one of the most fundamental tools in large-scale machine learning. It enables runtime and memory saving via randomly compressing the original large problem into lower dimensions. In this paper, we propose a novel sketching…

机器学习 · 计算机科学 2023-06-08 Zhao Song , Yitan Wang , Zheng Yu , Lichen Zhang

Approximation of non-linear kernels using random feature maps has become a powerful technique for scaling kernel methods to large datasets. We propose $\textit{Tensor Sketch}$, an efficient random feature map for approximating polynomial…

数据结构与算法 · 计算机科学 2025-05-20 Ninh Pham , Rasmus Pagh

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…

机器学习 · 计算机科学 2021-12-08 Debajyoti Bera , Rameshwar Pratap , Bhisham Dev Verma

Quantiles are very important statistics information used to describe the distribution of datasets. Given the quantiles of a dataset, we can easily know the distribution of the dataset, which is a fundamental problem in data analysis.…

数据库 · 计算机科学 2015-08-25 Zixuan Zhuang

Count-sketch is a popular matrix sketching algorithm that can produce a sketch of an input data matrix X in O(nnz(X))time where nnz(X) denotes the number of non-zero entries in X. The sketched matrix will be much smaller than X while…

机器学习 · 计算机科学 2020-11-30 Yuhan Wang , Zijian Lei , Liang Lan

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…

数据结构与算法 · 计算机科学 2022-08-22 Shaked Elias-Zada , Arik Rinberg , Idit Keidar

We consider distributed optimization methods for problems where forming the Hessian is computationally challenging and communication is a significant bottleneck. We leverage randomized sketches for reducing the problem dimensions as well as…

最优化与控制 · 数学 2022-03-21 Burak Bartan , Mert Pilanci

Estimating ranks, quantiles, and distributions over streaming data is a central task in data analysis and monitoring. Given a stream of $n$ items from a data universe equipped with a total order, the task is to compute a sketch (data…

数据结构与算法 · 计算机科学 2023-08-25 Graham Cormode , Zohar Karnin , Edo Liberty , Justin Thaler , Pavel Veselý

Distance computation is one of the most fundamental primitives used in communication networks. The cost of effectively and accurately computing pairwise network distances can become prohibitive in large-scale networks such as the Internet…

数据结构与算法 · 计算机科学 2011-12-07 Atish Das Sarma , Michael Dinitz , Gopal Pandurangan

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…

信息检索 · 计算机科学 2019-10-11 Rameshwar Pratap , Debajyoti Bera , Karthik Revanuru

Estimating cardinality, i.e., the number of distinct elements, of a data stream is a fundamental problem in areas like databases, computer networks, and information retrieval. This study delves into a broader scenario where each element…

数据库 · 计算机科学 2024-06-28 Yiyan Qi , Rundong Li , Pinghui Wang , Yufang Sun , Rui Xing

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…

机器学习 · 计算机科学 2019-12-09 Tian Li , Zaoxing Liu , Vyas Sekar , Virginia Smith

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

Cardinality estimation is perhaps the simplest non-trivial statistical problem that can be solved via sketching. Industrially-deployed sketches like HyperLogLog, MinHash, and PCSA are mergeable, which means that large data sets can be…

数据结构与算法 · 计算机科学 2021-02-17 Seth Pettie , Dingyu Wang , Longhui Yin

With the increasing rate of data generated by critical systems, estimating functions on streaming data has become essential. This demand has driven numerous advancements in algorithms designed to efficiently query and analyze one or more…

数据库 · 计算机科学 2024-05-16 Mike Heddes , Igor Nunes , Tony Givargis , Alex Nicolau