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High-dimensional sparse data present computational and statistical challenges for supervised learning. We propose compact linear sketches for reducing the dimensionality of the input, followed by a single layer neural network. We show that…

机器学习 · 计算机科学 2016-04-21 Amit Daniely , Nevena Lazic , Yoram Singer , Kunal Talwar

We propose a new randomized optimization method for high-dimensional problems which can be seen as a generalization of coordinate descent to random subspaces. We show that an adaptive sampling strategy for the random subspace significantly…

最优化与控制 · 数学 2019-12-19 Jonathan Lacotte , Mert Pilanci , Marco Pavone

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

We present a novel approach for the problem of frequency estimation in data streams that is based on optimization and machine learning. Contrary to state-of-the-art streaming frequency estimation algorithms, which heavily rely on random…

数据结构与算法 · 计算机科学 2022-07-19 Dimitris Bertsimas , Vassilis Digalakis

To approximate sums of values in key-value data streams, sketches are widely used in databases and networking systems. They offer high-confidence approximations for any given key while ensuring low time and space overhead. While existing…

数据结构与算法 · 计算机科学 2024-06-04 Yuhan Wu , Hanbo Wu , Xilai Liu , Yikai Zhao , Tong Yang , Kaicheng Yang , Sha Wang , Lihua Miao , Gaogang Xie

Given a social network, which of its nodes are more central? This question has been asked many times in sociology, psychology and computer science, and a whole plethora of centrality measures (a.k.a. centrality indices, or rankings) were…

数据结构与算法 · 计算机科学 2013-08-13 Paolo Boldi , Sebastiano Vigna

A data sketch algorithm scans a big data set, collecting a small amount of data -- the sketch, which can be used to statistically infer properties of the big data set. Some data sketch algorithms take a fixed-size random sample of a big…

机器学习 · 计算机科学 2022-08-16 Eric Bax , John Donald

Cardinality estimation is the task of approximating the number of distinct elements in a large dataset with possibly repeating elements. LogLog and HyperLogLog (c.f. Durand and Flajolet [ESA 2003], Flajolet et al. [Discrete Math Theor.…

数据结构与算法 · 计算机科学 2020-08-19 Aleksander Łukasiewicz , Przemysław Uznański

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

统计理论 · 数学 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

Inhomogeneous random graphs are fundamental models for real-world networks, where prescribed degrees are imposed as soft constraints. A common assumption in such models is that the degree distribution follows a power-law, capturing the…

概率论 · 数学 2026-03-09 Riccardo Michielan , Clara Stegehuis , Bert Zwart

In the era of rapid Internet development, log data has become indispensable for recording the operations of computer devices and software. These data provide valuable insights into system behavior and necessitate thorough analysis. Recent…

密码学与安全 · 计算机科学 2024-09-19 Caihong Wang , Du Xu , Zonghang Li

We consider the nonparametric maximum likelihood estimation for the underlying event time based on mixed-case interval-censored data, under a log-concavity assumption on its distribution function. This generalized framework relaxes the…

统计计算 · 统计学 2024-12-02 Chi Wing Chu , Hok Kan Ling , Chaoyu Yuan

Counting small cohesive subgraphs in a graph is a fundamental operation with numerous applications in graph analysis. Previous studies on cohesive subgraph counting are mainly based on the clique model, which aim to count the number of…

数据结构与算法 · 计算机科学 2024-05-09 Rong-Hua Li , Xiaowei Ye , Fusheng Jin , Yu-Ping Wang , Ye Yuan , Guoren Wang

Sampling from high-dimensional probability distributions is fundamental in machine learning and statistics. As datasets grow larger, computational efficiency becomes increasingly important, particularly in reducing adaptive complexity,…

数据结构与算法 · 计算机科学 2025-09-23 Huanjian Zhou , Masashi Sugiyama

Leveraging the kernel trick in both the input and output spaces, surrogate kernel methods are a flexible and theoretically grounded solution to structured output prediction. If they provide state-of-the-art performance on complex data sets…

机器学习 · 统计学 2024-05-07 Tamim El Ahmad , Luc Brogat-Motte , Pierre Laforgue , Florence d'Alché-Buc

The log-concave maximum likelihood estimator (MLE) problem answers: for a set of points $X_1,...X_n \in \mathbb R^d$, which log-concave density maximizes their likelihood? We present a characterization of the log-concave MLE that leads to…

数据结构与算法 · 计算机科学 2018-11-09 Brian Axelrod , Gregory Valiant

Hypergraphs, increasingly utilised to model complex and diverse relationships in modern networks, have gained significant attention for representing intricate higher-order interactions. Among various challenges, cohesive subgraph discovery…

社会与信息网络 · 计算机科学 2025-07-14 Dahee Kim , Hyewon Kim , Song Kim , Minseok Kim , Junghoon Kim , Yeon-Chang Lee , Sungsu Lim

Studying the computational complexity of problems is one of the - if not the - fundamental questions in computer science. Yet, surprisingly little is known about the computational complexity of many central problems in data mining. In this…

计算复杂性 · 计算机科学 2017-09-05 Stefan Neumann , Pauli Miettinen

In this paper, we introduce a generalization of graphlets to heterogeneous networks called typed graphlets. Informally, typed graphlets are small typed induced subgraphs. Typed graphlets generalize graphlets to rich heterogeneous networks…

社会与信息网络 · 计算机科学 2020-10-28 Ryan A. Rossi , Nesreen K. Ahmed , Aldo Carranza , David Arbour , Anup Rao , Sungchul Kim , Eunyee Koh

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