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We describe a general approach for maximum a posteriori (MAP) inference in a class of discrete-continuous factor graphs commonly encountered in robotics applications. While there are openly available tools providing flexible and easy-to-use…

机器人学 · 计算机科学 2022-11-21 Kevin J. Doherty , Ziqi Lu , Kurran Singh , John J. Leonard

We give a number of explicit matrix-algorithms for analysis/synthesis in multi-phase filtering; i.e., the operation on discrete-time signals which allow a separation into frequency-band components, one for each of the ranges of bands, say…

泛函分析 · 数学 2014-12-10 Palle Jorgensen , Myung-Sin Song

We study the general problem of computing frequency-based functions, i.e., the sum of any given function of data stream frequencies. Special cases include fundamental data stream problems such as computing the number of distinct elements…

数据结构与算法 · 计算机科学 2020-10-08 Prantar Ghosh

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

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

This paper considers an anomaly detection problem in which a detection algorithm assigns anomaly scores to multi-dimensional data points, such as cellular networks' Key Performance Indicators (KPIs). We propose an optimization framework to…

信息论 · 计算机科学 2023-09-01 Ali Maatouk , Fadhel Ayed , Wenjie Li , Yu Wang , Hong Zhu , Jiantao Ye

Auditing differential privacy has emerged as an important area of research that supports the design of privacy-preserving mechanisms. Privacy audits help to obtain empirical estimates of the privacy parameter, to expose flawed…

密码学与安全 · 计算机科学 2025-09-25 Önder Askin , Tim Kutta , Holger Dette

There has been significant recent progress in training differentially private (DP) models which achieve accuracy that approaches the best non-private models. These DP models are typically pretrained on large public datasets and then…

We study the Densest Subgraph (DSG) problem under the additional constraint of differential privacy. DSG is a fundamental theoretical question which plays a central role in graph analytics, and so privacy is a natural requirement. All known…

数据结构与算法 · 计算机科学 2024-04-09 Michael Dinitz , Satyen Kale , Silvio Lattanzi , Sergei Vassilvitskii

This paper develops a novel differentially private framework to solve convex optimization problems with sensitive optimization data and complex physical or operational constraints. Unlike standard noise-additive algorithms, that act…

密码学与安全 · 计算机科学 2020-06-23 Vladimir Dvorkin , Ferdinando Fioretto , Pascal Van Hentenryck , Jalal Kazempour , Pierre Pinson

We study the problem of extracting a small subset of representative items from a large data stream. In many data mining and machine learning applications such as social network analysis and recommender systems, this problem can be…

数据结构与算法 · 计算机科学 2021-02-15 Yanhao Wang , Francesco Fabbri , Michael Mathioudakis

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…

数据结构与算法 · 计算机科学 2025-10-07 Sanjeev Khanna , Ashwin Padaki , Krish Singal , Erik Waingarten

The objective function of a matrix factorization model usually aims to minimize the average of a regression error contributed by each element. However, given the existence of stochastic noises, the implicit deviations of sample data from…

机器学习 · 计算机科学 2016-10-31 Guang-He Lee , Shao-Wen Yang , Shou-De Lin

This paper presents a sequential randomized lowrank matrix factorization approach for incrementally predicting values of an unknown function at test points using the Gaussian Processes framework. It is well-known that in the Gaussian…

机器学习 · 计算机科学 2017-11-21 Shaunak D. Bopardikar , George S. Eskander Ekladious

Consider a large number of detectors each generating a data stream. The task is to detect online, distribution changes in a small fraction of the data streams. Previous approaches to this problem include the use of mixture likelihood ratios…

统计理论 · 数学 2016-01-20 Hock Peng Chan

Rigorous privacy mechanisms that can cope with dynamic data are required to encourage a wider adoption of large-scale monitoring and decision systems relying on end-user information. A promising approach to develop these mechanisms is to…

数据库 · 计算机科学 2013-04-09 Jerome Le Ny

In recent years there has been a growing interest in developing "streaming algorithms" for efficient processing and querying of continuous data streams. These algorithms seek to provide accurate results while minimizing the required storage…

数据结构与算法 · 计算机科学 2016-06-06 Reuven Cohen , Liran Katzir , Aviv Yehezkel

The quickest change detection problem is considered in the context of monitoring large-scale independent normal distributed data streams with possible changes in some of the means. It is assumed that for each individual local data stream,…

统计理论 · 数学 2016-03-18 Yuan Wang , Yajun Mei

We revisit one of the classic problems in the data stream literature, namely, that of estimating the frequency moments $F_p$ for $0 < p < 2$ of an underlying $n$-dimensional vector presented as a sequence of additive updates in a stream. It…

数据结构与算法 · 计算机科学 2018-03-07 Vladimir Braverman , Emanuele Viola , David Woodruff , Lin F. Yang

The change-point detection problem seeks to identify distributional changes at an unknown change-point k* in a stream of data. This problem appears in many important practical settings involving personal data, including biosurveillance,…

统计理论 · 数学 2019-09-10 Rachel Cummings , Sara Krehbiel , Yajun Mei , Rui Tuo , Wanrong Zhang