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We provide a deterministic space-efficient algorithm for estimating ridge regression. For $n$ data points with $d$ features and a large enough regularization parameter, we provide a solution within $\varepsilon$ L$_2$ error using only…

Machine Learning · Computer Science 2021-06-29 Benwei Shi , Jeff M. Phillips

Many well-known, real-world problems involve dynamic data which describe the relationship among the entities. Hypergraphs are powerful combinatorial structures that are frequently used to model such data. For many of today's data-centric…

Data Structures and Algorithms · Computer Science 2021-03-10 Fatih Taşyaran , Berkay Demireller , Kamer Kaya , Bora Uçar

Discovering frequent episodes over event sequences is an important data mining task. In many applications, events constituting the data sequence arrive as a stream, at furious rates, and recent trends (or frequent episodes) can change and…

Machine Learning · Computer Science 2012-05-22 Debprakash Patnaik , Naren Ramakrishnan , Srivatsan Laxman , Badrish Chandramouli

We initiate the study of biological neural networks from the perspective of streaming algorithms. Like computers, human brains suffer from memory limitations which pose a significant obstacle when processing large scale and dynamically…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-06 Yael Hitron , Cameron Musco , Merav Parter

Classical streaming algorithms operate under the (not always reasonable) assumption that the input stream is fixed in advance. Recently, there is a growing interest in designing robust streaming algorithms that provide provable guarantees…

Data Structures and Algorithms · Computer Science 2022-09-27 Idan Attias , Edith Cohen , Moshe Shechner , Uri Stemmer

Low-tubal-rank tensor approximation has been proposed to analyze large-scale and multi-dimensional data. However, finding such an accurate approximation is challenging in the streaming setting, due to the limited computational resources. To…

Machine Learning · Computer Science 2021-08-24 Qianxin Yi , Chenhao Wang , Kaidong Wang , Yao Wang

We study linear programming and general LP-type problems in several big data (streaming and distributed) models. We mainly focus on low dimensional problems in which the number of constraints is much larger than the number of variables. Low…

Data Structures and Algorithms · Computer Science 2019-03-14 Sepehr Assadi , Nikolai Karpov , Qin Zhang

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…

Computer Vision and Pattern Recognition · Computer Science 2015-04-22 Ognjen Arandjelovic , Duc-Son Pham , Svetha Venkatesh

While differentially private synthetic data generation has been explored extensively in the literature, how to update this data in the future if the underlying private data changes is much less understood. We propose an algorithmic…

Cryptography and Security · Computer Science 2024-09-04 Girish Kumar , Thomas Strohmer , Roman Vershynin

An algorithm is proposed, analyzed, and tested experimentally for solving stochastic optimization problems in which the decision variables are constrained to satisfy equations defined by deterministic, smooth, and nonlinear functions. It is…

Optimization and Control · Mathematics 2021-07-09 Frank E. Curtis , Daniel P. Robinson , Baoyu Zhou

Adaptive sampling is a useful algorithmic tool for data summarization problems in the classical centralized setting, where the entire dataset is available to the single processor performing the computation. Adaptive sampling repeatedly…

Data Structures and Algorithms · Computer Science 2020-04-24 Sepideh Mahabadi , Ilya Razenshteyn , David P. Woodruff , Samson Zhou

The turnstile continual release model of differential privacy captures scenarios where a privacy-preserving real-time analysis is sought for a dataset evolving through additions and deletions. In typical applications of real-time data…

Data Structures and Algorithms · Computer Science 2025-05-30 Rachel Cummings , Alessandro Epasto , Jieming Mao , Tamalika Mukherjee , Tingting Ou , Peilin Zhong

Streaming is a model where an input graph is provided one edge at a time, instead of being able to inspect it at will. In this work, we take a parameterized approach by assuming a vertex cover of the graph is given, building on work of…

Data Structures and Algorithms · Computer Science 2021-11-22 Jelle J. Oostveen , Erik Jan van Leeuwen

In many machine learning applications, it is important to explain the predictions of a black-box classifier. For example, why does a deep neural network assign an image to a particular class? We cast interpretability of black-box…

Machine Learning · Statistics 2017-11-27 Ethan R. Elenberg , Alexandros G. Dimakis , Moran Feldman , Amin Karbasi

We generalize the continuous observation privacy setting from Dwork et al. '10 and Chan et al. '11 by allowing each event in a stream to be a subset of some (possibly unknown) universe of items. We design differentially private (DP)…

Data Structures and Algorithms · Computer Science 2022-01-06 Adrian Rivera Cardoso , Ryan Rogers

Anomaly detection is critical for finding suspicious behavior in innumerable systems. We need to detect anomalies in real-time, i.e. determine if an incoming entity is anomalous or not, as soon as we receive it, to minimize the effects of…

Machine Learning · Computer Science 2023-01-31 Siddharth Bhatia

Matrices arising in scientific applications frequently admit linear low-rank approximations due to smoothness in the physical and/or temporal domain of the problem. In large-scale problems, computing an optimal low-rank approximation can be…

Numerical Analysis · Mathematics 2021-05-05 Alec Michael Dunton , Alireza Doostan

End-to-end (E2E) delay is critical for interactive video streaming (IVS) experiences, but remains unsatisfactory for its long-tail distribution caused by periodic large keyframes. Conventional optimization strategies, such as jitter buffer,…

Multimedia · Computer Science 2025-02-10 Xuedou Xiao , Yingying Zuo , Mingxuan Yan , Kezhong Liu , Wei Wang

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…

Data Structures and Algorithms · Computer Science 2025-10-07 Sanjeev Khanna , Ashwin Padaki , Krish Singal , Erik Waingarten

We study a class of filters -- discrete finite-state transition systems employed as incremental stream transducers -- that have application to robotics: e.g., to model combinatorial estimators and also as concise encodings of feedback…

Robotics · Computer Science 2022-04-04 Yulin Zhang , Dylan A. Shell