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In this work, an adaptive predictive control scheme for linear systems with unknown parameters and bounded additive disturbances is proposed. In contrast to related adaptive control approaches that robustly consider the parametric…

Systems and Control · Electrical Eng. & Systems 2025-03-03 Johannes Teutsch , Christopher Narr , Sebastian Kerz , Dirk Wollherr , Marion Leibold

In this thesis, we explore streaming algorithms for approximating constraint satisfaction problems (CSPs). The setup is roughly the following: A computer has limited memory space, sees a long "stream" of local constraints on a set of…

Data Structures and Algorithms · Computer Science 2023-04-14 Noah G. Singer

Partitioning graphs into blocks of roughly equal size is widely used when processing large graphs. Currently there is a gap in the space of available partitioning algorithms. On the one hand, there are streaming algorithms that have been…

Data Structures and Algorithms · Computer Science 2021-12-23 Marcelo Fonseca Faraj , Christian Schulz

Devising intelligent agents able to live in an environment and learn by observing the surroundings is a longstanding goal of Artificial Intelligence. From a bare Machine Learning perspective, challenges arise when the agent is prevented…

Computer Vision and Pattern Recognition · Computer Science 2022-04-27 Matteo Tiezzi , Simone Marullo , Lapo Faggi , Enrico Meloni , Alessandro Betti , Stefano Melacci

Anomaly detection when observing a large number of data streams is essential in a variety of applications, ranging from epidemiological studies to monitoring of complex systems. High-dimensional scenarios are usually tackled with…

Methodology · Statistics 2025-12-18 Ivo V. Stoepker , Rui M. Castro , Ery Arias-Castro , Edwin van den Heuvel

In this paper, an alternative approximation to the innovation method is introduced for the parameter estimation of diffusion processes from partial and noisy observations. This is based on a convergent approximation to the first two…

Optimization and Control · Mathematics 2013-12-19 J. C. Jimenez

Stream mining poses unique challenges to machine learning: predictive models are required to be scalable, incrementally trainable, must remain bounded in size (even when the data stream is arbitrarily long), and be nonparametric in order to…

Machine Learning · Statistics 2015-08-21 Rocco De Rosa , Francesco Orabona , Nicolò Cesa-Bianchi

We study the numerical solution of nonlinear partially observed optimal stopping problems. The system state is taken to be a multi-dimensional diffusion and drives the drift of the observation process, which is another multi-dimensional…

Optimization and Control · Mathematics 2010-01-20 Mike Ludkovski

In this paper we improve the approximation ratio for the problem of scheduling packets on line networks with bounded buffers, where the aim is that of maximizing the throughput. Each node in the network has a local buffer of bounded size…

Data Structures and Algorithms · Computer Science 2020-09-30 Guy Even , Moti Medina , Adi Rosén

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

Data stream algorithms tackle operations on high-volume sequences of read-once data items. Data stream scenarios include inherently real-time systems like sensor networks and financial markets. They also arise in purely-computational…

Data Structures and Algorithms · Computer Science 2024-03-04 Matthew Andres Moreno , Santiago Rodriguez Papa , Emily Dolson

This paper concerns the adaptive control problem for a class of nonlinear stochastic systems in which the state update is given by a nonlinear function of linear dynamics plus additive stochastic noise. Such systems arise in a wide range of…

Systems and Control · Electrical Eng. & Systems 2026-04-09 Lantian Zhang , Bo Wahlberg , Silun Zhang

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…

Data Structures and Algorithms · Computer Science 2022-01-07 Rana Shahout , Roy Friedman , Ran Ben Basat

We present statistical methods for big data arising from online analytical processing, where large amounts of data arrive in streams and require fast analysis without storage/access to the historical data. In particular, we develop…

Computation · Statistics 2018-06-13 Elizabeth D. Schifano , Jing Wu , Chun Wang , Jun Yan , Ming-Hui Chen

Randomized algorithms, such as randomized sketching or stochastic optimization, are a promising approach to ease the computational burden in analyzing large datasets. However, randomized algorithms also produce non-deterministic outputs,…

Methodology · Statistics 2025-05-13 Zhixiang Zhang , Sokbae Lee , Edgar Dobriban

We consider \textsc{Persistence}, a new online problem concerning optimizing weighted observations in a stream of data when the observer has limited buffer capacity. A stream of weighted items arrive one at a time at the entrance of a…

Data Structures and Algorithms · Computer Science 2016-04-12 Konstantinos Georgiou , George Karakostas , Evangelos Kranakis , Danny Krizanc

Computing the approximate quantiles or ranks of a stream is a fundamental task in data monitoring. Given a stream of elements $x_1, x_2, \dots, x_n$ and a query $x$, a relative-error quantile estimation algorithm can estimate the rank of…

Data Structures and Algorithms · Computer Science 2024-11-05 Elena Gribelyuk , Pachara Sawettamalya , Hongxun Wu , Huacheng Yu

In this paper, we study streaming algorithms that minimize the number of changes made to their internal state (i.e., memory contents). While the design of streaming algorithms typically focuses on minimizing space and update time, these…

Data Structures and Algorithms · Computer Science 2024-06-12 Rajesh Jayaram , David P. Woodruff , Samson Zhou

Streaming computation plays an important role in large-scale data analysis. The sliding window model is a model of streaming computation which also captures the recency of the data. In this model, data arrives one item at a time, but only…

Data Structures and Algorithms · Computer Science 2021-11-01 Alessandro Epasto , Mohammad Mahdian , Vahab Mirrokni , Peilin Zhong

The non-stationary evolution of observable quantities in complex systems can frequently be described as a juxtaposition of quasi-stationary spells. Given that standard theoretical and data analysis approaches usually rely on the assumption…

Statistical Mechanics · Physics 2011-10-18 S. Camargo , S. Duarte Queirós , C. Anteneodo