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Data-driven models (DDM) based on machine learning and other AI techniques play an important role in the perception of increasingly autonomous systems. Due to the merely implicit definition of their behavior mainly based on the data used…

Software Engineering · Computer Science 2022-06-15 Janek Groß , Rasmus Adler , Michael Kläs , Jan Reich , Lisa Jöckel , Roman Gansch

The strong impulse to digitize processes and operations in companies and enterprises have resulted in the creation and automatic recording of an increasingly large amount of process data in information systems. These are made available in…

Artificial Intelligence · Computer Science 2022-04-11 Marco Pegoraro , Merih Seran Uysal , Wil M. P. van der Aalst

As data plays an increasingly pivotal role in decision-making, the emergence of data markets underscores the growing importance of data valuation. Within the machine learning landscape, Data Shapley stands out as a widely embraced method…

Machine Learning · Statistics 2024-07-30 Mengmeng Wu , Zhihong Liu , Xiang Li , Ruoxi Jia , Xiangyu Chang

Estimating the uncertainty of a neural network plays a fundamental role in safety-critical settings. In perception for autonomous driving, measuring the uncertainty means providing additional calibrated information to downstream tasks, such…

Computer Vision and Pattern Recognition · Computer Science 2021-12-30 Stefano Gasperini , Jan Haug , Mohammad-Ali Nikouei Mahani , Alvaro Marcos-Ramiro , Nassir Navab , Benjamin Busam , Federico Tombari

A major challenge in next-generation industrial applications is to improve numerical analysis by quantifying uncertainties in predictions. In this work we present a formulation of a fully nonlinear and dispersive potential flow water wave…

Computational Physics · Physics 2016-04-15 Daniele Bigoni , Allan P. Engsig-Karup , Claes Eskilsson

The optimization of composition and processing to obtain materials that exhibit desirable characteristics has historically relied on a combination of scientist intuition, trial and error, and luck. We propose a methodology that can…

Machine Learning · Statistics 2017-07-20 Julia Ling , Max Hutchinson , Erin Antono , Sean Paradiso , Bryce Meredig

Process mining is a scientific discipline that analyzes event data, often collected in databases called event logs. Recently, uncertain event logs have become of interest, which contain non-deterministic and stochastic event attributes that…

Artificial Intelligence · Computer Science 2022-04-05 Marco Pegoraro , Bianka Bakullari , Merih Seran Uysal , Wil M. P. van der Aalst

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

The manuscript introduces a method to select a random sample from a stream by deciding on each sampling unit immediately after observing it. The process could be applied to unequal as well as equal probability sampling. The implementation…

Data Structures and Algorithms · Computer Science 2021-11-19 Bardia Panahbehagh , Raphaël Jauslin , Yves Tillé

This work is devoted to a certain class of probabilistic snapshots for elements of the observed data stream. We show you how one can control their probabilistic properties and we show some potential applications. Our solution can be used to…

Information Retrieval · Computer Science 2022-06-24 Dominik Bojko , Jacek Cichoń

[Background] Nowadays, there is a massive growth of data volume and speed in many types of systems. It introduces new needs for infrastructure and applications that have to handle streams of data with low latency and high throughput.…

Software Engineering · Computer Science 2019-09-25 Alexandre Vianna , Waldemar Ferreira , Kiev Gama

As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade, there has been tremendous success in using deep learning…

Robotics · Computer Science 2024-09-10 Hao Wang , Javier Borquez , Somil Bansal

We present an open-source solution for the operational control of drinking water distribution networks which accounts for the inherent uncertainty in water demand and electricity prices in the day-ahead market of a volatile deregulated…

Optimization and Control · Mathematics 2019-04-25 Pantelis Sopasakis , Ajay K. Sampathirao , Alberto Bemporad , Panagiotis Patrinos

The probabilistic-stream model was introduced by Jayram et al. \cite{JKV07}. It is a generalization of the data stream model that is suited to handling ``probabilistic'' data where each item of the stream represents a probability…

Data Structures and Algorithms · Computer Science 2007-05-23 Andrew McGregor , S. Muthukrishnan

In this paper we consider the problem of estimating quantiles when data are received sequentially (data stream). For real life data streams, the distribution of the data typically varies with time making estimation of quantiles challenging.…

Methodology · Statistics 2017-02-02 Hugo Lewi Hammer , Anis Yazidi , Håvard Rue

We study stochastic dynamical systems in settings where only partial statistical information about the noise is available, e.g., in the form of a limited number of noise realizations. Such systems are particularly challenging to analyze and…

Optimization and Control · Mathematics 2023-04-06 Liviu Aolaritei , Nicolas Lanzetti , Florian Dörfler

In many applications, from sensor to social networks, gene regulatory networks or big data, observations can be represented as a signal defined over the vertices of a graph. Building on the recently introduced Graph Fourier Transform, the…

Information Theory · Computer Science 2015-12-03 Mikhail Tsitsvero , Sergio Barbarossa , Paolo Di Lorenzo

The last decade witnessed an explosion in the availability of data for operations research applications. Motivated by this growing availability, we propose a novel schema for utilizing data to design uncertainty sets for robust optimization…

Optimization and Control · Mathematics 2014-11-25 Dimitris Bertsimas , Vishal Gupta , Nathan Kallus

Much of uncertainty quantification to date has focused on determining the effect of variables modeled probabilistically, and with a known distribution, on some physical or engineering system. We develop methods to obtain information on the…

Numerical Analysis · Mathematics 2015-03-19 Kamaljit Chowdhary , Paul Dupuis

The statistics obtained from turbulent flow simulations are generally uncertain due to finite time averaging. The techniques available in the literature to accurately estimate these uncertainties typically only work in an offline mode, that…