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Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

With the rapid advancements of sensor technology and deep learning, autonomous driving systems are providing safe and efficient access to intelligent vehicles as well as intelligent transportation. Among these equipped sensors, the radar…

Computer Vision and Pattern Recognition · Computer Science 2025-04-22 Shanliang Yao , Runwei Guan , Zitian Peng , Chenhang Xu , Yilu Shi , Weiping Ding , Eng Gee Lim , Yong Yue , Hyungjoon Seo , Ka Lok Man , Jieming Ma , Xiaohui Zhu , Yutao Yue

This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian…

Numerical Analysis · Mathematics 2023-01-18 Mengwu Guo , Shane A. McQuarrie , Karen E. Willcox

Bayesian networks are a versatile and powerful tool to model complex phenomena and the interplay of their components in a probabilistically principled way. Moving beyond the comparatively simple case of completely observed, static data,…

Methodology · Statistics 2020-11-04 Marco Scutari

We introduce and study the problem of detecting whether an agent is updating their prior beliefs given new evidence in an optimal way that is Bayesian, or whether they are biased towards their own prior. In our model, biased agents form…

Computer Science and Game Theory · Computer Science 2024-10-31 Yiling Chen , Tao Lin , Ariel D. Procaccia , Aaditya Ramdas , Itai Shapira

Cooperation is often implicitly assumed when learning from other agents. Cooperation implies that the agent selecting the data, and the agent learning from the data, have the same goal, that the learner infer the intended hypothesis. Recent…

Machine Learning · Computer Science 2020-07-02 Junqi Wang , Pei Wang , Patrick Shafto

In decision support systems the motivation and justification of the system's diagnosis or classification is crucial for the acceptance of the system by the human user. In Bayesian networks a diagnosis or classification is typically…

Artificial Intelligence · Computer Science 2022-08-08 Johan Kwisthout

As the technology for building knowledge based systems has matured, important lessons have been learned about the relationship between the architecture of a system and the nature of the problems it is intended to solve. We are implementing…

Artificial Intelligence · Computer Science 2013-04-08 Lashon B. Booker , Naveen Hota , Connie Loggia Ramsey

Due to their great flexibility, nonparametric Bayes methods have proven to be a valuable tool for discovering complicated patterns in data. The term "nonparametric Bayes" suggests that these methods inherit model-free operating…

Methodology · Statistics 2013-04-15 Peter D. Hoff

In this work, we develop and compare two innovative strategies for parameter estimation and radar detection of multiple point-like targets. The first strategy, which appears here for the first time, jointly exploits the maximum likelihood…

Signal Processing · Electrical Eng. & Systems 2020-12-02 Pia Addabbo , Jun Liu , Danilo Orlando , Giuseppe Ricci

Perfect radar pulse compression coding is a potential emerging field which aims at providing rigorous analysis and fundamental limit radar experiments. It is based on finding non-trivial pulse codes, which we can make statistically…

Statistics Theory · Mathematics 2025-04-23 Neil K. Chada , Petteri Piiroinen , Lassi Roininen

This work proposes the use of Bayesian approximations of uncertainty from deep learning in a robot planner, showing that this produces more cautious actions in safety-critical scenarios. The case study investigated is motivated by a setup…

Machine Learning · Computer Science 2019-10-02 Maymoonah Toubeh , Pratap Tokekar

In a published paper [Sengupta, 2016], we have proposed that the brain (and other self-organized biological and artificial systems) can be characterized via the mathematical apparatus of a gauge theory. The picture that emerges from this…

Neurons and Cognition · Quantitative Biology 2017-11-15 Biswa Sengupta , Karl Friston

We present a Bayesian algorithm to combine optical imaging of unresolved objects from distinct epochs and observation platforms for orbit determination and tracking. By propagating the non-Gaussian uncertainties we are able to optimally…

Instrumentation and Methods for Astrophysics · Physics 2016-09-26 Michael D. Schneider , William A. Dawson

Bayesian inference provides a uniquely rigorous approach to obtain principled justification for uncertainty in predictions, yet it is difficult to articulate suitably general prior belief in the machine learning context, where computational…

Machine Learning · Statistics 2021-03-04 Jed A. Duersch , Thomas A. Catanach

Radio maps are emerging as a popular means to endow next-generation wireless communications with situational awareness. In particular, radio maps are expected to play a central role in unmanned aerial vehicle (UAV) communications since they…

Signal Processing · Electrical Eng. & Systems 2020-05-07 Daniel Romero , Raju Shrestha , Yves Teganya , Sundeep Prabhakar Chepuri

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

Bayesian Belief Networks have been largely overlooked by Expert Systems practitioners on the grounds that they do not correspond to the human inference mechanism. In this paper, we introduce an explanation mechanism designed to generate…

Artificial Intelligence · Computer Science 2013-04-08 Peter Sember , Ingrid Zukerman

Radar sensors play a crucial role for perception systems in automated driving but suffer from a high level of noise. In the past, this could be solved by strict filters, which remove most false positives at the expense of undetected…

Signal Processing · Electrical Eng. & Systems 2025-07-08 Tim Brühl , Jenny Glönkler , Robin Schwager , Tin Stribor Sohn , Tim Dieter Eberhardt , Sören Hohmann

Motivated by vision-based control of autonomous vehicles, we consider the problem of controlling a known linear dynamical system for which partial state information, such as vehicle position, is extracted from complex and nonlinear data,…

Optimization and Control · Mathematics 2019-12-24 Sarah Dean , Nikolai Matni , Benjamin Recht , Vickie Ye