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State filtering is a key problem in many signal processing applications. From a series of noisy measurement, one would like to estimate the state of some dynamic system. Existing techniques usually adopt a Gaussian noise assumption which…

Methodology · Statistics 2016-12-16 Bin Liu

Out-of-distribution (OOD) detection is a crucial part of deploying machine learning models safely. It has been extensively studied with a plethora of methods developed in the literature. This problem is tackled with an OOD score…

Computer Vision and Pattern Recognition · Computer Science 2024-01-19 Jingqiu Zhou , Aojun Zhou , Hongsheng Li

Safety measures need to be systemically investigated to what extent they evaluate the intended performance of Deep Neural Networks (DNNs) for critical applications. Due to a lack of verification methods for high-dimensional DNNs, a…

Machine Learning · Computer Science 2024-01-31 Jens Henriksson , Christian Berger , Stig Ursing , Markus Borg

In this paper, we consider discrete-time non-linear stochastic dynamical systems with additive process noise in which both the initial state and noise distributions are uncertain. Our goal is to quantify how the uncertainty in these…

Systems and Control · Electrical Eng. & Systems 2025-05-19 Steven Adams , Eduardo Figueiredo , Luca Laurenti

Detecting out-of-distribution (OOD) inputs is critical for safely deploying deep learning models in the real world. Existing approaches for detecting OOD examples work well when evaluated on benign in-distribution and OOD samples. However,…

Machine Learning · Computer Science 2021-12-10 Jiefeng Chen , Yixuan Li , Xi Wu , Yingyu Liang , Somesh Jha

Deep learning has been demonstrated with tremendous success in recent years. Despite so, its performance in practice often degenerates drastically when encountering out-of-distribution (OoD) data, i.e. training and test data are sampled…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Haoyue Bai

Addressing the Out-of-Distribution (OoD) segmentation task is a prerequisite for perception systems operating in an open-world environment. Large foundational models are frequently used in downstream tasks, however, their potential for OoD…

Computer Vision and Pattern Recognition · Computer Science 2024-09-11 Nazir Nayal , Youssef Shoeb , Fatma Güney

This paper proposes the DnD Filter, a differentiable filter that utilizes diffusion models for state estimation of dynamic systems. Unlike conventional differentiable filters, which often impose restrictive assumptions on process noise…

Robotics · Computer Science 2026-01-13 Ziyu Wan , Lin Zhao

In monocular depth estimation, uncertainty estimation approaches mainly target the data uncertainty introduced by image noise. In contrast to prior work, we address the uncertainty due to lack of knowledge, which is relevant for the…

Computer Vision and Pattern Recognition · Computer Science 2023-08-14 Julia Hornauer , Adrian Holzbock , Vasileios Belagiannis

This paper presents a new robust fault and state estimation based on recursive least square filter for linear stochastic systems with unknown disturbances. The novel elements of the algorithm are : a simple, easily implementable, square…

Systems and Control · Computer Science 2013-06-20 Bessaoudi Talel , Ben Hmida Fayçal

The increasing availability of sensing techniques provides a great opportunity for engineers to design state estimation methods, which are optimal for the system under observation and the observed noise patterns. However, these patterns…

Systems and Control · Electrical Eng. & Systems 2023-06-19 Jean-Sébastien Brouillon , Florian Dörfler , Giancarlo Ferrari-Trecate

Out-of-distribution (OOD) data poses serious challenges in deployed machine learning models as even subtle changes could incur significant performance drops. Being able to estimate a model's performance on test data is important in practice…

Machine Learning · Computer Science 2023-02-13 Yuzhe Lu , Zhenlin Wang , Runtian Zhai , Soheil Kolouri , Joseph Campbell , Katia Sycara

We present an efficient algorithm to compute tight upper bounds of collision probability between two objects with positional uncertainties, whose error distributions are represented with non-Gaussian forms. Our approach can handle noisy…

Robotics · Computer Science 2019-12-17 Jae Sung Park , Dinesh Manocha

Uncertainty quantification for deep learning is a challenging open problem. Bayesian statistics offer a mathematically grounded framework to reason about uncertainties; however, approximate posteriors for modern neural networks still…

Machine Learning · Statistics 2020-01-23 Nicolas Brosse , Carlos Riquelme , Alice Martin , Sylvain Gelly , Éric Moulines

Aggregating data from multiple sources can be formalized as an Optimal Transport (OT) barycenter problem, which seeks to compute the average of probability distributions with respect to OT discrepancies. However, in real-world scenarios,…

Machine Learning · Statistics 2025-04-15 Milena Gazdieva , Jaemoo Choi , Alexander Kolesov , Jaewoong Choi , Petr Mokrov , Alexander Korotin

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

Out-of-distribution (OOD) detection and uncertainty estimation (UE) are critical components for building safe machine learning systems, especially in real-world scenarios where unexpected inputs are inevitable. However the two problems…

Machine Learning · Computer Science 2025-12-01 Pirzada Suhail , Rehna Afroz , Gouranga Bala , Amit Sethi

This paper presents a novel Wasserstein distributionally robust control and state estimation algorithm for partially observable linear stochastic systems, where the probability distributions of disturbances and measurement noises are…

Systems and Control · Electrical Eng. & Systems 2024-06-05 Minhyuk Jang , Astghik Hakobyan , Insoon Yang

Trajectory prediction is central to the safe and seamless operation of autonomous vehicles (AVs). In deployment, however, prediction models inevitably face distribution shifts between training data and real-world conditions, where rare or…

Computer Vision and Pattern Recognition · Computer Science 2026-03-16 Tongfei Guo , Lili Su

In the dynamic realms of machine learning and deep learning, the robustness and reliability of models are paramount, especially in critical real-world applications. A fundamental challenge in this sphere is managing Out-of-Distribution…

Machine Learning · Computer Science 2024-03-07 Yingrui Ji , Yao Zhu , Zhigang Li , Jiansheng Chen , Yunlong Kong , Jingbo Chen
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