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The Kalman filter and Rauch-Tung-Striebel (RTS) smoother are optimal for state estimation in linear dynamic systems. With nonlinear systems, the challenge consists in how to propagate uncertainty through the state transitions and output…

Systems and Control · Electrical Eng. & Systems 2026-05-11 Simon Kuang , Xinfan Lin

This paper presents an invariant Rauch-Tung- Striebel (IRTS) smoother applicable to systems with states that are an element of a matrix Lie group. In particular, the extended Rauch-Tung-Striebel (RTS) smoother is adapted to work within a…

Robotics · Computer Science 2024-03-04 Niels van der Laan , Mitchell Cohen , Jonathan Arsenault , James Richard Forbes

Randomized algorithms are used in many state-of-the-art solvers for constraint satisfaction problems (CSP) and Boolean satisfiability (SAT) problems. For many of these problems, there is no single solver which will dominate others. Having…

Machine Learning · Computer Science 2021-06-25 Jake Tuero , Michael Buro

Outliers and impulsive disturbances often cause heavy-tailed distributions in practical applications, and these will degrade the performance of Gaussian approximation smoothing algorithms. To improve the robustness of the…

Signal Processing · Electrical Eng. & Systems 2023-02-03 Jiacheng He , Hongwei Wang , Gang Wang , Shan Zhong , Bei Peng

Time series modeling has entered an era of unprecedented growth in the size and complexity of data which require new modeling approaches. While many new general purpose machine learning approaches have emerged, they remain poorly understand…

Machine Learning · Statistics 2020-11-02 Matthew F Dixon

The Rauch-Tung-Striebel (RTS) and the Mayne-Fraser (MF) algorithms are two of the most popular smoothing schemes to reconstruct the state of a dynamic linear system from measurements collected on a fixed interval. Another (less popular)…

Numerical Analysis · Mathematics 2013-07-25 Aleksandr Y. Aravkin , Bradley B. Bell , James V. Burke , Gianluigi Pillonetto

The loss function is crucial to machine learning, especially in supervised learning frameworks. It is a fundamental component that controls the behavior and general efficacy of learning algorithms. However, despite their widespread use,…

Machine Learning · Computer Science 2026-02-09 Soumi Mahato , Lineesh M. C

Training a modern deep neural network on massive labeled samples is the main paradigm in solving the scene classification problem for remote sensing, but learning from only a few data points remains a challenge. Existing methods for…

Computer Vision and Pattern Recognition · Computer Science 2020-09-29 Haifeng Li , Zhenqi Cui , Zhiqing Zhu , Li Chen , Jiawei Zhu , Haozhe Huang , Chao Tao

Regression neural networks (NNs) are most commonly trained by minimizing the mean squared prediction error, which is highly sensitive to outliers and data contamination. Existing robust training methods for regression NNs are often limited…

Machine Learning · Statistics 2026-02-10 Abhik Ghosh , Suryasis Jana

State-space smoothing has found many applications in science and engineering. Under linear and Gaussian assumptions, smoothed estimates can be obtained using efficient recursions, for example Rauch-Tung-Striebel and Mayne-Fraser algorithms.…

Optimization and Control · Mathematics 2016-09-27 A. Y. Aravkin , J. V. Burke , L. Ljung , A. Lozano , G. Pillonetto

In this paper, we consider deep neural networks for solving inverse problems that are robust to forward model mis-specifications. Specifically, we treat sensing problems with model mismatch where one wishes to recover a sparse…

Machine Learning · Computer Science 2021-10-22 Wei Pu , Chao Zhou , Yonina C. Eldar , Miguel R. D. Rodrigues

Neural network ensembles, such as Bayesian neural networks (BNNs), have shown success in the areas of uncertainty estimation and robustness. However, a crucial challenge prohibits their use in practice. BNNs require a large number of…

Machine Learning · Computer Science 2022-07-15 Namuk Park , Songkuk Kim

In CS literature, the efforts can be divided into two groups: finding a measurement matrix that preserves the compressed information at the maximum level, and finding a reconstruction algorithm for the compressed information. In the…

Signal Processing · Electrical Eng. & Systems 2021-08-09 Mehmet Yamac , Ugur Akpinar , Erdem Sahin , Serkan Kiranyaz , Moncef Gabbouj

Randomized smoothing (RS) has successfully been used to improve the robustness of predictions for deep neural networks (DNNs) by adding random noise to create multiple variations of an input, followed by deciding the consensus. To…

Machine Learning · Computer Science 2024-04-29 Emmanouil Seferis , Stefanos Kollias , Chih-Hong Cheng

Slimmable Neural Networks (S-Net) is a novel network which enabled to select one of the predefined proportions of channels (sub-network) dynamically depending on the current computational resource availability. The accuracy of each…

Computer Vision and Pattern Recognition · Computer Science 2022-12-08 Hideaki Kuratsu , Atsuyoshi Nakamura

Remote state estimation in cyber-physical systems is often vulnerable to cyber-attacks due to wireless connections between sensors and computing units. In such scenarios, adversaries compromise the system by injecting false data or blocking…

Signal Processing · Electrical Eng. & Systems 2025-04-14 Kundan Kumar , Muhammad Iqbal , Simo Särkkä

During the last decade, Neural Networks (NNs) have proved to be extremely effective tools in many fields of engineering, including autonomous vehicles, medical diagnosis and search engines, and even in art creation. Indeed, NNs often…

Machine Learning · Computer Science 2022-07-26 Dmitry Kuznichov

State estimation of dynamical systems in real-time is a fundamental task in signal processing. For systems that are well-represented by a fully known linear Gaussian state space (SS) model, the celebrated Kalman filter (KF) is a low…

Signal Processing · Electrical Eng. & Systems 2022-04-13 Guy Revach , Nir Shlezinger , Xiaoyong Ni , Adria Lopez Escoriza , Ruud J. G. van Sloun , Yonina C. Eldar

Layer normalization (LayerNorm) has been successfully applied to various deep neural networks to help stabilize training and boost model convergence because of its capability in handling re-centering and re-scaling of both inputs and weight…

Machine Learning · Computer Science 2019-10-17 Biao Zhang , Rico Sennrich

A major factor in the success of deep neural networks is the use of sophisticated architectures rather than the classical multilayer perceptron (MLP). Residual networks (ResNets) stand out among these powerful modern architectures. Previous…

Machine Learning · Computer Science 2021-05-25 Tom Tirer , Joan Bruna , Raja Giryes
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