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This work is focused on the application of functional-type a posteriori error estimates and corresponding indicators to a class of time-dependent problems. We consider the algorithmic part of their derivation and implementation and also…

Numerical Analysis · Computer Science 2017-05-25 Bärbel Holm , Svetlana Matculevich

Backpropagation is the pivotal algorithm underpinning the success of artificial neural networks, yet it has critical limitations such as biologically implausible backward locking and global error propagation. To circumvent these…

Machine Learning · Computer Science 2025-09-11 James Gong , Raymond Luo , Emma Wang , Leon Ge , Bruce Li , Felix Marattukalam , Waleed Abdulla

Projection-based model order reduction of dynamical systems usually introduces an error between the high-fidelity model and its counterpart of lower dimension. This unknown error can be bounded by residual-based methods, which are typically…

Numerical Analysis · Mathematics 2023-03-31 Johannes Rettberg , Dominik Wittwar , Patrick Buchfink , Robin Herkert , Jörg Fehr , Bernard Haasdonk

Phased-array Bluetooth systems have emerged as a low-cost alternative for performing aided inertial navigation in GNSS-denied use cases such as warehouse logistics, drone landings, and autonomous docking. Basing a navigation system off of…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Glen Hjelmerud Mørkbak Sørensen , Torleiv H. Bryne , Kristoffer Gryte , Tor Arne Johansen

Autonomous platforms require accurate positioning to complete their tasks. To this end, a Kalman filter-based algorithms, such as the extended Kalman filter or invariant Kalman filter, utilizing inertial and external sensor fusion are…

Systems and Control · Electrical Eng. & Systems 2026-03-31 Barak Diker , Itzik Klein

In this paper, several modifications are introduced to the functional approximation method iterLap to reduce the approximation error, including stopping rule adjustment, proposal of new residual function, starting point selection for…

Methodology · Statistics 2015-09-23 Tiep Mai , Simon Wilson

Currently, the dominating constraint in many high performance computing applications is data capacity and bandwidth, in both inter-node communications and even more-so in on-node data motion. A new approach to address this limitation is to…

Numerical Analysis · Mathematics 2024-07-03 Alyson Fox , James Diffenderfer , Jeffrey Hittinger , Geoffrey Sanders , Peter Lindstrom

Many problems in machine learning and game theory can be formulated as saddle-point problems, for which various first-order methods have been developed and proven efficient in practice. Under the general convex-concave assumption, most…

Machine Learning · Computer Science 2020-06-16 Yuan Gao , Christian Kroer , Donald Goldfarb

Among algorithms used for sensor fusion for attitude estimation in unmanned aerial vehicles, the Extended Kalman Filter (EKF) is the most commonly used for estimation. In this paper, we propose a new version of H2 estimation called extended…

Optimization and Control · Mathematics 2020-09-08 Sunsoo Kim , Vaishnav Tadiparthi , Raktim Bhattacharya

The recognition of abstracts is crucial for effectively locating the content and clarifying the article. Existing move recognition algorithms lack the ability to learn word position information to obtain contextual semantics. This paper…

Computation and Language · Computer Science 2023-12-18 Hao Wen , Jie Wang , Xiaodong Qiao

Inertial localisation is an important technique as it enables ego-motion estimation in conditions where external observers are unavailable. However, low-cost inertial sensors are inherently corrupted by bias and noise, which lead to unbound…

Robotics · Computer Science 2023-03-06 James Brotchie , Wenchao Li , Andrew D. Greentree , Allison Kealy

Accurate positioning, navigation and timing (PNT) are crucial for upcoming lunar surface missions. Lunar satellite navigation systems are being developed, but lack coverage during early deployment phases. Hybrid lunar PNT combining…

Signal Processing · Electrical Eng. & Systems 2025-08-15 Robert Pöhlmann , Emanuel Staudinger , Gonzalo Seco-Granados

Recently, mobile robots have become important tools in various industries, especially in logistics. Deep reinforcement learning emerged as an alternative planning method to replace overly conservative approaches and promises more efficient…

Robotics · Computer Science 2021-09-27 Linh Kästner , Teham Buiyan , Xinlin Zhao , Lei Jiao , Zhengcheng Shen , Jens Lambrecht

Backpropagation has been the cornerstone of neural network training for decades, yet its inefficiencies in time and energy consumption limit its suitability for resource-constrained edge devices. While low-precision neural network…

Machine Learning · Computer Science 2025-07-01 Jingxiao Ma , Priyadarshini Panda , Sherief Reda

We present an iterative approach for planning and controlling motions of underactuated robots with uncertain dynamics. At its core, there is a learning process which estimates the perturbations induced by the model uncertainty on the active…

Iterative phase retrieval algorithms are widely used in digital optics for their efficiency and simplicity. Conventionally, these algorithms do not consider aberrations as they assume an ideal, aberration-free optical system. Here, we…

Optics · Physics 2025-02-10 Dylan Brault , Corinne Fournier , Tatiana Latychevskaia

We study two hybridization algorithms used for the combination of a quantum inertial sensor based on atom interferometry with a classical inertial sensor for onboard acceleration measurements. The first is based on the direct extraction of…

The Ensemble Score Filter (EnSF) has emerged as a promising approach to leverage score-based diffusion models for solving high-dimensional and nonlinear data assimilation problems. While initial applications of EnSF to the Lorenz-96 model…

Numerical Analysis · Mathematics 2025-10-24 Zezhong Zhang , Feng Bao , Guannan Zhang

Using actual flight data from a 50-cm-class microsatellite whose mission and operations have already been completed, this study re-evaluates satellite attitude determination performance and the error characteristics of onboard attitude…

Systems and Control · Electrical Eng. & Systems 2026-01-28 Yuji Sakamoto

We present two new adaptive quadrature routines. Both routines differ from previously published algorithms in many aspects, most significantly in how they represent the integrand, how they treat non-numerical values of the integrand, how…

Numerical Analysis · Computer Science 2010-11-09 Pedro Gonnet
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