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A recursive free cash flow model (FCFF) is proposed to determine the corporate value of a company in an efficient market in which new market and company-specific information is modelled by additive white noise. The stochastic equations of…

Computational Finance · Quantitative Finance 2020-05-21 Rene Scheurwater

The Bootstrap Particle Filter (BPF) and the Ensemble Kalman Filter (EnKF) are two widely used methods for sequential Bayesian filtering: the BPF is asymptotically exact but can suffer from weight degeneracy, while the EnKF scales well in…

Methodology · Statistics 2026-01-28 Ilja Klebanov , Claudia Schillings , Dana Wrischnig

Building upon the theory of Kalman Filtering on Lie Groups, this paper describes an Extended Kalman Filter and Smoother for Loosely Coupled Integration of GNSS/INS tailored for post-processing applications. The approach employs a dynamic…

Robotics · Computer Science 2022-10-07 Marcos R. Fernandes , Giorgio M. Magalhães , Yusef Cáceres , João B. R. do Val

The paper proposes a new recursive filter for non-linear systems that inherently computes a valid bound on the mean square estimation error. The proposed filter, bound based extended Kalman, (BEKF) is in the form of an extended Kalman…

Optimization and Control · Mathematics 2014-10-02 Gyorgy Hexner , Haim Weiss

This paper proposes a equivariant filtering (EqF) framework for the inertial-integrated state estimation problem. As the kinematic system of the inertial-integrated navigation can be naturally modeling on the matrix Lie group $SE_2(3)$, the…

Robotics · Computer Science 2021-04-20 Yarong Luo , Chi Guo , Jingnan Liu

To enhance accuracy of robot state estimation, active sensing (or perception-aware) methods seek trajectories that maximize the information gathered by the sensors. To this aim, one possibility is to seek trajectories that minimize the…

Robotics · Computer Science 2024-03-11 Jonas Benhamou , Silvère Bonnabel , Camille Chapdelaine

We propose a Neural-Enhanced Distributed Kalman Filter (NDKF) for multi-sensor state estimation in nonlinear systems. Unlike traditional Kalman filters that rely on explicit analytical models and assume centralized fusion, NDKF leverages…

Systems and Control · Electrical Eng. & Systems 2026-03-17 Siavash Farzan , Bennett Parisi

In this letter, we propose an Attention-Based Neural-Augmented Kalman Filter (AttenNKF) for state estimation in legged robots. Foot slip is a major source of estimation error: when slip occurs, kinematic measurements violate the no-slip…

Robotics · Computer Science 2026-05-05 Seokju Lee , Kyung-Soo Kim

The Ensemble Kalman Filter (EnKF) is a widely used method for data assimilation in high-dimensional systems, with an ensemble update step equivalent to an empirical version of the Matheron update popular in Gaussian process regression -- a…

Machine Learning · Computer Science 2025-09-19 Dan MacKinlay

The inverse problem of determining parameters in a model by comparing some output of the model with observations is addressed. This is a description for what hat to be done to use the Gauss-Markov-Kalman filter for the Bayesian estimation…

Numerical Analysis · Mathematics 2016-11-29 Hermann G. Matthies , Alexander Litvinenko , Bojana V. Rosic , Elmar Zander

We study adaptive (or online) nonlinear regression with Long-Short-Term-Memory (LSTM) based networks, i.e., LSTM-based adaptive learning. In this context, we introduce an efficient Extended Kalman filter (EKF) based second-order training…

Machine Learning · Computer Science 2021-06-01 N. Mert Vural , Salih Ergüt , Suleyman S. Kozat

This paper introduces a new perspective on multi-class ensemble classification that considers training an ensemble as a state estimation problem. The new perspective considers the final ensemble classifier model as a static state, which can…

Machine Learning · Computer Science 2019-02-25 Arjun Pakrashi , Brian Mac Namee

This paper introduces a framework for state estimation on a humanoid robot platform using only common proprioceptive sensors and knowledge of leg kinematics. The presented approach extends that detailed in [1] on a quadruped platform by…

Robotics · Computer Science 2014-12-11 Nicholas Rotella , Michael Bloesch , Ludovic Righetti , Stefan Schaal

Estimation of rigid body attitude motion is a long-standing problem of interest in several applications. This problem is challenging primarily because rigid body motion is described by nonlinear dynamics and the state space is nonlinear.…

Optimization and Control · Mathematics 2016-03-16 Maziar Izadi , Sasi Prabhakaran Viswanathan , Amit Kumar Sanyal , Carlos Silvestre , Paulo Oliveira

The knowledge of the states of a vehicle is a necessity to perform proper planning and control. These quantities are usually accessible through measurements. Control theory brings extremely useful methods -- observers -- to deal with…

Robotics · Computer Science 2023-04-03 Agapius Bou Ghosn , Philip Polack , Arnaud de La Fortelle

The Kalman filter (KF) is a widely-used algorithm for tracking the latent state of a dynamical system from noisy observations. For systems that are well-described by linear Gaussian state space models, the KF minimizes the mean-squared…

Signal Processing · Electrical Eng. & Systems 2022-10-13 Shunit Truzman , Guy Revach , Nir Shlezinger , Itzik Klein

Power system dynamic state estimation is essential to monitoring and controlling power system stability. Kalman filtering approaches are predominant in estimation of synchronous machine dynamic states (i.e. rotor angle and rotor speed).…

Systems and Control · Computer Science 2017-02-03 Shahrokh Akhlaghi , Ning Zhou

Nonlinear extensions of the Kalman filter (KF), such as the extended Kalman filter (EKF) and the unscented Kalman filter (UKF), are indispensable for state estimation in complex dynamical systems, yet the conditions for a nonlinear KF to…

Systems and Control · Electrical Eng. & Systems 2026-03-25 Shida Jiang , Jaewoong Lee , Shengyu Tao , Scott Moura

An Ensemble Kalman Filter (EnKF, the predictor) is used make a large change in the state, followed by a Particle Filer (PF, the corrector) which assigns importance weights to describe non-Gaussian distribution. The weights are obtained by…

Computation · Statistics 2009-07-20 Jan Mandel , Jonathan D. Beezley

The fusion of camera sensor and inertial data is a leading method for ego-motion tracking in autonomous and smart devices. State estimation techniques that rely on non-linear filtering are a strong paradigm for solving the associated…

Robotics · Computer Science 2022-05-30 Arno Solin , Rui Li , Andrea Pilzer
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