activity
20102026
most citedGaussianity and the Kalman Filter: A Simple Yet Complicated Relationship

23 citations · 92 across the 29 of their papers we have counts for

collaborators

30 papers

math.NA2026

A Generalized Matrix Inverse that is Consistent with Respect to Diagonal Transformations

Jeffrey Uhlmann

A new generalized matrix inverse is derived which is consistent with respect to arbitrary nonsingular diagonal transformations, e.g., it preserves units associated with variables u…

math.OC2024★ 23 cited

Gaussianity and the Kalman Filter: A Simple Yet Complicated Relationship

Jeffrey Uhlmann, Simon Julier

One of the most common misconceptions made about the Kalman filter when applied to linear systems is that it requires an assumption that all error and noise processes are Gaussian.…

cs.RO2023★ 1 cited

Achieving Unit-Consistent Pseudo-Inverse-based Path-Planning for Redundant Incommensurate Robotic Manipulators

Jacket Demby's, Jeffrey Uhlmann, Guilherme N. DeSouza

In this paper, we review and compare several velocity-level and acceleration-level Pseudo-Inverse-based Path Planning (PPP) and Pseudo-Inverse-based Repetitive Motion Planning (PRM…

cs.RO2023★ 1 cited

Choosing the Correct Generalized Inverse for the Numerical Solution of the Inverse Kinematics of Incommensurate Robotic Manipulators

Jacket Demby's, Jeffrey Uhlmann, Guilherme N. DeSouza

Numerical methods for Inverse Kinematics (IK) employ iterative, linear approximations of the IK until the end-effector is brought from its initial pose to the desired final pose. T…

cs.IR2023★ 2 cited

An Admissible Shift-Consistent Method for Recommender Systems

Tung Nguyen, Jeffrey Uhlmann

In this paper, we propose a new constraint, called shift-consistency, for solving matrix/tensor completion problems in the context of recommender systems. Our method provably guara…

cs.IR2023★ 4 cited

Imposing Consistency Properties on Blackbox Systems with Applications to SVD-Based Recommender Systems

Tung Nguyen, Jeffrey Uhlmann

In this paper we discuss pre- and post-processing methods to induce desired consistency and/or invariance properties in blackbox systems, e.g., AI-based. We demonstrate our approac…