Uniqueness of Minima of a Certain Least Squares Problem

TL;DR

This paper investigates the nature of minima in a specific least squares problem to better understand optimization solutions for human limb tracking with IMU sensors.

Contribution

It provides an analysis of the minima's uniqueness in a least squares problem relevant to human limb tracking.

Findings

Analysis of minima using second derivative test

Insights into the optimization landscape for limb tracking

Potential implications for improving IMU-based tracking algorithms

Abstract

This paper is essentially an exercise in studying the minima of a certain least squares optimization using the second partial derivative test. The motivation is to gain insight into an optimization-based solution to the problem of tracking human limbs using IMU sensors.