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Matrix determinants play an important role in data analysis, in particular when Gaussian processes are involved. Due to currently exploding data volumes, linear operations - matrices - acting on the data are often not accessible directly…

Data Analysis, Statistics and Probability · Physics 2015-07-08 Sebastian Dorn , Torsten A. Enßlin

We study a matrix that arises from a singular form of the Woodbury matrix identity. We present generalized inverse and pseudo-determinant identities for this matrix, which have direct applications for Gaussian process regression,…

Statistics Theory · Mathematics 2023-04-26 Siavash Ameli , Shawn C. Shadden

A cumbersome operation in numerical analysis and linear algebra, optimization, machine learning and engineering algorithms; is inverting large full-rank matrices which appears in various processes and applications. This has both numerical…

Numerical Analysis · Mathematics 2022-06-24 Neophytos Charalambides , Mert Pilanci , Alfred O. Hero

Estimation of a precision matrix (i.e., inverse covariance matrix) is widely used to exploit conditional independence among continuous variables. The influence of abnormal observations is exacerbated in a high dimensional setting as the…

Methodology · Statistics 2021-05-17 Peng Tang , Huijing Jiang , Heeyoung Kim , Xinwei Deng

Variable stiffness actuator (VSA) designs are manifold. Conventional model-based control of these nonlinear systems is associated with high effort and design-dependent assumptions. In contrast, machine learning offers a promising…

Systems and Control · Electrical Eng. & Systems 2024-04-17 Tim-Lukas Habich , Sarah Kleinjohann , Moritz Schappler

This paper presents a new stiffness modulation mechanism that enables infinite-range stiffness modulation in a fast manner. The proposed stiffness modulation mechanism can help improve many robot environment interaction applications such as…

Robotics · Computer Science 2024-01-17 Sariyildiz Emre

This paper considers gain-scheduling of very strictly passive (VSP) subcontrollers using scheduling matrices. The use of scheduling matrices, over scalar scheduling signals, realizes greater design freedom, which in turn can improve…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Sepehr Moalemi , James Richard Forbes

Compliance control is an increasingly employed technique used in the robotic field. It is known that various mechanical properties can be reproduced depending on the design of the stiffness matrix, but the design theory that takes advantage…

Robotics · Computer Science 2022-11-01 Tsukasa Kusakabe , Sho Sakaino , Toshiaki Tsuji

We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional…

Numerical Analysis · Mathematics 2019-05-27 Mark Ainsworth , Christian Glusa

This paper deals with the development of a handling-oriented stiffness control strategy using multichamber suspensions. Indeed, being this technology capable of stiffness variability, it is particularly indicated for improving the vehicle…

Systems and Control · Electrical Eng. & Systems 2023-04-18 Gabriele Marini , Giulio Panzani , Matteo Corno , Samuele Sermisoni , Sergio Matteo Savaresi

Analytical solutions to nonlinear differential equations -- where they exist at all -- can often be very difficult to find. For example, Duffing's equation for a system with cubic stiffness requires the use of elliptic functions in the…

Dynamical Systems · Mathematics 2022-09-13 Tristan Gowdridge , Nikolaos Dervilis , Keith Worden

In this paper, we examine the shifted passivity property of port-Hamiltonian systems. Shifted passivity accounts for the fact that in many applications the desired steady-state values of the input and output variables are nonzero, and thus…

Systems and Control · Computer Science 2017-11-27 Nima Monshizadeh , Pooya Monshizadeh , Romeo Ortega , Arjan van der Schaft

We propose a mechanically simple and cheap design for a series elastic actuator with controllable stiffness. Such characteristics are necessary for animals for running, jumping, throwing, and manipulation, yet in robots, variable stiffness…

Robotics · Computer Science 2021-07-08 Sajiv Shah , Brad Saund

Stochastic contraction analysis is a recently developed tool for studying the global stability properties of nonlinear stochastic systems, based on a differential analysis of convergence in an appropriate metric. To date, stochastic…

Optimization and Control · Mathematics 2013-04-02 Quang-Cuong Pham , Jean-Jacques Slotine

This paper presents a kinematic definition of a serialized Stewart platform designed for autonomous in-space assembly called an Assembler. The Assemblers architecture describes problems inherent to the inverse kinematics of over-actuated…

Robotics · Computer Science 2020-03-30 William Chapin , Erik Komendera

In this paper, we consider the iterative solution of linear algebraic equations under the condition that matrix-vector products with the coefficient matrix are computed only partially. At the same time, non-computed entries are set to…

Numerical Analysis · Mathematics 2024-10-15 Vassilis Kalantzis , Yuanzhe Xi , Lior Horesh , Yousef Saad

Modular Active Cell Robots (MACROs) are a design paradigm for modular robotic hardware that uses only two components, namely actuators and passive compliant joints. Under the MACRO approach, a large number of actuators and joints are…

Robotics · Computer Science 2022-03-15 Gaurav Singh , Ahsan Nawroj , Aaron M Dollar

This paper proposes a simultaneous control method for the angle and stiffness of the joint in an antagonistic pneumatic artificial muscle (PAM) actuator system using only pressure measurements, and clarifies the allowable references for the…

Systems and Control · Electrical Eng. & Systems 2021-05-07 Takaya Shin , Kiminao Kogiso

The paper discusses the kinematics of manipulators builts of planar closed kinematic chains. A special kinematic scheme is extracted from the array of these mechanisms that looks the most promising for the creation of different types of…

Robotics · Computer Science 2007-07-13 Leonid Slutski , Damien Chablat , Jorge Angeles

It is common to manufacture an object by decomposing it into parts that can be assembled. This decomposition is often required by size limits of the machine, the complex structure of the shape, etc. To make it possible to easily assemble…

Computational Engineering, Finance, and Science · Computer Science 2023-10-31 Xingyuan Sun , Chenyue Cai , Ryan P. Adams , Szymon Rusinkiewicz