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This work builds a unified framework for the study of quadratic form distance measures as they are used in assessing the goodness of fit of models. Many important procedures have this structure, but the theory for these methods is dispersed…

Statistics Theory · Mathematics 2008-12-18 Bruce G. Lindsay , Marianthi Markatou , Surajit Ray , Ke Yang , Shu-Chuan Chen

The subject of this paper is the design of a new concept of modular parallel mechanisms for three, four or five-axis machining applications. Most parallel mechanisms are designed for three- or six-axis machining applications. In the last…

Robotics · Computer Science 2007-05-23 Damien Chablat , Philippe Wenger

We propose a complexity measure which addresses the functional flexibility of networks. It is conjectured that the functional flexibility is reflected in the topological diversity of the assigned graphs, resulting from a resolution of their…

Condensed Matter · Physics 2009-11-10 Hildegard Meyer-Ortmanns

The objective of this note is to share some reflections of the authors regarding the use of sliding mode designs in control systems. We believe the abundant, and ever increasing, appearance of this kind of works on our scientific…

Systems and Control · Electrical Eng. & Systems 2025-10-10 Romeo Ortega , Leyan Fang , Jose Guadalupe Romero

An automata network is a network of entities, each holding a state from a finite set and evolving according to a local update rule which depends only on its neighbors in the network's graph. It is freezing if there is an order on states…

Discrete Mathematics · Computer Science 2021-02-03 Eric Goles , Pedro Montealegre , Martín Ríos-Wilson , Guillaume Theyssier

This work presents the estimation of the parameters of an experimental setup, which is modeled as a system with three degrees of freedom, composed by a shaft, two rotors, and a DC motor, that emulates a drilling process. A Bayesian…

Methodology · Statistics 2021-07-29 Mario Germán Sandoval , Americo Cunha , Rubens Sampaio

We describe our work on inferring the degrees of freedom between mated parts in mechanical assemblies using deep learning on CAD representations. We train our model using a large dataset of real-world mechanical assemblies consisting of CAD…

Computer Vision and Pattern Recognition · Computer Science 2023-05-08 James Noeckel , Benjamin T. Jones , Karl Willis , Brian Curless , Adriana Schulz

Automata networks can be seen as bare finite dynamical systems, but their growing theory has shown the importance of the underlying communication graph of such networks. This paper tackles the question of what dynamics can be realized up to…

Computational Complexity · Computer Science 2025-11-17 Julio Aracena , Florian Bridoux , Maximilien Gadouleau , Pierre Guillon , Kévin Perrot , Adrien Richard , Guillaume Theyssier

The key elements of the Unified Model are reviewed and checked against modern experimental data. For medium-mass or heavy nuclei it is found that separation between collective and intrinsic degrees freedom becomes invalid for after exciting…

Nuclear Theory · Physics 2018-04-04 Stefan Frauendorf

We consider finite two-way automata and measure the use of two-way motion by counting the number of left moves in accepting computations. Restriction of the automata according to this measure allows us to study in detail the use of two-way…

Formal Languages and Automata Theory · Computer Science 2014-09-23 David Damanik

In this paper algebraic and combinatorial properties and a computation of the number of the spanning trees are developed for certain graphs. To this purpose, an original method, independent of the spectrum of the Laplacian matrix associated…

Combinatorics · Mathematics 2024-04-01 Maurizio Imbesi , Monica La Barbiera , Santo Saraceno

Many popular piecewise regression models rely on minimizing a cost function on the model fit with a linear penalty on the number of segments. However, this penalty does not take into account varying complexities of the model functions on…

Methodology · Statistics 2025-03-06 Stefan Volz , Martin Storath , Andreas Weinmann

Ever since the Barab\'{a}si-Albert (BA) scale-free network has been proposed, network modeling has been studied intensively in light of the network growth and the preferential attachment (PA). However, numerous real systems are featured…

Social and Information Networks · Computer Science 2025-11-25 Yuhan Li , Minyu Feng , Jürgen Kurths

Kinematics of mechanisms is intricately coupled to their geometry and their utility often arises out of the ability to perform reproducible motion with fewer actuating degrees of freedom. In this article, we explore the assembly of…

Robotics · Computer Science 2026-02-17 Mohanraj A , S Ganga Prasath

We provide an analytical characterization of the model flexibility of the synthetic control method (SCM) in the familiar form of degrees of freedom. We obtain estimable information criteria, which may be used to circumvent cross-validation…

Econometrics · Economics 2026-03-12 Guillaume Allaire Pouliot , Zhen Xie , Ziyi Liu

We derive the degrees of freedom of the lasso fit, placing no assumptions on the predictor matrix $X$. Like the well-known result of Zou, Hastie and Tibshirani [Ann. Statist. 35 (2007) 2173-2192], which gives the degrees of freedom of the…

Statistics Theory · Mathematics 2012-07-25 Ryan J. Tibshirani , Jonathan Taylor

This chapter is about the fundamentals of fabrication, control, and human-robot interaction of a new type of collaborative robotic manipulators, called malleable robots, which are based on adjustable architectures of varying stiffness for…

Robotics · Computer Science 2025-02-07 Angus B. Clark , Xinran Wang , Alex Ranne , Nicolas Rojas

Functional autonomous systems often realize complex tasks by utilizing state machines comprised of discrete primitive behaviors and transitions between these behaviors. This architecture has been widely studied in the context of…

Robotics · Computer Science 2023-09-18 Wyatt Ubellacker , Noel Csomay-Shanklin , Tamas G. Molnar , Aaron D. Ames

The aim of this paper is to characterize the moveability of fully-parallel manipulators in the presence of obstacles. Fully parallel manipulators are used in applications where accuracy, stiffness or high speeds and accelerations are…

Robotics · Computer Science 2007-07-16 Damien Chablat , Philippe Wenger

A general random graph evolution mechanism is defined. The evolution is a combination of the preferential attachment model and the interaction of N vertices (N>=3). A vertex in the graph is characterized by its degree and its weight. The…

Probability · Mathematics 2013-09-18 István Fazekas , Bettina Porvázsnyik