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In recent years, much of the research on clustering algorithms has primarily focused on enhancing their accuracy and efficiency, frequently at the expense of interpretability. However, as these methods are increasingly being applied in…

Machine Learning · Computer Science 2026-01-21 Lianyu Hu , Mudi Jiang , Junjie Dong , Xinying Liu , Zengyou He

In this paper, the intuitive idea of tilt is formalised into the rigorous concept of tilt rotations. This is motivated by the high relevance that pure tilt rotations have in the analysis of balancing bodies in 3D, and their applicability to…

Robotics · Computer Science 2018-10-15 Philipp Allgeuer , Sven Behnke

The focus of this paper is modeling what we call a Social Radar, i.e. a method to estimate the relative influence between social agents, by sampling their opinions and as they evolve, after injecting in the network stubborn agents. The…

Social and Information Networks · Computer Science 2016-11-17 Hoi-To Wai , Anna Scaglione , Amir Leshem

Tile B-splines in $\mathbb{R}^d$ are defined as autoconvolutions of the indicators of tiles, which are special self-similar compact sets whose integer translates tile the space $\mathbb{R}^d$. These functions are not piecewise-polynomial,…

Functional Analysis · Mathematics 2022-12-27 Tatyana Zaitseva

The process of self-morphing in curved surfaces found in nature, such as with the growth of flowers and leaves, has generated interest in the study of self-morphing bilayers, which has been used in many soft robots or switchers. However,…

Numerical Analysis · Mathematics 2023-09-19 Junjie Song , Yixiong Feng , Zhaoxi Hong , Bingtao Hu , Jianrong Tan , Xiuju Song

Hermann discovered the grid illusion in 1870, but its cause has remained a mystery for more than 150 years. In 1960, Baumgartner proposed a hypothesis for the illusion based on neural receptive fields, but Geier presented a counterexample…

Neurons and Cognition · Quantitative Biology 2025-10-23 Yutaka Nishiyama

The Talbot effect describes the emergence of periodic patterns in perturbed propagating wave fields. The effect is well studied for perturbations from structurally coherent optics such as diffraction gratings. The emergence of freeform and…

Optics · Physics 2026-05-25 Robin Krüger , Jeevan Rois , Martin Bech , Matias Kagias

A recent study of the replicability of key psychological findings is a major contribution toward understanding the human side of the scientific process. Despite the careful and nuanced analysis reported in the paper, mass and social media…

Applications · Statistics 2015-10-01 Jeffrey T. Leek , Prasad Patil , Roger D. Peng

Statically indeterminate systems are experimentally demonstrated to be in fact dynamical at the microscopic scale. Take the classic ladder-wall problem, for instance. Depending on the Young's modulus of the wall, it may take up to twenty…

Soft Condensed Matter · Physics 2022-11-09 Jr-Jiun Lin , Chi-Chun Cheng , Yu-Chuan Cheng , Jih-Chiang Tsai , Tzay-Ming Hong

Suicide is an important but often misunderstood problem, one that researchers are now seeking to better understand through social media. Due in large part to the fuzzy nature of what constitutes suicidal risks, most supervised approaches…

Machine Learning · Computer Science 2017-02-01 Tong Liu , Qijin Cheng , Christopher M. Homan , Vincent M. B. Silenzio

A semi-classical description of the intrinsic spin-Hall effect (SHE) is presented which is relevant for a wide class of systems. A heuristic model for the SHE is developed, starting with a fully quantum mechanical treatment, from which we…

Mesoscale and Nanoscale Physics · Physics 2010-05-28 T. Fujita , M. B. A. Jalil , S. G. Tan

Interpretable classification models are built with the purpose of providing a comprehensible description of the decision logic to an external oversight agent. When considered in isolation, a decision tree, a set of classification rules, or…

Machine Learning · Computer Science 2019-03-18 Riccardo Guidotti , Salvatore Ruggieri

Mitchell Feigenbaum discovered an intriguing property of viewing images through cylindrical mirrors or looking into water. Because the eye is a lens with an opening of about 5mm, many different rays of reflected images reach the eye, and…

Classical Physics · Physics 2021-10-04 Jean-Pierre Eckmann

Extensive recent media focus has been directed towards the dark side of intelligent systems, how algorithms can influence society negatively. Often, transparency is proposed as a solution or step in the right direction. Unfortunately,…

Human-Computer Interaction · Computer Science 2018-12-11 Aaron Springer , Steve Whittaker

A scheme to calculate the electronic structure of systems having a spiral magnetic structure is presented. The approach is based on the KKR (Korringa-Kohn-Rostoker) Green's function formalism which allows in combination with CPA (Coherent…

Strongly Correlated Electrons · Physics 2013-08-08 S. Mankovsky , G. H. Fecher , H. Ebert

A new model is formulated of the sociological effect of the spiral of silence, introduced by Elisabeth Noelle-Neumann in 1974. The probability that a new opinion is openly expressed decreases with the difference between this new opinion and…

Physics and Society · Physics 2023-07-19 P. Gawronski , M. Nawojczyk , K. Kulakowski

This paper is intended to be a further step through our Killing spinor programme started with Class. Quantum Grav. \textbf{32}, 175007 (2015), and we will advance our programme in accordance with the road map recently given in…

Mathematical Physics · Physics 2017-01-20 Özgür Açık

We develop the basic and new tools for classifying non-side-to-side tilings of the sphere by congruent triangles. Then we prove that, if the triangle has any irrational angle in degree, such tilings are: a sequence of 1-parameter families…

Combinatorics · Mathematics 2025-05-23 Wen Chen , Jinjin Liang , Erxiao Wang

The purpose of this paper is to suggest additional aspects of social psychology that could help when making sense of autonomous agile teams. To make use of well-tested theories in social psychology and instead see how they replicated and…

Software Engineering · Computer Science 2020-11-09 Lucas Gren

This paper studies the structural controllability of a class of uncertain switched linear systems, where the parameters of subsystems state matrices are either unknown or zero. The structural controllability is a generalization of the…

Systems and Control · Computer Science 2013-08-27 Xiaomeng Liu , Hai Lin , Ben M. Chen