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The design and performance of a wide bandwidth linear polarization modulator based on the Faraday effect is described. Faraday Rotation Modulators (FRMs) are solid-state polarization switches that are capable of modulation up to ~10 kHz.…

The complexity of visual stimuli plays an important role in many cognitive phenomena, including attention, engagement, memorability, time perception and aesthetic evaluation. Despite its importance, complexity is poorly understood and…

Computer Vision and Pattern Recognition · Computer Science 2024-05-07 Tingke Shen , Surabhi S Nath , Aenne Brielmann , Peter Dayan

Post-hoc model-agnostic interpretation methods such as partial dependence plots can be employed to interpret complex machine learning models. While these interpretation methods can be applied regardless of model complexity, they can produce…

Machine Learning · Statistics 2022-01-24 Christoph Molnar , Giuseppe Casalicchio , Bernd Bischl

With the perpetual increase of complexity of the state-of-the-art deep neural networks, it becomes a more and more challenging task to maintain their interpretability. Our work aims to evaluate the effects of adversarial training utilized…

Computer Vision and Pattern Recognition · Computer Science 2023-11-21 Delyan Boychev

We extend the rotation measure work of Burn (1966) to the cases of limited sampling of lambda squared space and non-constant emission spectra. We introduce the rotation measure transfer function (RMTF), which is an excellent predictor of…

Astrophysics · Physics 2009-11-13 M. A. Brentjens , A. G. de Bruyn

Complexity measures are essential to understand complex systems and there are numerous definitions to analyze one-dimensional data. However, extensions of these approaches to two or higher-dimensional data, such as images, are much less…

Data Analysis, Statistics and Probability · Physics 2012-12-27 H. V. Ribeiro , L. Zunino , E. K. Lenzi , P. A. Santoro , R. S. Mendes

Virtually all questions that one can ask about the behavioral and structural complexity of a stochastic process reduce to a linear algebraic framing of a time evolution governed by an appropriate hidden-Markov process generator. Each type…

Chaotic Dynamics · Physics 2018-04-18 Paul M. Riechers , James P. Crutchfield

Radio broadband spectro-polarimetric observations are sensitive to the spatial fluctuations of the Faraday depth (FD) within the telescope beam. Such FD fluctuations are referred to as "Faraday complexity", and can unveil small-scale…

Deep Neural Networks use thousands of mostly incomprehensible features to identify a single class, a decision no human can follow. We propose an interpretable sparse and low dimensional final decision layer in a deep neural network with…

Computer Vision and Pattern Recognition · Computer Science 2023-08-08 Thomas Norrenbrock , Marco Rudolph , Bodo Rosenhahn

Fair clustering has gained increasing attention in recent years, especially in applications involving socially sensitive attributes. However, existing fair clustering methods often lack interpretability, limiting their applicability in…

Machine Learning · Computer Science 2025-11-27 Mudi Jiang , Jiahui Zhou , Xinying Liu , Zengyou He , Zhikui Chen

Nonlinear causal discovery from observational data imposes strict identifiability assumptions on the formulation of structural equations utilized in the data generating process. The evaluation of structure learning methods under assumption…

Machine Learning · Statistics 2024-12-17 Georg Velev , Stefan Lessmann

Complexity is a multi-faceted phenomenon, involving a variety of features including disorder, nonlinearity, and self-organisation. We use a recently developed rigorous framework for complexity to understand measures of complexity. We…

Adaptation and Self-Organizing Systems · Physics 2020-09-22 Karoline Wiesner , James Ladyman

Interpretable classifiers have recently witnessed an increase in attention from the data mining community because they are inherently easier to understand and explain than their more complex counterparts. Examples of interpretable…

Machine Learning · Computer Science 2019-11-01 Hugo M. Proença , Matthijs van Leeuwen

Data complexity analysis quantifies the hardness of constructing a predictive model on a given dataset. However, the effectiveness of existing data complexity measures can be challenged by the existence of irrelevant features and feature…

Computational Engineering, Finance, and Science · Computer Science 2023-08-15 Zhendong Sha , Li Zhu , Zijun Jiang , Yuanzhu Chen , Ting Hu

Stacking polarized radio emission in SKA surveys provides statistical information on large samples that is not accessible otherwise due to limitations in sensitivity, source statistics in small fields, and averaging over frequency…

Instrumentation and Methods for Astrophysics · Physics 2015-01-05 J. M. Stil , B. W. Keller

The ability of new instruments for providing accurate inferences of vector magnetic fields and line-of-sight velocities of the solar plasma depends a great deal on the sensitivity to these physical quantities of the spectral lines chosen to…

Solar and Stellar Astrophysics · Physics 2010-02-16 J. C. del Toro Iniesta , D. Orozco Suárez , L. R. Bellot Rubio

Models can be simple for different reasons: because they yield a simple and computationally efficient interpretation of a generic dataset (e.g. in terms of pairwise dependences) - as in statistical learning - or because they capture the…

Disordered Systems and Neural Networks · Physics 2018-10-17 Alberto Beretta , Claudia Battistin , Clélia de Mulatier , Iacopo Mastromatteo , Matteo Marsili

In estimating the complexity of objects, in particular of graphs, it is common practice to rely on graph- and information-theoretic measures. Here, using integer sequences with properties such as Borel normality, we explain how these…

Information Theory · Computer Science 2017-07-12 Hector Zenil , Narsis Kiani , Jesper Tegnér

Circular-harmonic spectra are a compact representation of local image features in two dimensions. It is well known that the computational complexity of such transforms is greatly reduced when polar separability is exploited in steerable…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Hugh L Kennedy

SHAP is a popular method for measuring variable importance in machine learning models. In this paper, we study the algorithm used to estimate SHAP scores and outline its connection to the functional ANOVA decomposition. We use this…

Methodology · Statistics 2022-11-14 Andrew Herren , P. Richard Hahn
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