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The initial remarks in this technical report are primarily for those not familiar with the properties of L1 approximation, but the remainder of the report should also interest readers who are already acquainted with the inner workings of L1…

Machine Learning · Computer Science 2020-01-06 Ian Barrodale

A series of simulations aimed at elucidating the self-assembly dynamics of spherical virus capsids is described. This little-understood phenomenon is a fascinating example of the complex processes that occur in the simplest of organisms.…

Soft Condensed Matter · Physics 2015-05-19 D. C. Rapaport

We present a novel framework for deriving integral constraints for correlators on conformal line defects. These constraints emerge from the non-linearly realized ambient-space conformal symmetry. To validate our approach, we examine several…

High Energy Physics - Theory · Physics 2025-08-08 Barak Gabai , Amit Sever , De-liang Zhong

This paper presents an analysis of the orientation selectivity properties of idealized models of complex cells in terms of affine quasi quadrature measures, which combine the responses of idealized models of simple cells in terms of affine…

Neurons and Cognition · Quantitative Biology 2025-08-26 Tony Lindeberg

Rejoinder of "Frequentist coverage of adaptive nonparametric Bayesian credible sets" by Szab\'o, van der Vaart and van Zanten [arXiv:1310.4489v5].

Statistics Theory · Mathematics 2016-08-07 Botond Szabó , A. W. van der Vaart , J. H. van Zanten

We construct examples to show the sharpness of uniform continuity of quasiconformal mappings onto $s$-John domains. Our examples also give a negative answer to a prediction in [7].

Complex Variables · Mathematics 2024-10-15 Chang-Yu Guo , Pekka Koskela

Recently, a generalized test approach is proposed by Sadooghi-alvandi et al. (2016) and a fiducial approach is proposed by Xu and Li (2018) to test the equality of coefficients in several regression models with unequal variances. In this…

Methodology · Statistics 2018-10-24 Ali Akbar Jafari

Proteinaceous aggregation occurs through self-assembly-- a process not entirely understood. In a recent article [1], an analytical theory for amyloid fibril growth via secondary rather than primary nucleation was presented. Remarkably, with…

Biological Physics · Physics 2010-06-16 Barry D. Ganapol

Many new types of sensing or imaging surfaces are based on periodic thin films. It is explained how the response of those surfaces to partially coherent fields can be fully characterized by a set of functions in the wavenumber spectrum…

We comment on the paper `UCN anomalous losses and the UCN capture cross section on material defects' by A. Serebrov et al., Phys. Lett. A 335 (2005) 327 - 336. Data presented do not originate from these authors alone but were taken in…

Nuclear Experiment · Physics 2015-06-26 M. Daum , P. Geltenbort , R. Henneck , K. Kirch

Some biological mechanisms of early vision are comparatively well understood, but they have yet to be evaluated for their ability to accurately predict and explain human judgments of image similarity. From well-studied simple connectivity…

Computer Vision and Pattern Recognition · Computer Science 2020-08-18 Elijah Bowen , Antonio Rodriguez , Damian Sowinski , Richard Granger

This technical report provides proofs for the claims in the paper "A Full Picture in Conformance Checking: Efficiently Summarizing All Optimal Alignments".

Information Theory · Computer Science 2025-06-13 Philipp Bär , Moe T. Wynn , Sander J. J. Leemans

Optical absorption in a random one-dimensional lattice in the presence of paired correlated disorder is studied. The absorption line shape is evaluated by solving the microscopic equations of motion of the Frenkel-exciton problem in the…

Condensed Matter · Physics 2009-10-22 Francisco Dominguez-Adame , Enrique Macia , Angel Sanchez

A systematic fieldtheoretic description of critical adsorption on curved objects such as spherical or rodlike colloidal particles immersed in a fluid near criticality is presented. The temperature dependence of the corresponding order…

Statistical Mechanics · Physics 2009-10-31 A. Hanke , S. Dietrich

We investigate the structure of conformally rigid graphs. Graphs are conformally rigid if introducing edge weights cannot increase (decrease) the second (last) eigenvalue of the Graph Laplacian. Edge-transitive graphs and distance-regular…

Combinatorics · Mathematics 2025-06-26 João Gouveia , Stefan Steinerberger , Rekha R. Thomas

We give three applications of general theory about braided endomorphisms from conformal inclusions developed previously by us. The first is an example of subfactors associated with conformal inclusion whose dual fusion ring is…

q-alg · Mathematics 2009-10-30 Feng Xu

The recent criticisms of the robustness of post hoc model approximation explanation methods (like LIME and SHAP) have led to the rise of model-precise abductive explanations. For each data point, abductive explanations provide a minimal…

Artificial Intelligence · Computer Science 2023-10-13 Gagan Biradar , Yacine Izza , Elita Lobo , Vignesh Viswanathan , Yair Zick

The ability of a protein to recognise multiple independent target conformations was demonstrated in [1]. Here we consider the recognition of correlated configurations, which we apply to funnel design for a single conformation. The maximum…

Soft Condensed Matter · Physics 2007-05-23 Robin C Ball , Thomas M A Fink

Ward and Kellis (Reports, September 5 2012) identify regulatory regions in the human genome exhibiting lineage-specific constraint and estimate the extent of purifying selection. There is no statistical rationale for the examples they…

Genomics · Quantitative Biology 2012-12-14 Nicolas Bray , Lior Pachter