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Asymmetric lineshapes are experimentally observed in Raman spectra of different classes of condensed matter. Determination of the peak parameters, typically done with symmetric pseudo-Voigt functions, in such situations yields unreliable…

Other Condensed Matter · Physics 2018-05-11 Vitaly I. Korepanov , Darya M. Sedlovets

A model is presented that is applicable to a wide range of peak-shaped voltammetric signals. It may be used, via curve-fitting, to resolve severely overlapped peaks, irrespective of the degree(s) of reversibility of the electrode processes.…

Materials Science · Physics 2026-01-28 Weiguang Huang , T. L. E. Henderson , A. M. Bond , K. B. Oldham

Motivated by applications for simulating quantum many body functions, we propose a new universal ansatz for approximating anti-symmetric functions. The main advantage of this ansatz over previous alternatives is that it is bi-Lipschitz with…

Machine Learning · Computer Science 2025-03-07 Nadav Dym , Jianfeng Lu , Matan Mizrachi

In this note, we present a novel measure of similarity between two functions. It quantifies how the sub-optimality gaps of two functions convert to each other, and unifies several existing notions of functional similarity. We show that it…

Machine Learning · Computer Science 2025-01-15 Chengpiao Huang , Kaizheng Wang

We provide a geometric formulation of the problem of identification of the matching surplus function and we show how the estimation problem can be solved by the introduction of a generalized entropy function over the set of matchings.

Econometrics · Economics 2021-02-09 Alfred Galichon

We give a new characterization of the space of functions of bounded variation in terms of a pointwise inequality connected to the maximal function of a measure. The characterization is new even in Euclidean spaces and it holds also in…

Functional Analysis · Mathematics 2013-06-26 Panu Lahti , Heli Tuominen

Current rigid linkage grippers are limited in flexibility, and gripper design optimality relies on expertise, experiments, or arbitrary parameters. Our proposed rigid gripper can accommodate irregular and off-center objects through a…

Robotics · Computer Science 2022-07-05 Yusuke Tanaka , Yuki Shirai , Zachary Lacey , Xuan Lin , Jane Liu , Dennis Hong

The Sinc approximation has shown high efficiency for numerical methods in many fields. Conformal maps play an important role in the success, i.e., appropriate conformal map must be employed to elicit high performance of the Sinc…

Numerical Analysis · Mathematics 2022-03-04 Tomoaki Okayama , Yuya Shintaku , Eisuke Katsuura

Simultaneous Diophantine approximation is concerned with the approximation of a point $\mathbf x\in\mathbb R^d$ by points $\mathbf r\in\mathbb Q^d$, with a view towards jointly minimizing the quantities $\|\mathbf x - \mathbf r\|$ and…

Number Theory · Mathematics 2018-01-25 Lior Fishman , David Simmons

Signals with single peak and symmetry property are very common in various fields, such as probability density function of normal distribution. Among the information contained in such signals, peak position is the most important, sometimes…

Signal Processing · Electrical Eng. & Systems 2021-03-15 Wei Chen

The solution of a fine tuning problem is one of the principal motivations of Supersymmetry. However experimental constraints indicate that many Supersymmetric models are also fine tuned (although to a much lesser extent). We review the…

High Energy Physics - Phenomenology · Physics 2015-05-13 Peter Athron , D. J. Miller

Finding correspondences between shapes is a fundamental problem in computer vision and graphics, which is relevant for many applications, including 3D reconstruction, object tracking, and style transfer. The vast majority of correspondence…

Computer Vision and Pattern Recognition · Computer Science 2024-04-04 Maolin Gao , Zorah Lähner , Johan Thunberg , Daniel Cremers , Florian Bernard

Accurate fitting formulae to the synchrotron function, $F(x)$, and its complementary function, $G(x)$, are performed and presented. The corresponding relative errors are less than $0.26\%$ and $0.035\%$ for $F(x) $ and $G(x)$, respectively.…

High Energy Astrophysical Phenomena · Physics 2015-06-12 M. Fouka , S. Ouichaoui

This paper defines a distance function that measures the dissimilarity between planar geometric figures formed with straight lines. This function can in turn be used in partial matching of different geometric figures. For a given pair of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Apoorva Honnegowda Roopa , Shrisha Rao

Interference-fit joints are typically adopted to produce permanent assemblies among mechanical parts. The resulting contact pressure is generally used for element fixing or to allow load transmission. Nevertheless, some special designs take…

Optics · Physics 2021-12-08 Luca Esposito , Alcide Bertocco , Matteo Bruno , Andrew Ruggiero

We consider universal approximations of symmetric and anti-symmetric functions, which are important for applications in quantum physics, as well as other scientific and engineering computations. We give constructive approximations with…

Numerical Analysis · Mathematics 2022-02-17 Jiequn Han , Yingzhou Li , Lin Lin , Jianfeng Lu , Jiefu Zhang , Linfeng Zhang

The asymmetric objective function is proposed as an alternative to Huber objective function to model skewness and obtain robust estimators for the location, scale and skewness parameters. The robustness and asymptotic properties of the…

Statistics Theory · Mathematics 2017-02-02 Mehmet Niyazi Cankaya , Olcay Arslan

This paper aims to characterize the function appearing in the weighted Hermite-Hadamard inequality. We provide improved inequalities for the weighted means as applications of the obtained results. Modifications of the weighted…

General Mathematics · Mathematics 2023-01-02 Shigeru Furuichi , Nicuşor Minculete , Hamid Reza Moradi

In this paper, new improvement of celebrated H\"older inequality by means of isotonic linear functionals is established. An important feature of the new inequality obtained in here is that many existing inequalities related to the H\"older…

General Mathematics · Mathematics 2019-03-01 İmdat İşcan

The aim of this paper is to analyze the weighted KyFan inequality proposed in [11]. A number of numerical simulations involving the exponential weighted function is given. We show that in several cases and types of examples one can imply an…

Information Theory · Computer Science 2015-04-07 Yuri Suhov , Salimeh Yasaei Sekeh
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