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Constructive Approximation
H-index 14

Constructive Approximation

0176-4276

Published by: Springer

https://www.springer.com/journal/365

Ranking & Metrics

Discipline name Position Best Scientists Publications D-Index
Mathematics 179 43 55 13
Computer Science 697 10 11 8

Additional Metrics

Number of Best Scientists*: 50
Documents by Best Scientists*: 61
Top 100 Ranked Scientists*: 4
SCIMAGO H-index: 56
SCIMAGO SJR: 1.871
Impact Factor: 1.2

Overview

Top Research Topics at Constructive Approximation?

The journal is organized to address concerns in the fields of Numerical analysis, Mathematical analysis, Combinatorics, Pure mathematics and Discrete mathematics. The concepts on Numerical analysis presented in Constructive Approximation can also apply to other research fields, including Measure (mathematics), Spline (mathematics), Type (model theory), Norm (mathematics) and Applied mathematics. The Mathematical analysis study featured in the journal draws parallels with the field of Wavelet.

Combinatorics research featured in the journal incorporates concerns from various other topics such as Function (mathematics), Sequence and Polynomial. The journal investigates Pure mathematics research which frequently intersects with Algebra. Interpolation research is concerned with Spline interpolation in particular.

The journal covers various topics on Orthogonal polynomials such as Classical orthogonal polynomials, Discrete orthogonal polynomials, Jacobi polynomials and Gegenbauer polynomials. It focuses on Classical orthogonal polynomials as well as the interrelated topic of Difference polynomials.

  • Numerical analysis (40.47%)
  • Mathematical analysis (38.68%)
  • Combinatorics (34.36%)

What are the most cited papers published in the journal?

  • A Simple Proof of the Restricted Isometry Property for Random Matrices (2159 citations)
  • Interpolation of scattered data: Distance matrices and conditionally positive definite functions (1294 citations)
  • Adaptive greedy approximations (1013 citations)

Research areas of the most cited articles at Constructive Approximation:

The most cited papers focus largely on the fields of Combinatorics, Mathematical analysis, Numerical analysis, Discrete mathematics and Pure mathematics. The published articles hold forums on Combinatorics that merge themes from other disciplines such as Function (mathematics), Upper and lower bounds and Smoothness (probability theory). The Mathematical analysis research presented in the most cited papers focuses mostly on Wavelet and, on occasion, topics in Scaling and Algorithm.

What topics the last edition of the journal is best known for?

  • Mathematical analysis
  • Algebra
  • Complex number

The previous edition focused in particular on these issues:

Constructive Approximation tackles a plethora of topics, such as Numerical analysis, Combinatorics, Pure mathematics, Applied mathematics and Artificial neural network. The field of Mathematical analysis is the anchor for the Numerical analysis studies presented in it. The featured works in Mixed norm, which all belong in the domain if Mathematical analysis, also overlaps with concepts under Entropy (classical thermodynamics).

Combinatorics research presented in it encompasses a variety of subjects, including Function (mathematics), Hypergeometric function and Type (model theory). Constructive Approximation explores issues in Pure mathematics which can be linked to other research areas like Point (geometry), Polynomial and Discrete cosine transform. It facilitates discussions on Applied mathematics that incorporate concepts from other fields like Univariate, Multivariate statistics, Uniform norm, Reproducing kernel Hilbert space and Approximation theory.

The most cited articles from the last journal are:

  • Some $q$-supercongruences from transformation formulas for basic hypergeometric series (48 citations)
  • Exponential ReLU DNN Expression of Holomorphic Maps in High Dimension (38 citations)
  • Approximation Spaces of Deep Neural Networks (11 citations)

Papers citation over time

A key indicator for each journal is its effectiveness in reaching other researchers with the papers published at that venue.

The chart below presents the interquartile range (first quartile 25%, median 50% and third quartile 75%) of the number of citations of articles over time.

The top authors publishing in Constructive Approximation (based on the number of publications) are:

  • Doron S. Lubinsky (25 papers) published 1 paper at the last edition,
  • Ronald A. DeVore (18 papers) published 3 papers at the last edition,
  • Vladimir Temlyakov (18 papers) published 2 papers at the last edition,
  • Edward B. Saff (18 papers) absent at the last edition,
  • Vilmos Totik (14 papers) absent at the last edition.

The overall trend for top authors publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top authors.

Only papers with recognized affiliations are considered

The top affiliations publishing in Constructive Approximation (based on the number of publications) are:

  • University of South Carolina (40 papers) published 4 papers at the last edition, 3 more than at the previous edition,
  • University of Alberta (37 papers) published 2 papers at the last edition,
  • Texas A&M University (36 papers) published 4 papers at the last edition,
  • Vanderbilt University (26 papers) absent at the last edition,
  • University of South Florida (25 papers) published 1 paper at the last edition.

The overall trend for top affiliations publishing in this journal is outlined below. The chart shows the number of publications at each edition of the journal for top affiliations.

Publication chance based on affiliation

The publication chance index shows the ratio of articles published by the best research institutions in the journal edition to all articles published within that journal. The best research institutions were selected based on the largest number of articles published during all editions of the journal.

The chart below presents the percentage ratio of articles from top institutions (based on their ranking of total papers).Top affiliations were grouped by their rank into the following tiers: top 1-10, top 11-20, top 21-50, and top 51+. Only articles with a recognized affiliation are considered.

During the most recent 2021 edition, 0.00% of publications had an unrecognized affiliation. Out of the publications with recognized affiliations, 22.22% were posted by at least one author from the top 10 institutions publishing in the journal. Another 3.70% included authors affiliated with research institutions from the top 11-20 affiliations. Institutions from the 21-50 range included 12.96% of all publications and 61.11% were from other institutions.

Returning Authors Index

A very common phenomenon observed among researchers publishing scientific articles is the intentional selection of journals they have already attended in the past. In particular, it is worth analyzing the case when the authors participate in the same journal from year to year.

The Returning Authors Index presented below illustrates the ratio of authors who participated in both a given as well as the previous edition of the journal in relation to all participants in a given year.

Returning Institution Index

The graph below shows the Returning Institution Index, illustrating the ratio of institutions that participated in both a given and the previous edition of the conference in relation to all affiliations present in a given year.

The experience to innovation index

Our experience to innovation index was created to show a cross-section of the experience level of authors publishing in a journal. The index includes the authors publishing at the last edition of a journal, grouped by total number of publications throughout their academic career (P) and the total number of citations of these publications ever received (C).

The group intervals were selected empirically to best show the diversity of the authors' experiences, their labels were selected as a convenience, not as judgment. The authors were divided into the following groups:

  • Novice - P < 5 or C < 25 (the number of publications less than 5 or the number of citations less than 25),
  • Competent - P < 10 or C < 100 (the number of publications less than 10 or the number of citations less than 100),
  • Experienced - P < 25 or C < 625 (the number of publications less than 25 or the number of citations less than 625),
  • Master - P < 50 or C < 2500 (the number of publications less than 50 or the number of citations less than 2500),
  • Star - P ≥ 50 and C ≥ 2500 (both the number of publications greater than 50 and the number of citations greater than 2500).

The chart below illustrates experience levels of first authors in cases of publications with multiple authors.

Top Publications

  • A Theoretical Analysis of Deep Neural Networks and Parametric PDEs

    Gitta Kutyniok;Gitta Kutyniok;Philipp Petersen;Mones Raslan;Reinhold Schneider

    (2021)
    215 Citations
  • DNN Expression Rate Analysis of High-Dimensional PDEs: Application to Option Pricing

    Dennis Elbrächter;Philipp Grohs;Philipp Grohs;Arnulf Jentzen;Arnulf Jentzen;Christoph Schwab

    (2021)
    128 Citations
  • Exponential ReLU DNN Expression of Holomorphic Maps in High Dimension

    Joost A.A. Opschoor;Christoph Schwab;Jakob Zech

    (2021)
    109 Citations
  • Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ ReLU Networks

    I. Daubechies;R. DeVore;S. Foucart;B. Hanin;B. Hanin;B. Hanin

    (2021)
    101 Citations
  • The Barron Space and the Flow-Induced Function Spaces for Neural Network Models

    E. Weinan;Chao Ma;Lei Wu

    (2021)
    66 Citations
  • Manifold Approximation by Moving Least-Squares Projection (MMLS)

    Barak Sober;David Levin

    (2020)
    38 Citations
  • Sharp Results on Sampling with Derivatives in Shift-Invariant Spaces and Multi-Window Gabor Frames

    Karlheinz Gröchenig;José Luis Romero;José Luis Romero;Joachim Stöckler

    (2020)
    27 Citations
  • Sampling Discretization of Integral Norms

    F. Dai;A. Prymak;A. Shadrin;V. Temlyakov;V. Temlyakov

    (2021)
    24 Citations

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