A. K. Rigler

1.4k total citations · 1 hit paper
19 papers, 1.0k citations indexed

About

A. K. Rigler is a scholar working on Atomic and Molecular Physics, and Optics, Artificial Intelligence and Computational Theory and Mathematics. According to data from OpenAlex, A. K. Rigler has authored 19 papers receiving a total of 1.0k indexed citations (citations by other indexed papers that have themselves been cited), including 7 papers in Atomic and Molecular Physics, and Optics, 4 papers in Artificial Intelligence and 4 papers in Computational Theory and Mathematics. Recurrent topics in A. K. Rigler's work include Neural Networks and Applications (4 papers), Adaptive optics and wavefront sensing (3 papers) and Photonic and Optical Devices (3 papers). A. K. Rigler is often cited by papers focused on Neural Networks and Applications (4 papers), Adaptive optics and wavefront sensing (3 papers) and Photonic and Optical Devices (3 papers). A. K. Rigler collaborates with scholars based in United States. A. K. Rigler's co-authors include Thomas P. Vogl, Daniel L. Alkon, John M. Irvine, Kim T. Blackwell, G. B. Brandt and Richard S. Varga and has published in prestigious journals such as Journal of Computational Physics, Mathematics of Computation and Physics Letters A.

In The Last Decade

A. K. Rigler

18 papers receiving 948 citations

Hit Papers

Accelerating the convergence of the back-propagation method 1988 2026 2000 2013 1988 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Accelerating the convergence of the back-propagation method
    1988 812 citations Thomas P. Vogl, A. K. Rigler et al. Biological Cybernetics profile →

Peers

A. K. Rigler
James D. Keeler United States
Eric Hartman United States
Robert J. Schalkoff United States
Michael Hüsken Germany
L.B. White Australia
Pai‐Hsuen Chen Taiwan
V. Rao Vemuri United States
E.L. Dagless United Kingdom
Fredric M. Ham United States
Paulo Gonçalves Brazil
James D. Keeler United States
A. K. Rigler
Citations per year, relative to A. K. Rigler A. K. Rigler (= 1×) peers James D. Keeler

Countries citing papers authored by A. K. Rigler

Since Specialization
Citations

This map shows the geographic impact of A. K. Rigler's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by A. K. Rigler with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites A. K. Rigler more than expected).

Fields of papers citing papers by A. K. Rigler

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by A. K. Rigler. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by A. K. Rigler. The network helps show where A. K. Rigler may publish in the future.

Co-authorship network of co-authors of A. K. Rigler

This figure shows the co-authorship network connecting the top 25 collaborators of A. K. Rigler. A scholar is included among the top collaborators of A. K. Rigler based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with A. K. Rigler. A. K. Rigler is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

19 of 19 papers shown
1.
2.
Rigler, A. K., John M. Irvine, & Thomas P. Vogl. (1991). Rescaling of variables in back propagation learning. Neural Networks. 4(2). 225–229. 72 indexed citations
3.
Alkon, Daniel L., et al.. (1990). Pattern-recognition by an artificial network derived from biologic neuronal systems. Biological Cybernetics. 62(5). 363–376. 36 indexed citations
4.
Rigler, A. K., et al.. (1989). Sharp lower bounds for a generalized Jensen inequality. Rocky Mountain Journal of Mathematics. 19(1). 9 indexed citations
5.
Vogl, Thomas P., et al.. (1988). Accelerating the convergence of the back-propagation method. Biological Cybernetics. 59(4-5). 257–263. 812 indexed citations breakdown →
6.
Rigler, A. K., et al.. (1982). A penalty treatment of equality constraints in generalized geometric programming. Journal of Optimization Theory and Applications. 38(2). 169–178. 9 indexed citations
7.
Rigler, A. K., et al.. (1979). An algorithm for least squares analysis of spectroscopic data. BIT Numerical Mathematics. 19(4). 448–456. 1 indexed citations
8.
Rigler, A. K., et al.. (1973). Grey’s method for nonlinear optimization. Journal of the Optical Society of America. 63(5). 576–576. 5 indexed citations
9.
Rigler, A. K., et al.. (1972). Comparison of Four Nonlinear Optimization Methods. Applied Optics. 11(7). 1659–1659. 2 indexed citations
10.
Vogl, Thomas P., et al.. (1971). Asymmetric Lens Design Using Bicubic Splines: Application to the Color TV Lighthouse. Applied Optics. 10(11). 2513–2513. 9 indexed citations
11.
Rigler, A. K. & Thomas P. Vogl. (1971). Spline Functions: an Alternative Representation of Aspheric Surfaces. Applied Optics. 10(7). 1648–1648. 14 indexed citations
12.
Brandt, G. B. & A. K. Rigler. (1970). Lens Response to Extended Sources. Applied Optics. 9(11). 2554–2554. 2 indexed citations
13.
Rigler, A. K.. (1969). A choice of starting vectors in relaxation methods. Journal of Computational Physics. 4(3). 419–423. 1 indexed citations
14.
Rigler, A. K.. (1968). Note on the Fast Fourier Transform. Journal of the Optical Society of America. 58(2). 274–274. 2 indexed citations
15.
Vogl, Thomas P., et al.. (1967). Semiautomatic Generation of Optical Prototypes. Applied Optics. 6(5). 969–969. 5 indexed citations
16.
Brandt, G. B. & A. K. Rigler. (1967). Reflection holograms of focused images. Physics Letters A. 25(2). 68–69. 5 indexed citations
17.
Rigler, A. K., et al.. (1966). Wide-Angle Holography*. Journal of the Optical Society of America. 56(4). 524–524. 6 indexed citations
18.
Rigler, A. K.. (1965). Estimation of the successive over-relaxation factor. Mathematics of Computation. 19(90). 302–307. 10 indexed citations
19.
Rigler, A. K.. (1965). Wavefront Reconstruction by Reflection. Journal of the Optical Society of America. 55(12). 1693–1693. 16 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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