Leonard E. Baum

11.0k citations
24 papers · 7.1k · 4 hit papers · h-index 13

Impact in

    • Speech and Audio Processing
    • Music and Audio Processing
    • Speech Recognition and Synthesis
    • Bayesian Methods and Mixture Models
    • Natural Language Processing Techniques
    • Algorithms and Data Compression
    • Topic Modeling

Papers in

Leonard E. Baum

21 papers receiving 6.3k citations

Leonard E. Baum's Hit Papers

An inequality and associated maximization technique in statistical estimation of probabilistic functions of a Markov process 1972 · 936 citations
9360+20+40Years since publication50010001.5k2.0k2.5k

Peers

Leonard E. Baum
Comparison fields: 5 of 185
  • Signal Processing 1.5k
  • Artificial Intelligence 3.3k
  • Statistics and Probability 644
  • Management Science and Operations Research 771
  • Finance 471
Replace Ted Petrie with:
Ted Petrie United States
Herman Chernoff United States
A. P. Dempster United States
J. Rissanen United States
Adam Krzyżak Canada
Ronald Graham United States
Herbert Robbins United States
Robert C. Williamson Australia
J. C. Dunn United States
Peter L. Bartlett United States
Leonard E. Baum relative to Ted Petrie United States Ted Petrie's profile →
Citations per field
00.5×3.3×
Ted Petrie · 1×
Citations per year

Countries citing papers authored by Leonard E. Baum

Since Specialization
Citations

This map shows the geographic impact of Leonard E. Baum'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 Leonard E. Baum with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Leonard E. Baum more than expected).

Fields of papers citing papers by Leonard E. Baum

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Leonard E. Baum. 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 Leonard E. Baum. The network helps show where Leonard E. Baum may publish in the future.

Co-authors

The 10 scholars most cited alongside Leonard E. Baum, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Leonard E. Baum Line = papers co-authored together Leonard E. Baum links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 24 papers — load more, or switch the sort, to bring in the rest.

#Work
1
A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
Hit paper breakdown →
19702823
2
Statistical Inference for Probabilistic Functions of Finite State Markov Chains
Hit paper breakdown →
19661692
3
An inequality and associated maximization technique in statistical estimation of probabilistic functions of a Markov process
Hit paper breakdown →
1972936
4
An inequality with applications to statistical estimation for probabilistic functions of Markov processes and to a model for ecology
Hit paper breakdown →
1967653
5 1965408
6 1968245
7 197672
8 196553
9 196545
10 196235
11 197733
12 196319
13 197119
14 19756
15 19625
16 19634
17 19733
18 19633
19 19662
20 19772

About Leonard E. Baum

Leonard E. Baum is a scholar working on Mathematical Physics, Management Science and Operations Research, Finance, Computational Theory and Mathematics and Artificial Intelligence, having authored 24 papers that have together received 7.1k indexed citations. Recurring topics across this work include Stochastic processes and financial applications (6 papers), Stochastic processes and statistical mechanics (6 papers), Probability and Risk Models (6 papers), Polynomial and algebraic computation (2 papers), advanced mathematical theories (2 papers), semigroups and automata theory (2 papers), Advanced Topics in Algebra (2 papers) and Meromorphic and Entire Functions (1 paper). The work is most often cited by research in Signal Processing (1.5k citations), Artificial Intelligence (3.3k citations), Statistics and Probability (644 citations), Management Science and Operations Research (771 citations) and Finance (471 citations). Leonard E. Baum has collaborated with scholars based in United States. Frequent co-authors include Ted Petrie, Norman Weiß, Melvin Katz, George R. Sell, Patrick Billingsley, Howard H. Stratton, Lee Paul Neuwirth, J. A. Eagon, Samuel J. Lomonaco and John Ferguson. Their work appears in journals such as Transactions of the American Mathematical Society, Annals of Mathematics, Journal of Combinatorial Theory Series A, Proceedings of the American Mathematical Society and Canadian Journal of Mathematics.

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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