B. Roy Frieden

Q: What Schools Are Affiliated With B. Roy Frieden

B. Roy Frieden is affiliated with the following schools: University of Arizona, University of Rochester

B. Roy Frieden's AcademicInfluence.com Rankings

B. Roy Frieden

Mathematics

#2256

World Rank

#3517

Historical Rank

#897

USA Rank

Measure Theory

#843

World Rank

#1111

Historical Rank

#317

USA Rank

mathematics Degrees

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Mathematics

B. Roy Frieden's Degrees

PhD Physics University of Arizona

Why Is B. Roy Frieden Influential?

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According to Wikipedia, Bernard Roy Frieden is an American mathematical physicist. Frieden obtained a Ph.D. in optics from The Institute of Optics at the University of Rochester. His doctoral thesis advisor was Robert E. Hopkins. Frieden is now an emeritus professor of optical sciences at the University of Arizona.

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B. Roy Frieden's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Restoring with maximum likelihood and maximum entropy. (1972) (649)
Laser speckle and related phenomena (1984) (578)
Adaptive therapy. (2009) (577)
Physics from Fisher Information: A Unification (1998) (373)
Science from Fisher Information (2004) (369)
Science from Fisher Information: A Unification (2004) (294)
Probability, Statistical Optics, And Data Testing (1982) (278)
Physics from Fisher Information by B. Roy Frieden (1998) (200)
Image enhancement and restoration (1979) (191)
VIII Evaluation, Design and Extrapolation Methods for Optical Signals, Based on Use of the Prolate Functions (1971) (187)
Optical Transfer of the Three-Dimensional Object*† (1967) (168)
Physics from Fisher information (1998) (165)
Lossless conversion of a plane laser wave to a plane wave of uniform irradiance. (1965) (149)
Fisher information as the basis for the Schrödinger wave equation (1989) (142)
Exploratory Data Analysis Using Fisher Information (2006) (124)
Image recovery: Theory and application (1987) (118)
A New Restoring Algorithm For The Preferential Enhancement Of Edge Gradients (1976) (116)
Fisher-based thermodynamics: its Legendre transform and concavity properties. (1999) (91)
Information Theory in Living Systems, Methods, Applications, and Challenges (2007) (83)
Band-Unlimited Reconstruction of Optical Objects and Spectra* (1967) (79)
Statistical models for the image restoration problem (1980) (74)
Application of information theory and extreme physical information to carcinogenesis. (2002) (73)
Detection and Assessment of Ecosystem Regime Shifts from Fisher Information (2008) (69)
Image gathering and processing for enhanced resolution (1984) (65)
Schrödinger link between nonequilibrium thermodynamics and Fisher information. (2002) (61)
Information dynamics in carcinogenesis and tumor growth. (2004) (60)
On Arbitrarily Perfect Imagery with a Finite Aperture (1969) (58)
Restoring with maximum entropy. III. Poisson sources and backgrounds (1978) (58)
A `CLEAN'-type Deconvolution Algorithm (1978) (55)
Degrees of freedom, and eigenfunctions, for the noisy image (1974) (54)
The computer in optical research (1980) (52)
Applications to Optics and Wave Mechanics of the Criterion of Maximum Cramer-Rao Bound (1988) (50)
Population genetics from an information perspective. (2001) (47)
Fisher information and uncertainty complementarity (1992) (46)
Unified theory for estimating frequency-of-occurrence laws and optical objects (1983) (44)
Information Dynamics in Living Systems: Prokaryotes, Eukaryotes, and Cancer (2011) (43)
New inverse synthetic aperture radar algorithm for translational motion compensation (1991) (43)
Toward a formal theory of socioculture: A yin-yang information-based theory of social change (2008) (39)
Physics from Fisher Information: What is Fisher information? (1998) (38)
Restoring with Maximum Entropy, II: Superresolution of Photographs of Diffraction-Blurred Impulses* (1972) (37)
Nonequilibrium thermodynamics and Fisher information: sound wave propagation in a dilute gas. (2003) (37)
Estimation of distribution laws, and physical laws, by a principle of extremized physical information (1993) (37)
Dice, entropy, and likelihood (1985) (36)
Image restoration by discrete convolution of minimal length (1974) (35)
Probability, Statistical Optics and Data Testing: A Problem Solving Approach (2001) (34)
Bayesian cross-entropy reconstruction of complex images. (1994) (32)
Quantum-mechanical solution for the simple harmonic oscillator in a box (1976) (31)
Fisher Information and Equilibrium Distributions in Econophysics (2004) (28)
Non-equilibrium thermodynamics and Fisher information: An illustrative example (2002) (27)
Signal transmission through elements of the cytoskeleton form an optimized information network in eukaryotic cells (2019) (27)
Computer-generated holograms W. J. Dallas (1980) (26)
Fast tracking algorithm for multiframe particle image velocimetry data. (1989) (25)
A probability law for the fundamental constants (1986) (25)
A metahistorical information theory of social change: the theory (2005) (24)
Quantifying system order for full and partial coarse graining. (2010) (23)
Intracellular Electric Field and pH Optimize Protein Localization and Movement (2012) (22)
Asymmetric information and economics (2010) (22)
Maximum bounded entropy: application to tomographic reconstruction. (1985) (22)
Coulomb Interactions between Cytoplasmic Electric Fields and Phosphorylated Messenger Proteins Optimize Information Flow in Cells (2010) (22)
BOOK REVIEW: Probability, Statistical Optics, and Data Testing, 3rd edn (2002) (21)
The Critical Roles of Information and Nonequilibrium Thermodynamics in Evolution of Living Systems (2013) (21)
Principle of maximum Fisher information from Hardy's axioms applied to statistical systems. (2013) (21)
The extrapolating pupil, image synthesis, and some thought applications. (1970) (20)
Cellular information dynamics through transmembrane flow of ions (2017) (18)
Power laws of complex systems from extreme physical information. (2005) (18)
Fisher information as the basis for diffraction optics. (1989) (17)
Asymmetric information and macroeconomic dynamics (2010) (17)
Inducing catastrophe in malignant growth. (2008) (17)
Fisher information and the complex nature of the Schrödinger wave equation (1991) (16)
Image reconstruction from multiple 1-D scans using filtered localized projection. (1987) (16)
Asymmetric Information and Quantization in Financial Economics (2012) (16)
Information, and the Restorability of Images (1970) (15)
Order in a multidimensional system. (2011) (15)
The role of non-genomic information in maintaining thermodynamic stability in living systems. (2004) (15)
Ion-Based Cellular Signal Transmission, Principles of Minimum Information Loss, and Evolution by Natural Selection (2019) (14)
Restored Pictures of Ganymede, Moon of Jupiter (1976) (14)
de Broglie’s wave hypothesis from Fisher information (2009) (14)
Turbulent image reconstruction from a superposition model (1993) (14)
Organisations as emergent normative personalities: part 2, predicting the unpredictable (2012) (13)
Maximum-information data processing: application to optical signals (1981) (12)
Fisher information as the basis for Maxwell's equations (1992) (12)
Computational methods of probability and statistics (1980) (12)
Information-theoretic significance of the Wigner distribution (2006) (11)
Effects of third-order spherical aberration on the 3-D incoherent optical transfer function. (1990) (11)
Relations between parameters of a decoherent system and Fisher information (2002) (11)
How Well Can a Lens System Transmit Entropy (1968) (11)
Statistical estimates of bounded optical scenes by the method of 'prior probabilities' (Corresp.) (1973) (11)
Fisher information as a measure of time (1996) (11)
Estimating Occurrence Laws with Maximum Probability, and the Transition to Entropic Estimators (1985) (10)
An exact, linear solution to the problem of imaging through turbulence (1998) (10)
Image Restoration Using A Norm Of Maximum Information (1979) (10)
Longitudinal Image Formation (1966) (9)
A CRITICAL COMPARISON OF THREE INFORMATION-BASED APPROACHES TO PHYSICS (2000) (9)
OPTIMUM, NON-LINEAR PROCESSING OF NOISY IMAGES (1968) (9)
Investigating Information Dynamics in Living Systems through the Structure and Function of Enzymes (2016) (9)
The Computer in optical research : methods and applications (1980) (8)
Maximum-probable restoration of photon-limited images. (1987) (8)
Turbulent image reconstruction using object power spectrum information (1993) (8)
Cell development obeys maximum Fisher information. (2013) (8)
The Importance Of Being Positive (1981) (8)
Reconstruction of complex signals using minimum Rényi information. (1995) (8)
Financial Economics from Fisher Information (2007) (8)
A metahistorical information theory of social change: an application (2005) (7)
Weighted Fisher informations, their derivation and use (2010) (7)
Image Evaluation by Use of the Sampling Theorem (1966) (7)
MAXIMUM ATTAINABLE MTF FOR ROTATIONALLY SYMMETRIC LENS SYSTEMS (1969) (7)
Introduction to Fisher Information: Its Origin, Uses, and Predictions (2007) (7)
Cell Development Pathways Follow from a Principle of Extreme Fisher (2011) (7)
Solution of the Maxwell field equations in vacuum for arbitrary charge and current distributions using the methods of matrix algebra (1993) (7)
Some Statistical Properties Of The Median Window (1984) (7)
Physical Information and the Derivation of Electron Physics (1994) (7)
Ab initio yield curve dynamics (2005) (6)
Composite fermion particles and Fisher information (2000) (6)
Entropic reconstruction of complex images (1993) (6)
Quantization in Financial Economics: An Information-Theoretic Approach (2017) (6)
Regularization of the image division approach to blind deconvolution. (1999) (6)
Effect upon universal order of Hubble expansion (2012) (5)
Restoration of longitudinal images. (1988) (5)
Closed-form maximum entropy image restoration (1997) (5)
Monte Carlo restoration of binary objects (1986) (5)
Higgs mass generation from the standpoint of information (2001) (5)
Another proof of the random variable transformation theorem (1986) (5)
RESTORING WITH MAXIMUM LIKELIHOOD (1971) (5)
F-Information, a Unitless Variant of Fisher Information (1999) (4)
Regularization of the image division approach to blind deconvolution (1998) (4)
Cancer Suppression by Compression (2015) (4)
Motion-dependent levels of order in a relativistic universe. (2012) (4)
Information and gravitation (1997) (4)
Image recovery by minimum discrimination from a template. (1989) (3)
Stochastic approaches to inversion problems in optics (1989) (3)
Integral logarithmic transform: theory and applications. (1992) (3)
Multiple-filter approach to phase retrieval from modulus data. (1992) (3)
Minimum entropy-neural network approach to turbulent-image reconstruction. (1995) (3)
Extreme Physical Information as a Principle of Universal Stability (2009) (3)
Black holes and optimum coding (2002) (3)
IT from Bit (2021) (3)
Restoration of a Poisson distributed image using a principle of extreme physical information (2009) (3)
Financial Probabilities from Fisher Information (2003) (2)
Science from Fisher Information: What is Fisher information? (2004) (2)
Reconstruction of complex signals using minimum Renyi information (1994) (2)
Fisher order measure and Petri’s universe (2012) (2)
Use of a Scanning Slit in Determination of a Radial Irradiance Distribution (1965) (2)
Maximum bounded entropy: application to tomographic reconstruction. (1985) (2)
Some analytical and statistical properties of Fisher information (1991) (2)
Parallel Information Phenomena of Biology and Astrophysics (2007) (2)
Conditions for correspondence between Hartree scattering and biological growth. (2008) (2)
Shannon Mutual Information Applied to Genetic Systems (2015) (2)
Estimating a Repeatable Statistical Law by Requiring Its Stability During Observation (2015) (2)
The Chi-Square Test of Significance (2001) (2)
Growth Characteristics of Organisms (2007) (1)
A New Algorithm for the Reduction of Image Degradation Due to Atmospheric Turbulence and Jitter (1993) (1)
Sociohistory: An Information Theory of Social Changef (2007) (1)
un 2 00 0 Classical trajectories compatible with quantum mechanics (2000) (1)
Science from Fisher Information: Fisher information in a vector world (2004) (1)
Science from Fisher Information: Numerov method (2004) (1)
Continuous Random Variables (2001) (1)
Spontaneous Formation of Universes from Vacuum via Information-induced Holograms (2019) (1)
Alternative classical trajectories compatible with quantum mechanics (2000) (1)
Science from Fisher Information: Econophysics, with Raymond J. Hawkins (2004) (1)
Physics from Fisher Information: Constrained-likelihood quantum measurement theory (1998) (1)
Maximum Entropy Restorations Of Ganymede (1976) (1)
Principle of minimum loss of Fisher information, arising from the Cramer-Rao inequality: Its role in evolution of bio-physical laws, complex systems and universes (2021) (1)
Viruses as Living Systems - A Metacybernetic View (2022) (1)
Information Theoretical Measures for Achieving Robust Learning Machines (2016) (1)
Growth of stable order in eukaryotes from environmental energy (2014) (1)
The Controversy Between Bayesians and Classicists (2001) (1)
Least-Squares Curve Fitting — Regression Analysis (2001) (1)
Information-based uncertainty for a photon (2007) (1)
Pseudolinear phase retrieval (1989) (1)
Aberration reduction by multiple relays of an incoherent image. (2004) (1)
Autopoiesis and Its Efficacy - A Metacybernetic View (2021) (1)
Maximum information data processing: application to signal smoothing and phase estimation (A) (1980) (1)
Fisher information and the complex nature of the Schrodinger (or Helmholtz) wave equation (1991) (0)
POLYNOMIAL EXPANSION IN CLASSICAL ABERRATIONS AND SPATIAL FREQUENCY FOR THE WAVE-ABERRATED OPTICAL TRANSFER FUNCTION OF AN AXIALLY ASYMMETRIC LENS SYSTEM. (1964) (0)
An Algorithm for Monte Carlo Restoration of Binary Images. (1985) (0)
Image reconstruction from a staggered array using filtered localization projection (A) (1986) (0)
Information, economics, and the Cramér-Rao bound (2021) (0)
Fisher's arrow of time in quantum cosmology (1997) (0)
The Monte Carlo Calculation (1991) (0)
Information-theoretic origin of 1/f spectral noise (1994) (0)
Science from Fisher Information: Summing up (2004) (0)
IMAGE PROCESSING IN COLOR: WIENER FILTERS FOR RESTORING AND REGISTERING THE SPECTRAL COMPONENTS OF POLYCHROMATIC PICTURES (1969) (0)
Physics from Fisher Information: The Einstein field equation of general relativity (1998) (0)
The Axiomatic Approach (2001) (0)
Maximum probable estimates of spectra (1996) (0)
Eight-by-Eight Spacetime Matrix Operator and Its Applications (2019) (0)
Classical statistical physics (1998) (0)
Science from Fisher Information: Transfer matrix method (2004) (0)
A Theory of the Collective Agency (2014) (0)
Physics from Fisher Information: Extreme physical information (1998) (0)
A FOURIER THEORY OF STATISTICAL IMAGE FORMATION (1968) (0)
The F-Test on Variance (1991) (0)
Quantitative phase retrieval in phase-contrast microscopy (1990) (0)
Introduction to Statistical Methods: Estimating the Mean, Median, Variance, S/N, and Simple Probability (2001) (0)
Publisher Correction: Signal transmission through elements of the cytoskeleton form an optimized information network in eukaryotic cells (2019) (0)
Matched Image Formation and Restoration System* (1983) (0)
Wave-like equations obeyed by information measures (1993) (0)
The Role of Information and Order in the Origin of Life (2012) (0)
New Algorithms for the Reduction of Image Degradation Due to Atmospheric Turbulence (1994) (0)
Maximum bounded entropy: application to tomography reconstruction (A) (1984) (0)
Probability-law estimation by a principle of minimum physical information (1992) (0)
Publisher Correction: Signal transmission through elements of the cytoskeleton form an optimized information network in eukaryotic cells (2019) (0)
Science from Fisher Information: Evaluation of certain integrals (2004) (0)
The Possibility Image Transform and Logical Convolution (1986) (0)
PROGRESS IN DIGITAL IMAGE PROCESSING, 1969 (1970) (0)
Mathematical Oncology Adaptive Therapy (2009) (0)
A PUPIL COATING FOR QUASI-PERFECT IMAGE FORMATION (1967) (0)
A Survey of Clear Air Turbulence and its E ff ect on Seeing (2001) (0)
Erratum and Addendum for Physical Information and the Derivation of Electron Physics (1996) (0)
Cancer growth, with Robert A. Gatenby (2004) (0)
Maximum Bounded Entropy: a New Method of Tomographic Reconstruction (1984) (0)
Image analysis and evaluation, SPSE International conference, Toronto, 19–23 July 1976 (1976) (0)
Estimating a Probability Law (1991) (0)
Power spectral 1/f noise (1998) (0)
Restoration of Photon-Limited Images (1986) (0)
Effect Of Different Implant Regimes On The Accuracy Of Ultrasound For Prediction Of Body Composition Characteristes In Beef Cattle (2002) (0)
Science from Fisher Information: Solutions common to entropy and Fisher I -extremization (2004) (0)
Physics from Fisher Information (Book Review). (2000) (0)
Extreme physical information (1998) (0)
THE EXTRAPOLATING PUPIL, IMAGE SYNTHESIS, AND APPLICATIONS FOR THE FUTURE (1969) (0)
Estimators for restoration and reconstruction using a principle of minimum discriminability (1987) (0)
Physics from Fisher Information: Simplified derivation of the Schroedinger wave equation (1998) (0)
Fisher's arrow of "time" in cosmological coherent phase space (1997) (0)
Fisher Information in Ecological Systems (2007) (0)
Four-dimensional normalization (2004) (0)
Image-noise reduction using Stein's procedure (A) (1977) (0)
The Critical Roles of Information and Nonequilibrium Thermodynamics in Evolution of Living Systems (2013) (0)
Accurate Determination of Length in a Routinely Obtained Picture (1986) (0)
Physics from Fisher Information: Cramer–Rao inequalities for vector data (1998) (0)
Extreme physical information and the nonlinear wave equation (1995) (0)
Physics from Fisher Information: Classical electrodynamics (1998) (0)
Physics from Fisher Information: Factorization of the Klein–Gordon information (1998) (0)
Cellular information dynamics through transmembrane flow of ions (2017) (0)
Functions of Random Variables (2001) (0)
Introduction to Estimation Methods (2001) (0)
Growth and transport processes (2004) (0)
Extreme Physical Information(EPI)and Superresolution (2001) (0)
Nonlinear deconvolution approaches (2005) (0)
Factorization of the Klein–Gordon information (1998) (0)
Speculations on unknown images, spectral sources, and physical constants (1987) (0)
Bernoulli Trials and Limiting Cases (1991) (0)
Information-based measure of chirality for biomolecules (2012) (0)
Measurement, Fisher information and the fundamental particles (1999) (0)
Physics from Fisher Information: Research topics (1998) (0)
The Student t-Test on the Mean (1991) (0)
Maximum Cramer-Rao Bound. Applications To: The Estimation Of Prior Probabilities, Image Restoration, And The Generation Of Quantum Mechanics (1988) (0)
Fisher information and error complimentarity (1991) (0)
An optical central limit theorem (2003) (0)
Measurement of length in a finite picture (1985) (0)
Science from Fisher Information: Derivation of relativistic quantum mechanics (2004) (0)
Physics from Fisher Information: Classical statistical physics (1998) (0)
How Well Can A Lens System Transmit Information (1968) (0)
Topics in Unconventional Imagery (1997) (0)
Physics from Fisher Information: Cramer–Rao inequality for an imaginary parameter (1998) (0)
Cancer Suppression by Compression (2014) (0)
An Entropic Solution to the Particle Correspondence Problem (1990) (0)
Derivation of Principle of Extreme Physical Information (2014) (0)
Constrained-likelihood quantum measurement theory (1998) (0)
Science from Fisher Information: Non-uniqueness of potential A for finite boundaries (2004) (0)
Bernoulli Trials and Its Limiting Cases (1983) (0)
Fourier Methods in Probability (2001) (0)
Fisher information, disorder, and optical signal estimation (1989) (0)
ArticleIon-Based Cellular Signal Transmission (2019) (0)
Science from Fisher Information: EPI derivations of Schrödinger wave equation, Newtonian mechanics, and classical virial theorem (2004) (0)
Uncertainty product for a subensemble of particles (1976) (0)
De Broglie(cid:146)s wave hypothesis from Fisher information (2008) (0)
Microscopic Observation of Film Cross Sections Having Steep Contours (1964) (0)
Black holes and optimum coding - eScholarship (2002) (0)
Maximum entropy restoration of ISAR images. (1992) (0)
Introduction to Estimating Probability Laws (2001) (0)
Cramer–Rao inequalities for vector data (1998) (0)
Science from Fisher Information: Classical electrodynamics (2004) (0)
Wiener-filtering approach to phase retrieval from modulus data (1990) (0)
Principal Components Analysis (2001) (0)
Fisher information as the basis for relativistic quantum mechanics (1990) (0)
A New Matrix Formulation of Classical Electrodynamics Part 1. Vacuum (1992) (0)
A Probability Law for the Fundamental (1986) (0)
Science from Fisher Information: Physical constants and the 1/ x probability law (2004) (0)
Image reconstruction from a staggered array using filtered localized projection (1986) (0)
Science from Fisher Information: EPI and entangled realities: the EPR–Bohm experiment (2004) (0)
Physics and information (2007) (0)
Schroedinger wave equation as a non-relativistic limit (1998) (0)

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