A5048821900- Sparse and Compressive Sensing Techniques
- Numerical methods in inverse problems
- Cosmology and Gravitation Theories
- Geophysics and Gravity Measurements
- Scientific Research and Discoveries
- Seismic Imaging and Inversion Techniques
- Radio Astronomy Observations and Technology
- Gaussian Processes and Bayesian Inference
- Stochastic Gradient Optimization Techniques
- Statistical and numerical algorithms
- Probabilistic and Robust Engineering Design
- Statistical Methods and Inference
- Image and Signal Denoising Methods
- Galaxies: Formation, Evolution, Phenomena
- Seismic Waves and Analysis
- High-pressure geophysics and materials
- Machine Learning and ELM
- Medical Imaging Techniques and Applications
- Bayesian Methods and Mixture Models
- earthquake and tectonic studies
- Control Systems and Identification
- Mineral Processing and Grinding
- Drilling and Well Engineering
- Fault Detection and Control Systems
- Advanced Image Processing Techniques
University of California, Berkeley
1991-2024
Colorado School of Mines
2011-2023
Applied Mathematics (United States)
2013-2023
University of Colorado Boulder
2020
Purdue University West Lafayette
2007
Massachusetts Institute of Technology
2007
University of Illinois Urbana-Champaign
2007
Florida College
2003
University of South Florida
2003
James A. Haley Veterans' Hospital
2003
view Abstract Citations (2594) References (25) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Structure in the COBE Differential Microwave Radiometer First-Year Maps Smoot, G. F. ; Bennett, C. L. Kogut, A. Wright, E. Aymon, J. Boggess, N. W. Cheng, S. de Amici, Gulkis, Hauser, M. Hinshaw, Jackson, P. D. Janssen, Kaita, Kelsall, T. Keegstra, Lineweaver, Loewenstein, K. Lubin, Mather, Meyer, Moseley, H. Murdock, Rokke, Silverberg, R. Tenorio, Weiss, Wilkinson,...
view Abstract Citations (376) References (31) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Dipole Anisotropy in the COBE Differential Microwave Radiometers First-Year Sky Maps Kogut, A. ; Lineweaver, C. Smoot, G. F. Bennett, L. Banday, Boggess, N. W. Cheng, E. S. de Amici, Fixsen, D. J. Hinshaw, Jackson, P. Janssen, M. Keegstra, Loewenstein, K. Lubin, Mather, Tenorio, Weiss, R. Wilkinson, T. Wright, We present a determination of cosmic microwave background...
We used three-dimensional inverse scattering of core-reflected shear waves for large-scale, high-resolution exploration Earth's deep interior (D″) and detected multiple, piecewise continuous interfaces in the lowermost layer beneath Central North America. With thermodynamic properties phase transitions mantle silicates, we interpret images estimate situ temperatures. A widespread wave-speed increase at 150 to 300 kilometers above coremantle boundary is consistent with a transition from...
Solving any inverse problem requires understanding the uncertainties in data to know what it means fit data. We also need methods incorporate data‐independent prior information eliminate unreasonable models that Both of these issues involve subtle choices may significantly influence results calculations. The specification is especially controversial. How does one quantify information? What mean something about a parameter priori? In this tutorial we discuss Bayesian and frequentist...
view Abstract Citations (184) References (8) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS The Dipole Observed in the COBE DMR 4 Year Data Lineweaver, C. H. ; Tenorio, L. Smoot, G. F. Keegstra, P. Banday, A. J. Lubin, largest anisotropy cosmic microwave background (CMB) is ~3 mK dipole assumed to be due our velocity with respect CMB. Using year data set from all six channels of Differential Microwave Radiometers (DMR), we obtain a best-fit amplitude 3.358...
In the Bayesian approach to inverse problems, data are often informative, relative prior, only on a low-dimensional subspace of parameter space. Significant computational savings can be achieved by using this characterize and approximate posterior distribution parameters. We first investigate approximation covariance matrix as low-rank update prior matrix. prove optimality particular update, based leading eigendirections pencil defined Hessian negative log-likelihood precision, for broad...
In experimental sciences we often need to solve inverse problems. That is, want obtain information about the internal structure of a physical system from indirect noisy observations. Often problem is not whether solution exists; on contrary, there are too many solutions that fit data chosen tolerance level. The goal use prior determine physically meaningful solution. Here, present some basic questions arise. We describe methods can be used find inversion estimates as well ways assess their...
view Abstract Citations (225) References (22) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Preliminary Results from the COBE Differential Microwave Radiometers: Large Angular Scale Isotropy of Cosmic Background Smoot, G. F. ; Bennett, C. L. Kogut, A. Aymon, J. Backus, de Amici, Galuk, K. Jackson, P. D. Keegstra, Rokke, Tenorio, Torres, S. Gulkis, Hauser, M. Janssen, Mather, Weiss, R. Wilkinson, T. Wright, E. Boggess, N. W. Cheng, Kelsall, Lubin, Meyer,...
While an experimental design for well-posed inverse linear problems has been well studied, covering a vast range of well-established criteria and optimization algorithms, its ill-posed counterpart is rather new topic. The nature the problem entails incorporation regularization techniques. consequent non-stochastic error introduced by needs to be taken into account when choosing criterion. We discuss different ways define optimal that controls both average total regularized estimates measure...
Design of experiments for discrete ill-posed problems is a relatively new area research. While there has been some limited work concerning the linear case, little done to study design criteria and numerical methods nonlinear problems. We present an algorithmic framework experimental with efficient implementation. The data are modeled as indirect, noisy observations model collected via set plausible experiments. An inversion estimate based on these obtained by weighted Tikhonov regularization...
The sky rms is the simplest model-independent characterization of a cosmological anisotropy signal. We show that temperature fluctuations determined from COBE Differential Microwave Radiometer (DMR) 4 yr maps are frequency independent, consistent with Planckian spectrum expected for cosmic microwave background signal and therefore hypothesis they in origin. typical amplitude ~35 ± 2 μK at 7° ~29 1 10°. An analysis data both Galactic ecliptic coordinates used to determine quadrupole...
We consider the solution of a distributed parameter estimation problem where data are contaminated by noise. A common approach to solve such is use Tikhonov style regularization; however, it not always clear what type regularization penalty should be used for given as different operators may yield very solutions. Here we supervised learning techniques determine functional training set feasible Our leads constraint optimization that using inexact sequential quadratic programming methods....
We use statistical and topological quantities to test the COBE-DMR first year sky maps against hypothesis that observed temperature fluctuations reflect Gaussian initial density perturbations with random phases. Recent papers discuss specific as discriminators between non-Gaussian behavior, but treatment of instrumental noise on data is largely ignored. The presence in biases many a manner dependent both properties unknown CMB field. Appropriate weighting schemes can minimize this effect, it...
view Abstract Citations (116) References (12) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Comments on the Statistical Analysis of Excess Variance in COBE Differential Microwave Radiometer Maps Wright, E. L. ; Smoot, G. F. Kogut, A. Hinshaw, Tenorio, Lineweaver, C. Bennett, Lubin, P. M. Cosmic anisotropy produces an excess variance σ_sky_^2^ {DELTA}T maps produced by (DMR) CO8E that is over and above instrument noise. After smoothing to effective...
view Abstract Citations (64) References (15) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS COBE Differential Microwave Radiometers: Preliminary Systematic Error Analysis Kogut, A. ; Smoot, G. F. Bennett, C. L. Wright, E. Aymon, J. de Amici, Hinshaw, Jackson, P. D. Kaita, Keegstra, Lineweaver, Loewenstein, K. Rokke, Tenorio, Boggess, N. W. Cheng, S. Gulkis, Hauser, M. Janssen, Kelsall, T. Mather, Meyer, Moseley, H. Murdock, Shafer, R. Silverberg, Weiss,...
We introduce a method for imaging heterogeneity at and near interfaces in Earth's lowermost mantle with broadband, three‐component seismograms from global seismograph networks. Our approach is based on inverse scattering allows the extraction of pertinent signal large data sets requires few priori assumptions about under study, which makes it complementary to forward modeling selected waveforms. Here we construct generalized radon transform (for heterogeneous, anisotropic elastic media) map...
view Abstract Citations (48) References (20) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Calibration and Systematic Error Analysis for the COBE DMR 4 Year Sky Maps Kogut, A. ; Banday, J. Bennett, C. L. Gorski, K. M. Hinshaw, G. Jackson, P. D. Keegstra, Lineweaver, Smoot, F. Tenorio, Wright, E. The Differential Microwave Radiometers (DMR) instrument aboard Cosmic Background Explorer (CO BE) has mapped full microwave sky to mean sensitivity 26 μK per 7°...
Quantitative relationships between true elastic properties are not always applicable to inverted properties. We use the important example of two-term AVO reflectivity inversion demonstrate this. literature includes many examples equations, and we provide a general relationship convert reflectivities obtained when using these various equations. Conversion should be based on this equation, rather than standard elastic-property relationships. This is immediate importance applying method...
We consider wavelets as a tool to perform variety of tasks in the context analyzing cosmic microwave background (CMB) maps. Using Spherical Haar Wavelets we define position and angular-scale-dependent measure power that can be used assess existence spatial structure. apply planar Daubechies for identification removal points sources from small sections sky Our technique successfully identify virtually all point which are above 3 sigma more than 80% those 1 sigma. discuss trade-offs between...
Gravity gradiometry data are prized for the high frequency information they provide. However, as any other geophysical data, gravity gradient measurements contaminated by high‐frequency noise. Separation of signal from noise is a crucial component processing. The separation can be performed in domain, which usually requires tuning filter parameters at each survey line to obtain optimal results. Because modern generates more than traditional survey, such time‐consuming manual operations not...
view Abstract Citations (49) References (13) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS COBE Differential Microwave Radiometers: Calibration Techniques Bennett, C. L. ; Smoot, G. F. Janssen, M. Gulkis, S. Kogut, A. Hinshaw, Backus, Hauser, Mather, J. Rokke, Tenorio, Weiss, R. Wilkinson, D. T. Wright, E. de Amici, Boggess, N. W. Cheng, Jackson, P. Keegstra, Kelsall, Kummerer, Lineweaver, Moseley, H. Murdock, Santana, Shafer, Silverberg, The spacecraft was...
We present the second part of our approach to high‐resolution imaging deep Earth's interfaces with large volumes broadband, three‐component seismograms. focus on lowermost mantle, also referred as D″ region, but methodology can be applied more generally. The first describes generalized radon transform (GRT) broadband ScS data (comprising main arrival, precursors, and coda). GRT produces “image gathers,” which represent multiple images medium contrasts at same image point near base mantle....