@article {4780, title = {Deep Learning for Seismic Inverse Problems: Toward the Acceleration of Geophysical Analysis Workflows}, journal = {IEEE Signal Processing Magazine}, volume = {38}, year = {2021}, month = {03/2021}, pages = {89 - 119}, abstract = {

Seismic inversion is a fundamental tool in geophysical analysis, providing a window into Earth. In particular, it enables the reconstruction of large-scale subsurface Earth models for hydrocarbon exploration, mining, earthquake analysis, shallow hazard assessment, and other geophysical tasks.

}, issn = {1053-5888}, doi = {10.1109/MSP.2020.3037429}, url = {https://ieeexplore.ieee.org/abstract/document/9363496}, author = {Amir Adler and Araya-Polo, Mauricio and Tomaso Poggio} } @article {4262, title = {Blind Constant Modulus Multiuser Detection via Low-Rank Approximation}, journal = {IEEE Signal Processing Letters}, year = {2019}, month = {01/2019}, pages = {1 - 1}, abstract = {

We present a novel convex-optimization-based solution to blind linear multiuser detection in direct-sequence CDMA systems. The solution is based on a convex low-rank approximation of the linearly constrained constant modulus cost function, thus guaranteeing its global minimization. Further, it can be cast as a semidefinite program, implying that it can be solved using interior-point techniques with polynomial time complexity. The solution is parameter free and is shown to be superior to existing solutions in terms of output SINR and BER, especially for a small number of samples.

}, issn = {1070-9908}, doi = {10.1109/LSP.9710.1109/LSP.2019.2918001}, url = {https://ieeexplore.ieee.org/document/8718546}, author = {Amir Adler and Wax, Mati} } @article {4296, title = {Brain Signals Localization by Alternating Projections}, year = {2019}, month = {08/2019}, abstract = {

We present a novel solution to the problem of localization of brain signals. The solution is sequential and iterative, and is based on minimizing the least-squares (LS) criterion by the alternating projection (AP) algorithm, well known in the context of array signal processing. Unlike existing solutions belonging to the linearly constrained minimum variance (LCMV) and to the multiple-signal classification (MUSIC) families, the algorithm is applicable even in the case of a single sample and in the case of synchronous sources. The performance of the solution is demonstrated via simulations.

}, author = {Amir Adler and Mati Wax and Pantazis, Dimitrios} } @article {4110, title = {Constant modulus algorithms via low-rank approximation}, journal = {Signal Processing}, volume = {160}, year = {2019}, month = {07/2019}, pages = {263 - 270}, abstract = {

We present a novel convex-optimization-based approach to the solutions of a family of problems involving constant modulus signals. The family of problems includes the constant modulus and the constrained constant modulus, as well as the modified constant modulus and the constrained modified constant modulus. These solutions are shown to constitute semidefinite programs (SDP), thus enabling efficient interior-point methods with polynomial time complexity. The performance\  of the proposed solutions, demonstrated in several simulated experiments for the task of blind beamforming, is shown to be superior to existing methods.

}, issn = {01651684}, doi = {10.1016/j.sigpro.2019.02.007}, url = {https://linkinghub.elsevier.com/retrieve/pii/S0165168419300568}, author = {Amir Adler and Wax, Mati} } @conference {4242, title = {Deep Recurrent Architectures for Seismic Tomography}, booktitle = {81st EAGE Conference and Exhibition 2019}, year = {2019}, month = {06/2019}, abstract = {

This paper introduces novel deep recurrent neural network architectures for Velocity Model Building (VMB), which is beyond what Araya-Polo et al 2018 pioneered with the Machine Learning-based seismic tomography built with convolutional non-recurrent neural network. Our investigation includes the utilization of basic recurrent neural network (RNN) cells, as well as Long Short Term Memory (LSTM) and Gated Recurrent Unit (GRU) cells. Performance evaluation reveals that salt bodies are consistently predicted more accurately by GRU and LSTM-based architectures, as compared to non-recurrent architectures. The results take us a step closer to the final goal of a reliable fully Machine Learning-based tomography from pre-stack data, which when achieved will reduce the VMB turnaround from weeks to days.

}, author = {Amir Adler and Mauricio Araya-Polo and Tomaso Poggio} } @conference {4263, title = {Direct Localization by Partly Calibrated Arrays: A Relaxed Maximum Likelihood Solution}, booktitle = {27th European Signal Processing Conference, EUSIPCO 2019}, year = {2019}, month = {07/2019}, address = {A Coruna, Spain}, abstract = {

We present a novel relaxed maximum likelihood solution to the problem of direct localization of multiple narrowband\  sources by partly calibrated arrays, i.e., arrays composed of\  fully calibrated subarrays yet lacking\  inter-array calibration. The proposed solution is based on eliminating analytically all the nuisance parameters in the problem, thus reducing the likelihood function to a maximization problem involving only the location of the sources.\  The performance of the solution is demonstrated via simulations.

}, url = {http://eusipco2019.org/technical-program}, author = {Amir Adler and Mati Wax} } @inbook {4198, title = {Fast and Accurate Seismic Tomography via Deep Learning}, booktitle = {Deep Learning: Algorithms and Applications}, year = {2019}, publisher = {SPRINGER-VERLAG}, organization = {SPRINGER-VERLAG}, author = {Mauricio Araya-Polo and Amir Adler and Stuart Farris and Joseph Jennings} } @inbook {4004, title = {Compressed Learning for Image Classification: A Deep Neural Network Approach}, booktitle = {Handbook of Numerical Analysis}, volume = {19}, year = {2018}, month = {10/2018}, pages = {3 - 17}, publisher = {Elsevier}, organization = {Elsevier}, abstract = {

Compressed learning (CL) is a joint signal processing and machine learning framework for inference from a signal, using a small number of measurements obtained by a linear projection. In this chapter, we review this concept of compressed leaning, which suggests that learning directly in the compressed domain is possible, and with good performance. We experimentally show that the classification accuracy, using an efficient classifier in the compressed domain, can be quite close to the accuracy obtained when operating directly on the original data. Using convolutional neural network for the image classification, we examine the performance of different linear sensing schemes for the data acquisition stage, such as random sensing and PCA projection. Then, we present an end-to-end deep learning approach for CL, in which a network composed of fully connected layers followed by convolutional ones, performs the linear sensing and the nonlinear inference stages simultaneously. During the training phase, both the sensing matrix and the nonlinear inference operator are jointly optimized, leading to a suitable sensing matrix and better performance for the overall task of image classification in the compressed domain. The performance of the proposed approach is demonstrated using the MNIST and CIFAR-10 datasets.

Full text available online - https://books.google.com/books?hl=en\&lr=\&id=zDx4DwAAQBAJ\&oi=fnd\&pg=PA3\&ots=vxCX2Ddl0f\&sig=RNZB40wA-2EFLjOpkazg8cnWyYo$\#$v=onepage\&q\&f=false

}, keywords = {Compressed learning, Compressed sensing, deep learning, Neural Networks, sparse coding, Sparse representation}, isbn = {9780444642059}, issn = {15708659}, doi = {10.1016/bs.hna.2018.08.002}, url = {https://linkinghub.elsevier.com/retrieve/pii/S1570865918300024}, author = {Zisselman, E. and Amir Adler and Elad, M.} } @article {3407, title = {Constant Modulus Algorithms via Low-Rank Approximation}, year = {2018}, month = {04/2018}, abstract = {

We present a novel convex-optimization-based approach to the solutions of a family of problems involving constant modulus signals. The family of problems includes the constant modulus and the constrained constant modulus, as well as the modified constant modulus and the constrained modified constant modulus. The usefulness of the proposed solutions is demonstrated for the tasks of blind beamforming and blind multiuser detection. The performance of these solutions, as we demonstrate by simulated data, is superior to existing methods.

}, keywords = {Constant modulus, convex optimization, trace norm}, author = {Amir Adler and Mati Wax} } @conference {4005, title = {Constant Modulus Beamforming Via Low-Rank Approximation}, booktitle = {2018 IEEE Statistical Signal Processing Workshop (SSP)}, year = {2018}, address = {Freiburg im Breisgau, Germany}, abstract = {

We present novel convex-optimization-based solutions to the problem of blind beamforming of constant modulus signals, and to the related problem of linearly constrained blind beamforming of constant modulus signals. These solutions are based on a low-rank approximation, ensure global optimality and are parameter free, namely, do not contain any tuneable parameters and do not require any a-priori parameter settings. The proposed approach outperforms state-of-the-art both in terms of the number of required samples for convergence, and in terms of the beamformer output SINR.

}, isbn = {978-1-5386-1571-3}, doi = {10.1109/SSP.2018.8450799}, url = {https://ieeexplore.ieee.org/document/8450799/}, author = {Amir Adler and Mati Wax} } @article {3269, title = {Deep-learning tomography}, journal = {The Leading Edge}, volume = {37}, year = {2018}, month = {01/2018}, pages = {58 - 66}, abstract = {

Velocity model building (VMB) is a key step in hydrocarbon exploration; The VMB main product is an initial model of the subsurface that is subsequently used in seismic imaging and interpretation workflows. Reflection or refraction Tomography and full waveform inversion (FWI) are the most commonly used techniques in VMB. On one hand, Tomography is a time-consuming activity that relies on successive updates of highly human-curated analysis of gathers. On the other hand, FWI is very computationally demanding with no guarantees of global convergence.

We propose and implement a novel concept that bypasses these demanding steps, directly producing an accurate gridding or layered velocity model from shot gathers. Our approach relies on training deep neural networks; the resulting predictive model maps relationships between the data space and the final output (particularly, the presence of high velocity segments that might indicate salt formations). In term of time, the training task takes a few hours for 2D data, but the inference step (predicting a model from previously unseen data) takes only seconds.

The promising results shown here for synthetic 2D data demonstrate a new way of using seismic data and suggests fast turnaround of workflows that now make use of machine learning approaches to identify key structures in the subsurface.

}, keywords = {algorithm, full waveform inversion, Neural Networks, NMO, tomography Read More: https://library.seg.org/doi/abs/10.1190/tle37010058.1}, issn = {1070-485X}, doi = {10.1190/tle37010058.1}, url = {https://library.seg.org/doi/10.1190/tle37010058.1}, author = {Mauricio Araya-Polo and Joseph Jennings and Amir Adler and Dahlke, Taylor} }