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Journal articles on the topic 'Gradient Estimation'

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1

Yamane, Ikko, Hiroaki Sasaki, and Masashi Sugiyama. "Regularized Multitask Learning for Multidimensional Log-Density Gradient Estimation." Neural Computation 28, no. 7 (2016): 1388–410. http://dx.doi.org/10.1162/neco_a_00844.

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Log-density gradient estimation is a fundamental statistical problem and possesses various practical applications such as clustering and measuring nongaussianity. A naive two-step approach of first estimating the density and then taking its log gradient is unreliable because an accurate density estimate does not necessarily lead to an accurate log-density gradient estimate. To cope with this problem, a method to directly estimate the log-density gradient without density estimation has been explored and demonstrated to work much better than the two-step method. The objective of this letter is t
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Alim, U., T. Möller, and L. Condat. "Gradient Estimation Revitalized." IEEE Transactions on Visualization and Computer Graphics 16, no. 6 (2010): 1495–504. http://dx.doi.org/10.1109/tvcg.2010.160.

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3

Prasad, Adarsh, Arun Sai Suggala, Sivaraman Balakrishnan, and Pradeep Ravikumar. "Robust estimation via robust gradient estimation." Journal of the Royal Statistical Society: Series B (Statistical Methodology) 82, no. 3 (2020): 601–27. http://dx.doi.org/10.1111/rssb.12364.

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4

Vogt, J., E. Sorbalo, M. He, and A. Blagau. "Gradient estimation using configurations of two or three spacecraft." Annales Geophysicae 31, no. 11 (2013): 1913–27. http://dx.doi.org/10.5194/angeo-31-1913-2013.

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Abstract. The forthcoming three-satellite mission Swarm will allow us to investigate plasma processes and phenomena in the upper ionosphere from an in-situ multi-spacecraft perspective. Since with less than four points in space the spatiotemporal ambiguity cannot be resolved fully, analysis tools for estimating spatial gradients, wave vectors, or boundary parameters need to utilise additional information such as geometrical or dynamical constraints. This report deals with gradient estimation where the planar component is constructed using instantaneous three-point observations or, for quasi-st
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5

Baxter, J., P. L. Bartlett, and L. Weaver. "Experiments with Infinite-Horizon, Policy-Gradient Estimation." Journal of Artificial Intelligence Research 15 (November 1, 2001): 351–81. http://dx.doi.org/10.1613/jair.807.

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In this paper, we present algorithms that perform gradient ascent of the average reward in a partially observable Markov decision process (POMDP). These algorithms are based on GPOMDP, an algorithm introduced in a companion paper (Baxter & Bartlett, this volume), which computes biased estimates of the performance gradient in POMDPs. The algorithm's chief advantages are that it uses only one free parameter beta, which has a natural interpretation in terms of bias-variance trade-off, it requires no knowledge of the underlying state, and it can be applied to infinite state, control and observ
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Jagabathula, Srikanth, Lakshminarayanan Subramanian, and Ashwin Venkataraman. "A Conditional Gradient Approach for Nonparametric Estimation of Mixing Distributions." Management Science 66, no. 8 (2020): 3635–56. http://dx.doi.org/10.1287/mnsc.2019.3373.

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Mixture models are versatile tools that are used extensively in many fields, including operations, marketing, and econometrics. The main challenge in estimating mixture models is that the mixing distribution is often unknown, and imposing a priori parametric assumptions can lead to model misspecification issues. In this paper, we propose a new methodology for nonparametric estimation of the mixing distribution of a mixture of logit models. We formulate the likelihood-based estimation problem as a constrained convex program and apply the conditional gradient (also known as Frank–Wolfe) algorith
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7

Baxter, J., and P. L. Bartlett. "Infinite-Horizon Policy-Gradient Estimation." Journal of Artificial Intelligence Research 15 (November 1, 2001): 319–50. http://dx.doi.org/10.1613/jair.806.

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Gradient-based approaches to direct policy search in reinforcement learning have received much recent attention as a means to solve problems of partial observability and to avoid some of the problems associated with policy degradation in value-function methods. In this paper we introduce GPOMDP, a simulation-based algorithm for generating a biased estimate of the gradient of the average reward in Partially Observable Markov Decision Processes POMDPs controlled by parameterized stochastic policies. A similar algorithm was proposed by (Kimura et al. 1995). The algorithm's chief advantages are th
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8

Hua, Binh-Son, Adrien Gruson, Derek Nowrouzezahrai, and Toshiya Hachisuka. "Gradient-Domain Photon Density Estimation." Computer Graphics Forum 36, no. 2 (2017): 31–38. http://dx.doi.org/10.1111/cgf.13104.

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9

Acquaviva, Roberto, Stefano Mangione, and Giovanni Garbo. "Image-based MRI gradient estimation." Magnetic Resonance Imaging 49 (June 2018): 138–44. http://dx.doi.org/10.1016/j.mri.2017.12.028.

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10

Mehdi Fateh, Mohammad, Siamak Azargoshasb, and Saeed Khorashadizadeh. "Model-free discrete control for robot manipulators using a fuzzy estimator." COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering 33, no. 3 (2014): 1051–67. http://dx.doi.org/10.1108/compel-05-2013-0185.

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Purpose – Discrete control of robot manipulators with uncertain model is the purpose of this paper. Design/methodology/approach – The proposed control design is model-free by employing an adaptive fuzzy estimator in the controller for the estimation of uncertainty as unknown function. An adaptive mechanism is proposed in order to overcome uncertainties. Parameters of the fuzzy estimator are adapted to minimize the estimation error using a gradient descent algorithm. Findings – The proposed model-free discrete control is robust against all uncertainties associated with the model of robotic syst
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11

Hahn, Ute, and Dietrich Stoyan. "Unbiased stereological estimation of the surface area of gradient surface processes." Advances in Applied Probability 30, no. 04 (1998): 904–20. http://dx.doi.org/10.1017/s0001867800008715.

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An unbiased stereological estimator for surface area density is derived for gradient surface processes which form a particular class of non-stationary spatial surface processes. Vertical planar sections are used for the estimation. The variance of the estimator is studied and found to be infinite for certain types of surface processes. A modification of the estimator is presented which exhibits finite variance.
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12

Hahn, Ute, and Dietrich Stoyan. "Unbiased stereological estimation of the surface area of gradient surface processes." Advances in Applied Probability 30, no. 4 (1998): 904–20. http://dx.doi.org/10.1239/aap/1035228199.

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An unbiased stereological estimator for surface area density is derived for gradient surface processes which form a particular class of non-stationary spatial surface processes. Vertical planar sections are used for the estimation. The variance of the estimator is studied and found to be infinite for certain types of surface processes. A modification of the estimator is presented which exhibits finite variance.
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13

Sweke, Ryan, Frederik Wilde, Johannes Jakob Meyer, et al. "Stochastic gradient descent for hybrid quantum-classical optimization." Quantum 4 (August 31, 2020): 314. http://dx.doi.org/10.22331/q-2020-08-31-314.

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Within the context of hybrid quantum-classical optimization, gradient descent based optimizers typically require the evaluation of expectation values with respect to the outcome of parameterized quantum circuits. In this work, we explore the consequences of the prior observation that estimation of these quantities on quantum hardware results in a form of stochastic gradient descent optimization. We formalize this notion, which allows us to show that in many relevant cases, including VQE, QAOA and certain quantum classifiers, estimating expectation values with k measurement outcomes results in
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14

Gruson, Adrien, Binh-Son Hua, Nicolas Vibert, Derek Nowrouzezahrai, and Toshiya Hachisuka. "Gradient-domain volumetric photon density estimation." ACM Transactions on Graphics 37, no. 4 (2018): 1–13. http://dx.doi.org/10.1145/3197517.3201363.

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15

Wada, Masahiro, and Hirohisa Yamaguchi. "Iterative Gradient Method for Movement Estimation." Systems and Computers in Japan 17, no. 2 (1986): 79–88. http://dx.doi.org/10.1002/scj.4690170209.

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16

Tian, Gang, and Zhouping Xin. "Gradient estimation on Navier–Stokes equations." Communications in Analysis and Geometry 7, no. 2 (1999): 221–57. http://dx.doi.org/10.4310/cag.1999.v7.n2.a1.

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17

Kroupová, Monika, Ivana Horová, and Jan Koláček. "Kernel estimation of regression function gradient." Communications in Statistics - Theory and Methods 49, no. 1 (2018): 135–51. http://dx.doi.org/10.1080/03610926.2018.1532518.

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18

Senel, H. G. "Gradient Estimation Using Wide Support Operators." IEEE Transactions on Image Processing 18, no. 4 (2009): 867–78. http://dx.doi.org/10.1109/tip.2008.2011758.

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19

Wei Hu, Jianru Xue, and Nanning Zheng. "PSF Estimation via Gradient Domain Correlation." IEEE Transactions on Image Processing 21, no. 1 (2012): 386–92. http://dx.doi.org/10.1109/tip.2011.2160073.

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20

Brekelmans, R. C. M., L. T. Driessen, H. J. M. Hamers, and D. den Hertog. "Gradient Estimation Schemes for Noisy Functions." Journal of Optimization Theory and Applications 126, no. 3 (2005): 529–51. http://dx.doi.org/10.1007/s10957-005-5496-2.

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21

Brekelmans, R. C. M., L. T. Driessen, H. J. M. Hamers, and D. den Hertog. "Gradient Estimation Using Lagrange Interpolation Polynomials." Journal of Optimization Theory and Applications 136, no. 3 (2008): 341–57. http://dx.doi.org/10.1007/s10957-007-9315-9.

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22

Skifstad, Kurt, and Ramesh Jain. "Range estimation from Intensity Gradient Analysis." Machine Vision and Applications 2, no. 2 (1989): 81–102. http://dx.doi.org/10.1007/bf01212370.

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23

Suknev, S. V., and M. D. Novopashin. "Gradient approach to rock strength estimation." Journal of Mining Science 35, no. 4 (1999): 381–86. http://dx.doi.org/10.1007/bf02562468.

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24

Nisky, Ilana, Pierre Baraduc, and Amir Karniel. "Proximodistal Gradient in the Perception of Delayed Stiffness." Journal of Neurophysiology 103, no. 6 (2010): 3017–26. http://dx.doi.org/10.1152/jn.00939.2009.

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Proximal and distal muscles are different in size, maximum force, mechanical action, and neuromuscular control. In the current study we explore the perception of delayed stiffness when probing is executed using movement of different joints. We found a proximodistal gradient in the amount of underestimation of delayed stiffness in the transition between probing with shoulder, elbow, and wrist joints. Moreover, there was a similar gradient in the optimal weighting between estimation of stiffness and the inverse of estimation of compliance that predicted the perception of the subjects. These grad
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25

Tashlinskii, A. G., P. V. Smirnov, and M. G. Tsaryov. "PIXEL-BY-PIXEL ESTIMATION OF SCENE MOTION IN VIDEO." ISPRS - International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences XLII-2/W4 (May 10, 2017): 61–65. http://dx.doi.org/10.5194/isprs-archives-xlii-2-w4-61-2017.

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The paper considers the effectiveness of motion estimation in video using pixel-by-pixel recurrent algorithms. The algorithms use stochastic gradient decent to find inter-frame shifts of all pixels of a frame. These vectors form shift vectors’ field. As estimated parameters of the vectors the paper studies their projections and polar parameters. It considers two methods for estimating shift vectors’ field. The first method uses stochastic gradient descent algorithm to sequentially process all nodes of the image row-by-row. It processes each row bidirectionally i.e. from the left to the right a
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26

Liu, Zijian, Chunbo Luo, Peng Ren, Tingwei Wang, and Geyong Min. "Population based optimization via differential evolution and adaptive fractional gradient descent." Filomat 34, no. 15 (2020): 5173–85. http://dx.doi.org/10.2298/fil2015173l.

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We propose a differential evolution algorithm based on adaptive fractional gradient descent (DE-FGD) to address the defects of existing bio-inspired algorithms, such as slow convergence speed and local optimum. The crossover and selection processes of the differential evolution algorithm are discarded and the adaptive fractional gradients are adopted to enhance the global searching capability. For the benchmark functions, our proposed algorithm Specifically, our method has higher searching accuracy than several state of the art bio-inspired algorithms. Furthermore, we apply our method to speci
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27

Gong, Tieliang, Quanhan Xi, and Chen Xu. "Robust Gradient-Based Markov Subsampling." Proceedings of the AAAI Conference on Artificial Intelligence 34, no. 04 (2020): 4004–11. http://dx.doi.org/10.1609/aaai.v34i04.5817.

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Subsampling is a widely used and effective method to deal with the challenges brought by big data. Most subsampling procedures are designed based on the importance sampling framework, where samples with high importance measures are given corresponding sampling probabilities. However, in the highly noisy case, these samples may cause an unstable estimator which could lead to a misleading result. To tackle this issue, we propose a gradient-based Markov subsampling (GMS) algorithm to achieve robust estimation. The core idea is to construct a subset which allows us to conservatively correct a crud
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28

Wang, Beijia, Hongliang Wang, Lei Wu, Liuliu Cai, Dawei Pi, and Erlie Wang. "Truck mass estimation method based on the on-board sensor." Proceedings of the Institution of Mechanical Engineers, Part D: Journal of Automobile Engineering 234, no. 10-11 (2020): 2429–43. http://dx.doi.org/10.1177/0954407020905151.

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Vehicle mass estimation is the key technology to improve vehicle stability. However, the existing mass estimation accuracy is easily affected by the change of road gradient, and there are few studies on the mass estimation method of the light truck. Aiming at this problem, this paper uses sensors to measure road gradient and rear suspension deformation and proposes a sensor-based vehicle mass estimation algorithm. First, factors that affect the mass estimation are analyzed, road gradient error correction method and mass estimation error correction method are established. Besides, the suspensio
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Ma, Shiqing, Ping Yang, Boheng Lai, et al. "Adaptive Gradient Estimation Stochastic Parallel Gradient Descent Algorithm for Laser Beam Cleanup." Photonics 8, no. 5 (2021): 165. http://dx.doi.org/10.3390/photonics8050165.

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For a high-power slab solid-state laser, obtaining high output power and high output beam quality are the most important indicators. Adaptive optics systems can significantly improve beam qualities by compensating for the phase distortions of the laser beams. In this paper, we developed an improved algorithm called Adaptive Gradient Estimation Stochastic Parallel Gradient Descent (AGESPGD) algorithm for beam cleanup of a solid-state laser. A second-order gradient of the search point was introduced to modify the gradient estimation, and it was introduced with the adaptive gain coefficient metho
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Caporin, Massimiliano, Riccardo (Jack) Lucchetti, and Giulio Palomba. "Analytical Gradients of Dynamic Conditional Correlation Models." Journal of Risk and Financial Management 13, no. 3 (2020): 49. http://dx.doi.org/10.3390/jrfm13030049.

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We provide the analytical gradient of the full model likelihood for the Dynamic Conditional Correlation (DCC) specification by Engle (2002), the generalised version by Cappiello et al. (2006), and of the cDCC model by Aielli(2013). We discuss how the gradient might be further extended by introducing elements related to the conditional variance parameters, and discuss the issue arising from the estimation of constrained and/or reparametrised versions of the model. A computational simulation compares analytical versus numerical gradients, with a view to parameter estimation; we find that analyti
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Nelson, J. Bradley. "Calculation of the magnetic gradient tensor from total field gradient measurements and its application to geophysical interpretation." GEOPHYSICS 53, no. 7 (1988): 957–66. http://dx.doi.org/10.1190/1.1442532.

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The very low inherent noise levels of superconducting quantum interference device (SQUID) sensors have led to proposals for the use of airborne SQUID magnetic gradiometers as geophysical interpretation tools. The quantity measured by such systems will be the gradient tensor, the spatial rate of change of the vector components of the magnetic field. By contrast, existing airborne gradiometers measure the spatial rate of change of the magnitude of the total field. This work describes a technique whereby the gradient tensor can be calculated from measurements of either the vertical or horizontal
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32

Chen, Jinsong, and Michael E. Glinsky. "Stochastic inversion of seismic PP and PS data for reservoir parameter estimation." GEOPHYSICS 79, no. 6 (2014): R233—R246. http://dx.doi.org/10.1190/geo2013-0456.1.

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We have investigated the value of isotropic seismic converted-wave (i.e., PS) data for reservoir parameter estimation using stochastic approaches based on a floating-grain rock-physics model. We first performed statistical analysis on a simple two-layer model built on actual borehole logs and compared the relative value of PS data versus amplitude-variation-with-offset (AVO) gradient data for estimating the floating-grain fraction. We found that PS data were significantly more informative than AVO gradient data in terms of likelihood functions, and the combination of PS and AVO gradient data t
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33

Bazylev, D. N., A. A. Pyrkin, and A. A. Bobtsov. "Adaptive Observer of Rotor Position and Flux for Salient Synchronous Motor." Mekhatronika, Avtomatizatsiya, Upravlenie 20, no. 2 (2019): 114–21. http://dx.doi.org/10.17587/mau.20.114-121.

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An algorithm of adaptive estimation of rotor flux and angular position for the salient synchronous motor with permanent magnets is presented. A new nonlinear parameterization of the dynamic motor model is proposed. Due to this parameterization the problem of position estimation is translated to the task of identification of unknown constant parameters. During the synthesis of estimation algorithm the currents and voltages of the stator windings, as well as the rotor speed, are assumed to be known signals. Two variants of the adaptive observer based on the standard gradient estimator and the al
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34

Asatryan, D. G. "IMAGE BLUR ESTIMATION USING GRADIENT FIELD ANALYSIS." Computer Optics 41, no. 6 (2017): 957–62. http://dx.doi.org/10.18287/2412-6179-2017-41-6-957-962.

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35

Zhao, Tingting, Hirotaka Hachiya, Gang Niu, and Masashi Sugiyama. "Analysis and improvement of policy gradient estimation." Neural Networks 26 (February 2012): 118–29. http://dx.doi.org/10.1016/j.neunet.2011.09.005.

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36

ZHAO, Zhong, Nannan MA, Lideng PAN, Ning XU, and Kang SUN. "Direct Adaptive Control Based on Gradient Estimation." Chinese Journal of Chemical Engineering 16, no. 5 (2008): 752–61. http://dx.doi.org/10.1016/s1004-9541(08)60151-2.

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37

Melchers, Robert E., and Mukshed Ahammed. "Gradient estimation for applied Monte Carlo analyses." Reliability Engineering & System Safety 78, no. 3 (2002): 283–88. http://dx.doi.org/10.1016/s0951-8320(02)00172-2.

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38

Glynn, Peter W., and Pierre L'ecuyer. "Likelihood ratio gradient estimation for stochastic recursions." Advances in Applied Probability 27, no. 04 (1995): 1019–53. http://dx.doi.org/10.1017/s0001867800047789.

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In this paper, we develop mathematical machinery for verifying that a broad class of general state space Markov chains reacts smoothly to certain types of perturbations in the underlying transition structure. Our main result provides conditions under which the stationary probability measure of an ergodic Harris-recurrent Markov chain is differentiable in a certain strong sense. The approach is based on likelihood ratio ‘change-of-measure' arguments, and leads directly to a ‘likelihood ratio gradient estimator' that can be computed numerically.
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Glynn, Peter W., and Pierre L'ecuyer. "Likelihood ratio gradient estimation for stochastic recursions." Advances in Applied Probability 27, no. 4 (1995): 1019–53. http://dx.doi.org/10.2307/1427933.

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In this paper, we develop mathematical machinery for verifying that a broad class of general state space Markov chains reacts smoothly to certain types of perturbations in the underlying transition structure. Our main result provides conditions under which the stationary probability measure of an ergodic Harris-recurrent Markov chain is differentiable in a certain strong sense. The approach is based on likelihood ratio ‘change-of-measure' arguments, and leads directly to a ‘likelihood ratio gradient estimator' that can be computed numerically.
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40

Patelli, E., and H. J. Pradlwarter. "Monte Carlo gradient estimation in high dimensions." International Journal for Numerical Methods in Engineering 81, no. 2 (2009): 172–88. http://dx.doi.org/10.1002/nme.2687.

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41

Shi, Lei, and Ding-Xuan Zhou. "Normal estimation on manifolds by gradient learning." Numerical Linear Algebra with Applications 18, no. 2 (2010): 249–59. http://dx.doi.org/10.1002/nla.722.

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42

Vaughan, Timothy S. "Experimental design for response surface gradient estimation." Communications in Statistics - Theory and Methods 22, no. 6 (1993): 1535–55. http://dx.doi.org/10.1080/03610929308831102.

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43

Keller, Y., and A. Averbuch. "Fast Motion Estimation Using Bidirectional Gradient Methods." IEEE Transactions on Image Processing 13, no. 8 (2004): 1042–54. http://dx.doi.org/10.1109/tip.2004.823823.

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44

Glynn, Peter W. "Likelihood ratio gradient estimation for stochastic systems." Communications of the ACM 33, no. 10 (1990): 75–84. http://dx.doi.org/10.1145/84537.84552.

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45

Liu, Q., A. Pruteanu, and S. Dulman. "Gradient-Based Distance Estimation for Spatial Computers." Computer Journal 56, no. 12 (2013): 1469–99. http://dx.doi.org/10.1093/comjnl/bxt124.

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46

Pronzato, L., A. Zhigljavsky, and E. Bukina. "Estimation of Spectral Bounds in Gradient Algorithms." Acta Applicandae Mathematicae 127, no. 1 (2012): 117–36. http://dx.doi.org/10.1007/s10440-012-9794-z.

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47

Chang, Te Hsing, Yuan Han Tang, and Ning Chien Tung. "A Study for Piping Phenomenon of the Different Graded Sands on Slope in Mining Engineering of Civil Construction." Advanced Materials Research 577 (October 2012): 171–76. http://dx.doi.org/10.4028/www.scientific.net/amr.577.171.

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In this study, the slope piping experiment selected 6 different sands in mining engineering of civil construction. In addition to discussing the physical parameters of the graded sands in mining engineering, the piping destruction parameters of different slopes were obtained from the experiment. When piping occurs, we can use numerical model to get the hydraulic gradient value at the failure point. The difference between the theoretical estimation and the numerical model was compared and we found that different particle size distribution caused the main difference. The particle size parameter
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48

Tiitta, M., T. Savolainen, H. Olkkonen, and T. Kanko. "Wood Moisture Gradient Analysis by Electrical Impedance Spectroscopy." Holzforschung 53, no. 1 (1999): 68–76. http://dx.doi.org/10.1515/hf.1999.012.

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Summary An electrical impedance frequency spectrum (20Hz to 1MHz) was measured in wood specimens with uniform, absorption and desorption transverse moisture content (MC) gradient. Parallel plate single sided capacitive and conductive electrodes were used. Capacitance, conductance and impedance locus analyses were included in the study, the desorption and absorption moisture gradients (MG) were estimated using frequency based analysis. This study suggests that the transverse MG can be estimated using impedance spectroscopy analysis. Both used electrode types and all the studied methods gave sim
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49

Amari, Shun-ichi. "Natural Gradient Works Efficiently in Learning." Neural Computation 10, no. 2 (1998): 251–76. http://dx.doi.org/10.1162/089976698300017746.

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When a parameter space has a certain underlying structure, the ordinary gradient of a function does not represent its steepest direction, but the natural gradient does. Information geometry is used for calculating the natural gradients in the parameter space of perceptrons, the space of matrices (for blind source separation), and the space of linear dynamical systems (for blind source deconvolution). The dynamical behavior of natural gradient online learning is analyzed and is proved to be Fisher efficient, implying that it has asymptotically the same performance as the optimal batch estimatio
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50

Cameron, Scott A., Hans C. Eggers, and Steve Kroon. "Stochastic Gradient Annealed Importance Sampling for Efficient Online Marginal Likelihood Estimation." Entropy 21, no. 11 (2019): 1109. http://dx.doi.org/10.3390/e21111109.

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We consider estimating the marginal likelihood in settings with independent and identically distributed (i.i.d.) data. We propose estimating the predictive distributions in a sequential factorization of the marginal likelihood in such settings by using stochastic gradient Markov Chain Monte Carlo techniques. This approach is far more efficient than traditional marginal likelihood estimation techniques such as nested sampling and annealed importance sampling due to its use of mini-batches to approximate the likelihood. Stability of the estimates is provided by an adaptive annealing schedule. Th
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