Search Results - piecewise approximation of complex functions

Recurrent Algorithms of Structural Classification Analysis for Complex Organized Information by Dorofeyuk, A. A., Bauman, E. V., Dorofeyuk, Yu. A., Chernyavskii, A. L.

“…For the structural classification analysis of complex organized information, we propose to use recurrent algorithms of stochastic approximation type…”
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Medial Meshes - A Compact and Accurate Representation of Medial Axis Transform by Sun, Feng, Choi, Yi-King, Yu, Yizhou, Wang, Wenping

“… A medial mesh is a 2D simplicial complex coupled with a radius function that provides a piecewise linear approximation to the medial axis…”
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Optimal approximation of piecewise smooth functions using deep ReLU neural networks by Petersen, Philipp, Voigtlaender, Felix

“…) of possibly discontinuous piecewise Cβ functions f:[−12,12]d→R, where the different “smooth regions” of f are separated by C…”
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Optimal Piecewise Linear Function Approximation for GPU-Based Applications by Berjon, Daniel, Gallego, Guillermo, Cuevas, Carlos, Moran, Francisco, Garcia, Narciso

“… Following this idea, we propose a novel, efficient, and practical technique to evaluate complex and continuous functions using a nearly optimal design of two types of piecewise linear approximations…”
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Flex-SFU: Activation Function Acceleration With Nonuniform Piecewise Approximation by Andri, Renzo, Reggiani, Enrico, Cavigelli, Lukas

“…Modern deep neural networks (DNN) increasingly use activation functions with computationally complex operations…”
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Optimal power diagrams via function approximation by Xiao, Yanyang, Chen, Zhonggui, Cao, Juan, Zhang, Yongjie Jessica, Wang, Cheng

“… This is done by variationally optimizing the discontinuous piecewise linear approximation of the given functions over power diagrams…”
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Dual-Channel Multiplier for Piecewise-Polynomial Function Evaluation for Low-Power 3-D Graphics by Ellaithy, Dina M., El-Moursy, Magdy A., Zaki, Amal, Zekry, Abdelhalim

“…A dual-channel multiplier (DCM) for energy efficient second-order piecewise-polynomial function evaluation for 3-D graphics applications is presented in this paper…”
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Piecewise-Linear Approximations of Multidimensional Functions by Misener, R., Floudas, C. A.

“…We develop explicit, piecewise-linear formulations of functions f ( x ):ℝ n ↦ ℝ, n ≤3, that are defined on an orthogonal grid of vertex points…”
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Integrated production optimization of oil fields with pressure and routing constraints: The Urucu field by Codas, Andrés, Campos, Sthener, Camponogara, Eduardo, Gunnerud, Vidar, Sunjerga, Snjezana

“…► Production optimization for oil fields with complex routing degree of freedom. ► Simplified pressure drop models through multidimensional piecewise-linearization…”
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Sharp formulations of nonconvex piecewise linear functions to solve the economic dispatch problem with valve-point effects by Sharifzadeh, Hossein

“…•New mathematical programming techniques to solve the nonconvex ED are proposed.•A new breakpoint assignment method for piecewise linear approximations is presented…”
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Dynamic step selection algorithm for piecewise linear approximation of complex control trajectories by Tan, Liguo, Li, Liyi, Su, Haoxiang, Novikova, S.V., Zhang, Xinbin, Mingaliyev, Z.Z.

“…The paper proposes a method for replacing a complex function used as a target for automatic control of unmanned vehicles with a simplified piecewise linear function, which requires much less computing resources…”
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Approximations of n-dimensional fuzzy numbers by using α − β-knots piecewise linear fuzzy n-cell numbers by Lv, Haojie, Wang, Guixiang, Li, Chengjia

“… However, at present, due to the complex structure of n-dimensional fuzzy numbers, there are few investigations about approximations of n-dimensional fuzzy numbers…”
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Approximation of an Arbitrary Function by a Piecewise Constant Function and Number of Theoretical Separation Stages in A Rectification Tower by Tsirlin, A. M., Balunov, A. I., Vasil’ev, A. M.

“…The problem on the minimum number of constancy portions of the scalar step function approximating an arbitrary bounded function was solved…”
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Rendering piecewise approximations of SDFs through analytic intersections by Pujol, Eduard, Chica, Antonio

“… Computing these for complex models can be expensive, so one popular approach is to prepare an approximation via sampling and interpolation…”
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OSCA: End-to-End Serial Stochastic Computing Neural Acceleration with Fine-Grained Scaling and Piecewise Activation by Hu, Yixuan, Jia, Yikang, Li, Meng, Wang, Yuan, Wang, Runsheng, Huang, Ru

“… quantization error and introduces novel segment units for piecewise approximation of complex nonlinear activation functions…”
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Experimental Investigation into the Exergy Loss of a Ground Heat Pump and its Optimization Based on Approximation of Piecewise Linear Functions by Osintsev, K. V., Alyukov, S. V.

“… in structural elements were calculated. A methodological approach to implementing the exergetic method of thermodynamic analysis has been developed on the basis of novel techniques of approximation of piecewise linear functions…”
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Flex-SFU: Accelerating DNN Activation Functions by Non-Uniform Piecewise Approximation by Reggiani, Enrico, Andri, Renzo, Cavigelli, Lukas

“…Modern DNN workloads increasingly rely on activation functions consisting of computationally complex operations…”
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Improving Neural Network Efficiency Using Piecewise Linear Approximation of Activation Functions by Reddy, Pavan, Gujral, Aditya Sanjay

“…) and its gradient, can be substantial. In this study, we demonstrate that a piecewise linear approximation of the tanh function, utilizing pre-calculated slopes, achieves faster computation without significant degradation in performance…”
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A Universal Approximation Method and Optimized Hardware Architectures for Arithmetic Functions Based on Stochastic Computing by Qin, Zidi, Qiu, Yuou, Zheng, Muhan, Dong, Hongxi, Lu, Zhonghai, Wang, Zhongfeng, Pan, Hongbing

“… In this paper, a novel piecewise approximation method based on Taylor series expansion is proposed for complex arithmetic functions…”
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Distributionally-robust chance-constrained optimization of selective maintenance under uncertain repair duration by Al-Jabouri, Hamzea, Saif, Ahmed, Diallo, Claver, Khatab, Abdelhakim

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