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Computing similarity between piecewise-linear functions [PDF]
Proceedings of the twenty-sixth annual symposium on Computational geometry, 2010 We study the problem of computing the similarity between two piecewise-linear bivariate functions de ned over a common domain, where the surfaces they de ne in 3D|polyhedral terrains|can be transformed vertically by a linear transformation of the third coordinate (scaling and translation).
Pankaj K. Agarwal +4 more
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Current-mode piecewise-linear function generators [PDF]
1996 IEEE International Symposium on Circuits and Systems. Circuits and Systems Connecting the World. ISCAS 96, 2002 We present a systematic design technique for current-mode piecewise-linear (PWL) function generators. It uses two building blocks: a high-resolution current rectifier, and a programmable current amplifier. We show how to arrange these blocks to obtain basic non-linearities from which generic characteristics are built through aggregations.
Delgado Restituto, Manuel +2 more
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Decomposition Polyhedra of Piecewise Linear Functions [PDF]
In this paper we contribute to the frequently studied question of how to decompose a continuous piecewise linear (CPWL) function into a difference of two convex CPWL functions. Every CPWL function has infinitely many such decompositions, but for applications in optimization and neural network theory, it is crucial to find decompositions with as few ...
Marie-Charlotte Brandenburg +2 more
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Two‐step, piecewise‐linear SAR ADC with programmable transfer function
Electronics Letters, 2019 A 7‐bit successive approximation register (SAR) analogue‐to‐digital converter (ADC) with programmable transfer functions is presented. Building upon prior art, a two‐step successive approximation technique is used to implement a piecewise‐linear ...
S. Sengupta, M.L. Johnston
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Usage of Selected Swarm Intelligence Algorithms for Piecewise Linearization
Mathematics, 2022 The paper introduces a new approach to enhance optimization algorithms when solving the piecewise linearization problem of a given function. Eight swarm intelligence algorithms were selected to be experimentally compared.
Nicole Škorupová +2 more
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On Robust Global Error Bounds for a Class of Uncertain Piecewise Linear Inequality Systems
Axioms, 2022 This paper is concerned with the radius of robust global error bounds for an uncertain piecewise linear inequality system where the uncertain data are assumed to be in polytope uncertain sets.
Wen Tan, Xiaole Guo, Xiangkai Sun
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The topological entropy of iterated piecewise affine maps is uncomputable [PDF]
Discrete Mathematics & Theoretical Computer Science, 2001 We show that it is impossible to compute (or even to approximate) the topological entropy of a continuous piecewise affine function in dimension four. The same result holds for saturated linear functions in unbounded dimension.
Pascal Koiran
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Non‐linear activation function approximation using a REMEZ algorithm
IET Circuits, Devices and Systems, 2021 Here a more accurate piecewise approximation (PWA) scheme for non‐linear activation function is proposed. It utilizes a precision‐controlled recursive algorithm to predict a sub‐range; after that, the REMEZ algorithm is used to find the corresponding ...
Samba Raju Chiluveru +2 more
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Numerical simulation of FIV of PTC-cylinder with nonlinear springs at high Reynolds number
Zhongguo Jianchuan Yanjiu, 2022 ObjectiveThis article studies the characteristics of the flow-induced vibration (FIV) of a cylinder with passive turbulence control and nonlinear springs in a wide range of Reynolds numbers in order to use the FIV of the PTC-cylinder to improve the ...
Tianhui FAN +3 more
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Bode Plots Revisited: a Software System for Automated Generation of Piecewise Linear Frequency Response Plots [PDF]
Electronics, 2017 The paper presents an algorithm for automatic generation of piecewise linear Bode plots. The algorithm is complete in the sense it covers for all posible locations of poles and zeros of transfer functions, including unstable poles and poles and zeroes at
Predrag Pejović, Amela Zeković
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