Sadataka Furui
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The organizations/institutes from the scholar's latest article
Previous Organizations / Institutes
The organizations / institutes from the scholar's other articles in the past ten years
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Sadataka Furui has a total of 8 co-authors. Here are the top co-authors by number of shared publications:
- Hideo Nakajima
Department of Information Systems Science Utsunomiya University 321-8585 Utsunomiya Japan
20 shared publications - Serge Dos Santos
INSA Centre Val de Loire, IBraiN U1253 Inserm-Tours University,Blois,France
8 shared publications Shohei Niiya
Graduate School, Teikyo University, 1-1 Toyosatodai, Utsunomiya 320-8551, Japan
2 shared publicationsTomoyuki Takano
2 shared publications- Bilal Masud
Centre For High Energy Physics University of the Punjab University Lahore-54590 Pakistan
1 shared publication - Hideo Nakajima
The Institute of Scientific and Industrial Research, Osaka University
1 shared publication
Latest Publications
- Open AccessOn the Quadratic Phase Quaternion Domain Fourier Transform and on the Clifford algebra of $R^{3,1}$We study application of the Clifford algebra and the Grassmann algebra to image recognitions in $(3+1)D$ using quaternions. Following S.L.Adler, we construct a quaternion-valued wave function model with fermions and bosons of equal degrees of freedom, similar to Cartan's supersymmetric model. The Clifford algebra ${\mathcal A}_{3,1}$ is compared with ${\mathcal A}_{2,1}$ and the model applied to the $(2+1)D$ non-destructive testing is extended. The fixed point lattice actions are calculated for 7 paths in $(3+1)D$ space with lengths less than or equal to 8 lattice units. Comparison with the quaternion time approach of Ariel, quaternion Fourier transform of Hitzer and the tensor renormalization group approach to classical lattice models are also discussed.Open AccessOn the Quadratic Phase Quaternion Domain Fourier Transform and on the Clifford algebra of $R^{3,1}$We study application of the Clifford algebra and the Grassmann algebra to image recognitions in $(3+1)D$ using quaternions. Following S.L.Adler, we construct a quaternion-valued wave function model with fermions and bosons of equal degrees of freedom, similar to Cartan's supersymmetric model. The Clifford algebra ${\mathcal A}_{3,1}$ is compared with ${\mathcal A}_{2,1}$ and the model applied to the $(2+1)D$ non-destructive testing is extended. The fixed point lattice actions are calculated for 7 paths in $(3+1)D$ space with lengths less than or equal to 8 lattice units. Comparison with the quaternion time approach of Ariel, quaternion Fourier transform of Hitzer and the tensor renormalization group approach to classical lattice models are also discussed.
- 16 February 2023
- Published by Springer Nature in Transactions of the Indian National Academy of Engineering
- Vol. 8 (1) , 183-199
Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
- 16 February 2023
- Published by Springer Nature in Transactions of the Indian National Academy of Engineering
- Vol. 8 (1) , 183-199
Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
- Open Access
Clifford Fourier Transforms in (2+1)D Lattice Simulations of Soliton Propagations
Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weyl fermion-sea is analyzed. We assume materials are filled with Weyl spinors located on $256\times 256$ 2D lattice points, which are expressed by quaternions ${\bf H}$. The topology of solitonic phonon propagation is defined by modifying fixed point actions of 4D Quantum Chromo Dynamics action to (2+1)D action, replacing Dirac fermions by Weyl fermions, and changing the electric charge current flow to the energy flow. We consider $A$ type loops whose path are on a 2D plane, and $B$ type loops which contain two parallel links that connect two 2D plane on different time slices. The length of loops are restricted to be less than or equal to 8 lattice units. At the moment spatial lattice unit and time lattice unit are same. They can be chosen arbitrarily when one compares hysteresis effects with experimental data. Using the quaternion expression of Porteous, we calculate the plaquette part of loop actions and the link part of loop actions. Link actions of $A$ type loops cancel with each other, but those of $B$ type loops depends on whether the spin rotation is clockwise or that is counterclockwise. In the present work we consider average of clockwise rotating and counterclockwise rotating loop contributions.Open AccessClifford Fourier Transforms in (2+1)D Lattice Simulations of Soliton Propagations
Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weyl fermion-sea is analyzed. We assume materials are filled with Weyl spinors located on $256\times 256$ 2D lattice points, which are expressed by quaternions ${\bf H}$. The topology of solitonic phonon propagation is defined by modifying fixed point actions of 4D Quantum Chromo Dynamics action to (2+1)D action, replacing Dirac fermions by Weyl fermions, and changing the electric charge current flow to the energy flow. We consider $A$ type loops whose path are on a 2D plane, and $B$ type loops which contain two parallel links that connect two 2D plane on different time slices. The length of loops are restricted to be less than or equal to 8 lattice units. At the moment spatial lattice unit and time lattice unit are same. They can be chosen arbitrarily when one compares hysteresis effects with experimental data. Using the quaternion expression of Porteous, we calculate the plaquette part of loop actions and the link part of loop actions. Link actions of $A$ type loops cancel with each other, but those of $B$ type loops depends on whether the spin rotation is clockwise or that is counterclockwise. In the present work we consider average of clockwise rotating and counterclockwise rotating loop contributions. - Open Access
- 8 December 2022
- Published by Sissa Medialab Srl
- Vol. 430, 369
Clifford Fourier Transforms in (2+1)D Lattice Simulations of Soliton Propagations
Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weyl fermion-sea is analyzed. We assume materials are filled with Weyl spinors located on $256\times 256$ 2D lattice points, which are expressed by quaternions ${\bf H}$. The topology of solitonic phonon propagation is defined by modifying fixed point actions of 4D Quantum Chromo Dynamics action to (2+1)D action, replacing Dirac fermions by Weyl fermions, and changing the electric charge current flow to the energy flow. We consider $A$ type loops whose path are on a 2D plane, and $B$ type loops which contain two parallel links that connect two 2D plane on different time slices. The length of loops are restricted to be less than or equal to 8 lattice units. At the moment spatial lattice unit and time lattice unit are same. They can be chosen arbitrarily when one compares hysteresis effects with experimental data Using the quaternion expression of Porteous, we calculate the plaquette part of loop actions and the link part of loop actions. Link actions of $A$ type loops cancel with each other, but those of $B$ type loops depends on whether the spin rotation is clockwise or that is counterclockwise. In the present work we consider average of clockwise rotating and counterclockwise rotating loop contributions.- 8 December 2022
- Published by Sissa Medialab Srl
- Vol. 430, 369
Open AccessClifford Fourier Transforms in (2+1)D Lattice Simulations of Soliton Propagations
Monte Carlo simulation of solitonic phonon propagation on a 2D plane in Weyl fermion-sea is analyzed. We assume materials are filled with Weyl spinors located on $256\times 256$ 2D lattice points, which are expressed by quaternions ${\bf H}$. The topology of solitonic phonon propagation is defined by modifying fixed point actions of 4D Quantum Chromo Dynamics action to (2+1)D action, replacing Dirac fermions by Weyl fermions, and changing the electric charge current flow to the energy flow. We consider $A$ type loops whose path are on a 2D plane, and $B$ type loops which contain two parallel links that connect two 2D plane on different time slices. The length of loops are restricted to be less than or equal to 8 lattice units. At the moment spatial lattice unit and time lattice unit are same. They can be chosen arbitrarily when one compares hysteresis effects with experimental data Using the quaternion expression of Porteous, we calculate the plaquette part of loop actions and the link part of loop actions. Link actions of $A$ type loops cancel with each other, but those of $B$ type loops depends on whether the spin rotation is clockwise or that is counterclockwise. In the present work we consider average of clockwise rotating and counterclockwise rotating loop contributions. - 4 October 2022
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1-6
Memristor based ultrasonic optimized excitations for mesoscopic nonlinear characterization of biomedical tissues
The electronic calibration process of the nonlin-ear time reversal based ultrasonic (US) imaging device (TR-NEWS) including the memosducer is presented and fabricated experimentally using Knowm Inc. memristors. Due to the wide frequency bandwidth of the instrumentation, an amplitude mod-ulated chirp-coded optimized US excitation is suggested in order to satisfy all constraints induced by the use of memristors, ultrasonic sensors and the biomedical tissues under analysis. The proof of concept is proposed and optimized with a 8-components memosducer prototype providing low and high resistance states values statistically distributed respectively around 200Ω and 5k Ω and associated to the [100kHz-5MHz] TR-NEWS imaging device bandwidth. Experimentally tested on a polymer phantom with analogue properties of the human skin, the demonstrator constitutes a promizing reservoir computing system based on the principle of neuromorphic devices, providing new generation of multiscale data highly compatible within the Health 4.0 community.
- 4 October 2022
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 1-6
Memristor based ultrasonic optimized excitations for mesoscopic nonlinear characterization of biomedical tissues
The electronic calibration process of the nonlin-ear time reversal based ultrasonic (US) imaging device (TR-NEWS) including the memosducer is presented and fabricated experimentally using Knowm Inc. memristors. Due to the wide frequency bandwidth of the instrumentation, an amplitude mod-ulated chirp-coded optimized US excitation is suggested in order to satisfy all constraints induced by the use of memristors, ultrasonic sensors and the biomedical tissues under analysis. The proof of concept is proposed and optimized with a 8-components memosducer prototype providing low and high resistance states values statistically distributed respectively around 200Ω and 5k Ω and associated to the [100kHz-5MHz] TR-NEWS imaging device bandwidth. Experimentally tested on a polymer phantom with analogue properties of the human skin, the demonstrator constitutes a promizing reservoir computing system based on the principle of neuromorphic devices, providing new generation of multiscale data highly compatible within the Health 4.0 community.
- Open Access
Analysis of Phonetic Soliton Propagation in Neutral Weyl Fermion-sea
We propose application of Machine Learning (ML) and Neural Network (NN) technique for the analysis of ultrasonic Time Reversal based Nonlinear Elastic Wave Spectroscopy (TR-NEWS). In order to acquire topological features, we adopt the $(2+1)D$ lattice simulation with fixed point (FP) actions. We consider 7 A type loops which sit on $2D$ spacial plane spanned by $e_1, e_2$ and 13 B type loops which contain links parallel to $e_1\wedge e_2$ and to -$e_1\wedge e_2$. We consider propagation of bosonic phonons in Fermi-sea of neutral Weyl spinors which are described by Clifford algebra. Configurations in momentum space is transformed to real position space via Clifford Fourier Transform. We consider A-type without hysteresis effects and B-type with hysteresis effects, and via ML or NN technique search optimal weight of 7 A-type FP actions and 13 B-type FP actions using the Monte-Carlo method.Open AccessAnalysis of Phonetic Soliton Propagation in Neutral Weyl Fermion-sea
We propose application of Machine Learning (ML) and Neural Network (NN) technique for the analysis of ultrasonic Time Reversal based Nonlinear Elastic Wave Spectroscopy (TR-NEWS). In order to acquire topological features, we adopt the $(2+1)D$ lattice simulation with fixed point (FP) actions. We consider 7 A type loops which sit on $2D$ spacial plane spanned by $e_1, e_2$ and 13 B type loops which contain links parallel to $e_1\wedge e_2$ and to -$e_1\wedge e_2$. We consider propagation of bosonic phonons in Fermi-sea of neutral Weyl spinors which are described by Clifford algebra. Configurations in momentum space is transformed to real position space via Clifford Fourier Transform. We consider A-type without hysteresis effects and B-type with hysteresis effects, and via ML or NN technique search optimal weight of 7 A-type FP actions and 13 B-type FP actions using the Monte-Carlo method. - Open Access
Application of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
Identification of crack positions or anomalies in materials using the time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) is an established method. We propose a system using transducers which emit forward propagating solitonic wave and time-reversed propagating solitonic wave produced by memristers placed on a side of a rectangle and scattered by cracks in the material and received by receivers which are placed on the opposite side of the rectangle. By minimizing the difference of the scattered forward propagating wave and the scattered TR wave, we get information of the position of the crack by using the neural network technique. Route of the solitons are expressed by 2 dimensional projective quaternion functions, and parameters for getting the optimal route from signals are expected to be reduced. We consider the wave is expressed by a soliton which is conformal, and discuss symmetry protected topological impurities and gravitational effects using the Atiyah-Patodi-Singer's index theorem.
Open AccessApplication of Quaternion Neural Network to Time Reversal Based Nonlinear Elastic Wave Spectroscopy
Identification of crack positions or anomalies in materials using the time reversal based nonlinear elastic wave spectroscopy (TR-NEWS) is an established method. We propose a system using transducers which emit forward propagating solitonic wave and time-reversed propagating solitonic wave produced by memristers placed on a side of a rectangle and scattered by cracks in the material and received by receivers which are placed on the opposite side of the rectangle. By minimizing the difference of the scattered forward propagating wave and the scattered TR wave, we get information of the position of the crack by using the neural network technique. Route of the solitons are expressed by 2 dimensional projective quaternion functions, and parameters for getting the optimal route from signals are expected to be reduced. We consider the wave is expressed by a soliton which is conformal, and discuss symmetry protected topological impurities and gravitational effects using the Atiyah-Patodi-Singer's index theorem.
- Open Access
Monte Carlo simulations of phonon propagation in the Fermi-sea of Weyl spinors and detection of hysteresis effects using Groupoids
We considered symplectic quaternions sitting on a $(2+1)D$ lattice in momentum space which interact with nearest neighbor interactions. The action is expressed by fixed point actions given by the superposition of blocks whose length of the contour is 4, 6 or 8 lattice spacings. The spinors are on a finite $2D$ plane expressed as $u_1 a e_1+ u_2 a e_2$ (A type) and/or on two $2D$ planes separated by $\pm a e_1\wedge e_2$ (B type). In the A type, link actions on counter-clockwise rotating loop and on clockwise rotating loop cancel, however in the B type, the direction of links between the lower $2D$ plane and the upper $2D$ plane induces differences in the action. The time-reversal conserving and spin rotational symmetry breaking actions can be measured. Result of Monte-Carlo simulations of $64\times 64$, $128\times 128$ and $256\times 256$ spatial lattices are presented.Open AccessMonte Carlo simulations of phonon propagation in the Fermi-sea of Weyl spinors and detection of hysteresis effects using Groupoids
We considered symplectic quaternions sitting on a $(2+1)D$ lattice in momentum space which interact with nearest neighbor interactions. The action is expressed by fixed point actions given by the superposition of blocks whose length of the contour is 4, 6 or 8 lattice spacings. The spinors are on a finite $2D$ plane expressed as $u_1 a e_1+ u_2 a e_2$ (A type) and/or on two $2D$ planes separated by $\pm a e_1\wedge e_2$ (B type). In the A type, link actions on counter-clockwise rotating loop and on clockwise rotating loop cancel, however in the B type, the direction of links between the lower $2D$ plane and the upper $2D$ plane induces differences in the action. The time-reversal conserving and spin rotational symmetry breaking actions can be measured. Result of Monte-Carlo simulations of $64\times 64$, $128\times 128$ and $256\times 256$ spatial lattices are presented. - Open AccessLattice simulation of $(2+1)D$ phonetic solitons and the Renormalization groupThe outline of lattice simulations of $(2+1)D$ soliton-propagations in the background of Weyl spinors is presented. Clifford algebra is applied on Luescher's domain decomposition method. The Clifford algebra shows that there are loop parts and interpolating surface parts in the Wilson's lattice action. We adopt the Migdal-Kadanoff prescription and the fixed point action in momentum space of Benfatto and Gallavotti, and shows a road map for simulating phonetic solitons in materials. Detections of topological anomalies (APS index) in nondestructive testing are discussed.Open AccessLattice simulation of $(2+1)D$ phonetic solitons and the Renormalization groupThe outline of lattice simulations of $(2+1)D$ soliton-propagations in the background of Weyl spinors is presented. Clifford algebra is applied on Luescher's domain decomposition method. The Clifford algebra shows that there are loop parts and interpolating surface parts in the Wilson's lattice action. We adopt the Migdal-Kadanoff prescription and the fixed point action in momentum space of Benfatto and Gallavotti, and shows a road map for simulating phonetic solitons in materials. Detections of topological anomalies (APS index) in nondestructive testing are discussed.
- Open AccessRenormalization of $(2+1)D$ scalar Weyl spinors interactions on lattices using the Clifford groupsWe consider symplectic quaternions instead of unitary spinors sitting on a lattice, and calculate the fixed point Wilson action on a finite $2D$ plane expanded by $u_1 a e_1+ u_2 a e_2$ and on two $2D$ planes separated by $a e_1\wedge e_2$. Only the nearlest neighbor interactions are considered. Following Migdal and Kadanoff, we perform the renormalization of the Wilson action by making the lattice spacing $(\frac{1}{2})^{h}a$ $(h=0,\cdots,11 )$, in order to simulate bosonic and solitonic phonon propagation in materials. Renormalization group method of Benfatto and Gallavotti for $(2+1)D$ scalar $\phi^4$ system for sound propagation in Fermi sea is applied and feasibility of numerical simulation is discussed.Open AccessRenormalization of $(2+1)D$ scalar Weyl spinors interactions on lattices using the Clifford groupsWe consider symplectic quaternions instead of unitary spinors sitting on a lattice, and calculate the fixed point Wilson action on a finite $2D$ plane expanded by $u_1 a e_1+ u_2 a e_2$ and on two $2D$ planes separated by $a e_1\wedge e_2$. Only the nearlest neighbor interactions are considered. Following Migdal and Kadanoff, we perform the renormalization of the Wilson action by making the lattice spacing $(\frac{1}{2})^{h}a$ $(h=0,\cdots,11 )$, in order to simulate bosonic and solitonic phonon propagation in materials. Renormalization group method of Benfatto and Gallavotti for $(2+1)D$ scalar $\phi^4$ system for sound propagation in Fermi sea is applied and feasibility of numerical simulation is discussed.