�ݺ�ߣshows by User: LesterIngber

�ݺ�ߣshows by User: LesterIngber / http://www.slideshare.net/images/logo.gif �ݺ�ߣshows by User: LesterIngber / Sat, 09 Jun 2018 03:23:22 GMT �ݺ�ߣShare feed for �ݺ�ߣshows by User: LesterIngber Quantum Variables in Finance and Neuroscience Lecture �ݺ�ߣs /slideshow/quantum-variables-in-finance-and-neuroscience-lecture-slides/101452651 9haexbenrre2omjkvqze-signature-768b1f37bee9d8a9e51e9431ff1c31f548e25fcfa94530f513a01dd79974ab61-poli-180609032322
Background About 7500 lines of PATHINT C-code, used previously for several systems, has been generalized from 1 dimension to N dimensions, and from classical to quantum systems into qPATHINT processing complex (real + $i$ imaginary) variables. qPATHINT was applied to systems in neocortical interactions and financial options. Classical PATHINT has developed a statistical mechanics of neocortical interactions (SMNI), fit by Adaptive Simulated Annealing (ASA) to Electroencephalographic (EEG) data under attentional experimental paradigms. Classical PATHINT also has demonstrated development of Eurodollar options in industrial applications. Objective A study is required to see if the qPATHINT algorithm can scale sufficiently to further develop real-world calculations in these two systems, requiring interactions between classical and quantum scales. A new algorithm also is needed to develop interactions between classical and quantum scales. Method Both systems are developed using mathematical-physics methods of path integrals in quantum spaces. Supercomputer pilot studies using XSEDE.org resources tested various dimensions for their scaling limits. For the neuroscience study, neuron-astrocyte-neuron Ca-ion waves are propagated for 100's of msec. A derived expectation of momentum of Ca-ion wave-functions in an external field permits initial direct tests of this approach. For the financial options study, all traded Greeks are calculated for Eurodollar options in quantum-money spaces. Results The mathematical-physics and computer parts of the study are successful for both systems. A 3-dimensional path-integral propagation of qPATHINT for is within normal computational bounds on supercomputers. The neuroscience quantum path-integral also has a closed solution at arbitrary time that tests qPATHINT. Conclusion Each of the two systems considered contribute insight into applications of qPATHINT to the other system, leading to new algorithms presenting time-dependent propagation of interacting quantum and classical scales. This can be achieved by propagating qPATHINT and PATHINT in synchronous time for the interacting systems. ]]>
Background About 7500 lines of PATHINT C-code, used previously for several systems, has been generalized from 1 dimension to N dimensions, and from classical to quantum systems into qPATHINT processing complex (real + $i$ imaginary) variables. qPATHINT was applied to systems in neocortical interactions and financial options. Classical PATHINT has developed a statistical mechanics of neocortical interactions (SMNI), fit by Adaptive Simulated Annealing (ASA) to Electroencephalographic (EEG) data under attentional experimental paradigms. Classical PATHINT also has demonstrated development of Eurodollar options in industrial applications. Objective A study is required to see if the qPATHINT algorithm can scale sufficiently to further develop real-world calculations in these two systems, requiring interactions between classical and quantum scales. A new algorithm also is needed to develop interactions between classical and quantum scales. Method Both systems are developed using mathematical-physics methods of path integrals in quantum spaces. Supercomputer pilot studies using XSEDE.org resources tested various dimensions for their scaling limits. For the neuroscience study, neuron-astrocyte-neuron Ca-ion waves are propagated for 100's of msec. A derived expectation of momentum of Ca-ion wave-functions in an external field permits initial direct tests of this approach. For the financial options study, all traded Greeks are calculated for Eurodollar options in quantum-money spaces. Results The mathematical-physics and computer parts of the study are successful for both systems. A 3-dimensional path-integral propagation of qPATHINT for is within normal computational bounds on supercomputers. The neuroscience quantum path-integral also has a closed solution at arbitrary time that tests qPATHINT. Conclusion Each of the two systems considered contribute insight into applications of qPATHINT to the other system, leading to new algorithms presenting time-dependent propagation of interacting quantum and classical scales. This can be achieved by propagating qPATHINT and PATHINT in synchronous time for the interacting systems. ]]> Sat, 09 Jun 2018 03:23:22 GMT /slideshow/quantum-variables-in-finance-and-neuroscience-lecture-slides/101452651 LesterIngber@slideshare.net(LesterIngber) Quantum Variables in Finance and Neuroscience Lecture �ݺ�ߣs LesterIngber Background About 7500 lines of PATHINT C-code, used previously for several systems, has been generalized from 1 dimension to N dimensions, and from classical to quantum systems into qPATHINT processing complex (real + $i$ imaginary) variables. qPATHINT was applied to systems in neocortical interactions and financial options. Classical PATHINT has developed a statistical mechanics of neocortical interactions (SMNI), fit by Adaptive Simulated Annealing (ASA) to Electroencephalographic (EEG) data under attentional experimental paradigms. Classical PATHINT also has demonstrated development of Eurodollar options in industrial applications. Objective A study is required to see if the qPATHINT algorithm can scale sufficiently to further develop real-world calculations in these two systems, requiring interactions between classical and quantum scales. A new algorithm also is needed to develop interactions between classical and quantum scales. Method Both systems are developed using mathematical-physics methods of path integrals in quantum spaces. Supercomputer pilot studies using XSEDE.org resources tested various dimensions for their scaling limits. For the neuroscience study, neuron-astrocyte-neuron Ca-ion waves are propagated for 100's of msec. A derived expectation of momentum of Ca-ion wave-functions in an external field permits initial direct tests of this approach. For the financial options study, all traded Greeks are calculated for Eurodollar options in quantum-money spaces. Results The mathematical-physics and computer parts of the study are successful for both systems. A 3-dimensional path-integral propagation of qPATHINT for is within normal computational bounds on supercomputers. The neuroscience quantum path-integral also has a closed solution at arbitrary time that tests qPATHINT. Conclusion Each of the two systems considered contribute insight into applications of qPATHINT to the other system, leading to new algorithms presenting time-dependent propagation of interacting quantum and classical scales. This can be achieved by propagating qPATHINT and PATHINT in synchronous time for the interacting systems. <img style="border:1px solid #C3E6D8;float:right;" alt="" src="https://cdn.slidesharecdn.com/ss_thumbnails/9haexbenrre2omjkvqze-signature-768b1f37bee9d8a9e51e9431ff1c31f548e25fcfa94530f513a01dd79974ab61-poli-180609032322-thumbnail.jpg?width=120&height=120&fit=bounds" /><br> Background About 7500 lines of PATHINT C-code, used previously for several systems, has been generalized from 1 dimension to N dimensions, and from classical to quantum systems into qPATHINT processing complex (real + $i$ imaginary) variables. qPATHINT was applied to systems in neocortical interactions and financial options. Classical PATHINT has developed a statistical mechanics of neocortical interactions (SMNI), fit by Adaptive Simulated Annealing (ASA) to Electroencephalographic (EEG) data under attentional experimental paradigms. Classical PATHINT also has demonstrated development of Eurodollar options in industrial applications. Objective A study is required to see if the qPATHINT algorithm can scale sufficiently to further develop real-world calculations in these two systems, requiring interactions between classical and quantum scales. A new algorithm also is needed to develop interactions between classical and quantum scales. Method Both systems are developed using mathematical-physics methods of path integrals in quantum spaces. Supercomputer pilot studies using XSEDE.org resources tested various dimensions for their scaling limits. For the neuroscience study, neuron-astrocyte-neuron Ca-ion waves are propagated for 100's of msec. A derived expectation of momentum of Ca-ion wave-functions in an external field permits initial direct tests of this approach. For the financial options study, all traded Greeks are calculated for Eurodollar options in quantum-money spaces. Results The mathematical-physics and computer parts of the study are successful for both systems. A 3-dimensional path-integral propagation of qPATHINT for is within normal computational bounds on supercomputers. The neuroscience quantum path-integral also has a closed solution at arbitrary time that tests qPATHINT. Conclusion Each of the two systems considered contribute insight into applications of qPATHINT to the other system, leading to new algorithms presenting time-dependent propagation of interacting quantum and classical scales. This can be achieved by propagating qPATHINT and PATHINT in synchronous time for the interacting systems.

Quantum Variables in Finance and Neuroscience Lecture �ݺ�ߣs from Lester Ingber

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