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Decision making module based on stochastic magnetic tunnel junctions

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Science China(Physics,Mechanics & Astronomy) 2025年第1期Mechanics & Astronomy) .卷 202-209页

作者： Yifan Miao li zhao Yajun Zhang Zhe Yuan Center for Advanced Quantum Studies and Department of Physics Beijing Normal University Institute for Nanoelectric Devices and Quantum Computing Fudan University Interdisciplinary Center for Theoretical Physics and Information Sciences Fudan University

In biological neural systems, noise is ubiquitous but does not affect the correct decisions made in the complex cognitive ***-making in biological neural system is typically achieved by accumulating input information over a period of *** by recent developments in neurosciences, we design a decision-making module based on spintronic devices, utilizing superparamagnetic tunnel junctions as artificial neurons. The feasibility of this decision-making module is verified through circuit simulations. Taking a multi-layer perceptron as an example, the module significantly improves the accuracy of the perceptron in the handwritten digit recognition task. Furthermore, the spintronic decision-making module offers advantages over the conventional pooling methods, such as adaptive decision time, high performance and the absence of analog-to-digital conversion. The decision-making module is flexible to be integrated into artificial neural networks and provides a general yet effective solution to enhance performance against device noise.

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On some projectively flat polynomial (α,β)-metrics

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第6期8卷 957-962页

作者： zhao li-li Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Mathematics Shanghai Jiao Tong University Shanghai 200240 China

In this paper, we consider some polynomial （a,fl）-metrics, and discuss the sufficient and necessary conditions for a Finsler metric in the form F=α＋α1β＋α2β^2/α＋α4β^4/α^3 to be projectively flat, where ai 0=1,2,4） are constants with a1≠0, a is a Riemannian metric and β is a 1-form. By analyzing the geodesic coefficients and the divisibility of certain polynomials, we obtain that there are only five projectively flat cases for metrics of this type. This gives a classification for such kind of Finsler metrics.

关键词： Finsler metric Polynomial Projectively flat

The binocular neural mechanism: disparity coding schemes and population coding

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Science China(Information Sciences) 2015年第9期58卷 69-82页

作者： zhao li Information Engineering Institute Henan University of Science and Technology

Stereoacuity thresholds measured on disparity pedestals are generally found to increase exponentially as the pedestals move away from horopters. However, Farell et al. recently found that for sinusoidal stimuli this threshold function had a dip—a pedestal effect. This paper examines the underlying neural *** suggest a general disparity coding scheme with two position parameters, which are necessary to account for the phenomenon that the response of the energy model depends on the absolute phase of the stimulus. This scheme was implemented to simulate the responses, calculated from an energy model, of the neurons of a full V1 cortical column. To explain the stereo pedestal effect, we propose a decoding mechanism, which is first processed along the phase dimension and then along the orientation dimension. The final step of the decoding mechanism, probability summation over the outputs of spatial frequency channels, yields the dip, producing a disparity increment threshold function similar to the psychophysical result.

关键词： stereopsis disparity discrimination disparity coding increment thresholds neural integration

Mean Square Stability of Impulsive Stochastic Delayed Reaction-Diffusion Equations via Comparison Principle with Razumikhin Method

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Journal of Systems Science & Complexity 2020年第4期33卷 1012-1022页

作者： li zhao li Shuyong College of Mathematics Science Sichuan Normal UniversityChengdu 610066China School of Mathematics and Physics Mianyang Teachers’CollegeMianyang 621000China

This paper investigates the mean square stability problem for impulsive stochastic delayed reaction-diffusion equations. By employing stochastic analysis theory, impulsive differential inequality technique and Razumikhin method, comparison principle for impulsive stochastic delayed reactiondiffusion equations is firstly established. Then, by using the comparison principle, some sufficient conditions are derived to ensure the mean square stability, mean square uniform stability, mean square asymptotic stability and mean square exponential stability of such systems. Finally, an example is provided to show the effectiveness of the proposed results.

关键词： equations. stability stochastic

Review on Applications of Zeotropic Mixtures

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Journal of Thermal Science 2022年第2期31卷 285-307页

作者： BAI Mengjie zhao li zhao Ruikai Key Laboratory of Efficient Utilization of Low and Medium Grade Energy (Tianjin University)MOETianjin 300072China

Compared with the pure fluids,the zeotropic mixtures can balance the requirements of environmental protection,heat source matching and system safety,and exhibit excellent thermodynamic ***,compared to the widespread applications of pure fluids,zeotropic mixtures are rarely exploited in thermodynamic cycles,and there is a lack of targeted summary on refrigeration systems,organic Rankine cycle systems and combined power and refrigeration *** the recent years,zeotropic mixtures are developing at an unprecedented pace,while the working fluids components are inevitably explored in the *** this paper,the research progress of zeotropic mixtures in the field of refrigeration systems,organic Rankine cycle systems and combined power and refrigeration systems are *** on the review of zeotropic working mixtures,the reasonable predictions can be *** the future,environmental problems will still be one of the most important concerned ***,the zeotropic mixtures consisting of natural hydrocarbons and carbon dioxide,which are environmentally friendly,have great potential for ***,zeotropic mixtures of natural working fluids can improve comprehensive energy efficiency of combined systems and will play an important role in future carbon emission reduction technologies.

关键词： combined power and refrigeration systems heat pump natural working fluids organic Rankine cycle refrigeration zeotropic mixtures

Discussion on the Mechanism of Source Integration between Solar Energy and Biomass Energy with Similar Grades

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Journal of Thermal Science 2021年第5期30卷 1607-1613页

作者： zhao li SU Dandan Key Laboratory of Efficient Utilization of Low and Medium Grade Energy(Tianjin University) Ministry of Education of ChinaTianjin300350China

The clean transformation of the China’s energy structure is related to the establishment of China as an energy power in the new world *** multi-energy systems based on renewable energy,especially solar energy and biomass energy,have become a popular energy supply ***,there is no clear theoretical guidance for the quantitative source integration of these two types of clean ***,whether the source grades of solar energy and biomass energy are similar in different solar energy modes has not been considered *** at this problem,based on the theory of space-time unity of the special theory of relativity,a new principle of source integration is proposed,and the corresponding mathematical model is *** theoretical calculation of the combination of solar energy and different types of biomass energy is carried *** the premise of the similarity between the source grades of different biomass energy and solar energy,the specific solar energy concentration ratio is *** to this principle,the matching efficiency of the multi-energy integration for rice and corn plants can be increased by 39.2%and 36.2%,respectively.

关键词： special theory of relativity solar energy biomass energy source integration grade

Quantum Contextuality for Training Neural Networks

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Chinese Journal of Electronics 2020年第6期29卷 1178-1184页

作者： ZHANG Junwei li zhao School of Computer Science and Technology Tianjin University Search Division Alibaba Group

In the training process of Neural networks(NNs),the selection of hyper-parameters is crucial,which determines the final training effect of the *** them,the Learning rate decay(LRD) can improve the learning speed and accuracy;the Weight decay(WD)improves the over-fitting to varying ***,the decay methods still have problems such as hysteresis and stiffness of parameter adjustment,so that the final model will be *** on the Quantum contextuality(QC)theory,we propose a Quantum contextuality constraint(QCC) to constrain the weights of nodes in NNs to further improve the training *** the simplest classification model,we combine this constraint with different methods of LRD and WD to verify that QCC can further improve the training effect on the decay *** performance of the experiments shows that QCC can significantly improve the convergence and accuracy of the model.

关键词： learning (artificial intelligence) neural nets pattern classification quantum contextuality theory quantum contextuality constraint learning rate decay final training effect hyper-parameters training process training neural networks simplest classification model NN QCC parameter adjustment stiffness hysteresis decay method WD weight decay learning speed LRD Quantum contextuality Non-classical probability constraints Training neural networks

The quasitriangular structures of biproduct Hopf algebras

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2007年第1期8卷 149-157页

作者： zhao li-hui zhao Wen-zheng Department of Mathematics Zhejiang University Hangzhou 310027 China Department of Mathematics Henan Normal University Xinxiang 453002 China

The construction of the biproduct of Hopf algebras, which consists of smash product and the dual notion of smash coproduct, was first formulated by Radford. In this paper we study the quasitriangular structures over biproduct Hopf algebras B*H. We show the necessary and sufficient conditions for biproduct Hopf algebras to be quasitriangular. For the case when they are, we determine completely the unique formula of the quasitriangular structures. And so we find a way to construct solutions of the Yang-Baxter equation over biproduct Hopf algebras in the sense of (Majid, 1990).

关键词： Hopf algebra Quasitriangular structure Biproduct

Study on the X-Ray Re-brightening Signature of GRB 220117A

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Research in Astronomy and Astrophysics 2023年第11期23卷 118-124页

作者： li-Tao zhao School of Mathematics and Science Hebei GEO UniversityShijiazhuang 050016China

The Swift/XRT detected the X-ray afterglow of long burst GRB 220117A,which began to rebrighten 300 s after triggering and followed a single power-law decay segment after thousands of seconds of the orbital observation *** segment is different from the shallow decay segment(plateau)and flare,and may belong to a giant X-ray *** investigated this segment by the fall-back accretion model and found that the model can interpret this segment with reasonable parameter *** this physical model scenario,the fall-back accretion rate reaches a peak value~1.70×10~(-5)M_⊙s~(-1)around 300 s in the central engine frame,which is compatible with the late mass supply rate of some low-metallicity massive progenitor *** initial black hole(BH)spin is a_0=0.64_(-0.26)~(+0.24)and implies that this re-brightening signature requires a larger BH *** total accretion mass during the fall-back process is M_(acc)=(3.09±0.02)×10~(-2)M_⊙.The jet energy from the fall-back accretion is(9.77±0.65)×10~(52)erg,with a ratio of 0.066 to the isotropic-equivalent radiation energies of the GRB prompt phase in the 1-10~4 keV *** fall-back radius r_p corresponding to the peak time of fall-back t_p is(3.16±0.05)×10~(10)cm,which is consistent with the typical radius of Wolf-Rayet *** summary,our results provide additional support for the origin of the long burst from the core collapse of Wolf-Rayet stars,and its late central engine activity is likely due to the fall-back accretion process.

关键词： accretion accretion disks black hole physics (stars:)gamma-ray burst:general