316 research outputs found

    Transient Information Flow in a Network of Excitatory and Inhibitory Model Neurons: Role of Noise and Signal Autocorrelation

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    We investigate the performance of sparsely-connected networks of integrate-and-fire neurons for ultra-short term information processing. We exploit the fact that the population activity of networks with balanced excitation and inhibition can switch from an oscillatory firing regime to a state of asynchronous irregular firing or quiescence depending on the rate of external background spikes. We find that in terms of information buffering the network performs best for a moderate, non-zero, amount of noise. Analogous to the phenomenon of stochastic resonance the performance decreases for higher and lower noise levels. The optimal amount of noise corresponds to the transition zone between a quiescent state and a regime of stochastic dynamics. This provides a potential explanation on the role of non-oscillatory population activity in a simplified model of cortical micro-circuits.Comment: 27 pages, 7 figures, to appear in J. Physiology (Paris) Vol. 9

    Sports Analytics: Predicting Athletic Performance with a Genetic Algorithm

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    Existing predictive modeling in sports analytics often hinges on atheoretical assumptions winnowed from a large and diverse pool of game metrics. Feature subset selection by way of a genetic algorithm to identify and assess the combinatorial advantage for a group of metrics is a viable option to otherwise arbitrary model construction. However, this approach concedes similar arbitrariness as there is no general strategy or common practice design among the tightly coupled nucleus of genetic operators. The resulting dizzying ecosystem of choice is especially difficult to overcome and leaves a residual uncertainty regarding true strength of output, specifically for practical implementations. This study transposes ideas from extreme environmental change into a quasi-deterministic extension of standard GA functionality that seeks to punctuate converged populations with individuals from auxiliary metas. This strategy has the effect of challenging what might otherwise be considered shallow fitness, thereby promoting greater trust in output against innumerable alternatives

    Neurocognitive Informatics Manifesto.

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    Informatics studies all aspects of the structure of natural and artificial information systems. Theoretical and abstract approaches to information have made great advances, but human information processing is still unmatched in many areas, including information management, representation and understanding. Neurocognitive informatics is a new, emerging field that should help to improve the matching of artificial and natural systems, and inspire better computational algorithms to solve problems that are still beyond the reach of machines. In this position paper examples of neurocognitive inspirations and promising directions in this area are given

    ๊ฒฐํ•ฉ๋œ ์ง„๋™์ž๋“ค์˜ ๋™๊ธฐํ™”์— ๋Œ€ํ•œ ์œ ํšจ ํฌํ…์…œ ๋ฐ ๊ธฐ๊ณ„ํ•™์Šต ์ ‘๊ทผ๋ฒ•

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    ํ•™์œ„๋…ผ๋ฌธ (๋ฐ•์‚ฌ) -- ์„œ์šธ๋Œ€ํ•™๊ต ๋Œ€ํ•™์› : ์ž์—ฐ๊ณผํ•™๋Œ€ํ•™ ๋ฌผ๋ฆฌํ•™๊ณผ, 2021. 2. ๊ฐ•๋ณ‘๋‚จ.Systems with multiple interacting elements exhibit collective behaviors. As one of examples of collective behaviors, synchronization is a process of coordinating two or more elements to realize the system in unison. It is an omnipresent phenomena in nature, for instance, firefly flashing, cricket chirping, cardiac pacemaker cell, and so on. To understand and describe the mechanism of synchronization phenomena, coupled oscillator system is often adopted as the most conventional and suitable model for interacting system. Each oscillator has own frequency representing each unique characteristics, and its phase is adjusted through the interaction with other oscillators on the system. On the way to phase synchronization, such interactions or connections between oscillators can be expressed as links on the complex network and each element (oscillator) is then denoted by a node. A number of studies for coupled oscillators on complex networks have been progressed over the past two decades. Among the studies for synchronization of coupled oscillator systems, the Kuramoto model has played a crucial role as a simple and representative model for describing such collective behavior. Owing to its rich properties such as chaotic dynamical behavior and synchronization transition, the Kuramoto model is an appropriate model to explore. First, fundamental results of previous studies on synchronization of the coupled oscillator system, especially the Kuramoto model, are introduced. This dissertation is composed of two main studies for the coupled oscillator system by adopting two different approaches, respectively. As the first main study of this dissertation, we examine the Kuramoto model using analytical way, the effective potential approach. The Kuramoto model exhibits different types of synchronization transitions depending on the type of natural frequency distribution. To obtain these results, the Kuramoto self-consistency equation (SCE) approach has been used successfully. However, this approach affords only limited understanding of more detailed properties such as the stability. We here extend the SCE approach by introducing an effective potential, that is, an integral version of the SCE. We examine the landscape of this effective potential for second-order, first-order, and hybrid synchronization transitions in the thermodynamic limit. In particular, for the hybrid transition, we find that the minimum of effective potential displays a plateau across the region in which the order parameter jumps. This result suggests that the effective potential can be used to determine a type of synchronization transition. In the second study for the coupled oscillator systems, we applied the machine learning approach to investigate the system based on data-driven analysis and to figure out whether the methodology can be extended to the real world system. With growing interest in the machine learning, recent works on physical systems has demonstrated successful progresses by adopting the machine learning approaches for tasks of classification and generation. We here perform various machine learning approaches to the Kuramoto system which is basic model for synchronization phenomena and exhibits complicated chaotic behavior. As the system displays rich properties such as synchronization transition and nonlinearity with varying parameters, we applied machine learning for finding the value of the coupling strength and the critical value. Considering the finite size scaling, we confirm that results follow the critical behavior of the Kuramoto system. By focusing on the phase dynamics of all oscillators, we applied the performance of the artificial neural network for predicting future behaviors of all oscillators and detecting underlying real brain network topology. As the Kuramoto model offers support for the application on real-world systems exhibiting synchronization phenomena or nonlinear behaviors, our work has potential for utilizing the machine learning approaches to such systems.์„œ๋กœ ๊ฐ„์˜ ์ƒํ˜ธ์ž‘์šฉ์ด ์žˆ๋Š” ๋‹ค์ˆ˜์˜ ๊ฐœ์ฒด๋กœ ๊ตฌ์„ฑ๋œ ๊ณ„๋Š” ์ง‘๋‹จ์ ์ธ ํ–‰๋™์„ ๋ณด์ธ๋‹ค๋Š” ๊ฒƒ์ด ์ž˜ ์•Œ๋ ค์ ธ์žˆ๋‹ค. ๊ทธ๋Ÿฌํ•œ ์ง‘๋‹จ์ ์ธ ํ–‰๋™์˜ ๋Œ€ํ‘œ์ ์ธ ์˜ˆ๋กœ์จ, ๋™๊ธฐํ™” ํ˜„์ƒ์€ ๋‘ ๊ฐœ ์ด์ƒ์˜ ๊ฐœ์ฒด๊ฐ€ ์ƒํ˜ธ์ž‘์šฉ์„ ํ†ตํ•ด ๋ชจ๋‘ ๋™์ผํ•œ ์ƒํƒœ์— ์ด๋ฅด๊ฒŒ ๋˜๋Š” ๊ณผ์ •์„ ๋œปํ•œ๋‹ค. ๋ฐ˜๋”ง๋ถˆ์˜ ๊นœ๋นก์ž„, ๊ท€๋šœ๋ผ๋ฏธ์˜ ์šธ์Œ์†Œ๋ฆฌ, ์‹ฌ์žฅ๋ฐ•๋™์›์„ธํฌ ๋“ฑ ์ž์—ฐ์—๋Š” ๋™๊ธฐํ™” ํ˜„์ƒ์˜ ์ˆ˜๋งŽ์€ ์˜ˆ๋“ค์ด ์žˆ๋‹ค. ๋™๊ธฐํ™” ํ˜„์ƒ์„ ์ดํ•ดํ•˜๊ณ  ๋ฌ˜์‚ฌํ•˜๊ธฐ ์œ„ํ•œ ๊ฐ€์žฅ ๋Œ€ํ‘œ์ ์ด๊ณ  ์ ํ•ฉํ•œ ๋ชจํ˜•์œผ๋กœ, ๊ฒฐํ•ฉ๋œ ์ง„๋™์ž๋“ค๋กœ ์ด๋ฃจ์–ด์ง„ ์‹œ์Šคํ…œ์„ ์ƒ๊ฐํ•ด ๋ณผ ์ˆ˜ ์žˆ๋‹ค. ์‹œ์Šคํ…œ์— ์žˆ๋Š” ๊ฐ๊ฐ์˜ ์ง„๋™์ž๋“ค์€ ๊ฐ์ž์˜ ํŠน์„ฑ์„ ๋‚˜ํƒ€๋‚ด๋Š” ๊ณ ์œ  ์ง„๋™์ˆ˜(natural frequency)๋ฅผ ๊ฐ–๊ณ  ์žˆ์œผ๋ฉฐ, ๊ฐ๊ฐ์˜ ์œ„์ƒ(phase)๋“ค์€ ์‹œ์Šคํ…œ์˜ ๋‹ค๋ฅธ ์ง„๋™์ž๋“ค๊ณผ์˜ ์ƒํ˜ธ์ž‘์šฉ์„ ํ†ตํ•ด ์‹œ๊ฐ„์ด ์ง€๋‚จ์— ๋”ฐ๋ผ ์ ์ฐจ ๋งž์ถ”์–ด ๋‚˜๊ฐ€๊ฒŒ ๋œ๋‹ค. ์ด ๋•Œ, ์ด๋Ÿฌํ•œ ์œ„์ƒ ๋™๊ธฐํ™”๊ฐ€ ์ผ์–ด๋‚˜๋Š” ๊ณผ์ •์—์„œ ์ง„๋™์ž๋“ค ์‚ฌ์ด์˜ ์—ฐ๊ฒฐ ๋˜๋Š” ์ƒํ˜ธ์ž‘์šฉ๋“ค์€ ๋ณต์žก๊ณ„ ๋„คํŠธ์›Œํฌ ์œ„์˜ ๋งํฌ(link)๋กœ ํ‘œํ˜„๋  ์ˆ˜ ์žˆ์œผ๋ฉฐ, ๊ฐ๊ฐ์˜ ๊ฐœ์ฒด ํ˜น์€ ์ง„๋™์ž๋“ค์€ ๋…ธ๋“œ(node)๋กœ ํ‘œํ˜„๋œ๋‹ค. ์ด๋Ÿฌํ•œ ๊ฒฐํ•ฉ๋œ ์ง„๋™์ž๋“ค์— ๋Œ€ํ•œ ์ˆ˜๋งŽ์€ ์—ฐ๊ตฌ๋“ค์ด ์ง€๋‚œ 20์—ฌ๋…„๊ฐ„ ์ด๋ฃจ์–ด์ ธ ์™”๋‹ค. ์ง‘๋‹จํ˜„์ƒ์„ ๋ฌ˜์‚ฌํ•˜๋Š” ๊ฐ„๋‹จํ•˜๋ฉด์„œ๋„ ๋Œ€ํ‘œ์ ์ธ ๋ชจํ˜•์ธ ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์„ ์ฐจ์šฉํ•˜์—ฌ ๊ฒฐํ•ฉ๋œ ์ง„๋™์ž๋“ค์˜ ๋™๊ธฐํ™” ํ˜„์ƒ์— ๋Œ€ํ•œ ๋งŽ์€ ์—ฐ๊ตฌ๋“ค์ด ์ง„ํ–‰๋˜์–ด์™”๋‹ค. ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์€ ์นด์˜ค์Šค ๋™์—ญํ•™, ๋™๊ธฐํ™” ์ƒ์ „์ด ๋“ฑ์˜ ๋‹ค์–‘ํ•œ ํŠน์„ฑ์„ ๋‚˜ํƒ€๋‚ด๋Š”๋งŒํผ, ํฅ๋ฏธ๋กœ์šด ์—ฐ๊ตฌ๋“ค์ด ๋งŽ์ด ์ด๋ฃจ์–ด์ ธ ์™”๋Š”๋ฐ, ๋จผ์ €, ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์—์„œ ๋‚˜ํƒ€๋‚˜๋Š” ๋™๊ธฐํ™” ํ˜„์ƒ์— ๋Œ€ํ•œ ์„ ํ–‰์—ฐ๊ตฌ๋“ค์—์„œ ๋ฐํ˜€์ง„ ์ค‘์š”ํ•œ ๊ฒฐ๊ณผ ๋ฐ ๋ฐฐ๊ฒฝ๋“ค์„ ์ด ํ•™์œ„ ๋…ผ๋ฌธ์˜ ์•ž๋ถ€๋ถ„์—์„œ ์†Œ๊ฐœํ•˜์˜€๋‹ค. ๊ทธ๋ฆฌ๊ณ  ๊ฐ๊ฐ์„ ์ฃผ์š”ํ•œ ์—ฐ๊ตฌ์ฃผ์ œ๋กœ์จ, ๊ฒฐํ•ฉ๋œ ์ง„๋™์ž๋“ค์˜ ์‹œ์Šคํ…œ์— ๋Œ€ํ•œ ๋‘ ๊ฐ€์ง€ ๋ฐฉ๋ฒ•๋ก ์„ ์‚ฌ์šฉํ•˜์—ฌ ๋…ผ๋ฌธ์„ ๊ตฌ์„ฑ์„ ํ•˜์˜€๋‹ค. ์ฒซ๋ฒˆ์งธ ์—ฐ๊ตฌ์—์„œ๋Š”, ์œ ํšจ ํฌํ…์…œ(effective potential)์„ ์ด์šฉํ•œ ๋ฐฉ๋ฒ•๋ก ์„ ๋„์ž…ํ•˜์—ฌ ํ•ด์„์ ์ธ ๋ฐฉ๋ฒ•์œผ๋กœ ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์„ ๋ถ„์„ํ•˜์˜€๋‹ค. ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์—์„œ๋Š” ๊ณ ์œ  ์ง„๋™์ˆ˜์˜ ๋ถ„ํฌํ˜•ํƒœ๊ฐ€ ๋ณ€ํ•จ์— ๋”ฐ๋ผ ๋™๊ธฐํ™” ์ƒ์ „์ด์˜ ์œ ํ˜•๋˜ํ•œ ๋ณ€ํ•˜๊ฒŒ ๋˜๋Š”๋ฐ, ๊ตฌ๋ผ๋ชจํ†  ๋ฐฉ์ •์‹์œผ๋กœ๋ถ€ํ„ฐ ์œ ๋„ํ•œ ์ž๊ธฐ์ผ๊ด€์„ฑ ๋ฐฉ์ •์‹(self-consistency equation)์„ ์‚ฌ์šฉํ•˜์—ฌ ์ด๋Ÿฌํ•œ ๊ฒฐ๊ณผ๋ฅผ ํ•ด์„์ ์œผ๋กœ ๋ถ„์„ํ•  ์ˆ˜ ์žˆ๋‹ค. ํ•˜์ง€๋งŒ, ์ด๋Ÿฌํ•œ ๋ฐฉ๋ฒ•์€ ์‹œ์Šคํ…œ์˜ ์•ˆ์ •์„ฑ๊ณผ ๊ฐ™์€ ์ƒ์„ธํ•œ ํŠน์ง•์„ ํŒŒ์•…ํ•˜๋Š” ๋ฐ์—๋Š” ์–ด๋ ค์›€์ด ์žˆ๋‹ค. ์ด ์—ฐ๊ตฌ์—์„œ๋Š”, ์ž๊ธฐ์ผ๊ด€์„ฑ ๋ฐฉ์ •์‹์„ ์ ๋ถ„ํ•˜์—ฌ ์œ ๋„ํ•œ ์œ ํšจํฌํ…์…œ ๋ฐฉ๋ฒ•๋ก ์„ ๋„์ž…ํ•˜์—ฌ, ์—ด์—ญํ•™์  ๊ทนํ•œ์— ์žˆ๋Š” ์‹œ์Šคํ…œ์— ๋Œ€ํ•˜์—ฌ 1์ฐจ ์ƒ์ „์ด, 2์ฐจ ์ƒ์ „์ด ๋ฟ๋งŒ ์•„๋‹ˆ๋ผ ํ•˜์ด๋ธŒ๋ฆฌ๋“œ ๋™๊ธฐํ™” ์ƒ์ „์ด๊ฐ€ ๋‚˜ํƒ€๋‚  ๋•Œ์˜ ํฌํ…์…œ ๊ฒฝ๊ด€(potential landscape)์„ ํŒŒ์•…ํ•˜์˜€์œผ๋ฉฐ, ํŠนํžˆ, ํ•˜์ด๋ธŒ๋ฆฌ๋“œ ์ƒ์ „์ด์—์„œ๋Š” ์œ ํšจ ํฌํ…์…œ์˜ ์ตœ์†Ÿ๊ฐ’์ด ์ž„๊ณ„์ ์—์„œ ํ‰ํ‰ํ•œ ํ˜•ํƒœ๋ฅผ ๋ณด์ธ๋‹ค๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜์˜€๋‹ค. ์ด๋Ÿฌํ•œ ๊ฒฐ๊ณผ๋“ค์€ ๋™๊ธฐํ™” ์ƒ์ „์ด์˜ ํ˜•ํƒœ๋ฅผ ํŒŒ์•…ํ•˜๋Š” ๋ฐ์— ์žˆ์–ด์„œ ์œ ํšจ ํฌํ…์…œ์ด ์ฃผ์š”ํ•œ ์—ญํ• ์„ ํ•ด์ค„ ์ˆ˜ ์žˆ์Œ์„ ์˜๋ฏธํ•œ๋‹ค. ๋‘๋ฒˆ์งธ ์—ฐ๊ตฌ์—์„œ๋Š”, ๋ฐ์ดํ„ฐ ๊ธฐ๋ฐ˜ ๋ฐฉ๋ฒ•๋ก ์ธ ๊ธฐ๊ณ„ํ•™์Šต์„ ์‚ฌ์šฉํ•˜์—ฌ ๊ฒฐํ•ฉ๋œ ์ง„๋™์ž๋“ค์˜ ์‹œ์Šคํ…œ์„ ํŒŒ์•…ํ•˜๊ณ , ์ด๋Ÿฌํ•œ ๋ฐฉ๋ฒ•์ด ์‹ค์ œ์˜ ์‹œ์Šคํ…œ์— ๋Œ€ํ•ด์„œ๋„ ํ™•์žฅ์ด ๊ฐ€๋Šฅํ•œ์ง€์— ๋Œ€ํ•˜์—ฌ ์—ฐ๊ตฌํ•˜์˜€๋‹ค. ์ตœ๊ทผ, ๊ณผํ•™๋ถ„์•ผ ๋ฟ๋งŒ์•„๋‹ˆ๋ผ ์—ฌ๋Ÿฌ ๋‹ค์–‘ํ•œ ๋ถ„์•ผ์—์„œ ๊ธฐ๊ณ„ํ•™์Šต์— ๋Œ€ํ•œ ๊ด€์‹ฌ์ด ๋†’์•„์ ธ ์™”๋Š”๋ฐ, ๋ฌผ๋ฆฌ์  ๊ณ„์— ๋Œ€ํ•ด์„œ๋„ ๊ธฐ๊ณ„ํ•™์Šต์„ ์ด์šฉํ•œ ๋ถ„๋ฅ˜ ๋ฐ ์ƒ์„ฑ ์ž‘์—…์„ ํ†ตํ•ด ๋งŽ์€ ๋ฐœ์ „์ด ์ด๋ฃจ์–ด์ ธ์™”๋‹ค. ๋ณธ ์—ฐ๊ตฌ์—์„œ๋Š”, ์—ฌ๋Ÿฌ ๊ธฐ๊ณ„ํ•™์Šต์˜ ๋ชจํ˜•๋“ค์„ ์ด์šฉํ•ด ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์—์„œ ๋ณด์ด๋Š” ๋™๊ธฐํ™” ์ƒ์ „์ด ๋ฐ ๋น„์„ ํ˜•, ์นด์˜ค์Šค ๋™์—ญํ•™์„ ๋ถ„์„ํ•˜์˜€๋‹ค. ์งˆ์„œ๋ณ€์ˆ˜์˜ ์‹œ๊ฐ„์— ๋”ฐ๋ฅธ ๋™์—ญํ•™์œผ๋กœ๋ถ€ํ„ฐ ์ง„๋™์ž๋“ค ์‚ฌ์ด์— ๋‚ด์žฌ๋œ ์ƒํ˜ธ์ž‘์šฉ์„ ์ฐพ๊ณ , ์ง„๋™์ž๋“ค์˜ ์œ„์ƒ์œผ๋กœ ๋ถ€ํ„ฐ ๋™๊ธฐํ™”๋œ ์ƒํƒœ์™€ ๋น„๋™๊ธฐํ™”๋œ ์ƒํƒœ๋ฅผ ๊ตฌ๋ถ„ํ•˜์—ฌ ์ž„๊ณ„์ ์„ ์ฐพ๋Š” ๋ฐ์— ๊ธฐ๊ณ„ํ•™์Šต ๋ฐฉ๋ฒ•์„ ์ ์šฉ์‹œ์ผœ ๋ณด์•˜๋‹ค. ์œ ํ•œ ํฌ๊ธฐ ์ถ•์  ๋ฐฉ๋ฒ•(finite-size scaling)์„ ์ด์šฉํ•˜์—ฌ ์ด๋Ÿฌํ•œ ๊ฒฐ๊ณผ๋“ค์ด ๊ธฐ์กด์˜ ์•Œ๋ ค์ง„ ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์— ๋Œ€ํ•œ ๋ˆˆ๊ธˆ ๋ฐ”๊ฟˆ ํ–‰ํƒœ(scaling behavior)์˜ ๊ฒฐ๊ณผ์™€ ์ผ๊ด€์„ฑ์ด ์žˆ๋Š” ๊ฒƒ์„ ํ™•์ธํ•˜์˜€๋‹ค. ๋˜ํ•œ, ๋ชจ๋“  ์ง„๋™์ž๋“ค์˜ ์œ„์ƒ ๋™์—ญํ•™์„ ์ธ๊ณต ์‹ ๊ฒฝ๋ง์— ์ž…๋ ฅ์œผ๋กœ ๋„ฃ์–ด์คŒ์œผ๋กœ์จ, ์ง„๋™์ž๋“ค์˜ ์ดํ›„์˜ ๋™์—ญํ•™ ํ–‰ํƒœ๋ฅผ ํŒŒ์•…ํ•  ๋ฟ๋งŒ ์•„๋‹ˆ๋ผ, ๊ธฐ์ €์— ๊น”๋ ค ์žˆ๋Š” ์‹ค์ œ ์ฅ์˜ ์‹œ๊ฐ ํ”ผ์งˆ ๋„คํŠธ์›Œํฌ๋ฅผ ์•Œ์•„๋‚ด๋Š” ์—ฐ๊ตฌ๋ฅผ ์ง„ํ–‰ํ•˜์˜€๋‹ค. ๋”ฐ๋ผ์„œ, ๋™๊ธฐํ™” ํ˜„์ƒ ๋ฐ ๋น„์„ ํ˜• ๋™์—ญํ•™์„ ๋ณด์ด๋Š” ์—ฌ๋Ÿฌ ์‹ค์ œ์˜ ์‹œ์Šคํ…œ๋“ค์— ๋Œ€ํ•œ ๊ตฌ๋ผ๋ชจํ†  ๋ชจํ˜•์˜ ์‘์šฉ์ด ๊ฐ€๋Šฅํ•จ์— ๋”ฐ๋ผ, ๋ณธ ์—ฐ๊ตฌ๋Š” ๊ทธ๋Ÿฌํ•œ ์‹œ์Šคํ…œ์— ๋Œ€ํ•ด์„œ๋„ ๊ธฐ๊ณ„ํ•™์Šต ๋ฐฉ๋ฒ•์„ ํ™œ์šฉํ•  ์ˆ˜ ์žˆ๋Š” ๊ฐ€๋Šฅ์„ฑ์„ ๋‚ดํฌํ•œ๋‹ค.1 Introduction 1 1.1 Complex network 1 1.2 Coupled oscillators on complex networks 2 1.3 Machine learning 3 2 Synchronization of coupled oscillators 6 2.1 Synchronization 6 2.2 Coupled oscillators 7 2.3 The Kuramoto model 8 2.4 Natural frequency 9 2.4.1 Gaussian distribution 9 2.4.2 Lorentzian distribution 10 2.4.3 Uniform distribution 10 2.5 Sampling of natural frequency 10 2.5.1 Random sampling 11 2.5.2 Regular sampling 11 2.6 Order parameter 13 2.7 Phase transition 14 2.7.1 Synchronization transition 14 2.7.2 Hybrid phase transition 15 2.7.3 Type of synchronization transition 16 2.8 Finite-size scaling 18 2.8.1 Critical exponents 19 2.8.2 Finite-size effect 20 3 Effective potential approach to synchronization transition 26 3.1 Analytic approaches to the Kuramoto model 29 3.1.1 Self-consistency analysis 29 3.1.2 Ott-Antonsen ansatz 31 3.2 Ad hoc free energy 33 3.3 Second-order synchronization transition 37 3.4 First-order synchronization transition 38 3.4.1 Degree-frequency correlation on scale-free network with 2 < ฮป < 3 38 3.4.2 Dependence of interaction strength on the frequency 42 3.5 Hybrid synchronization transition 45 3.5.1 Uniform distribution g(ฯ‰) 45 3.5.2 Degree-frequency correlation on scale-free networks with ฮป = 3 49 3.5.3 Flat distribution with exponential tails 50 3.5.4 Flat distribution with power-law tails 51 3.6 Summary 55 4 Machine learning approaches to coupled oscillators 56 4.1 Machine learning models 57 4.1.1 Feed-forward neural network 58 4.1.2 Fully-connected neural network 59 4.1.3 Convolutional neural network 59 4.1.4 Recurrent neural network 59 4.1.5 Reservoir computing 59 4.2 Supervised learning 61 4.3 Finding the coupling strength 62 4.4 Finding the synchronized state 65 4.5 Application I : Prediction of the phase dynamics 68 4.6 Application II : Reconstruction of the network structure 72 4.7 Summary 74 5 Conclusion 76 Appendices 79 Appendix A Numerical simulation method 80 A.1 Runge-Kutta method 80 A.2 Kahan summation 82 A.3 Simulation of the Kuramoto equation 82 Appendix B Asymmetric interaction-frequency correlated model 84 Appendix C Effective potential approaches for finite size systems 87 C.1 Random sampling of frequencies 87 C.2 Regular sampling of frequencies 91 C.3 Trapped at metastable states 92 Bibliography 100 Abstract in Korean 108Docto

    Bee Hive Monitoring System - Solutions for the automated health monitoring

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    Cerca de um terรงo da produรงรฃo global de alimentos depende da polinizaรงรฃo das abelhas, tornando-as vitais para a economia mundial. No entanto, existem diversas ameaรงas ร  sobrevivรชncia das espรฉcies de abelhas, tais como incรชndios florestais, stress humano induzido, subnutriรงรฃo, poluiรงรฃo, perda de biodiversidade, agricultura intensiva e predadores como as vespas asiรกticas. Destes problemas, pode-se observar um aumento da necessidade de soluรงรตes automatizadas que possam auxiliar na monitorizaรงรฃo remota de colmeias de abelhas. O objetivo desta tese รฉ desenvolver soluรงรตes baseadas em Aprendizagem Automรกtica para problemas que podem ser identificados na apicultura, usando tรฉcnicas e conceitos de Deep Learning, Visรฃo Computacional e Processamento de Sinal. Este documento descreve o trabalho da tese de mestrado, motivado pelo problema acima exposto, incluindo a revisรฃo de literatura, anรกlise de valor, design, planeamento de testes e validaรงรฃo e o desenvolvimento e estudo computacional das soluรงรตes. Concretamente, o trabalho desta tese de mestrado consistiu no desenvolvimento de soluรงรตes para trรชs problemas โ€“ classificaรงรฃo da saรบde de abelhas a partir de imagens e a partir de รกudio, e deteรงรฃo de abelhas e vespas asiรกticas. Os resultados obtidos para a classificaรงรฃo da saรบde das abelhas a partir de imagens foram significativamente satisfatรณrios, excedendo os que foram obtidos pela metodologia definida no trabalho base utilizado para a tarefa, que foi encontrado durante a revisรฃo da literatura. No caso da classificaรงรฃo da saรบde das abelhas a partir de รกudio e da deteรงรฃo de abelhas e vespas asiรกticas, os resultados obtidos foram modestos e demonstram potencial aplicabilidade das respetivas metodologias desenvolvidas nos problemas-alvo. Pretende-se que as partes interessadas desta tese consigam obter informaรงรตes, metodologias e perceรงรตes adequadas sobre o desenvolvimento de soluรงรตes de IA que possam ser integradas num sistema de monitorizaรงรฃo da saรบde de abelhas, incluindo custos e desafios inerentes ร  implementaรงรฃo das soluรงรตes. O trabalho futuro desta dissertaรงรฃo de mestrado consiste em melhorar os resultados dos modelos de classificaรงรฃo da saรบde das abelhas a partir de รกudio e de deteรงรฃo de objetos, incluindo a publicaรงรฃo de artigos para obter validaรงรฃo pela comunidade cientรญfica.Up to one third of the global food production depends on the pollination of honey bees, making them vital for the world economy. However, between forest fires, human-induced stress, poor nutrition, pollution, biodiversity loss, intensive agriculture, and predators such as Asian Hornets, there are plenty of threats to the honey bee speciesโ€™ survival. From these problems, a rise of the need for automated solutions that can aid with remote monitoring of bee hives can be observed. The goal of this thesis is to develop Machine Learning based solutions to problems that can be identified in beekeeping and apiculture, using Deep Learning, Computer Vision and Signal Processing techniques and concepts. The current document describes master thesisโ€™ work, motivated from the above problem statement, including the literature review, value analysis, design, testing and validation planning and the development and computational study of the solutions. Specifically, this master thesisโ€™ work consisted in developing solutions to three problems โ€“ bee health classification through images and audio, and bee and Asian wasp detection. Results obtained for the bee health classification through images were significantly satisfactory, exceeding those reported by the baseline work found during literature review. On the case of bee health classification through audio and bee and Asian wasp detection, these obtained results were modest and showcase potential applicability of the respective developed methodologies in the target problems. It is expected that stakeholders of this thesis obtain adequate information, methodologies and insights into the development of AI solutions that can be integrated in a bee health monitoring system, including inherent costs and challenges that arise with the implementation of the solutions. Future work of this master thesis consists in improving the results of the bee health classification through audio and the object detection models, including publishing of papers to seek validation by the scientific community

    Sports Data Mining Technology Used in Basketball Outcome Prediction

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    Driven by the increasing comprehensive data in sports datasets and data mining technique successfully used in different area, sports data mining technique emerges and enables us to find hidden knowledge to impact the sport industry. In many instances, predicting the outcomes of sporting events has always been a challenging and attractive work and is therefore drawing a wide concern to conduct research in this field. This project focuses on using machine learning algorithms to build a model for predicting the NBA game outcomes and the algorithms involve Simple Logistics Classifier, Artificial Neural Networks, SVM and Naรฏve Bayes. In order to complete a convincing result, data of 5 regular NBA seasons was collected for model training and data of 1 NBA regular season was used as scoring dataset. After processes of automated data collection and cloud techniques enabled data management, a data mart containing NBA statistics data is built. Then machine learning models mentioned above is trained and tested by consuming data in the data mart. After applying scoring dataset to evaluate the model accuracy, Simple Logistics Classifier finally yields the best result with an accuracy of 69.67%. The results obtained are compared to other methods from different source. It was found that results of this project are more persuasive since such a vast quantity of data was applied in this project. Meanwhile, it can be referenced for the future work

    Law Informs Code: A Legal Informatics Approach to Aligning Artificial Intelligence with Humans

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    We are currently unable to specify human goals and societal values in a way that reliably directs AI behavior. Law-making and legal interpretation form a computational engine that converts opaque human values into legible directives. "Law Informs Code" is the research agenda embedding legal knowledge and reasoning in AI. Similar to how parties to a legal contract cannot foresee every potential contingency of their future relationship, and legislators cannot predict all the circumstances under which their proposed bills will be applied, we cannot ex ante specify rules that provably direct good AI behavior. Legal theory and practice have developed arrays of tools to address these specification problems. For instance, legal standards allow humans to develop shared understandings and adapt them to novel situations. In contrast to more prosaic uses of the law (e.g., as a deterrent of bad behavior through the threat of sanction), leveraged as an expression of how humans communicate their goals, and what society values, Law Informs Code. We describe how data generated by legal processes (methods of law-making, statutory interpretation, contract drafting, applications of legal standards, legal reasoning, etc.) can facilitate the robust specification of inherently vague human goals. This increases human-AI alignment and the local usefulness of AI. Toward society-AI alignment, we present a framework for understanding law as the applied philosophy of multi-agent alignment. Although law is partly a reflection of historically contingent political power - and thus not a perfect aggregation of citizen preferences - if properly parsed, its distillation offers the most legitimate computational comprehension of societal values available. If law eventually informs powerful AI, engaging in the deliberative political process to improve law takes on even more meaning.Comment: Forthcoming in Northwestern Journal of Technology and Intellectual Property, Volume 2

    The Baby project: processing character patterns in textual representations of language.

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    This thesis describes an investigation into a proposed theory of AI. The theory postulates that a machine can be programmed to predict aspects of human behaviour by selecting and processing stored, concrete examples of previously experienced patterns of behaviour. Validity is tested in the domain of natural language. Externalisations that model the resulting theory of NLP entail fuzzy components. Fuzzy formalisms may exhibit inaccuracy and/or over productivity. A research strategy is developed, designed to investigate this aspect of the theory. The strategy includes two experimental hypotheses designed to test, 1) whether the model can process simple language interaction, and 2) the effect of fuzzy processes on such language interaction. Experimental design requires three implementations, each with progressive degrees of fuzziness in their processes. They are respectively named: Nonfuzz Babe, CorrBab and FuzzBabe. Nonfuzz Babe is used to test the first hypothesis and all three implementations are used to test the second hypothesis. A system description is presented for Nonfuzz Babe. Testing the first hypothesis provides results that show NonfuzzBabe is able to process simple language interaction. A system description for CorrBabe and FuzzBabe is presented. Testing the second hypothesis, provides results that show a positive correlation between degree of fuzzy processes and improved simple language performance. FuzzBabe's ability to process more complex language interaction is then investigated and model-intrinsic limitations are found. Research to overcome this problem is designed to illustrate the potential of externalisation of the theory and is conducted less rigorously than previous part of this investigation. Augmenting FuzzBabe to include fuzzy evaluation of non-pattern elements of interaction is hypothesised as a possible solution. The term FuzzyBaby was coined for augmented implementation. Results of a pilot study designed to measure FuzzyBaby's reading comprehension are given. Little research has been conducted that investigates NLP by the fuzzy processing of concrete patterns in language. Consequently, it is proposed that this research contributes to the intellectual disciplines of NLP and AI in general

    Comprehensive Taxonomies of Nature- and Bio-inspired Optimization: Inspiration versus Algorithmic Behavior, Critical Analysis and Recommendations

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    In recent years, a great variety of nature- and bio-inspired algorithms has been reported in the literature. This algorithmic family simulates different biological processes observed in Nature in order to efficiently address complex optimization problems. In the last years the number of bio-inspired optimization approaches in literature has grown considerably, reaching unprecedented levels that dark the future prospects of this field of research. This paper addresses this problem by proposing two comprehensive, principle-based taxonomies that allow researchers to organize existing and future algorithmic developments into well-defined categories, considering two different criteria: the source of inspiration and the behavior of each algorithm. Using these taxonomies we review more than three hundred publications dealing with nature-inspired and bio-inspired algorithms, and proposals falling within each of these categories are examined, leading to a critical summary of design trends and similarities between them, and the identification of the most similar classical algorithm for each reviewed paper. From our analysis we conclude that a poor relationship is often found between the natural inspiration of an algorithm and its behavior. Furthermore, similarities in terms of behavior between different algorithms are greater than what is claimed in their public disclosure: specifically, we show that more than one-third of the reviewed bio-inspired solvers are versions of classical algorithms. Grounded on the conclusions of our critical analysis, we give several recommendations and points of improvement for better methodological practices in this active and growing research field.Comment: 76 pages, 6 figure
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