Nonparametric Methods in Change-Point Problems

Brodsky, Boris; Darkhovsky, B. S.

doi:10.1007/978-94-015-8163-9

Cited by 509 publications

(395 citation statements)

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“…Lastly, there are only 4-5 classes of such whole-brain microstates; with this limited number of states it is very difficult to explain the extremely high number of cognitive and mental/conscious states. 72 In mathematical statistics this is known as the "change-point problem" [476]. milliseconds and indicates the functional life-span of neuronal assembly or the duration of operation produced by this assembly: Since the transient neuronal assembly functions during a particular time interval, this period is reflected in the EEG as a stabilized interval of quasi-stationary activity [258,434,449].…”

Section: Mechanismmentioning

confidence: 99%

Natural world physical, brain operational, and mind phenomenal space–time

Fingelkurts

Neves

2010

Physics of Life Reviews

168

233

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Concepts of space and time are widely developed in physics. However, there is a considerable lack of biologically plausible theoretical frameworks that can demonstrate how space and time dimensions are implemented in the activity of the most complex life-system -the brain with a mind. Brain activity is organized both temporally and spatially, thus representing space-time in the brain. Critical analysis of recent research on the space-time organization of the brain's activity pointed to the existence of so-called operational space-time in the brain. This space-time is limited to the execution of brain operations of differing complexity. During each such brain operation a particular short-term spatio-temporal pattern of integrated activity of different brain areas emerges within related operational space-time. At the same time, to have a fully functional human brain one needs to have a subjective mental experience. Current research on the subjective mental experience offers detailed analysis of space-time organization of the mind. According to this research, subjective mental experience (subjective virtual world) has definitive spatial and temporal properties similar to many physical phenomena. Based on systematic review of the propositions and tenets of brain and mind space-time descriptions, our aim in this review essay is to explore the relations between the two. To be precise, we would like to discuss the hypothesis that via the brain operational space-time the mind subjective space-time is connected to otherwise distant physical space-time reality.Key words: spatial, temporal, consciousness, cognition, operation, architectonics, EEG, field, metastability, physics, coordinative dynamics, self-organization, cortex.

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Section: Mechanismmentioning

confidence: 99%

Natural world physical, brain operational, and mind phenomenal space–time

Fingelkurts

Neves

2010

Physics of Life Reviews

168

233

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“…One problem that we have in our case is that we do not know the probability distribution for an attack p 1 . In general, an adaptive adversary can select any arbitrary (and possibly) non-stationary sequence z i (k).…”

Section: Change Detectionmentioning

confidence: 99%

“…Modern day industrial control systems have a multi-layer structure [11]. The overall objectives of such a control structure are: (1) to maintain safe operational goals by limiting the probability of undesirable behavior, (2) to meet the production demands by keeping certain process values within prescribed limits, (3) to maximize production profit. Several control applications can be labeled as safety-critical: their failure can cause irreparable harm to the physical system being controlled and to the people who depend on it.…”

Section: Introductionmentioning

confidence: 99%

A New Method Against Attacks on Networked Industrial Control Systems

Truong¹,

Tu²

2017

Fair - Nghiên Cứu Cơ Bản Và Ứng Dụng Công Nghệ Thông Tin - 2016

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“…Detecting abrupt changes in time-series data, called change-point detection, has attracted researchers in the statistics and data mining communities for decades (Basseville and Nikiforov, 1993;Gustafsson, 2000;Brodsky and Darkhovsky, 1993). Depending on the delay of detection, change-point detection methods can be classified into two categories: Real-time detection (Adams and MacKay, 2007;Garnett et al, 2009;Paquet, 2007) and retrospective detection (Basseville and Nikiforov, 1993;Takeuchi and Yamanishi, 2006;Moskvina and Zhigljavsky, 2003a).…”

Section: Introductionmentioning

confidence: 99%

“…As alter- natives, non-parametric methods such as kernel density estimation (Csörgö and Horváth, 1988;Brodsky and Darkhovsky, 1993) are designed with no particular parametric assumption. However, they tend to be less accurate in high-dimensional problems because of the so-called curse of dimensionality (Bellman, 1961;Vapnik, 1998).…”

Section: Introductionmentioning

confidence: 99%

Change-point detection in time-series data by relative density-ratio estimation

Yamada²,

et al. 2013

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The objective of change-point detection is to discover abrupt property changes lying behind time-series data. In this paper, we present a novel statistical changepoint detection algorithm based on non-parametric divergence estimation between time-series samples from two retrospective segments. Our method uses the relative Pearson divergence as a divergence measure, and it is accurately and efficiently estimated by a method of direct density-ratio estimation. Through experiments on artificial and real-world datasets including human-activity sensing, speech, and Twitter messages, we demonstrate the usefulness of the proposed method.

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Nonparametric Methods in Change-Point Problems

Cited by 509 publications

References 0 publications

Natural world physical, brain operational, and mind phenomenal space–time

Natural world physical, brain operational, and mind phenomenal space–time

A New Method Against Attacks on Networked Industrial Control Systems

Change-point detection in time-series data by relative density-ratio estimation

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