Pattern Theory: A Unifying Perspective

Pattern Theory provides a comprehensive and accessible overview of the modern challenges in signal, data, and pattern analysis in speech recognition, computational linguistics, image analysis and computer vision. Aimed at graduate students in biomedical engineering, mathematics, computer science, and electrical engineering with a good background in mathematics and probability, the text includes numerous exercises and an extensive bibliography. Additional resources including extended proofs, selected solutions and examples are available on a companion website. The book commences with a short overview of pattern theory and the basics of statistics and estimation theory. Chapters 3-6 discuss the role of representation of patterns via condition structure. Chapters 7 and 8 examine the second central component of pattern theory: groups of geometric transformation applied to the representation of geometric objects. Chapter 9 moves into probabilistic structures in the continuum, studying random processes and random fields indexed over subsets of Rn. Chapters 10 and 11 continue with transformations and patterns indexed over the continuum. Chapters 12-14 extend from the pure representations of shapes to the Bayes estimation of shapes and their parametric representation. Chapters 15 and 16 study the estimation of infinite dimensional shape in the newly emergent field of Computational Anatomy. Finally, Chapters 17 and 18 look at inference, exploring random sampling approaches for estimation of model order and parametric representing of shapes.

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Construction of Landscape Fire Security Patterns for Minority Settlements: a case study of reconstruction plan of Xiaozhai village in Guangxi

E3S Web of Conferences ◽

10.1051/e3sconf/202019405035 ◽

2020 ◽

Vol 194 ◽

pp. 05035

Author(s):

Manni Wu ◽

Wenjun Zheng ◽

Zonglin Liu

Keyword(s):

Fire Protection ◽

Water System ◽

Forest Belt ◽

Natural Fire ◽

Pattern Theory ◽

Planning And Design ◽

Security Pattern ◽

Resource Characteristics ◽

Landscape Ecological ◽

The Village

Minority settlements have good local landscape features and rich cultural heritage. However, due to complex geographical conditions and lagging economic development, there are many potential security threats in their human settlements. Based on the landscape ecological security pattern theory, aiming at eliminating the practical dilemma of frequent fires and difficult rescue in mountainous settlements in southwestern China, this paper proposes a planning idea to improve the settlement environment’s own disaster resilience and ecological endurance ability through the adjustment of landscape pattern. Taking the reconstruction planning and design of Xiaozhai Village in Longji of Guangxi province as an example, based on the geographical structure and resource characteristics of the village, a four-in-one landscape fire security pattern for mountain settlement is constructed, including building group, road evacuation system, natural fire protection network of water system and biological fire protection forest belt. The study provides a reference for the protection, renewal and re-planning of minority settlement.

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Personalized crime location prediction

European Journal of Applied Mathematics ◽

10.1017/s0956792516000140 ◽

2016 ◽

Vol 27 (3) ◽

pp. 422-450 ◽

Cited By ~ 4

Author(s):

MOHAMMAD A. TAYEBI ◽

UWE GLÄSSER ◽

MARTIN ESTER ◽

PATRICIA L. BRANTINGHAM

Keyword(s):

Law Enforcement ◽

Urban Crime ◽

Crime Analysis ◽

Urban Landscapes ◽

Location Prediction ◽

Prevention Strategies ◽

Pattern Theory ◽

Activity Spaces ◽

Crime Pattern Theory ◽

Crime Pattern

Crime reduction and prevention strategies are vital for policymakers and law enforcement to face inevitable increases in urban crime rates as a side effect of the projected growth of urban population by the year 2030. Studies conclude that crime does not occur uniformly across urban landscapes but concentrates in certain areas. This phenomenon has drawn attention to spatial crime analysis, primarily focusing on crime hotspots, areas with disproportionally higher crime density. In this paper, we present CrimeTracer1, a personalized random walk-based approach to spatial crime analysis and crime location prediction outside of hotspots. We propose a probabilistic model of spatial behaviour of known offenders within their activity spaces. Crime Pattern Theory concludes that offenders, rather than venture into unknown territory, frequently select targets in or near places they are most familiar with as part of their activity space. Our experiments on a large real-world crime dataset show that CrimeTracer outperforms all other methods used for location recommendation we evaluate here.

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Advances in Pattern Theory

The Annals of Statistics ◽

10.1214/aos/1176347002 ◽

1989 ◽

Vol 17 (1) ◽

pp. 1-30 ◽

Cited By ~ 27

Author(s):

Ulf Grenander

Keyword(s):

Pattern Theory

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Gustatory responses of cortical neurons in rats. II. Information processing of taste quality

Journal of Neurophysiology ◽

10.1152/jn.1985.53.6.1356 ◽

1985 ◽

Vol 53 (6) ◽

pp. 1356-1369 ◽

Cited By ~ 67

Author(s):

T. Yamamoto ◽

N. Yuyama ◽

T. Kato ◽

Y. Kawamura

Keyword(s):

Cortical Neurons ◽

Neural Coding ◽

Response Pattern ◽

Present Report ◽

Correlation Coefficients ◽

Taste Quality ◽

Pattern Theory ◽

Response Characteristics ◽

Basic Taste ◽

Neuron Response

The present report was designed to investigate neural coding of taste information in the cerebral cortical taste area of rats. The magnitude and/or type (excitatory, inhibitory, or no-response) of responses of 111 cortical neurons evoked by single concentrations of the four basic taste stimuli (sucrose, NaCl, HCl, and quinine HCl) were subjected to four types of analyses in the context of the four proposed hypotheses of taste-quality coding: across-neuron response-pattern, labeled-line, matrix-pattern, and across-region response-pattern notions (88 histologically located neurons). An across-neuron response-pattern notion assumes that taste quality is coded by differential magnitudes of response across many neurons. This theory utilizes across-neuron correlation coefficients as a metric for the evaluation of taste quality coding. Across-neuron correlations between magnitudes of responses to any pairs of the four basic taste stimuli across 111 cortical neurons were very high and were similar. However, calculations made with net responses (spontaneous rate subtracted) resulted in less positive correlations but still similar values among the various pairs of taste stimuli. This finding suggests that across-neuron response patterns of cortical neurons become less discriminating among taste qualities compared with those of the lower-order neurons. A labeled-line notion assumes that there are identifiable groups of neurons and that taste quality is coded by activity in these particular sets of neurons. Some investigators have classified taste-responsive neurons into best-stimulus categories, depending on their best sensitivity to any one of the four basic stimuli, such as sucrose-best, NaCl-best, HCl-best, and quinine-best neurons; they have suggested that taste can be classified along four qualitative dimensions that correspond to these four neuron types (i.e., four labeled lines). The present study shows that responsiveness of each of the four best-stimulus neurons had similar profiles between peripheral and cortical levels. That is, when the stimuli were arranged along the abscissa in the order of sucrose, NaCl, HCl, and quinine, there is a peak response in one place, and the responses decreased gradually from the peak. However, such response characteristics do not favor the labeled-line theory, since they can be explained in the context of the across-neuron pattern theory. A matrix-pattern notion assumes that taste quality is coded by a spatially arranged matrix pattern of activated neurons.(ABSTRACT TRUNCATED AT 400 WORDS)

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