Archetypal analysis Research Papers - Academia.edu (original) (raw)

Statistics and analytic methods are becoming increasingly important in basketball. In particular, predicting players' performance using past observations is a considerable challenge. The purpose of this study is to forecast the future behavior of basketball players. The available data are sparse functional data, which are very common in sports. So far, however, no forecasting method designed for sparse functional data has been used in sports. A methodology based on two methods to handle sparse and irregular data, together with the analogous method and functional archetypoid analysis is proposed. Results in comparison with traditional methods show that our approach is competitive and additionally provides prediction intervals. The methodology can also be used in other sports when sparse longitudinal data are available.

- by rudolph bauer
- •
- Critical Theory, Religion, Gnosticism, Buddhism
- by rudolph bauer
- •
- Critical Theory, Religion, Hinduism, Comparative Religion

Carl Jung describes how the human unconscious is the hidden cosmological archetypal dimension of our being in the world. There is the personal unconscious that reflects personal history and experience either forgotten or foreclosed. There is another unconscious that is more primary, pre-reflective and cosmological in origin. In the language of the ancient Phenomenological Dzogchen tradition of Tibetan Buddhism, this existential dimension of archetypal manifestation is called the Sambogakaya realm of experience. This is the subtle realm of lucid forms of light and energy and vortices. These forms of light and energy field configurations become everything and anything. The Sambogakaya dimension manifests the Nirmanakaya dimension. The Nirmanakaya dimension is the actual experience of our self in contextual situations, unfolding through time and space as well as our unfolding of our personal psychological experience. Nirmanakaya is the dimension of our ordinary life world. Nirmanakaya is our being in the world. There is one more dimension. This dimension is the primordial foundational ground of everything and anything. In the ancient tradition of Dzogchen this is named as the Dharmakaya. Dharmakaya is the existential dimension of pure potentiality, pure creativity from which everything and anything manifests. Dharmakaya manifests the Sambogakaya. Dharmakaya is ground awareness, the ground of being. Dharmakaya is Being. Being is not a being but Being manifesting being as infinite numbers of numerous beings. All beings are the manifestation of Being. Dharmakaya is not an entity but manifests infinite numbers of entities.

- by rudolph bauer
- •
- Critical Theory, Religion, Buddhism, Comparative Religion
- by rudolph bauer
- •
- Critical Theory, Buddhism, Sociology, Social Theory

Se presenta una propuesta para el análisis interpretativo del icono conocido como ‘Señor de los Cetros’ (tomando como soportes tanto a las tabletas para el uso de psicoactivos, como al arte rupestre) desde un marco teórico simbólico... more

- by Macarena López Oliva and +1
- •
- Archaeology, Anthropology, Iconography, Andean Archaeology

In an attempt to learn from the wisdom of the past, this paper analyzes the architectural design of a traditional courtyard house of Lahore, known as the Barood Khana Haveli. For this purpose, the archetypal level of the 'Deep Beauty Framework' is explored to find out the presence of geometry, number and proportion, as well as the inclusion of the four survival characteristics given by Grant Hildebrand (2008): complex order, prospect, refuge, enticement and peril. Among the various design strategies that are found in the haveli, this research discovers the use of root rectangles in the plans and geometric patterns of the six and eight-point stars in the decorative details. Examination of the prospect claiming courtyards, refuge spaces such as the verandahs, and paths that turn and disappear, offer inspirational ways in which designers can create more meaningful and life enhancing architectural experiences.

- by Rabia A Qureshi and +2
- •
- Architecture, Geometry, Archetypal analysis, Courtyard Design

Archetypal analysis approximates data by means of mixtures of actual extreme cases (archetypoids) or archetypes, which are a convex combination of cases in the data set. Archetypes lie on the boundary of the convex hull. This makes the analysis very sensitive to outliers. A robust methodology by means of M-estimators for classical multivariate and functional data is proposed. This unsupervised methodology allows complex data to be understood even by non-experts. The performance of the new procedure is assessed in a simulation study, where a comparison with a previous methodology for the multivariate case is also carried out, and our proposal obtains favorable results. Finally, robust bivariate functional archetypoid analysis is applied to a set of companies in the S&P 500 described by two time series of stock quotes. A new graphic representation is also proposed to visualize the results. The analysis shows how the information can be easily interpreted and how even non-experts can gain a qualitative understanding of the data.

In deploying social media and other information technologies often not designed with MENA (the Middle East and North Africa) cultures in mind, users generate creative approaches to self-representation using virtual identities while preserving their cultural values. To understand and further empower such approaches, we present a mixed-method of computational and qualitative study, focusing on Qatar as a case of such communities in the MENA region. We analyzed a dataset of over 42,000 publicly available social media profiles using computational approaches (archetypal analysis) and qualitatively analyzed a separate set of 255 profiles. We augmented our descriptions with semi-structured interviews. As a result, we delineate a set of five needs/values exhibited by Qatari users supporting their creativity in effectively using virtual identities: Khaleeji 1 features, self-expression, social connections, social monitoring, and physical and virtual identity contrasts. Finally, we propose an initial set of guidelines to support developers of virtual identity systems in better serving these users while preserving their cultural values and creative agency.

- by Sercan Şengün
- •
- Social Media, Qualitative Research, Virtual Identity, Qatar

Texture segmentation is one of the main tasks in image applications, specifically in remote sensing, where the objective is to segment high-resolution images of natural landscapes into different cover types. Often the focus is on the selection of discriminant textural features, and although these are really fundamental, there is another part of the process that is also influential, partitioning different homogeneous textures into groups. A methodology based on archetype analysis (AA) of the local textural measurements is proposed. AA seeks the purest textures in the image and it can find the borders between pure textures, as those regions composed of mixtures of several archetypes. The proposed procedure has been tested on a remote sensing image application with local granulometries, providing promising results.

Archetypoid analysis (ADA) is an exploratory approach that explains a set of continuous observations as mixtures of pure (extreme) patterns. Those patterns (archetypoids) are actual observations of the sample which makes the results of this technique easily interpretable, even for non-experts. Note that the observations are approximated as a convex combination of the archetypoids. Archetypoid analysis, in its current form, cannot be applied directly to ordinal data. We propose and describe a two-step method for applying ADA to ordinal responses based on the ordered stereotype model. One of the main advantages of this model is that it allows us to convert the ordinal data to numerical values, using a new data-driven spacing that better reflects the ordinal patterns of the data, and this numerical conversion then enables us to apply ADA straightforwardly. The results of the novel method are presented for two behavioural science applications. Finally, the proposed method is also compar...

- by Louise McMillan
- •
- Engineering, Psychology, Unsupervised Learning Techniques, Mathematical Sciences

The taxonomy of foot shapes or other parts of the body is important, especially for design purposes. We propose a methodology based on archetypoid analysis (ADA) that overcomes the weaknesses of previous methodologies used to establish typologies. ADA is an objective, data-driven methodology that seeks extreme patterns, the archetypal profiles in the data. ADA also explains the data as percentages of the archetypal patterns, which makes this technique understandable and accessible even for non-experts. Clustering techniques are usually considered for establishing taxonomies, but we will show that finding the purest or most extreme patterns is more appropriate than using the central points returned by clustering techniques. We apply the methodology to an anthropometric database of 775 3D right foot scans representing the Spanish adult female and male population for footwear design. Each foot is described by a 5626 × 3 configuration matrix of landmarks. No multivari-ate features are used for establishing the taxonomy, but all the information gathered from the 3D scanning is employed. We use ADA for shapes described by landmarks. Women's and men's feet are analyzed separately. We have analyzed 3 archetypal feet for both men and women. These archetypal feet could not have been recovered using multivariate techniques.

- by Irene Epifanio
- •
- Landmarks, Archetypal analysis, Statistical Shape Analysis

Archetype and archetypoid analysis can be extended to functional data. Each function is approximated by a convex combination of actual observations (functional archetypoids) or functional archetypes, which are a convex combination of observations in the data set. Well-known Canadian temperature data are used to illustrate the analysis developed. Computational methods are proposed for performing these analyses, based on the coefficients of a basis. Unlike a previous attempt to compute functional archetypes, which was only valid for an orthogonal basis, the proposed methodology can be used for any basis. It is computationally less demanding than the simple approach of discretizing the functions. Multivariate functional archetype and archetypoid analysis are also introduced and applied in an interesting problem about the study of human development around the world over the last 50 years. These tools can contribute to the understanding of a functional data set, as in the classical multivariate case.