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The Garden of Knowledge as a Knowledge Manifold  A Conceptual Framework for Computer Supported Subjective Education
 CID17, TRITANAD9708, DEPARTMENT OF NUMERICAL ANALYSIS AND COMPUTING SCIENCE
, 1997
"... This work presents a unied patternbased epistemological framework, called a Knowledge Manifold, for the description and extraction of knowledge from information. Within this framework it also presents the metaphor of the Garden Of Knowledge as a constructive example. Any type of KM is defined in te ..."
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Cited by 22 (14 self)
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This work presents a unied patternbased epistemological framework, called a Knowledge Manifold, for the description and extraction of knowledge from information. Within this framework it also presents the metaphor of the Garden Of Knowledge as a constructive example. Any type of KM is defined in terms of its objective calibration protocols  procedures that are implemented on top of the participating subjective knowledgepatches. They are the procedures of agreement and obedience that characterize the coherence of any type of interaction, and which are used here in order to formalize the concept of participator consciousness in terms of the inversedirect limit duality of Category Theory.
Technology Overview: A Report on Data Mining
, 1995
"... : In this report we present a technology assessment of a spectrum of mathematical methods and software techniques for data mining, i.e., for finding patterns and regularities in sets of data. After an introduction to the subject, the second part of the paper describes the essentials of a variety of ..."
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: In this report we present a technology assessment of a spectrum of mathematical methods and software techniques for data mining, i.e., for finding patterns and regularities in sets of data. After an introduction to the subject, the second part of the paper describes the essentials of a variety of methods for data mining through supervised and unsupervised learning. In the third part of the report we present results from the application of data mining techniques to different application areas such as chemical and pharmaceutical chemistry, retail and consumer banking, remote sensing, and the handling of engineering and maintenance data. Karsten M. Decker CSCSETH, Swiss Scientific Computing Center, CH6928 Manno Sergio Focardi The Intertek Group, F75015 Paris Copyright c fl CSCSETH, Swiss Scientific Computing Center, 1995 Technical Report TABLE OF CONTENTS Table of Contents 1 Introduction : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : : 1 2 The...
Computers, Reasoning and Mathematical Practice
"... ion in itself is not the goal: for Whitehead [117]"it is the large generalisation, limited by a happy particularity, which is the fruitful conception." As an example consider the theorem in ring theory, which states that if R is a ring, f(x) is a polynomial over R and f(r) = 0 for every element of ..."
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Cited by 6 (2 self)
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ion in itself is not the goal: for Whitehead [117]"it is the large generalisation, limited by a happy particularity, which is the fruitful conception." As an example consider the theorem in ring theory, which states that if R is a ring, f(x) is a polynomial over R and f(r) = 0 for every element of r of R then R is commutative. Special cases of this, for example f(x) is x 2 \Gamma x or x 3 \Gamma x, can be given a first order proof in a few lines of symbol manipulation. The usual proof of the general result [20] (which takes a semester's postgraduate course to develop from scratch) is a corollary of other results: we prove that rings satisfying the condition are semisimple artinian, apply a theorem which shows that all such rings are matrix rings over division rings, and eventually obtain the result by showing that all finite division rings are fields, and hence commutative. This displays von Neumann's architectural qualities: it is "deep" in a way in which the symbol manipulati...
Mapping the dynamics of change: A complexity theory analysis of innovation in five Vermont high schools
, 1999
"... This study of innovation in five Vermont high schools creates new cross case operational computer models of the leadership and policy issues involved in systemic change, using STELLA, a systems thinking software. Complexity theory and systems dynamics modeling concepts such as causal loop diagrammin ..."
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This study of innovation in five Vermont high schools creates new cross case operational computer models of the leadership and policy issues involved in systemic change, using STELLA, a systems thinking software. Complexity theory and systems dynamics modeling concepts such as causal loop diagramming, boundary conditions, selfreinforcing processes, nonlinear dynamical equations, state space, dissipation, and types of temporal organization are used to discuss the behavior of the models using illustrations and data from real world case studies. The study provides grounded examples of complexity theory analysis facilitated by visual models mapped to nonlinear dynamical equations. As a result, the study offers a new explanation of innovations in high schools that involves dynamical maps of five sectors of systemic change: state policy, district initiatives, school adaptations, teacher learning, and the student experience. The maps provide new visual and mathematical generalizations of some of the key variables of innovation presented in timebased relationships with each other. The models, which reinterpret and quantify traditional
Detection and Filtering of ShortTerm (1/f γ) Noise in Inertial Sensors
"... Combining INS and GPS data by means of Kalman filtering only suppresses sensor noise in a limited frequency band. This paper describes a filtering methodology that allows optimal elimination of the inertial sensor noise over the whole frequency band of interest. It accommodates a model for shortter ..."
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Combining INS and GPS data by means of Kalman filtering only suppresses sensor noise in a limited frequency band. This paper describes a filtering methodology that allows optimal elimination of the inertial sensor noise over the whole frequency band of interest. It accommodates a model for shortterm inertial errors that is especially applicable to ringlaser and fiber optic gyro technologies. It presents a technique for adaptive estimation of the model parameters based solely on data analysis above the edge of the frequency band corresponding to the motion. Using this technique, the model parameters are estimated for a specific system and time period, the noise distribution is predicted within the band of interest and the inertial measurements are denoised in the wavelet domain. This methodology complements the standard approach of Kalman filtering/smoothing. Empirical testing using different navigationgrade strapdown inertial systems shows an improvement of 20 % in attitude determination under dynamic conditions.
RoseAnderson, “New Product Development as a Complex Adaptive System of Decisions
 Journal of Production and Innovation Management
, 2006
"... Early research on new product development (NPD) has produced descriptive frameworks and models that view the process as a linear system with sequential and discrete stages. More recently, recursive and chaotic frameworks of NPD have been developed, both of which acknowledge that NPD progresses throu ..."
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Early research on new product development (NPD) has produced descriptive frameworks and models that view the process as a linear system with sequential and discrete stages. More recently, recursive and chaotic frameworks of NPD have been developed, both of which acknowledge that NPD progresses through a series of stages, but with overlaps, feedback loops, and resulting behaviors that resist reductionism and linear analysis. This article extends the linear, recursive, and chaotic frameworks by viewing NPD as a complex adaptive system (CAS) governed by three levels of decision making—instage, review, and strategic—and the accompanying decision rules. The research develops and presents propositions that predict how the configuration and organization of NPD decisionmaking agents will influence the potential for three mutually dependent CAS phenomena: nonlinearity, selforganization, and emergence. Together these phenomena underpin the potential for NPD process adaptability and congruence. To support and to verify the propositions, this study uses comparative case studies, which show that NPD process adaptability occurs and that it is dependent on the number and variety of agents, their corresponding connections and interactions, and the ordering or disordering effect of the decision levels and rules. Thus, the CAS framework developed within this article maintains a fit among descriptive stance, system behavior, and innovation type, as it considers individual NPD processes to be capable of switching or toggling between different behaviors—linear to chaotic—to produce corresponding innovation outputs that range from incremental to radical in accord with market expectations.
Towards Stylistic Consonance in Human Movement Synthesis
"... A common task in dance, martial arts, animation, and many other movement genres is for the character to move in an innovative and yet stylistically consonant fashion. In this paper, we describe two mechanisms for automating this process and evaluate the results with a Turing Test. Our algorithms use ..."
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A common task in dance, martial arts, animation, and many other movement genres is for the character to move in an innovative and yet stylistically consonant fashion. In this paper, we describe two mechanisms for automating this process and evaluate the results with a Turing Test. Our algorithms use the mathematics of chaos to achieve innovation and simple machinelearning techniques to enforce stylistic consonance. Because our goal is stylistic consonance, we used a Turing Test, rather than standard crossvalidationbased approaches, to evaluate the results. This test indicated that the novel dance segments generated by these methods are nearing the quality of humanchoreographed routines. The testtakers found the humanchoreographed pieces to be more aesthetically pleasing than computerchoreographed pieces, but the computergenerated pieces were judged to be equally plausible and not significantly less graceful. 1
Predictive Accuracy as an Achievable Goal of Science
"... What has science actually achieved? A theory of achievement should (1) define what has been achieved, (2) describe the means or methods used in science, and (3) explain how such methods lead to such achievements. Predictive accuracy is one truthrelated achievement of science, and there is an explan ..."
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What has science actually achieved? A theory of achievement should (1) define what has been achieved, (2) describe the means or methods used in science, and (3) explain how such methods lead to such achievements. Predictive accuracy is one truthrelated achievement of science, and there is an explanation of why common scientific practices (of trading off simplicity and fit) tend to increase predictive accuracy. Akaike’s explanation for the success of AIC is limited to interpolative predictive accuracy. But therein lies the strength of the general framework, for it also provides a clear formulation of many open problems of research.
Nonlinear Science and the Postpositivist Researcher
"... This essay discusses the relationship of postpositivist research and nonlinear science, particularly in terms of their importance to the educational researcher. It is frequently said that we are in a time of shifting paradigms, perhaps even a “postparadigmatic diaspora. ” For at least the last few h ..."
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This essay discusses the relationship of postpositivist research and nonlinear science, particularly in terms of their importance to the educational researcher. It is frequently said that we are in a time of shifting paradigms, perhaps even a “postparadigmatic diaspora. ” For at least the last few hundred years, the dominant Western paradigm has been grounded in the principals of linear science resulting in both amazing technological invention and widespread human suffering. Postpositivist researchers have been among those attempting to explore alternatives to this paradigm in the hopes of creating a better world, even when questioning the very idea of progress. Such researchers have both challenged and extended the notion of science. In recent times, as postpositivism has gained ground, a paradigm shift has begun in the traditional, hard or linear sciences. This shift offers useful concepts for the postpositivist researcher both for critiques of linear science and for the development of postpositivist theory and practice.