generative order

Q-UEL Toolkit for Medical Decision Making :- Science of Uncertainty and Probabilities

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Quantum Universal Exchange Language

Emergent | Interoperability | Knowledge Mining | Blockchain

Q-UEL

  1. It is a toolkit / framework
  2. Is an Algorithmic Language for constructing Complex System
  3. Results into a Inferential Statistical mechanism suitable for a highly complex system – “Hyperbolic Dirac Net”
  4. Involves an approach that is based on the premise that a Highly Complex System driven by the human social structures continuously strives to achieve a higher order in the entropic journey by continuos discerning the knowledge hidden in the system that is in continuum.
  5. A System in Continuum seeking Higher and Higher Order is a Generative System.
  6. A Generative System; Brings System itself as a Method to achieve Transformation. Similar is the case for National Learning Health System.
  7. A Generative System; as such is based on Distributed Autonomous Agents / Organization; achieving Syndication driven by Self Regulation or Swarming behavior.
  8. Essentially Q-UEL as a toolkit / framework algorithmically addresses interoperability, knowledge mining and blockchain; while driving the Healthcare Eco-system into Generative Transformation achieving higher nd higher orders in the National Learning Health System.
  9. It has capabilities to facilitate medical workflow, continuity of care, medical knowledge extraction and representation from vast large sets of structured and unstructured data, automating bio-statistical reasoning leading into large data driven evidence based medicine, that further leads into clinical decision support system including knowledge management and Artificial Intelligence; and public health and epidemiological analysis.

http://www.himss.org/achieving-national-learning-health-system

GENERATIVE SYSTEM :-

Generative Transformation :- System is the Method

A Large Chaotic System driven by Human Social Structures has two contending ways.

a. Natural Selection – Adaptive – Darwinian – Natural Selection – Survival Of Fittest – Dominance

b. Self Regulation – Generative – Innovation – Diversity – Cambrian Explosion – Unique Peculiarities – Co Existence – Emergent

Accountable Care Organization (ACO) driven by Affordability Care Act transforms the present Healthcare System that is adaptive (competitive) into generative (collaborative / co-ordinated) to achieve inclusive success and partake in the savings achieved. This is a generative systemic response contrasting the functional and competitive response of an adaptive system.

Natural selection seems to have resulted in functional transformation, where adaptive is the mode; does not account for diversity.

Self Regulation – seems like is a systemic outcome due to integrative influence (ecosystem), responding to the system constraints. Accounts for rich diversity.

The observer learns generatively from the system constraints for the type of reflexive response required (Refer – Generative Grammar – Immune System – http://www.ncbi.nlm.nih.gov/pmc/articles/PMC554270/pdf/emboj00269-0006.pdf)

From the above observation, should the theory in self regulation seem more correct and that adheres to laws of nature, in which generative learning occurs. Then, the assertion is “method” is offered by the system itself. System’s ontology has an implicate knowledge of the processes required for transformation (David Bohm – Implicate Order)

For very large complex system,

System itself is the method – impetus is the “constraint”.

In the video below, the ability for the cells to creatively create the script is discussed which makes the case for self regulated and generative complex system in addition to complex adaptive system.

 

Further Notes on Q-UEL / HDN :-

  1. That brings Quantum Mechanics (QM) machinery to Medical Science.
  2. Is derived from Dirac Notation that helped in defining the framework for describing the QM. The resulting framework or language is Q-UEL and it delivers a mechanism for inferential statistics – “Hyperbolic Dirac Net”
  3. Created from System Dynamics and Systems Thinking Perspective.
  4. It is Systemic in approach; where System is itself the Method.
  5. Engages probabilistic ontology and semantics.
  6. Creates a mathematical framework to advance Inferential Statistics to study highly chaotic complex system.
  7. Is an algorithmic approach that creates Semantic Architecture of the problem or phenomena under study.
  8. The algorithmic approach is a blend of linguistics semantics, artificial intelligence and systems theory.
  9. The algorithm creates the Semantic Architecture defined by Probabilistic Ontology :- representing the Ecosystem Knowledge distribution based on Graph Theory

To make a decision in any domain, first of all the knowledge compendium of the domain or the system knowledge is imperative.

System Riddled with Complexity is generally a Multivariate System, as such creating much uncertainty

A highly complex system being non-deterministic, requires probabilistic approaches to discern, study and model the system.

General Characteristics of Complex System Methods

  • Descriptive statistics are employed to study “WHAT” aspects of the System
  • Inferential Statistics are applied to study “HOW”, “WHEN”, “WHY” and “WHERE” probing both spatial and temporal aspects.
  • In a highly complex system; the causality becomes indeterminable; meaning the correlation or relationships between the independent and dependent variables are not obviously established. Also, they seem to interchange the position. This creates dilemma between :- subject vs object, causes vs outcomes.
  • Approaching a highly complex system, since the priori and posterior are not definable; inferential techniques where hypothesis are fixed before the beginning the study of the system become enviable technique.

Review of Inferential Techniques as the Complexity is Scaled

Step 1:- Simple System (turbulence level:-1)

Frequentist :- simplest classical or traditional statistics; employed treating data random with a steady state hypothesis – system is considered not uncertain (simple system). In Frequentist notions of statistics, probability is dealt as classical measures based only on the idea of counting and proportion. This technique is applied to probability to data, where the data sets are rather small.

Increase complexity: Larger data sets, multivariate, hypothesis model is not established, large variety of variables; each can combine (conditional and joint) in many different ways to produce the effect.

Step 2:- Complex System (turbulence level:-2)

Bayesian :- hypothesis is considered probabilistic, while data is held at steady state. In Bayesian notions of statistics, probability is of the hypothesis for a given sets of data that is fixed. That is, hypothesis is random and data is fixed. The knowledge extracted contains the more subjectivist notions of uncertainty, belief, reliability, or confidence often used in automated inference and decision support systems.

Additionally the hypothesis can be explored only in an acyclic fashion creating Directed Acyclic Graphs (DAG)

Increase the throttle on the complexity: Very large data sets, both structured and unstructured,  Hypothesis random, multiple Hypothesis possible, Anomalies can exist, There are hidden conditions, need arises to discover the “probabilistic ontology” as they represent the system and the behavior within.

Step 3: Highly Chaotic Complex System (turbulence level:-3)

Certainly DAG is now inadequate, since we need to check probabilities as correlations and also causations of the variables, and if they conform to a hypothesis producing pattern, meaning some ontology is discovered which describes the peculiar intrinsic behavior among a specific combinations of the variables to represent a hypothesis condition. And, there are many such possibilities within the system, hence  very chaotic and complex system.

Now the System itself seems probabilistic; regardless of the hypothesis and the data. This demands Multi-Lateral Cognitive approach

Telandic …. “Point – equilibrium – steady state – periodic (oscillatory) – quasiperiodic – Chaotic – and telandic (goal seeking behavior) are examples of behavior here placed in order of increasing complexity”

A Highly Complex System, demands a Dragon Slayer – Hyperbolic Dirac Net (HDN) driven Statistics (BI-directional Bayesian) for extracting the Knowledge from a Chaotic Uncertain System.

Platform for BigData Driven Medicine and Public Health Studies [ Deep Learning & Biostatistics ]

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Bioingine.com; Platform for comprehensive statistical and probability studies for BigData Driven Medicine and Public Health.

Importantly helps redefine Data driven Medicine as:-

Ontology (Semantics) Driven Medicine

Comprehensive Platform that covers Descriptive Statistics and Inferential Probabilities.

Beta Platform on the anvil. Signup for Demo by sending mail to

“demo@bioingine.com”

Bioingine.com employs algorithmic approach based on Hyperbolic Dirac Net that allows inference nets that are a general graph (GC), including cyclic paths, thus surpassing the limitation in the Bayes Net that is traditionally a Directed Acyclic Graph (DAG) by definition. The Bioingine.com approach thus more fundamentally reflects the nature of probabilistic knowledge in the real world, which has the potential for taking account of the interaction between all things without limitation, and ironically this more explicitly makes use of Bayes rule far more than does a Bayes Net.

It also allows more elaborate relationships than mere conditional dependencies, as a probabilistic semantics analogous to natural human language but with a more detailed sense of probability. To identify the things and their relationships that are important and provide the required probabilities, the Bioingine.com scouts the large complex data of both structured and also information of unstructured textual character.

It treats initial raw extracted knowledge rather in the manner of potentially erroneous or ambiguous prior knowledge, and validated and curated knowledge as posterior knowledge, and enables the refinement of knowledge extracted from authoritative scientific texts into an intuitive canonical “deep structure” mental-algebraic form that the Bioingine.com can more readily manipulate.

BigData Driven Medicine Program :-

http://med.stanford.edu/iddm.html

Objectives and Goals

Informatics & Data-Driven Medicine (IDDM) is a foundation area within the Scholarly Concentration program that explores the new transformative paradigm called BIG DATA that is revolutionizing medicine. The proliferation of huge databases of clinical, imaging, and molecular data are driving new biomedical discoveries and informing and enabling precision medical care. The IDDM Scholarly Concentration will provide students insights into this important emerging area of medicine, and introducing fundamental topics such as information management, computational methods of structuring and analyzing biomedical data, and large-scale data analysis along the biomedical research pipeline, from the analysis and interpretation of new biological datasets to the integration and management of this information in the context of clinical care.

Requirements

Students who pursue Informatics & Data-Driven Medicine in conjunction with an application area, such as Immunology, are required to complete 6 units including:

Biomedin 205: Precision Practice with Big Data

Bioingine.com :- Quantum Mechanics Machinery for Healthcare Ecosystem Analytics

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Notational – Symbolic Programming Introduced for Healthcare Analytics

Quantum Mechanics Firepower for Healthcare Ecosystem Studies        

Interoperability Analytics

Public Health and Patient Health

Quantum Mechanics Driven A.I Experience

Deep Machine Learning

Descriptive and Inferential Statistics

Definite and Probabilistic Reasoning and Cognitive Experience

Know Your Health Ecosystem (Semantic Lake) :- Deep Learning from Healthcare Interoperability BigData – Descriptive and Inferential Statistics

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Bioingine.com; Platform for Healthcare Interoperability (large data sets) Analytics

Deep Learning from Millions of EHR Records

1. Payer – Provider:- (Mostly Descriptive Statistics)

Mostly answers “What”

  • Healthcare Management Analysis (Systemic Efficiencies)
  • Opportunities for cost reduction
  • Chronic patient management
  • Pathway analysis for cost insights
  • Service based to Performance Based – Outcome Analysis (+Inferential)

2. Provider – Clinical Data – (Mostly Inferential Statistics)

Reasoning to understand “Why”, “How”, “Where” (Spatial) and “When” (Temporal)

  • Healthcare Delivery Analysis (Clinical Efficacies)
  • EBM – Clinical Decision Support – Hypothesis Analysis
  • Pathways and Outcome (+Descriptive)

Health Information Exchange :- Interoperability Large BigData

HDN_Cognitive_Computing

Sample Descriptive Statistics:-

Inferential Statistics:-

New Kind of Cognitive Science – Medical Ontology – A.I driven Reasoning

cover_imageBioingine_Platform

 

 

Semantic Data Lake Delivering Tacit Knowledge – Evidence based Clinical Decision Support

Can the complexity be removed and tacit knowledge delivered from the plethora of the medical information available in the world.

” Let Doctors be Doctors”

Semantic Data Lake becomes the Book of Knowledge ascertained by correlation and causation resulting into Weighted Evidence

Characteristics of Bioingine.com Cognitive Computing Platform

  • Architecture style moves from Event driven into Semantics driven
  • Paradigm shift in defining system behavior – it is no more predicated and deterministic – Non Predicated Design
  • Design is “systemic” contrasting the technique such as objected oriented based design, development and assembling components
  • As such a system is better probabilistically studied.
  • Design is context driven, where the boundary diminishes between context and concept
  • System capability is probabilistically programmed by machine learning based on A.I, NLP and algorithms driven by ensemble of Math
  • Design based on Semantic mining and engineering takes precedence to complex event processing (CEP). CEP and Event Driven Architecture (EDA) are the part of the predicated system design. Business rules engine may be an overkill.
  • Ontology is created driven by both information and numbers theory

–Algebra – relationship amongst variables

–Calculus – rate of change in variable and its impact on the other

–Vector Space – study of states of the variables

Bioingine.com algorithm design driven by Probabilistic Ontology

  • Probabilistic Ontology characterizes the ecosystem’s behavior
  • Complex System’s semantic representation evolves generatively
  • System better represented by semantic multiples. Overcomes the barrier of Triple Store (RDF)
  • Human’s interact with the system employing knowledge inference technique
  • Inductive knowledge precedes knowledge by deduction

Bioingine.com is a Probabilistic Computing Machine

  • System’s behavior better modeled by the employ of probability, statistics and vector calculus (Statistics based on HDN an advancement to Bayes Net, where acyclic in DAG is overcome)
  • Generally the system is characterized by high dimensionality in its data set (variability) in addition to volume and velocity.
  • Most computing is in-memory 

BioIngine.com; is designed based on mathematics borrowed from several disciplines and notably from Paul A M Dirac’s quantum mechanics. The approach overcomes many of the inadequacies in the Bayes Net that is based on the directed acyclic graph (DAG). Like knowledge relationships in the real word, and as was required for quantum mechanics, our approaches are neither unidirectional nor do they avoid cycles.

Bioingine.com Features –

  • Bi-directional Bayesian Probability for knowledge Inference and Biostatistics (Hyperbolic complex).
  • Built upon medical ontology (in fact this is discovered by machine learning, AI techniques).
  • Can be both hypothesis and non-hypotheses driven.
  • Quantum probabilities transformed to classical integrating vector space, Bayesian knowledge inference, and Riemann zeta function to deal with sparse data and finally driven by overarching Hyperbolic Dirac Net.
  • Builds into web semantics employing NLP. (Integrates both System Dynamics and Systems Thinking).

Framework of Bioingine –Dirac-Ingine Algorithm Ensemble of Math 

Q-UEL & HDN (More Info click the link)

Clinical Data Analytics – Loss of Innocence (Predictive Analytics) in a Large High Dimensional Semantic Data Lake

Slide1

From Dr. Barry Robson’s notes:-

Is Data Analysis Particularly Difficult in Biomedicine?

Looking for a single strand of evidence in billions of possible semantic multiple combinations by Machine Learning

Of all disciplines, it almost seems that it is clinical genomics, proteomics, and their kin, which are particularly hard on the data-analytic part of science. Is modern molecular medicine really so unlucky? Certainly, the recent explosion of biological and medical data of high dimensionality (many parameters) has challenged available data analytic methods.

In principle, one might point out that a recurring theme in the investigation of bottlenecks to development of 21st century information technology relates to the same issues of complexity and very high dimensionality of the data to be transformed into knowledge, whether for scientific, business, governmental, or military decision support. After all, the mathematical difficulties are general, and absolutely any kind of record or statistical spreadsheet of many parameters (e.g., in medicine; age, height, weight, blood-pressure, polymorphism at locus Y649B, etc.) could, a priori, imply many patterns, associations, correlations, or eigensolutions to multivariate analysis, expert system statements, or rules, such as jHeight:)6ft, Weight:)210 lbs> or more obviously jGender:)male, jPregnant:)no>. The notation jobservation> is the physicists’ ket notation that forms part of a more elaborate “calculus” of observation. It is mainly used here for all such rule-like entities and they will generally be referred to as “rules”.

As discussed, there are systems, which are particularly complex so that there are many complicated rules not reducible to, and not deducible from, simpler rules (at least, not until the future time when we can run a lavish simulation based on physical first principles).

Medicine seems, on the whole, to be such a system. It is an applied area of biology, which is itself classically notorious as a nonreducible discipline.

In other words, nonreducibility may be intrinsically a more common problem for complex interacting systems of which human life is one of our more extreme examples. Certainly there is no guarantee that all aspects of complex diseases such as cardiovascular disease are reducible into independently acting components that we can simply “add up” or deduce from pairwise metrics of distance or similarity.

At the end of the day, however, it may be that such arguments are an illusion and that there is no special scientific case for a mathematical difficulty in biomedicine. Data from many other fields may be similarly intrinsically difficult to data mine. It may simply be that healthcare is peppered with everyday personal impact, life and death situations, public outcries, fevered electoral debates, trillion dollar expenditures, and epidemiological concerns that push society to ask deeper and more challenging questions within the biomedical domain than routinely happen in other domains.

 Large Number of Possible Rules Extractable a Priori from All Types of High-Dimensional Data

For discovery of relationships between N parameters, there are almost always x (to the power N) potential basic rules, where x is some positive constant greater than unity and which is characteristic of the method of data representation and study. For a typical rectangular data input like a spreadsheet of N columns,

[2 to the power of N] – N – 1  = X numbers of tag rules from which evidence requires being established. Record with 100 variables and joint probability 2 means;

2^100-100-1 = 1.267650600228229401496703205275 × 10^30

Evidence based Medicine driven by Inferential Statistics – Hyperbolic Dirac Net

Slide1

http://sociology.about.com/od/Statistics/a/Introduction-To-Statistics.htm

From above link

Descriptive Statistics (A quantitative summary)

Descriptive statistics includes statistical procedures that we use to describe the population we are studying. The data could be collected from either a sample or a population, but the results help us organize and describe data. Descriptive statistics can only be used to describe the group that is being studying. That is, the results cannot be generalized to any larger group.

Descriptive statistics are useful and serviceable if you do not need to extend your results to any larger group. However, much of social sciences tend to include studies that give us “universal” truths about segments of the population, such as all parents, all women, all victims, etc.

Frequency distributionsmeasures of central tendency (meanmedian, and mode), and graphs like pie charts and bar charts that describe the data are all examples of descriptive statistics.

Inferential Statistics

Inferential statistics is concerned with making predictions or inferences about a population from observations and analyses of a sample. That is, we can take the results of an analysis using a sample and can generalize it to the larger population that the sample represents. In order to do this, however, it is imperative that the sample is representative of the group to which it is being generalized.

To address this issue of generalization, we have tests of significance. A Chi-square or T-test, for example, can tell us the probability that the results of our analysis on the sample are representative of the population that the sample represents. In other words, these tests of significance tell us the probability that the results of the analysis could have occurred by chance when there is no relationship at all between the variables we studied in the population we studied.

Examples of inferential statistics include linear regression analyseslogistic regression analysesANOVAcorrelation analysesstructural equation modeling, and survival analysis, to name a few.

Inferential Statistics:- Bayes Net  [Good for simple Hypothesis]

“Suppose that there are two events which could cause grass to be wet: either the sprinkler is on or it’s raining. Also, suppose that the rain has a direct effect on the use of the sprinkler (namely that when it rains, the sprinkler is usually not turned on)… The joint probability function is: P(G, S, R) = P(G|S, R)P(S|R) P(R)”. The example illustrates features common to homeostasis of biomedical importance, but is of interest here because, unusual in many real world applications of BNs, the above expansion is exact, not an estimate of P(G, S, R).

Inferential Statistics: Hyperbolic Dirac Net (HDN) – System contains innumerable Hypothesis

HDN Estimate (forward and backwards propagation)

P(A=’rain’) = 0.2 # <A=’rain’ | ?>

P(B=’sprinkler’) = 0.32 # <B=’sprinkler’ | ?>

P(C=’wet grass’) =0.53 # <? | C=’wet grass>

Pxx(not A) = 0.8

Pxx(not B) = 0.68

Pxx(not C) = 0.47

# <B=’sprinkler’ | A=’rain’>

P(A, B) = 0.002

Px(A) = 0.2

Px(B) = 0.32

Pxx(A, not B) = 0.198

Pxx(not A, B) = 0.32

Pxx(not A, not B) = 0.48

#<C=’wet grass’|A=’rain’,B=’sprinkler’>

P(A,B,C) = 0.00198

Px(A, B) = 0.002

Px(C=’wet grass’) =0.53

Pxx(A,B,not C) = 0.00002

End

Since the focus in this example is on generating a coherent joint probability, Pif and Pif* are not included in this case, and we obtain {0.00198, 0.00198} = 0.00198. We could us them to dualize the above to give conditional probabilities. Being an exact estimate, it allows us to demonstrate that the total stress after enforced marginal summation (departure from initial specified probabilities) is very small, summing to 0.0005755. More typically, though, a set of input probabilities can be massaged fairly drastically. Using the notation initial -> final, the following transitions occurred after a set of “bad initial assignments”.

P (not A) = P[2][0][0][0][0][0][0][0][0][0] = 0.100 -> 0.100000

P (C) = P[0][0][1][0][0][0][0][0][0][0] = 0.200 -> 0.199805

P ( F,C) = P[0][0][1][0][0][1][0][0][0][0] = 0.700 -> 0.133141

P (C,not B,A) = P[1][2][1][0][0][0][0][0][0][0] = 0.200 -> 0.008345

P (C,I,J,E,not A) = P[2][1][0][1][0][0][0][1][1][0] = 0.020 -> 0.003627

P (B,F,not C,D) = P[0][1][2][1][0][1][0][0][0][0] = 0.300 -> 0.004076

P (C) = P[0][0][1][0][0][0][0][0][0][0] = 0.200 -> 0.199805

P ( F,C) = P[0][0][1][0][0][1][0][0][0][0] = 0.700 -> 0.133141

P (C,not B,A) = P[1][2][1][0][0][0][0][0][0][0] = 0.200 -> 0.008345

P (C,I,J,E,not A) = P[2][1][0][1][0][0][0][1][1][0] = 0.020 -> 0.003627

P (B,F,not C,D) = P[0][1][2][1][0][1][0][0][0][0] = 0.300 -> 0.004076

Implicate Order as Ecosystem Consciousness, where Knowledge exits Non-localized and Represented as Probabilistic Ontology – Complexity Theory

Exploring Implicate Order as a way for modeling the ecosystem knowledge that exists non-localized, and also that the knowledge  are formations as evidence those are probabilistically deterministic. This means the ecosystem knowledge representation requires probabilistic ontology. Also, what is evident in a system is – in the method there exists Cartesian dilemma, This means the method used to study the macro behavior and the micro behavior both follow different mathematical scheme. Almost all micro behaviors are characterized by Cartesian methods, these breakdown when they are scaled to study macro behavior. This particular vexation is the reason why arriving at unified equation in physics is fleeting that reconciles macro physics with quantum behavior. Probing for a way to describe a system with such dilemma, Implicate Order was hypothesized by David Bohm as an ontology to fit the probabilistic paradigm.

Every system strategically has a challenge to resolve at macro level pertinent to a “context” – for instance healthcare management efficiency and then at micro level it is challenge to be met at “functional” level – example personalized healthcare delivery – which is efficacy. These two combined seems to present a compelling complex problem.

Integrative approach involving Bioinformatics, Quantum Maths, A.I and linguistics semantic allows us to develop algorithmic methods suitable to represent the ecosystem. These approaches help in creating a probabilistic ontology as envisioned in the implicate order. Furthermore, the way probabilistic inferencing keeps growing as the system progress in time continuum they provide a means to study Complex Adaptive System and also the Generative development.

Most common method in creating the probabilistic inference has been Bayesian network. But these are being contested as suitable for a lower order complex system, where the data is held constant and hypothesis are random. When the system complexity becomes messy, meaning both the hypothesis and the data become random, then we need advanced knowledge graphing methods.

Ingine Inc, for its cognitive computing platform BioIngine proposes “Hyperbolic Dirac Net” as a way to render Bayes Net into true Bayesian by overcoming the acyclic constraints. The approach incorporates a certain advancement to Bayesian statistics which makes it reversible. In general, reversibility, cyclic paths and feedback abound in the real world, especially the medical domain which is as such probabilistic and we need probabilistic knowledge networks that are general graphs, or even more diffuse fields of influence, not DAGs. In our response as the Hyperbolic Dirac Net (HDN), “Dirac” relates to use of Paul A. M. Dirac’s view of quantum mechanics (QM). QM is not only a standard system for representing probabilistic observation and inference from it in physics, but also it manages and even promotes concepts like reversibility and cycles. The significance of “hyperbolic” is that it relates to a particular type of imaginary number rediscovered by Dirac. Dirac notation entities, Q-UEL tags, and the analogous building blocks of an HDN all have complex probabilities better described as probability amplitudes.

There are several developments going on in the area of probabilistic modeling. Stanford has begun to offer free course on probabilistic graphical modeling based on Bayesian. In the link below go to preview link to access entire video coursework. Awesome coursework for beginners in system modeling.

https://www.coursera.org/course/pgm?from_restricted_preview=1&course_id=22&r=https%3A%2F%2Fclass.coursera.org%2Fpgm%2Fauth%2Fauth_redirector%3Ftype%3Dlogin%26subtype%3Dnormal%26visiting%3Dhttps%253A%252F%252Fclass.coursera.org%252Fpgm%252Fclass%252Findex

Multi Lateral Cognition – Key Learning and Discerning Capability to Study Complex System

Simple View

Multi-Lateral View

Music by Bach, Chopin, Beethoven, Mozart – they helped to reach our experience beyond known boundary conditions.

Beethoven was deaf, he could not hear his own compositions. But then how did he create “ode to joy”… he believed god whispered to him…else how could he write the program for the composition that lifts one to heavenly levels….I chanced upon the idea of generative techniques that he employed in the way music progresses and creates emergent musical patterns…this is true stretch in experience of the boundary conditions…where the human mind listening to music is taken to unexplored areas….and joy that awaits is exhilarating and ecstatic.

A metaphor for generative transformation creating emergence from incorporation of Beethoven’s composition “emperor” integrated with a visualization of a dynamic state of complex system; in which there operates multiple influences on context. The influences are themseles in dynamic change, like a cube or tetrahedron or such having multilateral influences, all in dance, in motion and intersecting with one another. Each lattice, each bounce, each intersection producing a perception. Continous are such perceptions in creation, and each one is unique and every one perception produced is emergent, nothing from past produced…how to view such a dynamic system depicted above as A Metaphor for Generative emerging from the multi-lateral cognition.