public:t-720-atai:atai-16:lecture_notes_f-11_16.02.2016

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public:t-720-atai:atai-16:lecture_notes_f-11_16.02.2016 [2017/12/06 13:23] thorisson [Causal Chains] |
public:t-720-atai:atai-16:lecture_notes_f-11_16.02.2016 [2017/12/06 13:23] (current) thorisson [Causal Chains] |
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| {{public:t-720-atai:causal-relationships.png?550}} | | | {{public:t-720-atai:causal-relationships.png?550}} | | ||

- | | Causal relations between variables <m>[V_1, V_6]</m>. I, II and III, left-hand side: Causes; right-hand side: Effects. \\ Part I depicts physical causal relationships between variables (A – linear relation; B – logrithmic relation; C – hyperbolic relation). Alternatively, part I may represent theoretical models of physical or hypothetical constructs. \\ In II, these relationships have been implemented as three modular simulation models, one module per causal factor and one per measured effect. The functions a and b connecting the modules have also been quantized from what they were in I. The left-hand side represents transmitting modules and the right-hand side receiving modules. \\ In III, two modules are used to represent all causal relationships of I. \\ In both II and III the modules' internal state represents the state of the causes and effects in I, respectively. Modularization is thus theoretically independent of the theoretical model. However, implementations following either II or III may produce different results due to artifacts in how the simulations are scheduled on a computer (for instance, if the implementation of in Y-III has shortcomings in its scheduling, variable <m>v_2</m> may be updated at a different rate than <m>v_4</m> and <m>v_6</m>, and since the latter two are updated together this may cause a spurious correlation between them). | | + | | Causal relations between variables <m>[V_1, V_6]</m>. I, II and III, left-hand side: Causes; right-hand side: Effects. \\ Part I depicts physical causal relationships between variables (A – linear relation; B – logrithmic relation; C – hyperbolic relation). Alternatively, part I may represent theoretical models of physical or hypothetical constructs. \\ In II, these relationships have been implemented as three modular simulation models, one module per causal factor and one per measured effect. The functions a and b connecting the modules have also been quantized from what they were in I. The left-hand side represents transmitting modules and the right-hand side receiving modules. \\ In III, two modules are used to represent all causal relationships of I. \\ In both II and III the modules' internal state represents the state of the causes and effects in I, respectively. Modularization is thus theoretically independent of the theoretical model. However, implementations following either II or III may produce different results due to artifacts in how the simulations are scheduled on a processor (for instance, if the implementation of in Y-III has shortcomings in its scheduling, variable <m>v_2</m> may be updated at a different rate than <m>v_4</m> and <m>v_6</m>, and since the latter two are updated together this may cause a spurious correlation between them). | |

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/var/www/ailab/WWW/wiki/data/pages/public/t-720-atai/atai-16/lecture_notes_f-11_16.02.2016.txt · Last modified: 2017/12/06 13:23 by thorisson