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Reference Frame Introduction

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Reference Frame Introduction

  1. 1. EROS Word-Sensibility Model 1 Exploring Ideas About Quadranym Reference Frames EROS About
  2. 2. 2 EROS About Word-Sensibility Quadranym: a paradigm made up of four words acting as facets of a word. Facets are dimensions of words representing four basic categories or roles. The fundamental units of the Word-Sensibility Model are called Quadranyms. Word-Sensibility is about metaphoric relations, commonsense grounding and simulating the human ability to sense dynamic relations between words in text. The aim is to model dynamic sense response and metaphoric and normative responsiveness.
  3. 3. Reference Frames & Quadranyms 3 EROS In this presentation, the aim is to illustrate basic principles of the Quadranym Reference Frame. 0 Time present Events • Nowness remains the invariable event to any sense of change, procedure or modification. Quadranym: (∀x) Time (x) ⟹ [Future(present) ⊇ Past(event)(x)] Reference Frame future past • • Future(present) Past(event) Term Clustering: {…} Term Clustering: {…} Time
  4. 4. Reference Frames & Quadranyms 4 EROS A Q reference frame consists of the word-topic (i.e., headword: e.g., energy), and the zero-point word (i.e., anchor or source word: e.g., motion), and the coordinate word (i.e., target word: e.g., matter), and two words that define the x and y axes (i.e., dependent y: e.g., size and independent x: e.g., weight variables). The x and y variables can change between modes of measure to better align with responsive conditions. • A unit of responsiveness is a bias, an assumption about a concept. • The assumption for energy: any variance of motion targets matter. • x-y variables are modes of measure: complementarity and polarity. • The project is about abstracting normative responses for machines. What are Quadranym Reference Frames? spatial mode energy wt. (n) y expand mode x reduce mode 1. work (.3) positive negative 2. work (.7) negative positive Matter (1.0) Size (-) Weight (+) “These small logs burn all night.” Map Text to Energy Layer Unit: Small logs = positive density and weight
  5. 5. Nested Systems of Responsiveness 5 EROS Topic Name y Expansion (+,-) x Reduction (-,+) Object (target) Subject (origin) space infinite finite between void door open close barrier passage distance far near relation position direction there here to from container out in full empty Time y Future (+,-) x Past (-,+) Event (target) Present (origin) Quadranym System = Relations of Locations = [space, door, distance, direction, container] Nested Matrix Each Layer is a Quadranym. Layers Form a Nested System. Each layer may represent an aspect of a ‘complete’ concept. The key is about how different domains such as, spatial and emotional might correspond e.g., to be in- doors and to be in-love will share basic spatial units. This is one goal of the model. Spatial Orientation Matrix Layers aim to move quickly between general and relevant viewpoints.
  6. 6. 6 EROS Reference Frames & The Zero-Point I The orientation of a quadranym reference frame represents a viewpoint and a self identification opportunity. A Reference frame is a virtual organismic response to objective circumstances. The most basic principle of reference frames is about orientation.
  7. 7. 7 EROS • “I will know x as soon as I walk through the door.” Consider the statement… Reference frames deal with source and target conditions. For instance, if we consider the agent’s source condition as being about the agent’s initial position such as, in or out, then clearly there is an unavoidable choice between the two positions. It can be either-or. Reference frames aim to anchor on ‘actual-source-conditions’: a source that acts less like a variable and more like a constant. The Actual Source = The Zero-Point of Reference Frames. Reference Frames & The Zero-Point
  8. 8. 8 EROS Spatial Domain: Find best orientation to target x. The actual source is not about predicting whether the agent is in or out or predicting what x can be. It’s about finding virtual grounding i.e., an effective orientational constant for word-topics, such as, space. • “I will know x as soon as I walk through the door.” Reference Frames & The Zero-Point Where am I.
  9. 9. x can inform initial spatial position 9 EROS • “I will know x as soon as I walk through the door.” x = ? x = x = e.g., if package arrived x = e.g., what’s for dinner x = e.g., what’s the weather Source Position (in > out) Target Position (out > in) Above describes a situational variable for a spatial orientation. What we want is a constant reference for a spatial orientation. I am in. I am out. Reference Frames & The Zero-Point Possible x Target
  10. 10. The Zero-Point Orients the Response 10 EROS • “I will know x as soon as I walk through the door.” Consider the term void (i.e., emptiness). Space: Actual Source = Void. Void acts as the origin or constant for this reference frame of space. Void = infinite mode Void = finite mode Space Frame: The assumption is that any variance of void targets spatial-object potentials (e.g., obstacles). I am in. I am out.
  11. 11. 11 EROS a b c 1 2 3 4 5 6 7 8 9 0 more close less close potential infinite y less open more open 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 x finite Between Situation a Between Situation b Between Situation c Between acts as the Target Variable. Reference Frames & Representation Source: Void Here, any variance of void targets between (i.e., objective target potentials). actual
  12. 12. 12 EROS 1 2 3 4 5 6 7 8 9 0 more close less close Source: Void out, infinite, potential y less open more open 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 x in, finite, actual Target Variables wt (n) & coord Solid Separation 1.0 (8 , 3) Regions 0.8 (7 , 1) (15 , 6) Spatial Separation 0.6 Object 0.4 Between = Contextual Changes in Space Weights and coordinates are based on contextual training (Infer: contextualizations of prior text ). • “I will know x as soon as I walk through the door.” Reference Frames & Representation Between: Target Variables Out Region In Region Between Regions
  13. 13. The Dynamical Context 13 EROS 1 2 3 4 5 6 7 8 9 0 more neg less neg Source: void positive, potential y less pos more pos 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 x negative, actual We call the orientation to a situation the Dynamical Context. It is different from the Situational Context. Situational Context: Deals with Prediction Dynamical Context: Deals with Orientation Each reference frame provides an orientation based on the dynamic sense provided by the text. Words and sentences are mapped to reference frames. The reference frames then calibrate to the situation. More about The Dynamical Context: Buildintuit.com About page. • “I will know x as soon as I walk through the door.” Modify Agent: Here, the agent frame is nested in the spatial frame.. The agent has a goal based on navigating the space.. Out Region In Region Between Regions Self Begin/Goal Goal/Begin
  14. 14. 14 EROS • Topic Name: Space(x) For all x If x is space Then x is: Mode Sets: Expand = infinite ⊇ Reduce = finite State Sets: Subject = void ⊇ Object = between Map the words as_I, as_soon, will to Time Map the word through to Space Mapping Text to Reference Frames Shorthand: (∀x) space(x) ⟹ [Infinite(void) ⊇ Finite(between)(x)] (∀x) time(x) ⟹ [Future(present) ⊇ Past(event)(x)] Quadranym Reference Frames Words of a sentence are mapped to different quadranyms (virtual units of responsiveness.) The responsiveness of units to conditions are virtual adaptations to the environment. Reference frames aim to move between general and relevant viewpoints of a situation. X = {<I, will, know, as_soon, as_I, walk, through, the_door>}
  15. 15. 15 EROS Map the word walk to Locomotion Map the word the_door to Door Map the word I, Know to Mental Reference Frames & Quadranyms (∀x) Mental(x) ⟹ [Unknown(knower) ⊇ Known(knowable)(x)] (∀x) Locomotion(x) ⟹ [Move(position) ⊇ Stay(place)(x)] (∀x) Door(x) ⟹ [Open(passage) ⊇ Close(barrier)(x)] (Note: A quadranym is like a word-sense where a quadranym headword can have more than one quadranym body.) Quadranym Reference Frames X = {<I, will, know, as_soon, as_I, walk, through, the_door>}
  16. 16. 16 EROS 1. ∀(x) Space(x) → [Infinite{…)(void{…}) ⊇ Finite{…}(between{…})x] 2. ∀(x) Time(x) → [Future{…)(present{…}) ⊇ Past{…}(event{…})x] 3. ∀(x) Door(x) → [Open{…)(passage{…}) ⊇ Close{…}(barrier{…})x] Nested Units & the Clusters they Hold Space, Time Door, Locomotion, Mental are called word-topics (Headwords) Terms cluster in each of the four dimensions (i.e., facets) We will ignore the quadranyms, mental and locomotion (below) for simplicity’s sake and concentrate on the three basic concepts (above), space, time and door. • ∀(x) locomotion(x) → [Move{…)(position{…}) ⊇ Stay{…}(place{…})x] • ∀(x) mental(x) → [Unknown{…)(knower{…}) ⊇ Known{…}(knowable{…})x]
  17. 17. Source and Target Conditions 17 Void (present) Between (event) Passage (present) Barrier (event) source target Space (time) Door (time) EROS 1. Words above parse into nested topics e.g., space, time and door. 2. Targets of the text are found in the subset of the word-topics. X = {<I, will, know, as_soon, as_I, walk, through, the_door>} 1. Multiplicity: between and barrier share attributes of separateness. 2. Singularity: void and passage share attributes of wholeness.
  18. 18. The Temporal Sense of Source & Targets 18 Void (present) Between (event) Passage (present) Barrier (event) source target Space (time) Door (time) EROS Mapped Source Words Through (i.e., affordance) As_Soon As_I I Mapped Target Words The_Door Will Walk Know • The Zero-Point is about any or all the constituents of the word-topic (Defaults to inclusive/singularity principle). • The Target Variable is about the particular situation of a word-topic (Defaults to exclusive/multiplicity principle). • Source conditions tend to represent the occurrent principles. • Target conditions tend to represent the measurable changes. The Persistence of Nowness The Persistence of Change X= {<I, will, know, as_soon, as_I, walk, through, the_door>}
  19. 19. Reference Frames & Target Variables 19 X finite, past, close, actual 1 2 3 4 5 6 7 8 9 0 more close less close Source: Void, Present, Passage infinite, future, open, potential y EROS less open more open Time_Event Door_Barrier Space_Between_Solid_Separation {Know} {Walk} {Will} {As_Soon, As_I, I, Through} Calibrate To Spatial/Temporal Targets Hierarchical Order 1. Space (10.4 , 1.3). 2. Time ( 14.6 , 7). 3. Door (1.1 , 7). 1 2 3 6 7 8 9 10 11 12 13 14 15 16 17 {The_door} Space Target: Between Solid separation is not x1 - not totally closed. Because, door’s barrier is potential openness. Between Variables Weights Solid Separation 1.0 Regions 0.8 Spatial Separation 0.6 Object 0.4 X= {<I, will, know, as_soon, as_I, walk, through, the_door>}
  20. 20. FROM Source TO Target Conditions 20 EROS 1. Space: Between: Target. 2. Time: Event: {will, walk, know} 3. Door: Barrier: {the_door} 1. Space: Void: Source. 2. Time: Present: : {I, as_soon, as_I} 3. Door: Passage: {through} Source-State Condition Target-State Condition The Dynamical Context Represents Orientation. Orientational Hierarchy e.g. Situational Hierarchy e.g. The Situational Context Represents Situations. Responsiveness, Habits and Conceptual Bias. Understanding the Objective Circumstances. Heuristic/Assumption Deliberation/Debugging Defaults to the inclusive-singularity principle. Defaults to the exclusive-multiplicity principle.
  21. 21. Model: Agent Aligning with World EROS Q analysis has general-principles that essentially provide spatial and temporal defaults for Q categories and roles. 1. Quadranym states represent temporal changes i.e., becoming. 2. Quadranym modes represent spatial changes i.e., measuring. 3. Active-actual state represents self orientation. 4. Passive-potential state represents target variables. 5. Active-potential mode represents potential differences. 6. Passive-actual mode represent the actual differences. (Note: active is resource from which to-align while passive is resource to which is-aligned)
  22. 22. 22 EROS An Ontology of Biases & Alignments A Small List of Primary Quadranym Units. 1. (∀x) Prime Quadranym(x) ⟹ [Expansive(subjective) ⊇ Reductive(objective)(x)] 2. (∀x) Space Quadranym(x) ⟹ [Infinite(void) ⊇ Finite(between)(x)] 3. (∀x) Time Quadranym(x) ⟹ [Future(present) ⊇ Past(event)(x)] 4. (∀x) Goal Quadranym(x) ⟹ [Potential(actual) ⊇ Actual(potential)(x)] 5. (∀x) Align Quadranym(x) ⟹ [Active(active) ⊇ Passive(passive)(x)] Discrete Q systems work together to improve orientational data. Topical interoperability is the ability to adopt or reject the topical orientations of other systems. Competitive performance comparisons advance schemes. (Note: Each unit shares their attributes with the other units. Only positive and negative can flip polarity while for instance, expansive and reductive can not i.e., this means that expansive can align with negative or positive attributes. Aligning dimensions is quickest way to share attributes. • (∀x) Bias Quadranym(x) ⟹ [- ⊕ + (negative) ⊇ + ⊕ - (positive)(x)] (-,+ or +,-)
  23. 23. 23 EROS More information: https://buildintuit.com/about/ There are many ways to render quadranyms and arrange their systems. In this presentation our goal was to relay basic ideas. There is Much More to Explore The aim is to model an agent’s internal responses to external occurrences at nested levels in the system. Thank YouJ Visit and learn about the growing collection of quadranyms and polynyms at polynyms.com (API) .
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