The Associative Sensory-Indexed Memory Model (ASIM)

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The Associative Sensory-Indexed Memory Model (ASIM)

1. Abstract

This paper presents the Associative Sensory-Indexed Memory (ASIM) model, a conceptual and mathematical framework designed to formalize the process of information retrieval from long-term storage. Building upon a foundation where "Past & Present" records are digitized in a central database, the ASIM model defines retrieval as a dynamic, associative process triggered by a "New Idea" or request. This request is mediated by an "Access Key"—a unique, composite signature derived from the five primary senses (). We define the formal relationship of the system, demonstrating that successful recall is contingent upon the existence of a specific logical mapping between an active Access Key () and a stored Record (). This model provides a foundational taxonomy for investigating memory as a reconstructive, sensory-driven computational process.

2. System Overview

The ASIM model conceptualizes memory access as a multi-stage workflow. Figure 1 illustrates the components and logical flow of this model.

2.1 Key Components

The system operates using three primary entity sets:

  • Key (K): A composite identifier used to query the database.
  • Senses (S): The set of sensory inputs acting as the raw data for key generation. We define the set of senses as .
  • Record (R): A discrete unit of stored information from the past.

2.2 Process Flow

  1. Request Generation: A cognitive event, termed "New Idea" (Request), initiates a retrieval operation.
  2. Key Generation: The Access Key Generator processes current or recalled sensory inputs to synthesize a unique Access Key.
  3. Association: The Access Key is presented to the database, establishing a bidirectional link between the transient Request and the permanent Record.

2.3 Formal Retrieval Model

We formalize the relationship between keys and records using set theory and predicate logic:

  • Access Key Definition: An Access Key () is a unique subset of the total sensory array ().
    • Example: (e.g., a specific visual and auditory combination).
  • Retrieval Logic: The core premise of the ASIM model is that for every queryable Key, there must exist a corresponding, accessible Record. We express this association using existential quantification and the biconditional operator:

Read as: "There exists at least one Record () within the set of records () such that Key () is true if and only if Record () is retrieved."

3. Research Implications

This schematic provides a baseline for several avenues of further research:

  1. Cognitive Architecture Simulation: Testing if computational models (e.g., neural networks) can be structured to prioritize sensory-indexed keys over semantic ones.
  2. Information Retrieval Optimization: Investigating if this sensory-combination model can improve the efficiency of database indexing in AI systems.
  3. Pathology Modeling: Analyzing retrieval failure scenarios (e.g., "tip-of-the-tongue" phenomena) by introducing weights, noise, or incompleteness to the sensory subsets defining the Access Keys.

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