Jul 19 – 22, 2022
SISSA - International School for Advanced Studies
Europe/Rome timezone

Hierarchy as Linear Ordering in a Multidimensional Space

Jul 20, 2022, 3:10 PM
20m
Aula Magna (SISSA - International School for Advanced Studies)

Aula Magna

SISSA - International School for Advanced Studies

Via Beirut, 2–4 I–34151, Grignano, Trieste (TS) Italy
Talk Predictive Processes and Statistical Learning Reading

Speaker

Arianna Compostella (University of Verona)

Description

Human languages are externalized as linear sequences of atomic units.
Generativist approaches assume categorized chunks in language to stem from primitive language-specific properties of the language faculty. Usage-based approaches to language adopt a processing perspective where chunk-formation and word-recognition are strictly tied to statistical computations on the string.
We adopt a processing view and directly address the cognitive foundations of the human capacity to build structure from a linear ordering, exploring the relationship between precedence and containment (Vender et al., 2019, 2020).
We report the results of a series of AGL studies developed adopting a SRT task, where the sequence of the stimuli, presented either visually or haptically, is determined by the rules of the Fibonacci grammar Fib or the foil-grammar Skip.
Fib and Skip share the same two deterministic transitions, but they crucially differ in their structure. Only Fib is characterized by the presence of so-called k-points, which provide a bridge to hierarchical reconstruction, while not giving rise to a predictable deterministic transition. Linearly predicting k-points involves progressively larger chunks, with a non-linear relation between chunk size and prediction power.
We examine children’s and adults’ implicit learning skills, assessing linear learning, while also crucially investigating the ability to predict k-points.
Results provide evidence not only for sequential learning, but also for hierarchical learning in Fib. We propose that the relations of precedence and containment are not antagonistic ways of processing a temporally ordered sequence of units, rather strictly interdependent implementations of an abstract mathematical relation of linear ordering.

Primary authors

Arianna Compostella (University of Verona) Prof. Denis Delfitto (University of Verona) Dr Maria Vender (University of Verona)

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