Dynamic morphological patterns in linguistic acquisition: Graph theory

Elitzur Dattner1,2, Ronit Levie2, Orit Ashkenazi2, and Dorit Ravid2

1Bar-Ilan Unviersity, 2Tel Aviv Unviersity

Child Language Symposium 2019 | University of Sheffield, July 12, 2019

Introduction

The Hebrew verb

  • Verb lemma = root+pattern (binyan) non-linear formation

  • The prototypical habitat of Hebrew non-linear morphology

  • The earliest derivational system to be acquired in Hebrew

Berman, 1993, 2012; Bolozky, 1996, 2007; Ravid, 2012, in press; Schwarzwald, 2002

The Hebrew verb

  • Root k-t-b + verb pattern (binyan) Hitpa’el = hitkatev 'correspond'

  • ALL Hebrew verbs are based on combination of about 1,500 roots and seven binyan verb conjugations

Berman, 1993, 2012; Bolozky, 1996, 2007; Ravid, 2012, in press; Schwarzwald, 2002

Hebrew verb morphology: a network perspective

• A form-form network

• Connecting roots and patterns (Levie et al., in press; Ravid et al., 2016)

Roots

• The root is Hebrew's main lexical prime, containing 3-4 radicals

• Constitutes the formal and lexical core of the Semitic lemma

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Roots form root-based families:

• lxc+qal = 'press'; lxc+hif'il = 'make someone stressed', lxc+nif'al = 'get stressed'

• pcc+pi'el = 'bomb'; pcc+hitpa'el = 'blow up', pcc+pu'al = 'got blown up'

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Patterns

• Each pattern provides a unique paradigm of five non-linear temporal patterns

• Each temporal pattern is a unique vocalic (morpho-phonologic) template

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Patterns

• The pattern (binyan) system is composed of seven types

• A pattern classifies verbs by transitivity related syntactico-semantic functions (causativity, inchoativity, reciprocity, reflexivity, middle voice, passive voice)

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Patterns form pattern-based families:

• Ɂxl 'eat', cxk 'laugh', lxc 'stressed someone', psk 'stop (tr.)', zxr 'recall (tr.)', kfc 'jump (tr.)', lbš 'dress (tr.)', kra 'read (tr.)' are related by the hif'il pattern

• skm 'summarize', pcc 'blow up (tr.)', kns 'gather' are related by the pi'el pattern

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Two subsystems

Old vs. New

• Each sub-system is a set of mutually exclusive patterns (old: 4; new: 3)

• Each sub-system fully expresses all verb functions and all transitivity values (basic, causative, middle, inchoative, reflexive, reciprocal, passive) (Ravid et al., 2016)

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Two subsystems

Old vs. New

• Semi-productive dual system: serves as a highly efficient platform for expanding the verb lexicon across development

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Two subsystems

Old vs. New

• Critical interface with syntax: strongly linked to verb argument structure (Ashkenazi et al., in press; Dattner, 2015; Ravid, in press)

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@ Out of My Gord

Network analysis: rational

• Network analysis is an effective way of studying complex and distributed systems (Bell et al., 2017; Kolaczyk, 2009)

• The development of dynamic systems with growing complexity is at the heart of language acquisition (Vitevitch & Goldstein, 2014)

• Language development is dynamic, entailing growing complexity of networks (Beckage, Smith, & Hills, 2011; Levie et al., In press; Salmon, Dattner & Ravid, 2018; Steyvers, & Tenenbaum, 2004)

Yosemite National Park
@ Out of My Gord

Network analysis: rational

• The mental lexicon is often metaphorically described as a network (e.g., Elman, 2004; Kenett et al., 2011)

• A metaphor that mostly characterizes the interconnected nature of the semantic relations between words

• Here we show that this metaphor captures the interconnected nature of the morphological relations within the verb lexicon as well

Data and method

Data

10 sub-corpora; CS and CDS; 500 tokens sample each


Child speech

    • CS: two mother-toddler dyads - a boy and a girl, 1;8-2;2

      Dense recordings (three times a week, one hour each time) over a period of six months; mid-high SES, typical development. Total corpus: 7,706 verb tokens (72,086 words)

    • Peer talk: conversations of six age groups: 2;0-2;6, 2;6-3;0, 3;0-4;0, 4;0-5;0, 5;0-6;0, 7;0-8;0

      30-minute recordings of triads of same-age children in spontaneous play. Native Hebrew speakers, typical development, mid-high SES. Total corpus: 6,073 verb tokens (32,981 words)

Data

10 sub-corpora; CS and CDS; 500 tokens sample each


Child (infant) directed speech

    • IDS: one dyad of mother-baby girl, 6, 9, 12 months (a total of 3 hours)

      Mid-high SES. Total corpus: 1,109 verb tokens (4,908 words)

    • CDS: two mother-toddler dyads - a boy and a girl, 1;8-2;2

      Dense recordings (three times a week, one hour each time) over a period of six months; mid-high SES, typical development. Total corpus: 54,810 verb tokens (299,461 words)

    • Children's books: 140 children books

      100 Children’s storybooks, age 1-7; 40 novice readers books (first and second grades): Texts written by experts. Total corpus: 10,943 verb tokens (49,348 words)

Network structure

  • Nodes

    Roots and patterns
  • Links

    Verb lemmas (repeated links = repeated tokens)
  • Node size and color

    Frequency and centrality →
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Node centrality

  • Measure

    Nodes that are connected to many other nodes that are connected to many others, etc...
  • Importance

    High centrality nodes are busy hubs (red color)
  • Hypotheses

    Specific nodes' centrality would change through development
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Network density

  • Measure

    Proportion of observed links relative to the maximum number of possible links
  • Growth potential

    Low density = high growth potential: The potential to form new links between roots and patterns
  • Hypotheses

    A low density network has more room to grow: more possible new links between roots and patterns (Levie et al., in press)
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Results

Child Speech, 1;8-2;2

• No links between the sub-systems

• Old system productive; new system less so

• Many repeated links

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Peer Talk, 2;0-2;6

• No links between the sub-systems

• Old system productive; new system gains centrality

• Many repeated links

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Peer Talk, 2;6-3;0

• Links between the sub-systems

• Old system productive; new system gains more centrality

• Many repeated links; more single tokens

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Peer Talk, 3;0-4;0

• More links between the sub-systems

• Old system productive; new system gains more centrality

• Many repeated links; more single tokens

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Peer Talk, 4;0-5;0

• Links between the sub-systems

• Links within the new system

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Peer Talk, 5;0-6;0

• More links between the sub-systems

• Links within the new system

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Peer Talk, 7;0-8;0

• Links between the sub-systems

• nif'al gains centrality

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IDS, 0;6-1;0

• Links between the sub-systems

• Links within the new system

• Old system productive; new system too, but less

• Passive pattern pu'al

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CDS, 1;8-2;2

• Links between the sub-systems

• nif'al gains centrality

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Children's books

• Many links between the sub-systems

• Many links within the new system

• nif'al gains centrality

• Passive pattern huf'al

• Fewer recurrent links

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Reminder: node centrality

  • Measure

    Nodes that are connected to many other nodes that are connected to many others, etc...
  • Importance

    High centrality nodes are busy hubs (red color)
  • Hypotheses

    Specific nodes' centrality would change through development
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The centrality values of the patterns hif'il and pi'el change through development. Other patterns remain steady: either very low, or very high as in the case of qal which is not represented here

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Trade off: as pi'el gains importance in the network, the role of hif'il becomes less prominent

Reminder: network density

  • Measure

    Proportion of observed links relative to the maximum number of possible links
  • Growth potential

    Low density = high growth potential: The potential to form new links between roots and patterns
  • Hypotheses

    A low density network has more room to grow: more possible new links between roots and patterns (Levie et al., in press)
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Density significantly declines with age (X2=2512, p<0.001)

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CS, 2;0-5;0, 7;0-8;0 > expected; 5;0-6;0, CDS = expected; IDS, children books < expected

Conclusions

1

Node centrality changes with age

The verb lexicon is dynamic through development: patterns play different roles in each stage. Competing patterns' roles interact

2

Network density declines with age

A more mature network means more potential to form new links between (new and old) roots and patterns, and between subsystems

Take home

Using network analysis you can

Reveal structure:
discover the structure of links between forms, capture type and token frequency simultaneously

Using network analysis you can

Quantify beyond frequency:
Network values indicate on quantifiable developmental paths that are not limited to counting types or tokens

Thank you!