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Decomposition to the Root:

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Title: Decomposition to the Root:


1
Decomposition to the Root  MEG Studies of
Morphologically Complex Words
  • Alec Marantz
  • Olla Solomyak, Ehren Reilly
  • NYU Depts. of Linguistics and Psychology
  • KIT/NYU MEG Joint Research Lab

2
Decomposition to the root(why the morphologist
cares about lexical access)
  • Claim associated now with Distributed Morphology
  • all lexical categories decompose at least to a
    root and a category-determining affix
  • all relations between words or morphemes (e.g.,
    blocking relations) are computed at the syntactic
    level of terminal nodes. Thus a single item
    (e.g., undecomposed irregular past tense gave)
    cannot compete with a complex structure (e.g.,
    give pst) (Embick Marantz 2008)
  • the grammar itself demands full decomposition to
    the root the existence of whole word roots to
    lexical access or processing would necessitate a
    different grammatical system for processing
    language as opposed to, say, computing
    grammaticality

3
Decomposition to the root(why the morphologist
cares about lexical access)
  • Tracking the ami in amiable, then, is one
    step along the way toward understanding how the
    root cat functions inside cat
  • adj n
  • vami adj vcat n
  • -able
    ø

4
(Overly) Simplified Models of Lexical Access
Pinkers Words and Rules
  • Full storage model all complex words (walked,
    taught) stored and accessed as wholes
  • only surface frequency effects predicted
  • Reaction Time (RT) correlates with the surface
    frequency of a complex word
  • Full decomposition model no complex words
    stored and accessed as wholes
  • only stem frequency effects predicted
  • RT correlates with the frequency of the stem of a
    complex word, not the frequency of the word as a
    whole (surface frequency)

5
  • Dual Route Model (Pinkers) irregular complex
    forms (taught) are stored and accessed as wholes
    regular complex forms (walked) are not
  • surface frequency effects for irregulars (and
    high frequency regulars) RT to taught
    correlates with freq of taught, not teach
  • stem frequency but no surface frequency effects
    on access for regulars RT to walked correlates
    with freq of walk, not walked

6
  • There are Stem Frequency effects in access for
    complex words
  • RT to walked does correlate with freq of walk
  • These effects are not attributable to post-access
    decomposition

7
  • But, surface frequency effects in lexical access
    are found in wide variety of cases, including
    completely regular morphology (e.g., for most
    inflected words in Finnish)

8
E.g.
  • Surface frequency effects even for transparent
    productive regular morphology like -less and for
    same words that yield base frequency effects
  • surface frequency effects when surface frequency
    is varied and base frequency is held constant
  • base frequency effects when base frequency is
    varied and surface frequency is held constant

9
Additional Problems for Pinker-style Dual Route
Model
  • The representation of irregular derived or
    inflected forms must be complex
  • from the grammatical point of view, gave is as
    complex as walked
  • no further affixation the gaving, the
    walkeding (note Pinkers appeal to irregular
    plurals inside compounds highlights his incorrect
    prediction here mice eater, but micey
    (mousey))
  • alternations with do support Did he
    walk/walked, Did he give/gave

10
  • from the psycho and neurolinguistic point of
    view, irregulars contain the stem in the same way
    that regulars do
  • taught-teach identity priming in long-lag priming
    (only identity (morphological) relations - not
    semantic nor phonological - survive in long
    distance priming)
  • and for M350 brain response (e.g., Stockall
    Marantz 2006)
  • taught-teach M350 (N400) priming equivalent to
    identity priming, although RT priming is reduced

11
Whole Word Representations for Regulars, if
Surface Frequency effects imply whole word
representations(in some sense)
  • Surface frequency effects on access are seen for
    a variety of completely regular derivations and
    inflections, implying whole word representations,
    in some sense
  • Obligatory decomposition
  • surface frequency effects could be tied to
    decomposition (the more youve decomposed a
    particular letter/sound sequence into stem and
    affix, the faster you are at it) and/or
  • recombination (the more often youve put together
    a particular stem and affix, the faster you are
    at it)
  • in either case, against Pinkers dual route
    model, such effects imply representation of whole
    word as complex structure, regardless of
    regularity

12
  • walked may stored as a complex form with a
    certain frequency in the same way that a saying
    like, And now for something completely different,
    is
  • That is, any surface frequency effect may be
    connected to long-term effects of having computed
    a complex form and thus imply a representation
    of the complex form, no matter how regular
  • This usage-based account of frequency effects
    holds no immediate implications for the grammar
    of morphologically complex words, nor for the
    issue of whether all complex words are recognized
    via decomposition (and recomposition)

13
And now for something completely different
Encyclopedia Stored info about encountered
items (outside language system)
interactive dual route models and obligatory
decomposition models differ on the possible
presence of complex word forms in modality
specific access lexicons, and perhaps on whether
derived forms have lexical entries
unreal
White House
UNREAL (??)
lemma (lexical entry)
not
REAL
unreal (??)
modality specific access lexicon (visual word
form)
un
real
u n r e a l
form code (letters)
14
Differences Between Realistic Dual Route Model
and Realistic Full Decomposition Model
  • Both models require a (modality specific) word
    form lexicon
  • for full decomposition model, this lexicon holds
    only forms of morphemes
  • for dual route model, this lexicon holds some
    morphologically complex forms
  • Dual Route but not Full Decomposition model
    allows whole word lexical entries and word form
    entries for morphologically complex forms

15
Stages of Lexical Accesswhich computations in a
Full Decomposition Model affect RT?
  • I. Decomposition (affix-stripping) no general
    effect on RT
  • Taft cost-free
  • Literature no evidence that ease or difficulty
    in affix stripping generally correlates with
    change in RT
  • MEG studies (to be discussed) brain activity
    correlated with decomposition does not correlate
    with RT (more brain work associated with
    decomposition does not yield longer RTs)

16
  • II. Lemma access frequency of lemma (stem)
    correlates with RT
  • Lemma (stem) access is modulated by frequency and
    by priming
  • Morphological family size of a stem and number of
    related senses (polysemy) have been shown to
    modulate brain activity associated with lemma
    access at the same brain time/place (the M350)
    as stem frequency
  • However, the relationship between an affix and a
    stem for a morphologically complex word has not
    been shown to affect the same brain response

17
  • III. Recomposition surface frequency
    statistics correlate with RT because of their
    role in determining the ease of recomposition of
    stem and affixes
  • So, whole word representations (in the sense of
    Encyclopedia storage or simply in the sense of
    repeatedly used neural pathways) are accessed via
    decomposition and recomposition, where the
    surface frequency properties of these
    representations exert a late influence on lexical
    access

18
Sequential processing of words
19
Sequential processing of words
Pylkkänen and Marantz, 2003, Trends in Cognitive
Sciences
20
Latency of M350 sensitive to lexical factors such
as lexical frequency and repetitionreflects
stage of lexical access
21
Full Decomposition Model Related to MEG response
components
  • M100 (Type I Tarkiainen et al.) response from
    primary visual areas
  • visual feature analysis
  • M130 (Type II) response from occipital-temporal
    junction
  • abstract letter string analysis
  • M170 (visual word from area) response from
    fusiform area
  • affix stripping and functional morpheme
    identification
  • visual word form recognition

22
Regions of interest derived from peak activity in
grand averaged data across subjects
23
  • M350 (early N400m) response from temporal lobe,
    with possible (likely) contribution from inferior
    frontal cortex
  • lemma activation
  • Post-M350 N400m response from temporal lobe (and
    other regions)
  • recombination of stem and affix, contact with
    Encyclopedic knowledge, integration into context

24
Statistical Connections between Stem and Affix
  • J. Hay proposes that the transition probability
    of the affix given the stem (so, from stem to
    affix) should correlated with ease of
    decomposition - the higher this probability, the
    harder the decomposition and the more affix
    dominant a complex word is

25
  • The transition probability of the stem given the
    affix (from affix to stem), on the other hand,
    could reflect the ease of recomposition.
  • Note that for all but the most frequent regular
    English past tense verbs, the probability of the
    stem given the past tense suffix is vanishingly
    small.
  • If RT that seems to correlate with surface
    frequency is actually correlating with the
    transition probability from affix to stem, this
    could explain why regular formations in English
    do not show surface frequency effects unless the
    frequencies are very high.

26
Transition Probabilities Affix dominance
tokens of merely
tokens of merely
tokens of words with -ly
tokens of words containing mere
transition probability from stem to suffix
correlates with ratio of a suffixed words
frequency to frequency of words with the same
stem, which is essentially equivalent to affix
dominance
transition probability from suffix to stem
correlates with ratio of a suffixed words
frequency to the frequency of words with the same
suffix
27
hypothetical examplematched for stem frequency
(9), difference in surface dominant (mere(ly)) or
stem dominant (sane(ly))
  • mere merely
  • mere merely
  • mere merely
  • mere merely
  • merely
  • sane sanely
  • sane
  • sane
  • sane
  • sane
  • sane
  • sane
  • sane

28
Effect of Dominance on Lexical Accessview
from interactive dual route model
  • Hay affix dominance leads to difficulty in
    parsing/decomposition, thus reliance on
    whole-word recognition and suppression of
    decomposition in favor of whole-word route
  • So, words with high affix dominance should not be
    recognized via decomposition and should show only
    surface frequency effects

29
Taft (2004) Morphological Decomposition and the
Reverse Base Frequency EffectObligatory
decomposition makes similar predictions as
interactive Dual Route model for RT in lexical
decision
  • Base frequency effects
  • RT to complex word correlates with freq of stem
  • reflect accessing the stem of morphological
    complex forms whereas
  • Surface frequency effects
  • RT to complex word correlates with freq of
    complex word
  • reflect the stage of checking the recombination
    of stem and stripped affix for existence and/or
    well-formedness.

30
How can we distinguish these accounts of RT
differences?
  • With brain evidence for the various stages of
    lexical access leading up to the RT
  • Interactive dual route models no base frequency
    effects at lexical access for affix-dominant
    words
  • Full decomposition base frequency effects
    across affix- and stem-dominant words at lexical
    access followed by surface frequency effects in
    RT associated with recombination

Reilly, Badecker Marantz 2006 (Mental Lexicon)
31
Experiment parallel behavioral and MEG
processing measures
  • Lexical Manipulation (Baayen, Dijkstra
    Schreuder, 1997, JML)
  • Lemma/stem frequency (CELEX database)
  • Stem vs. affix dominance

Stem Frequency Stem Dominant low surface freq Affix Dominant high surface freq
High desk desks crop crops
Mid deck decks cliff cliffs
Low chef chefs chord chords
32
Stimuli 3 Lexical Categoriesfully productive
morphology
  • Nouns singular/plural
  • bone
  • bones
  • Verbs stem/progressive
  • chop
  • chopping
  • Adjectives adjective/-ly adverb
  • clear
  • clearly

33
Experiment behavioral measures
  • Reliable effect of stem frequency in RT in
    lexical decision

34
Experiment behavioral measures
  • Interacting effects on RT of affixation (base vs.
    affixed) and dominance (base-dominant vs.
    affix-dominant)

This is a surface frequency effect for completely
regular morphology. Same words, both base and
surface frequency effects, undermining Pinker
theory
35
M350 sensors chosen subject by subject
36
Analysis of M350 peak latency(brain index of
lexical access)
  • Reliable effect of Stem frequency for unaffixed
    words and for affixed words

Unaffixed Words
Affixed Words
37
Analysis of M350 peak latency
  • No effect of Dominance (base-dominant vs.
    affix-dominant) - no effect of surface frequency
    - on M350 peak latency Against prediction of
    interactive dual route theory

38
Analysis of M350 peak latency
  • No interaction between Dominance (base-dominant
    vs. affix-dominant) and Affixation (base vs.
    affixed)

M350 peak latency
Behavioral RT
39
Analysis of M350 peak latency
  • Evidence that early stages of access for affixed
    words is based on full parsing Stem frequency
    affects M350/lexical access while whole word
    frequency affects post-access (recombination)
    stage of word recognition.

40
But what about evidence for parsing and
recombination?RMS Correlations Across Subjects
  • For some set of sensors, calculate at each time
    point in each experimental epoch the root mean
    square (RMS) the square root of the mean of the
    squares of the values at each sensor (after
    normalization of values)
  • So, for each subject, for each item, an RMS
    wave can be provided for the correlational
    analysis
  • At each time point, the RMS value for each
    stimulus is correlated with a stimulus variable

41
Grand Average All Stimuli All Subjects (11)
42
M170 sensors chosen on the basis of field
pattern, subject by subject
43
M170 Correlation with DominanceSignificant
parsing effectThe higher the transition
probability from stem to affix, the higher the
M170 amplitude for affix-dominant words
44
Recombination Effect?Correlation with
Conditional Probability of Stem, Given Affix, for
Affixed Words at 450ms, after the M350
45
Summary of Dominance Exp
  • Base and Surface Freq RT effects for same words
    again argues against simplistic (Pinker) Dual
    Route theory
  • Affix dominance effect at M170 for high affix
    dominant words argues against Hays interactive
    Dual Route theory, where such words should be
    accessed via the whole word route as does lack
    of M350 latency effects for these words
  • M350 latency effects for stem frequency but not
    surface frequency (and not affix dominance)
    followed by effect of transition probability from
    affix to stem post M350 argues that recombination
    dominates RT effect for surface frequency of
    affixed words

46
Evidence for an orthographic word form lexicon
  • Frequency of stem relative to full affixed form
    affix dominance correlates with M170 amplitude
    implies access to some kind of stem
    representation
  • Zweig Pylkkänen (2008) show M170 effect of
    decomposition in the contrast between farmer
    (complex) and winter (simple), where the contrast
    implies access to a representation of farm at the
    M170 (wint lacks a representation)

47
Zweig Pylkkänen (2008, LCP)
  • Bimorphemic farmer, Monomorphemic Orth winter

48
Modality-Specific Access Lexicon?
  • Pulvermüller in a number of studies has found
    early (150ms) word frequency effects in evoked
    brain responses in the posterior brain regions
  • These are found for monomorphemic words, and the
    effects seem limited to shorter words
  • These could be explained by higher order n-gram
    frequencies - by the frequencies of letter
    strings, i.e., by features of word form
    representations that do not make contact with the
    (semantic) lexicon

49
Modality-Specific Access Lexicon?
  • Parsing at the M170 requires access to word
    forms (or to high-n n-grams)
  • Dominance effects at the M170 suggest frequency
    information associated with word-forms
  • dominance reflects the conditional probability of
    the affix given the stem, where notion of stem
    implies form representation of the stem
  • Difference between visual word form
    representation and lexical entry?
  • heteronyms like wind (moving air vs. twist)
  • visual word form frequency is not the same as
    lexical frequency
  • wind has one word form frequency but two
    lexical frequencies, one for each meaning

50
Lexical access in early stages of visual word
processing A single-trial correlational MEG
study of heteronym recognition Marantz
Solomyak (2008, Brain Language)
  • All (20) monomorphemic heteronyms (meeting other
    criteria) of English
  • If M170 marks access to visual word form
    representations, but not lexical entries, then
    only form frequency variables associated with
    heteronyms should correlate with M170 brain
    activity
  • If M170 marks lexical access, relative frequency
    of the 2 pronunciations of heteronyms should
    correlate with activity

51
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52
Regions of interest derived from peak activity in
grand averaged data across subjects
53
Visual Word Form Area Left Hemisphere Ventral
View
  • The white point represents the peak of the
    Visual Word Form Area, as identified by Cohen et
    al. (2002)
  • The yellow line outlines the region of peak M170
    activation in an average of 9 subjects brain
    activity.

54
Mean Activity in LH M170 Region for 9
Subjects(Dotted line shows average across
subjects)
55
Grand averaged activation over time from M170 and
M350 ROIs
56
Only the form property (bigram frequency) showed
significant correlation with brain activity in
the M170 ROI while only the semantic property
(ratio of frequency of meanings) showed a
significant correlation in the M350 ROI
A Monte Carlo procedure was used to test for
significance in the face of multiple comparisons
(across time points)
57
Evidence so Far
  • Decomposition even for affix-dominant words
  • evidence at M170 that high transition probability
    between stem and affix makes affix-stripping
    harder
  • evidence post-M350 and at RT that surface
    frequency makes recomposition easier

58
  • Evidence for visual word form lexicon accessed
    at M170
  • transition probability effects at M170 depend on
    frequencies over word form representations
  • complexity effects at M170 (Zweig Pylkkänen)
    depend on wint vs. farm word form contrast farm
    is a word form but wint (in winter) isnt

59
  • Evidence that word form effects involve word
    forms, not lexical entries
  • open bi-gram frequency (representational form for
    word forms) correlates with activity at M170
  • but frequency ratio for heteronyms doesnt
    correlate with activity at M170
  • but does correlate with activity at M350

60
What about the status of bound stems?Can MEG
help settle a disputed linguistic issue
  • Bound stem durable
  • same root in duration
  • predicts durability
  • Unique stem amiable
  • no other uses of root
  • but, predicts amiability

61
tracking the -able in amiable
  • If words like durable with a recurring root and
    amiable with a unique root nevertheless are
    parsed and computed as is workable with a free
    root, then
  • M170 parsing effects should be visible for
    these opaque words, since effects are strong
    for affix-dominant words
  • M350 effects should be observed for stem
    frequency for bound stems

62
Crucial contrasts
  • To show effect of affix processing, need to show
    correlation with, e.g., affix frequency that is
    not equally explained by the positional frequency
    of the letters at end of the affixed word
  • distinguish able as affix from a-b-l-e
  • To show effect of parsing variable transition
    probability of affix given the stem, need show
    correlation with transition probability that is
    not equally explained by the transition
    probability between the last letters of the stem
    and letters of the suffix.

63
Categories of Affixed Words for New Experiment
  • 1. Free Root-Affix
  • taxable
  • 2. Bound Root-Affix
  • tolerable
  • 3. Unique Root-Affix
  • capable
  • Morphological parsing as from English Lexicon
    Project

64
Nine Affixes(All derivational suffixes in
English that yielded reasonable number of
examples for each category)
  • able
  • ary
  • ant
  • ity
  • ate
  • ic
  • er
  • al
  • ion

65
The ROIs determined again from the grand average
across subjects.
66
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67
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68
Decomposition Effects at M170
  • Positional letter string freq effects at M130
  • Affix freq effects but no letter string effects
    at M170
  • Morph trans probability effects but no
    orthographic trans probability effects at M170
    Multiple regression, taking out first
    (non-significant) orthographic parsability leaves
    significant effect of morphological parsability
    at M170

69
Summary
  • At M130, form property of final letter frequency
    correlates with activity
  • At M170, affix frequency but not final letter
    frequency correlates with activity for all
    groups, including bound and unique root groups
  • At M170 transition probability between stem and
    affix, but not between last letters of stem and
    letters of affix, correlates with activity for
    both free and bound stems
  • At M350, stem frequency effects for both free and
    bound root stems

70
bound stems
  • For transition probability results, bound stems
    pattern with free stems
  • For affix frequency results, all stems, including
    unique bound stems, pattern alike
  • Thus we find evidence for full decomposition for
    free, bound, and unique stems

71
Conclusions
  • All evidence massively disconfirms a Pinker-style
    dual route theory in which some morphologically
    complex words are recognized as undecomposed
    wholes
  • Full Decomposition theories of lexical access are
    completely consistent with (in fact predict)
    surface frequency effects for morphologically
    complex words
  • Surface frequency effects reflect statistics of
    composition rather than the frequency of whole
    word access

72
  • MEG data confirm the existence of a visual word
    form lexicon that enters into morphological
    decomposition in the recognition of complex words
  • MEG confirms the morphologists claim that
    decomposition extends to bound and unique roots

73
  • Thanks to the audience and the colloquium
    organizers!
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