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Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon. Bob McMurray University of Iowa Dept. of Psychology

Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

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Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon. Bob McMurray University of Iowa Dept. of Psychology. Collaborators. Richard Aslin Michael Tanenhaus David Gow. Joe Toscano Cheyenne Munson Meghan Clayards Dana Subik. - PowerPoint PPT Presentation

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Page 1: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Back to the future: Where we’re going, we don’t need phonemes.

Implications of a gradient lexicon.

Bob McMurrayUniversity of Iowa

Dept. of Psychology

Page 2: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Collaborators

Richard AslinMichael TanenhausDavid Gow

Joe ToscanoCheyenne MunsonMeghan ClayardsDana Subik

The students of the MACLab

Page 3: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

In language, information arrives sequentially.

• Partial syntactic and semantic representations are formed as words arrive.

The cowboy chased by the

• Words are identified over sequential phonemes.

Linguistics department yodeled

Page 4: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Spoken Word Recognition is an ideal arena in which to study these issues because:

• Speech production gives us a lot of rich temporal information to use in this way.

• We have a clear understanding of the input (from phonetics).

• The output is easy to measure online

Page 5: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Online Comprehension

• Listeners form hypotheses as the input unfolds.

• Need measurements of how listeners interpret speech, moment-by-moment.

• May reveal how information is integrated:

- Discreteness vs. Gradiency- Combinatorial Units

Page 6: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Mechanisms of Temporal Integration

Stimuli do not change arbitrarily.

Perceptual cues reveal something about the change itself.

Active integration:• Anticipating future events• Retain current partial representations.• Resolve prior ambiguity.

Page 7: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Overview

1) Speech perception and Spoken Word Recognition.

time

Input: b... u… tt… e… r

beach

bumpputter

dog

butter

time

Input: b... u… tt… e… r

beach

bumpputter

dog

butter

2) Lexical activation is sensitive to fine-grained detail in speech.

4) Back in time: staying off the garden-path.

3) Where we’re going, we don’t need phonemes: evidence for continuous information integration.

Lexicon

Cue 1 Cue 2 time

Lexicon

Cue 1 Cue 2 timeCue 1 Cue 2 time

5) Forward to the future: coping with (and benefiting from) with phonological modification.

Page 8: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

bakeryba…

basic

barrier

barricade bait

baby

Xkery

bakery

X

XXX

Online Word Recognition

• Information arrives sequentially• At early points in time, signal is temporarily ambiguous.

• Later arriving information disambiguates the word.

Page 9: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Current models of spoken word recognition

• Immediacy: Hypotheses formed from the earliest moments of input.

• Activation Based: Lexical candidates (words) receive activation to the degree they match the input.

• Parallel Processing: Multiple items are active in parallel.

• Competition: Items compete with each other for recognition.

Page 10: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

time

Input: b... u… tt… e… r

beach

bump putter

dog

butter

Page 11: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

These processes have been well defined for a phonemic representation of the input.

But considerably less ambiguity if we consider subphonemic information.

Example: subphonemic effects of motor processes.

Page 12: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Coarticulation

Sensitivity to these perceptual details might yield earlier disambiguation.

Example: CoarticulationArticulation (lips, tongue…) reflects current, future and past events.

Subtle subphonemic variation in speech reflects temporal organization.

n ne et c

k

Any action reflects future actions as it unfolds.

Page 13: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

These processes have largely been ignored because of a history of evidence that perceptual variability gets discarded.

Example: Categorical Perception

Page 14: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Categorical Perception

B

P

Subphonemic variation in VOT is discarded in favor of a discrete symbol (phoneme).

• Sharp identification of tokens on a continuum.

VOT

0

100

PB

% /p

/

ID (%/pa/)0

100Discrim

ination

Discrimination

• Discrimination poor within a phonetic category.

Page 15: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Categorical Perception (CP)

Defined fundamental computational problems.

CP is output of • Speech perception

Input to • Phonology• Word recognition.

Phon

olog

y

Words

Phonemes

Sound

Sense

Page 16: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Categorical Perception (CP)

Enables a divide-and-conquer approach.

Phon

olog

y

Words

Phonemes

Sound

But, assumes that

1) Speech tasks tap phonemes (or something like them)

2) Phonemes (or something like them) are legitimate processing units.

Sense

Page 17: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Evidence against the strong form of Categorical Perception from psychophysical-type tasks:

Discrimination Tasks Pisoni and Tash (1974) Pisoni & Lazarus (1974)Carney, Widin & Viemeister (1977)

Training Samuel (1977)Pisoni, Aslin, Perey & Hennessy (1982)

Goodness Ratings Miller (1997)Massaro & Cohen (1983)

Classic explanation:

Auditory tasks: non-categoricalPhonological tasks: categorical

Paradigmatic CP: within-category variation is noise.Not important to higher language.

Page 18: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Categorical Perception (CP)

“Phonological/auditory” task distinction

• validates standard paradigm?

or

• assume standard paradigm?Ph

onol

ogy

Words

Phonemes

Sound

Sense

Cont. cues

(non-CP)

Page 19: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Minimal computational problem:

Computing meaning.

Phon

olog

y

Words

Phonemes

Sound

Page 20: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Minimal computational problem:

Computing meaning.

Phon

olog

y

Words

Phonemes

Sound

CP tasks don’t necessarily tap a stage of this problem. ?CP

Page 21: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Minimal computational problem:

Computing meaning.

Phon

olog

y

Words

Phonemes

Sound

CP tasks don’t necessarily tap a stage of this problem.

Lexical representation: clearly a component.

Goal: Reassess continuous sensitivity (non-CP) w.r.t. words

Page 22: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

?Does within-category acoustic detail

systematically affect higher level language?

Is there a gradient effect of continusuous acoustic detail on lexical activation?

Experiment 1

Page 23: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

A gradient relationship would yield systematic effects of subphonemic information on lexical activation.

If this gradiency is useful for temporal integration, it must be preserved over time.

Need a design sensitive to both acoustic detail and detailed temporal dynamics of lexical activation.

Experiment 1

McMurray, Aslin & Tanenhaus (2002)

Page 24: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Use a speech continuum—more steps yields a better picture acoustic mapping.

KlattWorks: generate synthetic continua from natural speech.

Acoustic Detail

9-step VOT continua (0-40 ms)

6 pairs of words.beach/peach bale/pale bear/pearbump/pump bomb/palm butter/putter

6 fillers.lamp leg lock ladder lip leafshark shell shoe ship sheep shirt

Page 25: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon
Page 26: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

How do we tap on-line recognition?With an on-line task: Eye-movements

Subjects hear spoken language and manipulate objects in a visual world.

Visual world includes set of objects with interesting linguistic properties.

a beach, a peach and some unrelated items.

Eye-movements to each object are monitored throughout the task.

Temporal Dynamics

Tanenhaus, Spivey-Knowlton, Eberhart & Sedivy, 1995

Page 27: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

• Relatively natural task.

• Eye-movements generated very fast (within 200ms of first bit of information).

• Eye movements time-locked to speech.

• Subjects aren’t aware of eye-movements.

• Fixation probability maps onto lexical activation..

Why use eye-movements and visual world paradigm?

Page 28: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

A moment to view the items

Task

Page 29: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon
Page 30: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Task

Bear

Repeat 1080 times

Page 31: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

By subject: 17.25 +/- 1.33ms By item: 17.24 +/- 1.24ms

High agreement across subjects and items for category boundary.

0 5 10 15 20 25 30 35 400

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

VOT (ms)

prop

ortio

n /p

/

B P

Identification Results

Page 32: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Task

Target = Bear

Competitor = Pear

Unrelated = Lamp, Ship

200 ms

1

2

3

4

5

Trials

Time

% fi

xatio

ns

Page 33: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Task

00.10.20.30.40.50.60.70.80.9

0 400 800 1200 1600 0 400 800 1200 1600 2000

Time (ms)

More looks to competitor than unrelated items.

VOT=0 Response= VOT=40 Response=Fi

xatio

n p

ropo

rtio

n

Page 34: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Task

Given that • the subject heard bear• clicked on “bear”…

How often was the subject looking at the “pear”?

Categorical Results Gradient Effect

target

competitortime

Fixa

tion

prop

ortio

n target

competitor competitorcompetitortime

Fixa

tion

prop

ortio

n target

Page 35: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Results

0 400 800 1200 16000

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0 ms5 ms10 ms15 ms

VOT

0 400 800 1200 1600 2000

20 ms25 ms30 ms35 ms40 ms

VOT

Com

petit

or F

ixat

ions

Time since word onset (ms)

Response= Response=

Long-lasting gradient effect: seen throughout the timecourse of processing.

Page 36: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0 5 10 15 20 25 30 35 400.02

0.03

0.04

0.05

0.06

0.07

0.08

VOT (ms)

CategoryBoundary

Response= Response=

Looks to

Looks to C

ompe

titor

Fix

atio

ns

B: p=.017* P: p<.001***Clear effects of VOTLinear Trend B: p=.023* P: p=.002***

Area under the curve:

Page 37: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0 5 10 15 20 25 30 35 400.02

0.03

0.04

0.05

0.06

0.07

0.08

VOT (ms)

Response= Response=

Looks to

Looks to

B: p=.014* P: p=.001***Clear effects of VOTLinear Trend B: p=.009** P: p=.007**

Unambiguous Stimuli Only

CategoryBoundaryC

ompe

titor

Fix

atio

ns

Page 38: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Summary

Subphonemic acoustic differences in VOT have gradient effect on lexical activation.

• Gradient effect of VOT on looks to the competitor.

• Seems to be long-lasting.• Effect holds even for unambiguous stimuli.

Consistent with growing body of work using priming (Andruski, Blumstein & Burton, 1994; Utman, Blumstein & Burton, 2000; Gow, 2001, 2002).

Page 39: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

1) Word recognition is systematically sensitive to subphonemic acoustic detail.

2) Continuous acoustic detail is represented as gradations in activation across the lexicon.

4) Gradient sensitivity coupled to normal word recognition processes enables the system to take advantage of subphonemic regularities for temporal integration.

An alternative framework

3) This can do the work of sublexical units like phonemes.

Page 40: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Lexical Sensitivity

1) Word recognition is systematically sensitive to subphonemic acoustic detail.

Voicing Laterality, Manner, Place Natural Speech Vowel Quality Infant voicing categories

Page 41: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Voicing Laterality, Manner, Place Natural Speech Vowel Quality Infant voicing categories

Metalinguistic Tasks

B

ShL

P

Extensions

1) Word recognition is systematically sensitive to subphonemic acoustic detail.

Page 42: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Voicing Laterality, Manner, Place Natural Speech Vowel Quality Infant voicing categories

Metalinguistic Tasks

0 5 10 15 20 25 30 35 40

VOT (ms)

CategoryBoundary

0

0.02

0.04

0.06

0.08

0.1

Response=BLooks to B

Response=PLooks to B

Com

petit

or F

ixat

ions

Extensions

1) Word recognition is systematically sensitive to subphonemic acoustic detail.

Page 43: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0 5 10 15 20 25 30 35 40

VOT (ms)

CategoryBoundary

0

0.02

0.04

0.06

0.08

0.1

Response=BLooks to B

Response=PLooks to B

Com

petit

or F

ixat

ions

Voicing Laterality, Manner, Place Natural Speech Vowel Quality Infant voicing categories

Metalinguistic Tasks

Extensions

1) Word recognition is systematically sensitive to subphonemic acoustic detail.

Page 44: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Lexical Sensitivity

1) Word recognition is systematically sensitive to subphonemic acoustic detail.

Voicing Laterality, Manner, Place Natural Speech Vowel Quality Infant voicing categories

Metalinguistic Tasks

? Non minimal pairs? Duration of effect

(Exp 3-4)

Page 45: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

time

Input: b... u… m… p…

bun

bumper

pump

dump

bump

bomb

2) Continuous acoustic detail is represented as gradations in activation across the lexicon.

Page 46: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

If lexical processes can represent speech detail, do we need sublexical processes?

Perhaps:How are multiple cues (to the same phoneme) integrated? (Exp 2)

3) This can do the work of sublexical units like phonemes.

Page 47: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Regressive ambiguity resolution (exp 3-5):• Ambiguity retained until more information arrives.

Progressive expectation building (exp 5-6):• Phonetic distinctions are spread over time• Anticipate upcoming material.

Temporal Integration

4) Gradient sensitivity coupled to normal word recognition processes enables the system to take advantage of subphonemic regularities for temporal integration.

Page 48: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Overview

1) Speech perception and Spoken Word Recognition.

2) Lexical activation is sensitive to fine-grained detail in speech.

4) Back in time: staying off the garden-path.

3) Where we’re going, we don’t need phonemes: evidence for continuous information integration.

Lexicon

Cue 1 Cue 2 time

Lexicon

Cue 1 Cue 2 timeCue 1 Cue 2 time

5) Forward in time: coping with (and benefiting from) with phonological modification.

Page 49: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Traditional speech chain: signal-> phonemes -> words

phonemes

words

Substitute your favorite sublexical unit here (syllables, diphones, etc)…

ə

Page 50: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Measuring phonemes

What do phonemes do?

phonemes

words

phonemes

words

1) Categorize continuous acoustic detail?

2) Integrate multiple cues?

3) Generalize phonological information during development?

4) Learning new words?

5) Speech production?

6) Reading?

Page 51: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Measuring phonemes

phonemes

words

phonemes

words

1) Categorize continuous acoustic detail? (categorizer)

2) Integrate multiple cues? (buffer)

What do you do with phonemes?

We have: an extremely sensitive measure of:- lexical activation

- temporal dynamicsCan we use it to assess sublexical processes?

- Categorization - Integration

Occam’s razor: if this stuff doesn’t happen until the information meets the lexicon then phonemes are

- not adding anything computationally.- not theoretically necessary

Page 52: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Measuring phonemes

No.

Computational Necessity of the phoneme.

Logic:Take the phoneme seriously.What does it do (computationally) (in a specific task)?Does that actually get done (during comprehension)?

The psychological reality of the phoneme?

May still “exist”…May still have computational necessity for other tasks…

Page 53: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

1) Categorizing continuous detail

1) Categorize continuous acoustic detail. (phoneme as “categorizer”

Categorical perception: continuous detail discarded.- only in metalinguistic tasks (what are these

tapping?)

Gradient lexical activation: continuous detail systematically affects lexical activation.

Phonemesə

No phonemes required

Page 54: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

2) Integrating multiple cues

2) Integrating multiple cues. (phoneme as “buffer”)

Phonetic cues for a given phoneme are spread out over time.

• Combined at phoneme level prior to accessing lexicon?

or

• Direct access to lexicon. Lexical integration?

Page 55: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Integrating multiple cues

Lexicon

time

Phoneme

Cue 1 Cue 2 time

Cue 2Cue 1Phoneme Story

• Integration before lexical access

• “Buffer”

The Alternative

• Integration at the Lexicon

Page 56: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

The Logic

The Logic:

1) Assess Temporal Integration.

- Use two asynchronous cues to single phoneme.- Assess lexical activation over time.

Simultaneous effects: phonemic integration.Asynchronous effects: lexical integration.

Page 57: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

The Logic

The Logic:

1) Assess Temporal Integration.

- Use two asynchronous cues to single phoneme.- Assess lexical activation over time.

Simultaneous effects: phonemic integration.Asynchronous effects: lexical integration.Which cues?

Page 58: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

VOT Vowel Length

Asynchronous cues

Both covary with speaking rate: rate normalization

Asynchronous cues to voicing: VOT Vowel Length

Page 59: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

VOT Vowel LengthVOT Vowel Length

Phonetic Context

Asynchronous cues to voicing: VOT Vowel Length

Both covary with speaking rate: rate normalization

Page 60: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Manner of Articulation Formant Transition Slope (FTSlope): Temporal cue like VOT: covaries with vowel length.

belt

welt

Page 61: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

9-step VOT continua (0-40 ms) beach/peachbeak/peakbees/peas

9-step formant transition slopebench/wenchbelt/weltbell/well

2 Vowel Lengths x

The usual task

1080 Trials

Page 62: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Experiment 2

Results

Step 1: Assess gradiency

Step 2:Assess temporal integration

Page 63: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

9-step b/w continuaVOT varied.

bench/wenchbelt/weltbell/well

Manner Continua

00.10.20.30.40.50.60.70.80.91

1 2 3 4 5 6 7 8 9

Step

% W

LongShort

N=36

Page 64: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Manner Continua

Experiment 1

Looks to competitor

Clicked on Clicked on

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)

Look

s to

B

12345

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)

Look

s to

W

-5-4-3-2-1

All ConsB .0001 .003W .0001 .01

Page 65: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Gradiency Results

Exp 2

All ConsManner B

W

Voicing BP

Page 66: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Gradiency Results

All ConsManner B

W

Voicing B P

Page 67: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Gradiency Results

All Cons All ConsManner B

W

Voicing B P

Replication

• Replication of gradiency with Manner + Voicing.

• Phoneme not required as “categorizer” (categorization isn’t happening)

Page 68: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Integrating multiple cues

Lexicon

time

Phoneme

Cue 1 Cue 2 time

Cue 2Cue 1Phoneme Story

• Integration before the Lexicon

• “Buffer”

The Alternative

• Integration at the Lexicon

Page 69: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

?Results: Temporal Dynamics

When do effects on lexical activation occur?

VOT / FTStep effects cooccurs with vowel length.(Phonemic Integration)

VOT / FTStep precedes vowel length.(Lexical integration)

Page 70: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

-30 -25 -20 -15 -10 -5 0

Distance from Boundary (VOT)

Com

petit

or F

ixat

ions

Y = M320x + B M320 = 0

• VOT / FTStep: Regression slope of competitor fixations as a function of VOT.

Compute 2 effect sizes at each 20 ms time slice.

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)

Loo

ks to

P

-5-4-3-2-1

t

Time = 320 ms…

Page 71: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

-30 -25 -20 -15 -10 -5 0

Distance from Boundary (VOT)

Com

petit

or F

ixat

ions

Y = M720x + B

• VOT / FTStep: Regression slope of competitor fixations as a function of VOT.

Compute 2 effect sizes at each 20 ms time slice.

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)

Loo

ks to

P

-5-4-3-2-1

t

Time = 720 ms…

Page 72: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

VOT = 30

0

0.05

0.1

0.15

0.2

0.25

0 500 1000 1500 2000 2500

Time (ms)

Com

petit

or F

ixat

ions

LongShort

Compute 2 effect sizes at each 20 ms time slice.

• Vowel Length: Difference (D) between fixations after hearing long vs. short vowel.

• Repeat for each time slice, subject.

L-S = VL

Page 73: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Resulting dataset…

Subject Time VOT (M) Vowel (D)1 20 -0.0023 0.0094

40 -0.0016 0.009560 -0.0008 0.0108…2000 0.06021 0.123

2 20 0.0014 0.009140 0.0018 0.008860 0.0029 0.0104…2000 0.0604 0.1223

Compute average effect size at each time slice.

When does it (statistically) depart from 0?

Page 74: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Voiced Sounds OnlyVOT: 660 ms

Vowel: 820 ms

-0.1

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1

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)

Effe

ct S

ize

VOTVowel

t

Voicing Continua: Temporal Dynamics

Page 75: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Voiceless Sounds Only

Voicing Continua: Temporal Dynamics

-0.1

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1

0 500 1000 1500 2000

Time (ms)

Effe

ct S

ize

VOTVowel

VOT: 640 msVowel: 780 ms

Page 76: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Combined

Voicing Continua: Temporal Dynamics

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1

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Time (ms)

Effe

ct S

ize

VOTVowel

VOT: 560 msVowel: 800 ms

Page 77: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Integration Results

VOT VowelVoicing B 660 820

P 640 780 All 560 800

Manner BWAll

Page 78: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Stops only

Manner Continua: Temporal Dynamics

-0.3

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1

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Time (ms)

Effe

ct S

ize

FTStepVowel

FTStep: 840 msVowel: 1340 ms

Page 79: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Approximants only

Manner Continua: Temporal Dynamics

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1

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Time (ms)

Effe

ct S

ize

FTStepVowel

FTStep: 280 msVowel: 860 ms

Page 80: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Combined

Manner Continua: Temporal Dynamics

-0.1

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1

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Time (ms)

Effe

ct S

ize

FTStepVowel

FTStep: 620 msVowel: 880 ms

Page 81: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Integration Results

VOT/FT VowelVoicing B 660 820

P 640 780 All 560 800

Manner B 840 1340 W 280 860 All 620 820

Page 82: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Replication Underway

VOT/FT VowelVoicing B 660 820

P 640 780 All 560 800

Voicing II All 560 800 B 560 800 P 660 860

Manner B 840 1340 W 280 860 All 620 820

Manner II All 620 740 B 440 680 W 700 880

Page 83: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Exp 2: Summary

Phonemes not computationally necessary for:• Phonetic categorization.• Asynchronous cue integration.

words

ə

Still may play a role in • Development• Reading• Production…

Between signal and words there doesn’t appear to be any

• Complex computation• Nonlinearities

What role do intermediate units play?

Page 84: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Exp 2: Summary

Phonemes not computationally necessary for:• Phonetic categorization.• Asynchronous cue integration.

words

ə

What is doing the work?

Lexical activation processes.

Page 85: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Overview

1) Speech perception and Spoken Word Recognition.

2) Lexical activation is sensitive to fine-grained detail in speech.

4) Back in time: staying off the garden-path.

3) Where we’re going, we don’t need phonemes: evidence for continuous information integration.

5) Forward in time: coping with (and benefiting from) with phonological modification.

Page 86: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Competitor still active - easy to activate it rest of the way.

Competitor completely inactive- system will “garden-path”.

P ( misperception ) distance from boundary.

Gradient activation allows the system to hedge its bets.

What if initial portion of a stimulus was misperceived?

Misperception

Page 87: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

time

Input: p/b eI r ə k i t…

parakeetbarricade

Categorical Lexicon

barricade vs. parakeet

parakeet

barricade

Gradient Sensitivity

/ beIrəkeId / vs. / peIrəkit /

Page 88: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Experiment 3

Can gradient maintenance of lexical alternatives prevent system from wandering down “garden-path”?

By avoiding commitment to a discrete phoneme, can the system elegantlyrecover from earlymisperception?

Misperception

come on, gz.lt’s go!

əə

Page 89: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

10 Pairs of b/p items.

Voiced Voiceless OverlapBumpercar Pumpernickel 6Barricade Parakeet 5Bassinet Passenger 5Blanket   Plankton 5Beachball Peachpit 4Billboard Pillbox 4Drain Pipes Train Tracks 4Dreadlocks Treadmill    4Delaware Telephone   4Delicatessen Television   4

Experiment 3 Methods

Page 90: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

X

Page 91: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

05101520253035

0

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1

300 600 900

Time (ms)

Fixa

tions

to T

arge

t

VOT

Barricade -> Parricade

Experiment 3: Results

Faster activation of target as VOTs near lexical endpoint.

—Even within the non-word range.

Page 92: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

05101520253035

0

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1

300 600 900

Time (ms)

Fixa

tions

to T

arge

t

VOT

Barricade -> Parricade Parakeet -> Barakeet

300 600 900 1200

Time (ms)

Faster activation of target as VOTs near lexical endpoint.

—Even within the non-word range.

Experiment 3: Results

Page 93: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Target: p=.001VOT: p = .0001T x V: p=.002

Voiceless: No sudden, categorical shift—just smooth gradiency.

0.4

0.45

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0.55

0.6

0.65

0 5 10 15 20 25 30 35

Distance from Prototype (VOT, ms)

Fixa

tions

to T

arge

t

B

P

Page 94: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Target: p=.001VOT: p = .0001T x V: p=.002

Voiced:Categorical???

0.4

0.45

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0.55

0.6

0.65

0 5 10 15 20 25 30 35

Distance from Prototype (VOT, ms)

Fixa

tions

to T

arge

t

B

P

0.520.530.540.550.560.570.580.590.6

0.610.62

0 5 10 15 20 25 30 35

Distance from Prototype (VOT, ms)

Fixa

tions

to T

arge

t

B

Page 95: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Experiment 3: Garden path

XXXb/parri…

Garden-path analysis:

Identify trials in which

Time FixationPre POD Competitor

Page 96: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

XXXb/parricade

Garden-path analysis:

Identify trials in which

Time FixationPre POD CompetitorPost POD Target

Is the latency to switch to the target related to VOT?• Accelerated latency = more (residual) target activation

Page 97: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

XXXb/parricade

Is the latency to switch to the target related to VOT?

• Accelerated latency = more (residual) target activation

Sparse databut:

100

120

140

160

180

200

220

240

260

0 5 10 15 20 25 30

Distance from Prototype (VOT, ms)

Tim

e to

Tar

get

Voiced

Voiceless

B: p=.002P: p=.007

Page 98: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

XXXb/parricade

Is the latency to switch to the target related to VOT?

• Accelerated latency = more (residual) target activation

VOT: p=.0001Targ: p=.001V x T: p>.1

120

140

160

180

200

220

240

260

280

0 5 10 15 20 25 30 35

Distance from Prototype (VOT, ms)

Tim

e to

Tar

get

Voiced

Voiceless

More data…

Page 99: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Experiment 3: Summary

?

Same gradiency seen in McMurray et al (2002)

Facilitates ambiguity resolution (time-to-target)• 240 ms after VOT

Gradiency lasts…… and is useful

?????Idiosyncracies:

• Attenuated gradiency for B• Interactions with target (voiced/voiceless).

Effect of reduced VOT range?

Page 100: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Barricade -> Parricade

00.10.20.30.40.50.60.70.80.9

300 500 700 900 1100 1300Time (ms)

Fixa

tions

to T

arge

t

0.4

0.45

0.5

0.55

0.6

0.65

0 10 20 30 40

Distance from Prototype (VOT, ms)

Fixa

tions

to T

arge

t

VoicedVoiceless

Target fixations.

Gradient VOT: - both targetsReduced target effectNo interaction

p=.0001

Replication: longer continua (0-45 ms).

Page 101: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Experiment 4

Exp 4Does the presence of the visual competitor (parakeet)

artificially heighten competitor activation (and cause the effect)?

XXX0

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300 500 700 900 1100 1300

Time (ms)

Fixa

tions

to T

arge

t

0

5

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15

20

25

30

35

40

450

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300 500 700 900 1100 1300

Time (ms)

Fixa

tions

to T

arge

t

0

5

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15

20

25

30

35

40

45

Page 102: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

XXXb/parricade

Is the latency to switch to the target related to VOT?

• Accelerated latency = more (residual) target activation

p=.0001

Experiment 4: Garden Path

100

150

200

250

0 10 20 30 40

Distance from Prototype (VOT, ms)

Tim

e to

Tar

get

VoicedVoiceless

No Competitor

Page 103: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Gradiency:Gradient effect of within-category variation without minimal-pairs.

Regressive Ambiguity Resolution

Gradient effect long-lasting: mean POD = 240 ms.

Page 104: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Gradiency:Gradient effect of within-category variation without minimal-pairs.

Regressive Ambiguity Resolution

Regressive ambiguity resolution:• Subphonemic gradations maintained until more

information arrives.• Improves (or hinder) recovery from garden path.• Gradient lexical sensitivity prevents over-

committing to a garden-path interpretation.• Likely lexical locus: echoic memory decays

around 400 ms.

Gradient effect long-lasting: mean POD = 240 ms.

Page 105: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Overview

1) Speech perception and Spoken Word Recognition.

2) Lexical activation is sensitive to fine-grained detail in speech.

4) Back in time: staying off the garden-path.

3) Where we’re going, we don’t need phonemes: evidence for continuous information integration.

5) Forward in time: coping with (and benefiting from) with phonological modification.

Page 106: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Progressive Expectation Formation

Can within-category detail be used to predict future acoustic/phonetic events?

Yes: Phonological regularities create systematic within-category variation.

• Predicts future events.

Page 107: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

time

Input: m… a… rr… oo… ng… g… oo… s…

maroongoose

goatduck

Word-final coronal consonants (n, t, d) assimilate the place of the following segment.

Place assimilation -> ambiguous segments —anticipate upcoming material.

Experiment 5: Anticipation

Maroong Goose Maroon Duck

Page 108: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Assimilation is subphonemic, continuous, not discrete.

Experiment 5: Anticipation

F2 Transitions in /æC/ Contexts

Pitch Period155016001650

1700175018001850

Freq

uenc

y (H

z)

F3 Transitions in /æC/ Contexts

Pitch Period2550

2600

2650

2700

2750

2800

Freq

uenc

y (H

z)coronalassimilatedlabial

Page 109: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Subject hears “select the maroon duck”“select the maroon goose”“select the maroong goose”“select the maroong duck” *

We should see faster eye-movements to “goose” after assimilated consonants.

Page 110: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Results

Looks to “goose“ as a function of time

00.10.20.30.40.50.60.70.80.9

0 200 400 600Time (ms)

Fixa

tion

Prop

ortio

n

AssimilatedNon Assimilated

Onset of “goose” + oculomotor delay

Anticipatory effect on looks to non-coronal.

Page 111: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Inhibitory effect on looks to coronal (duck, p=.024)

0

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0 200 400 600Time (ms)

Fixa

tion

Prop

ortio

n

AssimilatedNon Assimilated

Looks to “duck” as a function of time

Onset of “goose” + oculomotor delay

Page 112: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

a quick runm picks you up.

a quick runm takes you down ***

When /p/ is heard, the bilabial feature can be assumed to come from assimilation (not an underlying /m/).

When /t/ is heard, the bilabial feature is likely to be from an underlying /m/.

Page 113: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Subject hears“select the mud drinker”“select the mudg gear” “select the mudg drinker

Critical Pair

Page 114: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0

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0.35

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0.45

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Fixa

tion

Prop

ortio

n

Initial Coronal:Mud Gear

Initial Non-Coronal:Mug Gear

Onset of “gear” Avg. offset of “gear” (402 ms)

Mudg Gear is initially ambiguous with a late bias towards “Mud”.

Page 115: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0

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Time (ms)

Fixa

tion

Prop

ortio

n

Initial Coronal: Mud Drinker

Initial Non-Coronal: Mug Drinker

Onset of “drinker” Avg. offset of “drinker (408 ms)

Mudg Drinker is also ambiguous with a late bias towards “Mug” (the /g/ has to come from somewhere).

Page 116: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0

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0 200 400 600Time (ms)

Fixa

tion

Prop

ortio

n

AssimilatedNon Assimilated

Onset of “gear”

Looks to non-coronal (gear) following assimilated or non-assimilated consonant.

In the same stimuli/experiment there is also a progressive effect!

Page 117: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Assimilated(ambiguous)

Segment

SubsequentConsonant

predicts

resolves ambiguity

Phonological modification has a benefit and a cost:

• Creates predictive regularities.

• Creates ambiguity.

Gradiency:• Enables anticipation.• Retain both items until ambiguity resolution.

What is the mechanism?

Page 118: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

What is the mechanism? Assimilated(ambiguous)

Segment

SubsequentConsonant

predicts

resolves ambiguity

Assimilated(ambiguous)

Segment

SubsequentConsonant

predicts

resolves ambiguity

Lexical activation• Activation/competition processes retain partial

representations.• Lexical processes are predictive by nature.

Prediction:• Lexical competition ought to inhibit these

processes.

Page 119: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Experiment 3: Extensions

0

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200 300 400 500 600 700 800

Time (ms)

Loo

ks to

Lab

ial

Assim-LabialsLabials

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Time (ms)

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ks to

Lab

ial

AssimilatedNeutral

Compare progressive effect as a function of competition

Green/m Boat

Eight/Ape BabiesCompetition:100 ms delay in effect.

Reduction inmagnitude.

Page 120: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Sensitivity to subphonemic detail allows the system to simultaneously cope with and harness graded phonological modification.

• Increase priors on likely upcoming events.• Decrease priors on unlikely upcoming events.• Retain ambiguity until resolution occurs.

Lexical processes may play a pivotal role.

Page 121: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Conclusions

Lexical activation is exquisitely sensitiveto within-category detail.

3) Phonological (maroong goose): progressive facilitation, regressive ambiguity resolution.

This sensitivity enables integration over time at multiple levels and time-scales using normal word recognition mechanisms

2) Lexical (e.g. barricade/parakeet): regressive ambiguity resolution.

Lexicon

Cue 1 Cue 2 time

Lexicon

Cue 1 Cue 2 timeCue 1 Cue 2 time

1) Phonetic (e.g. VOT / Rate): No need for “buffer”.

ə

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Summary

Words

Phonemes

Sound

SenseThe standard paradigm

• Does not capture data.• Limits our thinking in

terms of how continuous detail might be used.

Page 123: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Summary

Words

Sound

SenseThe standard paradigm

• Does not capture data.• Limits our thinking in

terms of how continuous detail might be used.

The Alternative

• Continuous phonetic cues.• Integrated directly by

normal lexical processes.• Rich temporal integration.• Computationally simple.

Page 124: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Integration over time at multiple levels.1) Phonetic (e.g. VOT / Rate)2) Lexical (e.g. barricade/parakeet) 3) Phonological (maroong goose)

Conclusions

My lab

These are rich, general processes:• Sentential garden-paths.• V-to-V coarticulation and harmony.• Anticipatory R-coloration• Vowel Nasalization

• Prosodic domain (Keating)

• Reduction (Manuel)• Misproduction (Goldrick)• Bilingual categories (Ju)• Allophonic variation

(Samuel, McLennan)• “Parsing” (Gow, Fowler)

• V-to-V coarticulation (Beddor, Fowler, Cole).

• Assimilation (Byrd, Mitterer, Gow)

• Nasalization (Dahan, Fowler)• R-Coloration (Hillenbrand)• Vowel length/embedded words

(Crosswhite, Salverda)

Other folks

Page 125: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Take home message

Spoken language is defined by change.

But the information to cope with it is in the signal—if we look online.

Within-category acoustic variation is signal, not noise.

Page 126: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Back to the future: Where we’re going, we don’t need phonemes.

Implications of a gradient lexicon.

Bob McMurrayUniversity of Iowa

Dept. of Psychology

Page 127: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Head-Tracker Cam Monitor

IR Head-Tracker Emitters

EyetrackerComputer

SubjectComputer

Computers connected via Ethernet

Head

2 Eye cameras

Page 128: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Misperception: Additional Results

Page 129: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

10 Pairs of b/p items.• 0 – 35 ms VOT continua.

20 Filler items (lemonade, restaurant, saxophone…)

Option to click “X” (Mispronounced).

26 Subjects

1240 Trials over two days.

Page 130: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

0.000.100.200.300.400.500.600.700.800.901.00

0 5 10 15 20 25 30 35

Barricade

Res

pons

e R

ate

VoicedVoicelessNW

Identification Results

Parricade

0.000.100.200.300.400.500.600.700.800.901.00

0 5 10 15 20 25 30 35

VoicedVoicelessNW

Barakeet Parakeet

Res

pons

e R

ate

Significant target responses even at extreme.

Graded effects of VOT on correct response rate.

Page 131: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

“Garden-path” effect:Difference between looks to each target (b

vs. p) at same VOT.

VOT = 0 (/b/)

0

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0 500 1000

Time (ms)

Fixa

tions

to T

arge

t

BarricadeParakeet

VOT = 35 (/p/)

0 500 1000 1500

Time (ms)

Phonetic “Garden-Path”

Page 132: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

-0.1

-0.05

0

0.05

0.1

0.15

0 5 10 15 20 25 30 35

VOT (ms)

Gar

den-

Path

Eff

ect

( Bar

rica

de -

Para

keet

)

-0.1

-0.08

-0.06

-0.04

-0.02

0

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VOT (ms)

Gar

den-

Path

Eff

ect

( Bar

rica

de -

Para

keet

)

Target

Competitor

GP Effect:Gradient effect of VOT.

Target: p<.0001Competitor: p<.0001

Page 133: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Assimilation: Additional Results

Page 134: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Within-category detail used in recovering from assimilation: temporal integration.

• Anticipate upcoming material• Bias activations based on context

- Like barricade/parakeet: within-category detail retained to resolve ambiguity..

Phonological variation is a source of information.

Exp 3 & 4: Conclusions

Page 135: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

• Similar properties in terms of starting and sparseness.

VOT

Categories• Competitive Hebbian Learning

(Rumelhart & Zipser, 1986).• Not constrained by a particular

equation—can fill space better.

Non-parametric approach?

Page 136: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

9-step b/p continua VOT varied.

beach/peachbees/peasbeak/peak

Voicing Continua

00.10.20.30.40.50.60.70.80.91

0 5 10 15 20 25 30 35 40

VOT

% P

LongShort

N=29

Page 137: Back to the future: Where we’re going, we don’t need phonemes. Implications of a gradient lexicon

Voicing Continua

Looks to competitor

Clicked on Clicked on

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)Lo

oks t

o B

+1+2+3+4

0

0.02

0.04

0.06

0.08

0.1

0.12

0.14

0.16

0.18

0.2

0 200 400 600 800 1000 1200 1400 1600 1800 2000

Time (ms)

Loo

ks to

P

-5-4-3-2-1

t

All ProtoB .0001 .0001P .008 >.1