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Seung-Goo KIM (김승구)
Department of Psychology & Neuroscience
Duke University, USA
2020-07-02
MARG, SNU, South Korea
Seminar
Predicting the Neural Encoding of
Musical Structures
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[1]
3
[1] clipartbest.com [2] freepik.com
[2]
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Bridging the gap
4
[1] clipartbest.com [2] freepik.com
Cognitive computational
neuroscience
Com
putational
m
odeling
Cognitive
neuroscience
[2]
[1]
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Overview
• Classical cognitive neuroscience (behavior-brain association)
- Dissonance preference associated with brainstem response
• Model-based cognitive neuroscience (feature-brain association)
- Cortical tracking of tonal stability in naturalistic music
• General discussion
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PLEASE INTERRUPT ME ANYTIME
WHEN SOMETHING IS UNCLEAR!
AND PLEASE SAVE IN-DEPTH
QUESTIONS FOR DISCUSSION
AFTER PRESENTATION :)
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Kim. (2017). Thesis.
Human auditory system
Apparatus Brainstem + thalamus
PT: Planum temporale, HG: Heschl’s gyrus
PP: Planum polare, LSTG: lateral superior temporal gyrus
STS: superior temporal sulcus
Cortex
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In-vivo neuroimaging methods
• Magneto/electro-encephalogram (M/EEG)
- Source: neuronal currents 

spread by volume conduction and filtered through
skull and scalp
- Sampling resolution: 

good temporal (≤ 1 msec), poor spatial (≥ 2 cm)
• Functional magnetic resonance imaging (fMRI)
- Source: blood deoxygenation level

slowly (~6 sec to the peak in humans) coupled with
neural activities [2]

- Sampling resolution (3-T): 

poor temporal (≥ 1 sec), good spatial (≤ 2 mm)

8
[1] https://www.humanconnectome.org/study/hcp-young-adult/project-protocol/meg-eeg 

[2] Lee et al. (2010). Nature.
[2]
[1]
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Kim S-G, Lepsien J, Fritz TH, Mildner T, & Mueller K. (2017). Scientific Reports.
Dissonance preference associated
with brainstem BOLD response
Task-based functional MRI
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What is sensory dissonance?
• Lack of overlaps of harmonics
• Beating (wave interference)

Small differences in frequencies
creates an amplitude modulation 

(e.g., fbeat = f1 - f2)
10
(cc) Adjwilley.
https://en.wikipedia.org/wiki/Beat_(acoustics)
(cc) Hyacinth.
https://en.wikipedia.org/wiki/Inharmonicity
Harmonic spectrum Inharmonic spectrum
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Dissonance disfavor & IC
• Neural correlates of subjective
preference for consonant over dissonant
harmony in inferior colliculus (IC)
- Gray matter density (GDM) estimated
from T1-weighted MRI [1]

Positive correlation with consonance
preference
- Neural consonance index in
frequency-following response (FFR) [2]

Positive correlation with consonance
preference
11
[1] Fritz et al. (2013). E J Neurosci. [2] Bones et al. (2014). [2]
[1]
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Motivation
• Given evidence, IC seems to play an important role in
encoding sensory dissonance & individual preference.
- However, the source of FFR may not be only IC [1].
- Also, it has not been shown in naturalistic music.
• Here, we used naturalistic stimuli and fMRI (data from
a previous publication [2]) to confirm that.
12
[1] Coffey et al. (2016). Nat Comm. [2] Mueller et al. (2015). NeuroImage.
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Stimulus
• Twenty 30-s musical excerpts
(classical, fork, swing, tango) in
their original forms and dissonant
counterparts

Mixing with ones transposed by major
2nd up & augmented 4th down
13
SOUND DEMO: J. S. Bach Prelude No.3 in C# major (BWV 848)
Kim et al. (2016). Sci Rep.
Original
(“consonant”)
Manipulated
(“dissonant”)
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Participants & protocol
• Participants: twenty-three healthy participants (non-musicians;
13 females; mean age: 25.9 ± 2.9)
• Functional MRI: 2.5 x 2.5 x 4 mm3, one 3-D image/sec,

over the ventral part (auditory + language areas) of the brain
• Protocol: listening to an excerpt (30 sec) + subjective rating of
unpleasantness (6 sec; 4-point) in the scanner (48 min)
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fMRI data (4-D images)
15
Time
...
fMRI signal at one voxel
Modeled response to sound stimulation
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fMRI preprocessing in nutshell
16
Kim. (2017). Thesis.
Time 1 Time 2 Time 3
Functional images (4D) Structural image (3D)
...
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fMRI preprocessing in a nutshell*
17
Kim. (2017). Thesis.
Func Struct
...Subj 1
...Subj 2
...Subj 3
Subject (native) space Template space
Template
(MNI)
Linear

(6-DOF)
Nonlinear
(DCT)
Norm. Func
...
...
...
L+NL
* Yes, I’m skipping spatiotemporal realignment, temporal filtering, noise modeling, etc.
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• First-level: does fMRI time-series correlate with the model?
Voxel-based* GLMs with autoregressive noise
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GLM
GLM
GLM
:
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Cons Diss DissCons
• Second-level: is that effect systematic across subjects?
- Cons. vs. diss
- Correlation w/ ΔRating ˆb(c) ˆb(d) = 0 + {u(c) u(d)}. 1 + ✏<latexit sha1_base64="zMF3tHpWX3TbMM3Jv8GFRRu4K4Q=">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</latexit><latexit sha1_base64="zMF3tHpWX3TbMM3Jv8GFRRu4K4Q=">AAADd3icbVLLjtMwFHVTHkN5dWAHCyxKS6KZVgkaadggDbCBXUF0pqIOleM4jTWJE9nOSJXlT+Dn2PEfbNjh9M10LEU6vveccx9xVGZMKt//3XCat27fuXtwr3X/wcNHj9uHT85lUQlCR6TICjGOsKQZ43SkmMrouBQU51FGL6LLj3X+4ooKyQr+Tc1LGuZ4xlnCCFY2ND1s/EQpVlqjHKs0SmBkjEu8/n4w9uA7iCKq8NSHR1CjRe2JmEWhDo79Y98gXdXSylKRGSypgbFcREvJsoK3uhvH8VQPh5+NqT0zmqhJbT1jXGMh8NxoQoiB6AqLMmWwB7c6ROJCQZvsbdKIMEGgu+XANcmzpXm88oRIsFmqwp0uRF1/R2g5WCqYekuDnfntFO+/uoF38zQLn/VlDvsb/B1pd4Nfb5D3Q/cDsyWtlchM2x1/4C8O3AfBCnTA6gyn7V8oLkiVU65IhqWcBH6pQjuyYiSjpoUqSUtMLvGMTizkOKcy1It/Z2DXRmKYFMJ+3C6sju4qNM6lnOd2/G7doryeq4M35SaVSt6GmvGyUpSTZaGkyqAqYP0IYcwEJSqbW4CJYLZXSFIsMFH2qbbsEoLrI++D8zeDwOIvJ52zD6t1HIDn4CVwQQBOwRn4BIZgBEjjj/PM6TivnL/NF81e011SncZK8xT8d5rBP3zBFL8=</latexit><latexit sha1_base64="zMF3tHpWX3TbMM3Jv8GFRRu4K4Q=">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</latexit><latexit sha1_base64="zMF3tHpWX3TbMM3Jv8GFRRu4K4Q=">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</latexit>
ˆb(c) ˆb(d) = 0 + ✏<latexit sha1_base64="oDvtLy3w079Ih2ZBiY6GwHQNRYg=">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</latexit><latexit sha1_base64="oDvtLy3w079Ih2ZBiY6GwHQNRYg=">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</latexit><latexit sha1_base64="oDvtLy3w079Ih2ZBiY6GwHQNRYg=">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</latexit><latexit sha1_base64="oDvtLy3w079Ih2ZBiY6GwHQNRYg=">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</latexit>
* Family-wise error rate is controlled by a topological approach based on Gaussian Random Field Theory
/ 45
• Condition-dependent functional connectivity
- Psychophysiological interaction: seed vs. whole-brain
• Cross-correlation analysis between specific two regions
Functional connectivity analysis
19
r = (XP P I ⇤ h) · b + AR(1) + ✏<latexit sha1_base64="PtogYxIMn4VvnJIBlc9nS9IKSpI=">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</latexit><latexit sha1_base64="PtogYxIMn4VvnJIBlc9nS9IKSpI=">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</latexit><latexit sha1_base64="PtogYxIMn4VvnJIBlc9nS9IKSpI=">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</latexit><latexit sha1_base64="PtogYxIMn4VvnJIBlc9nS9IKSpI=">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</latexit>
XP P I =
⇥
' X · c ' (X · c)
⇤
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• All participants rated dissonant music
unpleasant compared to consonant
music.
• Rating difference

Individual disfavor against dissonance
20
Kim et al. (2016). Sci Rep.
Behavioral results
/ 45
Consonant vs. dissonant harmony
21
• Decreased BOLD signal in superior temporal
cortices, ventromedial frontal cortex, thalamus, and
inferior colliculus [IC] for dissonant music
Kim et al. (2016). Sci Rep.
/ 45
Correlates of dissonance preference
• Negative correlation between differences in BOLD (cons. - diss.) in the IC
(inferior colliculus in the brainstem) and differences in rating (cons. - diss.)
• The more one rated dissonant music unpleasant, the more one’s IC was
deactivated by dissonance.
22
Kim et al. (2016). Sci Rep.
/ 45
Functional connectivity of IC
modulated by dissonance
• Decreased functional connectivity between the IC &
the left anterior STG for dissonant music
23
Kim et al. (2016). Sci Rep.
/ 45
Cross-correlation correlates with
dissonance preference
• Cross-correlation changes in positive lags (aSTG before IC; corticofugal)
correlated with rating differences
24
Kim et al. (2016). Sci Rep.
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Decrease of BOLD activation & functional
connectivity in IC by dissonance harmony
• Corticofugal connections that
modifies IC neurons tuning
curves [1]

e.g., disengagement of adverse
sounds
25
[1] Suga. (2008). J Comp Physiol.
[1]
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Correlation with subjective rating of
unpleasantness
• Possible contribution of subcortical sensitivity to
sensory information to aesthetical judgement [1,2]
- Strong disfavor against dissonant harmony due to vivid
representation of sensory dissonance in the IC
- Possibly, influencing the preference of particular musical style
in part
26
[1] Koelsch et al. (2006). Hum Brain Map. [2] Sammler et al. (2007). PsychPhysiol.
/ 45
Interim summary
• Sensory dissonance deactivated auditory brain
regions.
• The degree of deactivation in the brainstem was
correlated with the degree of individual disfavor
against dissonance.
• Such lower-level encoding might be one of the
foundations of musical preference.
27
/ 45
Overview
• Classical cognitive neuroscience (behavior-neural association)
- Dissonance preference associated with brainstem response
• Model-based cognitive neuroscience (feature-neural
association)
- Cortical tracking of tonal stability in naturalistic music
• General discussion
28
/ 45
Cortical tracking of tonal
stability in naturalistic music 

Encoding analysis on EEG
29
Leahy J*., Kim S-G*, Wan J., Overath T. (in prep).
/ 45
Motivation
• Epoch-based experiments to isolate and disambiguate related
processes
- How the individual processes interact with each other remains
unknown.
- Often manipulations are disruptive (analogous to lesions) and
unrealistic.
• On the other hand, all responses are intermixed in naturalistic
experiments. How can we decompose them?
- Temporal response function (TRF) in natural speech analysis.
30
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Cortical encoding of melodic
expectation in monophonic music in EEG
31
[1] Di Liberto et al. (2020). eLife. [2] Pearce. (2005). Thesis.
• Melody expectation

surprisal and entropy based on musical corpus [2]
• Better predicted EEG signal when adding musical features
AcousticsExpectation
[1]
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Temporal response function (TRF)
• Brain (or whatever
between stimuli and
neural measures) as
a linear filter
32
Crosse et al. (2016). Front Hum Neurosci.
/ 45
Ridge regression
• Why do you solve something else?
- to solve the unsolvable (λI makes
covariance matrix invertable)

- to prevent overfitting (less sensitive to
noise in training sets)

• How do you determine λ?
- Cross-validation (commonly leave-one-
trial-out)
33
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OLS
Ridge
Crosse et al. (2016). Front Hum Neurosci.
Example:
/ 45
Data acquisition
• Stimulus: same 20 musical excerpts from Kim et al. 2017
• Subjects: three amateur musicians (1 female) and COVID19
happened...
• EEG recording: 64-ch BrainVision actiChamp (ref: right mastoid;
sampled at 1 kHz)
• Sound presentation: Etymotic Research ER-2 (air-tube earbuds)
• Task: emotional ratings (20 excepts x 4 repetitions)
34
/ 45
Measure of tonal structures
• Krumhansl’s “tonal hierarchy” [1]
• Key strength measure in MIR
Toolbox [2, 3]
35
[1] Krumhansl. (1990). Mus Percept. [2] Gómez. (2006) INFORMS J Com. [3] Lartillot et al. (2008). Data Analysis, Machine Learning and Applications.
/ 45
Interim summary
• An entropy model detected the neural encoding of
melodic surprisal via ridge regression.
• A measure of ‘tonal stability’ is proposed to detect
the cortical encoding of tonal hierarchy in listeners
36
/ 45
Overview
• Classical cognitive neuroscience (behavior-neural association)
- Dissonance preference associated with brainstem response
• Model-based cognitive neuroscience (feature-neural
association)
- Cortical tracking of tonal stability in naturalistic music
• General discussion
37
/ 45
Overall summary
• In-vivo human auditory neuroimaging
studies revealed neural correlates of the
perception of musical elements 

Sensory dissonance and inferior colliculus
• Computational modeling of musical
structures enables studies on the
appreciation of natural music

Melodic surprisal, tonal stability, ...
38
/ 45
...and beyond
39
[1] clipartbest.com [2] freepik.com
Cognitive computational
neuroscience
Com
putational
m
odeling
Cognitive
neuroscience
[2]
[1][2]
• Machine composition
to evoke specific
brain-states?
• Individual/population-
tuned models?
/ 45
Acknowledgement
40
Prof. Tobias Overath

@ Duke University
Prof. Tom H. Fritz

@ Max Planck Inst.

for CBS, Leipzig
Prof. Karsten Müller

@ Max Planck Inst.

for CBS, Leipzig
Jasmine Leahy

(B.Sc. student)

@ Duke University
/ 45
Thank you for attention!
Now time for discussion! :D
seunggoo.kim@duke.edu
41

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Predicting the neural encoding of musical structure

  • 1. / 451 Seung-Goo KIM (김승구) Department of Psychology & Neuroscience Duke University, USA 2020-07-02 MARG, SNU, South Korea Seminar Predicting the Neural Encoding of Musical Structures
  • 3. / 45 [1] 3 [1] clipartbest.com [2] freepik.com [2]
  • 4. / 45 Bridging the gap 4 [1] clipartbest.com [2] freepik.com Cognitive computational neuroscience Com putational m odeling Cognitive neuroscience [2] [1]
  • 5. / 45 Overview • Classical cognitive neuroscience (behavior-brain association) - Dissonance preference associated with brainstem response • Model-based cognitive neuroscience (feature-brain association) - Cortical tracking of tonal stability in naturalistic music • General discussion 5
  • 6. / 45 PLEASE INTERRUPT ME ANYTIME WHEN SOMETHING IS UNCLEAR! AND PLEASE SAVE IN-DEPTH QUESTIONS FOR DISCUSSION AFTER PRESENTATION :) 6
  • 7. / 457 Kim. (2017). Thesis. Human auditory system Apparatus Brainstem + thalamus PT: Planum temporale, HG: Heschl’s gyrus PP: Planum polare, LSTG: lateral superior temporal gyrus STS: superior temporal sulcus Cortex
  • 8. / 45 In-vivo neuroimaging methods • Magneto/electro-encephalogram (M/EEG) - Source: neuronal currents 
 spread by volume conduction and filtered through skull and scalp - Sampling resolution: 
 good temporal (≤ 1 msec), poor spatial (≥ 2 cm) • Functional magnetic resonance imaging (fMRI) - Source: blood deoxygenation level
 slowly (~6 sec to the peak in humans) coupled with neural activities [2] - Sampling resolution (3-T): 
 poor temporal (≥ 1 sec), good spatial (≤ 2 mm)
 8 [1] https://www.humanconnectome.org/study/hcp-young-adult/project-protocol/meg-eeg 
 [2] Lee et al. (2010). Nature. [2] [1]
  • 9. / 45 Kim S-G, Lepsien J, Fritz TH, Mildner T, & Mueller K. (2017). Scientific Reports. Dissonance preference associated with brainstem BOLD response Task-based functional MRI 9
  • 10. / 45 What is sensory dissonance? • Lack of overlaps of harmonics • Beating (wave interference)
 Small differences in frequencies creates an amplitude modulation 
 (e.g., fbeat = f1 - f2) 10 (cc) Adjwilley. https://en.wikipedia.org/wiki/Beat_(acoustics) (cc) Hyacinth. https://en.wikipedia.org/wiki/Inharmonicity Harmonic spectrum Inharmonic spectrum
  • 11. / 45 Dissonance disfavor & IC • Neural correlates of subjective preference for consonant over dissonant harmony in inferior colliculus (IC) - Gray matter density (GDM) estimated from T1-weighted MRI [1]
 Positive correlation with consonance preference - Neural consonance index in frequency-following response (FFR) [2]
 Positive correlation with consonance preference 11 [1] Fritz et al. (2013). E J Neurosci. [2] Bones et al. (2014). [2] [1]
  • 12. / 45 Motivation • Given evidence, IC seems to play an important role in encoding sensory dissonance & individual preference. - However, the source of FFR may not be only IC [1]. - Also, it has not been shown in naturalistic music. • Here, we used naturalistic stimuli and fMRI (data from a previous publication [2]) to confirm that. 12 [1] Coffey et al. (2016). Nat Comm. [2] Mueller et al. (2015). NeuroImage.
  • 13. / 45 Stimulus • Twenty 30-s musical excerpts (classical, fork, swing, tango) in their original forms and dissonant counterparts
 Mixing with ones transposed by major 2nd up & augmented 4th down 13 SOUND DEMO: J. S. Bach Prelude No.3 in C# major (BWV 848) Kim et al. (2016). Sci Rep. Original (“consonant”) Manipulated (“dissonant”)
  • 14. / 45 Participants & protocol • Participants: twenty-three healthy participants (non-musicians; 13 females; mean age: 25.9 ± 2.9) • Functional MRI: 2.5 x 2.5 x 4 mm3, one 3-D image/sec,
 over the ventral part (auditory + language areas) of the brain • Protocol: listening to an excerpt (30 sec) + subjective rating of unpleasantness (6 sec; 4-point) in the scanner (48 min) 14
  • 15. / 45 fMRI data (4-D images) 15 Time ... fMRI signal at one voxel Modeled response to sound stimulation
  • 16. / 45 fMRI preprocessing in nutshell 16 Kim. (2017). Thesis. Time 1 Time 2 Time 3 Functional images (4D) Structural image (3D) ...
  • 17. / 45 fMRI preprocessing in a nutshell* 17 Kim. (2017). Thesis. Func Struct ...Subj 1 ...Subj 2 ...Subj 3 Subject (native) space Template space Template (MNI) Linear
 (6-DOF) Nonlinear (DCT) Norm. Func ... ... ... L+NL * Yes, I’m skipping spatiotemporal realignment, temporal filtering, noise modeling, etc.
  • 18. / 45 • First-level: does fMRI time-series correlate with the model? Voxel-based* GLMs with autoregressive noise 18 GLM GLM GLM : y(v) = (X ⇤ h).b + AR(1) + ✏<latexit 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  • 19. / 45 • Condition-dependent functional connectivity - Psychophysiological interaction: seed vs. whole-brain • Cross-correlation analysis between specific two regions Functional connectivity analysis 19 r = (XP P I ⇤ h) · b + AR(1) + ✏<latexit sha1_base64="PtogYxIMn4VvnJIBlc9nS9IKSpI=">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</latexit><latexit 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  • 20. / 45 • All participants rated dissonant music unpleasant compared to consonant music. • Rating difference
 Individual disfavor against dissonance 20 Kim et al. (2016). Sci Rep. Behavioral results
  • 21. / 45 Consonant vs. dissonant harmony 21 • Decreased BOLD signal in superior temporal cortices, ventromedial frontal cortex, thalamus, and inferior colliculus [IC] for dissonant music Kim et al. (2016). Sci Rep.
  • 22. / 45 Correlates of dissonance preference • Negative correlation between differences in BOLD (cons. - diss.) in the IC (inferior colliculus in the brainstem) and differences in rating (cons. - diss.) • The more one rated dissonant music unpleasant, the more one’s IC was deactivated by dissonance. 22 Kim et al. (2016). Sci Rep.
  • 23. / 45 Functional connectivity of IC modulated by dissonance • Decreased functional connectivity between the IC & the left anterior STG for dissonant music 23 Kim et al. (2016). Sci Rep.
  • 24. / 45 Cross-correlation correlates with dissonance preference • Cross-correlation changes in positive lags (aSTG before IC; corticofugal) correlated with rating differences 24 Kim et al. (2016). Sci Rep.
  • 25. / 45 Decrease of BOLD activation & functional connectivity in IC by dissonance harmony • Corticofugal connections that modifies IC neurons tuning curves [1]
 e.g., disengagement of adverse sounds 25 [1] Suga. (2008). J Comp Physiol. [1]
  • 26. / 45 Correlation with subjective rating of unpleasantness • Possible contribution of subcortical sensitivity to sensory information to aesthetical judgement [1,2] - Strong disfavor against dissonant harmony due to vivid representation of sensory dissonance in the IC - Possibly, influencing the preference of particular musical style in part 26 [1] Koelsch et al. (2006). Hum Brain Map. [2] Sammler et al. (2007). PsychPhysiol.
  • 27. / 45 Interim summary • Sensory dissonance deactivated auditory brain regions. • The degree of deactivation in the brainstem was correlated with the degree of individual disfavor against dissonance. • Such lower-level encoding might be one of the foundations of musical preference. 27
  • 28. / 45 Overview • Classical cognitive neuroscience (behavior-neural association) - Dissonance preference associated with brainstem response • Model-based cognitive neuroscience (feature-neural association) - Cortical tracking of tonal stability in naturalistic music • General discussion 28
  • 29. / 45 Cortical tracking of tonal stability in naturalistic music 
 Encoding analysis on EEG 29 Leahy J*., Kim S-G*, Wan J., Overath T. (in prep).
  • 30. / 45 Motivation • Epoch-based experiments to isolate and disambiguate related processes - How the individual processes interact with each other remains unknown. - Often manipulations are disruptive (analogous to lesions) and unrealistic. • On the other hand, all responses are intermixed in naturalistic experiments. How can we decompose them? - Temporal response function (TRF) in natural speech analysis. 30
  • 31. / 45 Cortical encoding of melodic expectation in monophonic music in EEG 31 [1] Di Liberto et al. (2020). eLife. [2] Pearce. (2005). Thesis. • Melody expectation
 surprisal and entropy based on musical corpus [2] • Better predicted EEG signal when adding musical features AcousticsExpectation [1]
  • 32. / 45 Temporal response function (TRF) • Brain (or whatever between stimuli and neural measures) as a linear filter 32 Crosse et al. (2016). Front Hum Neurosci.
  • 33. / 45 Ridge regression • Why do you solve something else? - to solve the unsolvable (λI makes covariance matrix invertable) - to prevent overfitting (less sensitive to noise in training sets) • How do you determine λ? - Cross-validation (commonly leave-one- trial-out) 33 s(t)<latexit 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(2016). Front Hum Neurosci. Example:
  • 34. / 45 Data acquisition • Stimulus: same 20 musical excerpts from Kim et al. 2017 • Subjects: three amateur musicians (1 female) and COVID19 happened... • EEG recording: 64-ch BrainVision actiChamp (ref: right mastoid; sampled at 1 kHz) • Sound presentation: Etymotic Research ER-2 (air-tube earbuds) • Task: emotional ratings (20 excepts x 4 repetitions) 34
  • 35. / 45 Measure of tonal structures • Krumhansl’s “tonal hierarchy” [1] • Key strength measure in MIR Toolbox [2, 3] 35 [1] Krumhansl. (1990). Mus Percept. [2] Gómez. (2006) INFORMS J Com. [3] Lartillot et al. (2008). Data Analysis, Machine Learning and Applications.
  • 36. / 45 Interim summary • An entropy model detected the neural encoding of melodic surprisal via ridge regression. • A measure of ‘tonal stability’ is proposed to detect the cortical encoding of tonal hierarchy in listeners 36
  • 37. / 45 Overview • Classical cognitive neuroscience (behavior-neural association) - Dissonance preference associated with brainstem response • Model-based cognitive neuroscience (feature-neural association) - Cortical tracking of tonal stability in naturalistic music • General discussion 37
  • 38. / 45 Overall summary • In-vivo human auditory neuroimaging studies revealed neural correlates of the perception of musical elements 
 Sensory dissonance and inferior colliculus • Computational modeling of musical structures enables studies on the appreciation of natural music
 Melodic surprisal, tonal stability, ... 38
  • 39. / 45 ...and beyond 39 [1] clipartbest.com [2] freepik.com Cognitive computational neuroscience Com putational m odeling Cognitive neuroscience [2] [1][2] • Machine composition to evoke specific brain-states? • Individual/population- tuned models?
  • 40. / 45 Acknowledgement 40 Prof. Tobias Overath
 @ Duke University Prof. Tom H. Fritz
 @ Max Planck Inst.
 for CBS, Leipzig Prof. Karsten Müller
 @ Max Planck Inst.
 for CBS, Leipzig Jasmine Leahy
 (B.Sc. student)
 @ Duke University
  • 41. / 45 Thank you for attention! Now time for discussion! :D seunggoo.kim@duke.edu 41