SlideShare a Scribd company logo
1 of 102
Download to read offline
Source separation methods for
orchestral music: timbre-informed
and score-informed strategies
Universitat Pompeu Fabra, Barcelona, Music Technology Group
Thesis supervisors: 

Dr. Jordi Janer 

Dr. Emilia Gómez
Marius Miron
Thesis defence committee:

Dr. Emmanuel Vincent

Dr. Xavier Serra

Dr. Maximo Cobos
Doctoral thesis presentation
Outline
2
ApplicationsDatasetsIntroduction Deep learningMatrix decomposition Conclusions
Outline
3
Applications
PART V
Datasets
PART II
Introduction
PART I
Deep learning
PART IV
Matrix decomposition Conclusions
PART III
Introduction
Music source separation
5
Audio sources
+
Music source
separation
Estimated audio sources
Orchestral music
6
Orchestral music source separation
7
Orchestral music source separation
8
Informed source separation
9
Audio sources
+
Music source
separation
Estimated audio sources
Musical score
Sources’ timbre
Timbre-informed source separation
10
Frequency (Hz)
STFTmagnitude
Score-informed source separation
11
Frequency(Hz)
STFT magnitude spectrogram
Time (s)
Mahler’s Symphony no. 1
Mixture
French horns
Score-informed source separation
12
Frequency(Hz)
STFT magnitude spectrogram
Time (s)
Mahler’s Symphony no. 1
Mixture
French horns
Score-informed source separation
13
Frequency(Hz)
STFT magnitude spectrogram
Time (s)
Mahler’s Symphony no. 1
Mixture
French horns
Informed source separation
14
Audio sources
+
Music source
separation
Estimated audio sources
Musical score
Isolated samples
Score
follower
Timbre
learning
Context
15
Performances as Highly Enriched aNd
Interactive Concert eXperiences
Score following
Concert notes
Conductor gestures
Visualization: chords
Motivation
16
Music source
separation
Active
music
listening
Music
Analysis
Motivation
17
Active music listening
Motivation
18
Music analysis
Challenges
19
DSD100 dataset Bach10 dataset
Challenges
20
Multi-microphone recordings: leakage between sources
Challenges
21
Large number of sources of similar timbre
Challenges
22
Less disjoint representations
Time (s)
Mahler’s Symphony no. 1
Frequency(Hz)
Challenges
23
Opportunities
24
Multi-microphone source separation
Opportunities
25
Opportunities
26
Opportunities
27
Tempo
Dynamics
Timbre
Local timing
Widmer, G., & Goebl, W. (2004). Computational models of expressive music performance:
The state of the art. JNMR, 33(3), 203-216.
Audio-to-score alignment
28
Audio-to-score
Alignment
Global
Alignment
Tempo
Dynamics
Timbre
Local timing
Audio-to-score alignment
29
Score
follower
Audio-to-score alignment
30
Alignment
Errors
Tempo
Dynamics
Timbre
Local timing
Note refinement
31
Score
follower
Niedermayer, B. (2012). Audio-to-score alignemnt: data acquisition in the context of computational musicology.
PhD Thesis, Johannes Kepler University, Linz
Opportunities
32
Part III
Tempo
Dynamics
Timbre
Local timing
Opportunities
33
Widmer, G., & Goebl, W. (2004). Computational models of expressive music performance:
The state of the art. JNMR, 33(3), 203-216.
Part IV
Tempo
Dynamics
Timbre
Local timing
Opportunities
34
Contributions
• Note refinement using image processing to fix local misalignments

• Deep learning framework for classical music source separation

• Deep learning score-informed source separation
35
Contributions
• Reproducible research (datasets, frameworks, code, results)

• Orchestral dataset with score annotations

• Cloud-based source separation framework on Repovizz.

• Deep learning repository for audio applications.
36
Datasets
PHENICX-Anechoic
38
Piece Dura
tion
Period No.
sources
Total no.
instruments
Max. instruments/
source
Mozart 3min
47s
classical 8 10 2
Beethoven 3min
11s
classical 10 20 4
Mahler 2min
12s
romantic 10 30 4
Bruckner 1min
27s
romantic 10 39 12
PHENICX-Anechoic
39
PHENICX-Anechoic
40
Roomsim generation
Other dataset
Bach10 Dataset
10 Bach chorales, 20-40 seconds each
Perfectly and automatically aligned scores
41
Duan, Z. and Pardo B.,(2011), Bach10 dataset
PHENICX recordings
42
Source separation using

matrix decomposition
Score-informed source separation
44
Logfrequency
(1/4semitoneres)
Time (s)
Trained timbre bases Time gains initialised with score
Magnitude
Note refinement
45
Score
follower
Niedermayer, B. (2012). Audio-to-score alignemnt: data acquisition in the context of computational musicology.
PhD Thesis, Johannes Kepler University, Linz
Note refinement for source separation
46
Logfrequency
(1/4semitoneres)
Time (s)
Trained timbre bases Time gains initialised with score
Magnitude
Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
Note refinement using NMF gains
47
Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
Time gains after NMF
Time (s)
Blob detection for a single note
Note refinement using NMF gains
48
Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
Time gains after NMF
Time (s)
Blob detection for a single note
Note refinement using pitch salience
49
Miron et al (2014). Audio-to-score alignment at the note level for orchestral recordings, ISMIR 2014
frequencyrelativetonote'sf0(centbins)
time (seconds)
➩
A B
time (seconds)
Note refinement using NMF gains
50Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
Evaluation with Bach10 dataset: alignment
NMF gains
score follower
NMF gains
pitch salience
pitch salience
score follower
Error threshold (seconds)
Alignmentrate
Note refinement using NMF gains
51
Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
Source separation evaluation metrics - BSS EVAL :
• Signal to Distortion Ratio (SDR)
• Signal to Interference Ratio (SIR)
• Signal to Artefacts Ratio (SAR)
• Image to Spatial Distortion Ratio (ISR)
Note refinement using NMF gains
52
Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
Time gains after NMF
Time (s)
Blob detection for a single note
Note refinement using NMF gains
53
Miron et al (2015). Improving score-informed source separation for classical music through note refinement ISMIR 2015
A
B
C
D
E
F
ground truth
misaligned
refined pitch salience
refined NMF gains
implicit
refined NMF gains
submatrix
time & frequency
Evaluation with Bach10 dataset: source separation
Multi-channel source separation
54
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Multi-channel source separation
55
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Ref1
Multi-channel source separation
56
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Ref2
PARAFAC gains estimation
57
[ ]…
Ref2
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Multi-channel source separation
58
GT
Ali
Ext
Ref1
Ref2
ground truth
refined gains
extended
refined gains multi
submatrix
aligned
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Multi-channel source separation
59
SDR(dB)
Mozart Beethoven Mahler Bruckner
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Multi-channel source separation
60
SDR(dB)
Mozart Beethoven Mahler Bruckner
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Multi-channel source separation
61
SIR(dB)
Mozart Beethoven Mahler Bruckner
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Multi-channel source separation
62
SAR(dB)
Mozart Beethoven Mahler Bruckner
Miron et al (2016). Score-informed source separation for multi-channel orchestral recordings,
Journal of Electrical Engineering and computer science 2016
Source separation using

deep learning
Deep learning source separation
64
(J,T,F)
(T,F)
Neural
network
Deep learning source separation
65
(J,T,F)
(T,F)
Neural
network
Advantages:
- faster processing
- non-linear, multi-layered
Disadvantages:
- Slower training
- Dependent on training data
Deep learning source separation
66
conv1
fshape(1,30)
stride(1,4)
conv2
fshape(20,1)
stride(1,1)
dense1
256
inverse
conv2
inverse
conv1
(1,T,F) (J,T,F)
(30,T,F)
11
(30,T,F)
2 2
dense2
Jx30xTxF
1 1
=
with
(J,T,F) (J,T,F)
(T,F)
Jx(30,T,F)
11
Jx(30,T,F)
2 2
Chandna et al,(2017). Monaural source separation using convolutional neural networks
LVA/ICA 2017
Data driven methods
67
DSD100 dataset Bach10 dataset
We do not have training data for orchestral music
Data generation method
68
Tempo
Dynamics
Timbre
Local timing
Widmer, G., & Goebl, W. (2004). Computational models of expressive music performance:
The state of the art. JNMR, 33(3), 203-216.
Data generation method
69
Tempo
Dynamics
Timbre
Local timing
Audio
Isolated
Instruments
Data generation method
70
Miron et al,(2017). Generating data to train neural networks for classical music source separation
SMC 2017
Score
Augmented
Synthesis
Audio
Augmentation
Multi-track
Renditions
Data generation method
71
Miron et al,(2017). Generating data to train neural networks for classical music source separation
SMC 2017
STFT
Data
Processing
Multi-track
Renditions
CNN
Training
Trained model
Data generation method
72
Miron et al,(2017). Generating data to train neural networks for classical music source separation
SMC 2017
STFT
Data
Processing
Multi-track
Renditions
CNN
Training
Trained model
STFT
Data
Processing
Target
piece
CNN
Separation
Separated
Sources
Score-informed separation with CNN
73
Score-based binary matrices
Miron et al,(2017). Monoaural score-informed source separation for classical music using deep convolutional neural networks.
ISMIR 2017
74
Score-based
soft masks
Score-informed separation with CNN
75
STFT magnitude spectrogram
Score-informed separation with CNN
76
Score-filtered
spectrum
Score-informed separation with CNN
Score-informed separation with CNN
77
Miron et al,(2017). Monoaural score-informed source separation for classical music using deep convolutional neural networks.
ISMIR 2017
conv1
fshape(1,30)
stride(1,4)
conv2
fshape(20,1)
stride(1,1)
dense1
256
inverse
conv2
inverse
conv1
(J,T,F)
(J,T,F)
(30,T,F)
11
(30,T,F)
2 2
=
with
(J,T,F) (J,T,F)
(T,F)
(30,T,F)
11
(30,T,F)
2 2
dense2
Experiments
CNN autoencoder NMF
78
Multi-source filter model

Score informed 

Trained on RWC
vs
Score-informed

Trained on renditions

synthesised with RWC
Duan, Z. and Pardo B.,(2011), Bach10 dataset
Experiments
PA
79
Automatically aligned score

Tolerance window around

-Onsets

-Offsets
andPerfectly aligned score
Duan, Z. and Pardo B.,(2011), Bach10 dataset
Results
80
Mean(dB)
SDR SIR SAR
Miron et al,(2017). Monoaural score-informed source separation for classical music using deep convolutional neural networks.
ISMIR 2017
Results
81
Mean(dB)
SDR SIR SAR
Miron et al,(2017). Monoaural score-informed source separation for classical music using deep convolutional neural networks.
ISMIR 2017
Results
82
Mean(dB)
SDR SIR SAR
Miron et al,(2017). Monoaural score-informed source separation for classical music using deep convolutional neural networks.
ISMIR 2017
Results
How much data we need?
83
No. of instances
SDR(dB)
Sampling:
Bootstrapping
with replacement
Fixed samples
Miron et al,(2017). Monoaural score-informed source separation for classical music using deep convolutional neural networks.
ISMIR 2017
Applications
Applications
85
Repovizz server Source separation server
Cloud-based source separation
Applications
86
https://youtu.be/4xthvs7O9q0
Applications
87
https://youtu.be/4xthvs7O9q0
Applications
88
Conclusions
Contributions
90
Contributions
91
Contributions
92
blob note before blob note after
t=0.2
t=1
t=1.4
time(analysis windows)
centbins
Contributions
93
[ ]…
Contributions
94
Tempo
Dynamics
Timbre
Local timing
Audio
Isolated
Instruments
Contributions
95
Contributions
96
Code:
https://github.com/MTG/DeepConvSep Data: .wav and .mat
DOIDOI 10.5281/zenodo.100913610.5281/zenodo.1009136
Reproducible research
Contributions
97
Media coverage
98
Media coverage
99
Future work
• Instrument recognition using deep learning

• Deepconvsep is already a starting point and a baseline

• Better databases : NSynth to generate training data

• Explore other music traditions, genres, and a more flexible context
100
Publications by the author
101
Peer-reviewed journals
• Miron, M., Carabias-Orti, J.J., Bosch, J.J., Gomez, & Janer, J. (2016). Score-Informed Source Separation
for Multichannel Orchestral Recordings. Journal of Electrical and Computer Engineering

	 

Full articles in peer-reviewed conferences
• Miron, M., Gomez, & Janer, J. (2017). Monaural score-informed source separation for classical music using
convolutional neural networks. In Proceedings of the 18th International Society for Music Information
Retrieval Conference (ISMIR)

• Miron, M., Gomez,E., & Janer, J. (2017). Generating data to train convolutional neural networks for
classical music source separation. In Sound and Music Computing Conference (SMC)

• Martel, H., Miron, M. (2017). Data augmentation for deep learning source separation of HipHop songs. In
10th International Workshop on Machine Learning and Music (MML)

• Chandna, P.,Miron, M., Janer, J., & Gomez, E. (2017). Monoaural Audio Source Separation Using Deep
Convolutional Neural Networks. In 13th International Conference on Latent Variable Analysis and Signal
Separation (LVA/ICA)

• Miron, M., Carabias-Orti, J.J., & Janer, J. (2015). Improving score-informed source separation for classical
music through note refinement. In 16th International Society for Music Information Retrieval Conference
(ISMIR)

• Miron, M., Carabias-Orti, J.J., & Janer, J. (2014). Audio-to-score alignment at the note level for orchestral
recordings. In 15th International Society for Music Information Retrieval Conference (ISMIR)
Source separation methods for
orchestral music: timbre-informed
and score-informed strategies
Universitat Pompeu Fabra, Barcelona, Music Technology Group
Thesis supervisors: 

Dr. Jordi Janer 

Dr. Emilia Gómez
Marius Miron
Thesis defence committee:

Dr. Emmanuel Vincent

Dr. Xavier Serra

Dr. Maximo Cobos
Doctoral thesis presentation

More Related Content

Similar to PhD Thesis Marius Miron - Source Separation Methods for Orchestral Music

Melody Detection in Polyphonic Audio
Melody Detection in Polyphonic AudioMelody Detection in Polyphonic Audio
Melody Detection in Polyphonic Audio
Rui Pedro Paiva
 

Similar to PhD Thesis Marius Miron - Source Separation Methods for Orchestral Music (20)

MLConf2013: Teaching Computer to Listen to Music
MLConf2013: Teaching Computer to Listen to MusicMLConf2013: Teaching Computer to Listen to Music
MLConf2013: Teaching Computer to Listen to Music
 
Ml conf2013 teaching_computers_share
Ml conf2013 teaching_computers_shareMl conf2013 teaching_computers_share
Ml conf2013 teaching_computers_share
 
Persian Classical Music Instrument Recognition (PCMIR) Using a Novel Persian ...
Persian Classical Music Instrument Recognition (PCMIR) Using a Novel Persian ...Persian Classical Music Instrument Recognition (PCMIR) Using a Novel Persian ...
Persian Classical Music Instrument Recognition (PCMIR) Using a Novel Persian ...
 
Amplitude spectrogram prediction from mel-frequency cepstrum coefficients and...
Amplitude spectrogram prediction from mel-frequency cepstrum coefficients and...Amplitude spectrogram prediction from mel-frequency cepstrum coefficients and...
Amplitude spectrogram prediction from mel-frequency cepstrum coefficients and...
 
Koyama AES Conference SFC 2016
Koyama AES Conference SFC 2016Koyama AES Conference SFC 2016
Koyama AES Conference SFC 2016
 
PosterICAD_4
PosterICAD_4PosterICAD_4
PosterICAD_4
 
Presentation mml
 Presentation mml Presentation mml
Presentation mml
 
Lauschangriff
LauschangriffLauschangriff
Lauschangriff
 
Acoustic profiling of Orthoptera for species monitoring and discovery in a ch...
Acoustic profiling of Orthoptera for species monitoring and discovery in a ch...Acoustic profiling of Orthoptera for species monitoring and discovery in a ch...
Acoustic profiling of Orthoptera for species monitoring and discovery in a ch...
 
Melody Detection in Polyphonic Audio
Melody Detection in Polyphonic AudioMelody Detection in Polyphonic Audio
Melody Detection in Polyphonic Audio
 
Human Perception and Recognition of Musical Instruments: A Review
Human Perception and Recognition of Musical Instruments: A ReviewHuman Perception and Recognition of Musical Instruments: A Review
Human Perception and Recognition of Musical Instruments: A Review
 
Depth estimation of sound images using directional clustering and activation-...
Depth estimation of sound images using directional clustering and activation-...Depth estimation of sound images using directional clustering and activation-...
Depth estimation of sound images using directional clustering and activation-...
 
DNN-based frequency component prediction for frequency-domain audio source se...
DNN-based frequency component prediction for frequency-domain audio source se...DNN-based frequency component prediction for frequency-domain audio source se...
DNN-based frequency component prediction for frequency-domain audio source se...
 
BASIC PRINCIPLES OF NETWORKED MUSIC PERFORMANCE
BASIC PRINCIPLES OF NETWORKED MUSIC PERFORMANCEBASIC PRINCIPLES OF NETWORKED MUSIC PERFORMANCE
BASIC PRINCIPLES OF NETWORKED MUSIC PERFORMANCE
 
ISMIR 2016_Melody Extraction
ISMIR 2016_Melody ExtractionISMIR 2016_Melody Extraction
ISMIR 2016_Melody Extraction
 
Transferring Singing Expressions from One Voice to Another for a Given Song
Transferring Singing Expressions from One Voice to Another for a Given SongTransferring Singing Expressions from One Voice to Another for a Given Song
Transferring Singing Expressions from One Voice to Another for a Given Song
 
Blind audio source separation based on time-frequency structure models
Blind audio source separation based on time-frequency structure modelsBlind audio source separation based on time-frequency structure models
Blind audio source separation based on time-frequency structure models
 
Computational models of symphonic music
Computational models of symphonic musicComputational models of symphonic music
Computational models of symphonic music
 
Application of Fisher Linear Discriminant Analysis to Speech/Music Classifica...
Application of Fisher Linear Discriminant Analysis to Speech/Music Classifica...Application of Fisher Linear Discriminant Analysis to Speech/Music Classifica...
Application of Fisher Linear Discriminant Analysis to Speech/Music Classifica...
 
SYLLABUS (1).pptx
SYLLABUS (1).pptxSYLLABUS (1).pptx
SYLLABUS (1).pptx
 

Recently uploaded

Hospital management system project report.pdf
Hospital management system project report.pdfHospital management system project report.pdf
Hospital management system project report.pdf
Kamal Acharya
 
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
HenryBriggs2
 
Introduction to Robotics in Mechanical Engineering.pptx
Introduction to Robotics in Mechanical Engineering.pptxIntroduction to Robotics in Mechanical Engineering.pptx
Introduction to Robotics in Mechanical Engineering.pptx
hublikarsn
 
Query optimization and processing for advanced database systems
Query optimization and processing for advanced database systemsQuery optimization and processing for advanced database systems
Query optimization and processing for advanced database systems
meharikiros2
 
Standard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayStandard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power Play
Epec Engineered Technologies
 
Kuwait City MTP kit ((+919101817206)) Buy Abortion Pills Kuwait
Kuwait City MTP kit ((+919101817206)) Buy Abortion Pills KuwaitKuwait City MTP kit ((+919101817206)) Buy Abortion Pills Kuwait
Kuwait City MTP kit ((+919101817206)) Buy Abortion Pills Kuwait
jaanualu31
 

Recently uploaded (20)

Augmented Reality (AR) with Augin Software.pptx
Augmented Reality (AR) with Augin Software.pptxAugmented Reality (AR) with Augin Software.pptx
Augmented Reality (AR) with Augin Software.pptx
 
Signal Processing and Linear System Analysis
Signal Processing and Linear System AnalysisSignal Processing and Linear System Analysis
Signal Processing and Linear System Analysis
 
Memory Interfacing of 8086 with DMA 8257
Memory Interfacing of 8086 with DMA 8257Memory Interfacing of 8086 with DMA 8257
Memory Interfacing of 8086 with DMA 8257
 
COST-EFFETIVE and Energy Efficient BUILDINGS ptx
COST-EFFETIVE  and Energy Efficient BUILDINGS ptxCOST-EFFETIVE  and Energy Efficient BUILDINGS ptx
COST-EFFETIVE and Energy Efficient BUILDINGS ptx
 
HAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKAR
HAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKARHAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKAR
HAND TOOLS USED AT ELECTRONICS WORK PRESENTED BY KOUSTAV SARKAR
 
Hospital management system project report.pdf
Hospital management system project report.pdfHospital management system project report.pdf
Hospital management system project report.pdf
 
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
scipt v1.pptxcxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx...
 
Computer Graphics Introduction To Curves
Computer Graphics Introduction To CurvesComputer Graphics Introduction To Curves
Computer Graphics Introduction To Curves
 
Employee leave management system project.
Employee leave management system project.Employee leave management system project.
Employee leave management system project.
 
NO1 Top No1 Amil Baba In Azad Kashmir, Kashmir Black Magic Specialist Expert ...
NO1 Top No1 Amil Baba In Azad Kashmir, Kashmir Black Magic Specialist Expert ...NO1 Top No1 Amil Baba In Azad Kashmir, Kashmir Black Magic Specialist Expert ...
NO1 Top No1 Amil Baba In Azad Kashmir, Kashmir Black Magic Specialist Expert ...
 
Introduction to Robotics in Mechanical Engineering.pptx
Introduction to Robotics in Mechanical Engineering.pptxIntroduction to Robotics in Mechanical Engineering.pptx
Introduction to Robotics in Mechanical Engineering.pptx
 
Introduction to Artificial Intelligence ( AI)
Introduction to Artificial Intelligence ( AI)Introduction to Artificial Intelligence ( AI)
Introduction to Artificial Intelligence ( AI)
 
Electromagnetic relays used for power system .pptx
Electromagnetic relays used for power system .pptxElectromagnetic relays used for power system .pptx
Electromagnetic relays used for power system .pptx
 
Query optimization and processing for advanced database systems
Query optimization and processing for advanced database systemsQuery optimization and processing for advanced database systems
Query optimization and processing for advanced database systems
 
PE 459 LECTURE 2- natural gas basic concepts and properties
PE 459 LECTURE 2- natural gas basic concepts and propertiesPE 459 LECTURE 2- natural gas basic concepts and properties
PE 459 LECTURE 2- natural gas basic concepts and properties
 
Standard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power PlayStandard vs Custom Battery Packs - Decoding the Power Play
Standard vs Custom Battery Packs - Decoding the Power Play
 
Theory of Time 2024 (Universal Theory for Everything)
Theory of Time 2024 (Universal Theory for Everything)Theory of Time 2024 (Universal Theory for Everything)
Theory of Time 2024 (Universal Theory for Everything)
 
Kuwait City MTP kit ((+919101817206)) Buy Abortion Pills Kuwait
Kuwait City MTP kit ((+919101817206)) Buy Abortion Pills KuwaitKuwait City MTP kit ((+919101817206)) Buy Abortion Pills Kuwait
Kuwait City MTP kit ((+919101817206)) Buy Abortion Pills Kuwait
 
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...Max. shear stress theory-Maximum Shear Stress Theory ​  Maximum Distortional ...
Max. shear stress theory-Maximum Shear Stress Theory ​ Maximum Distortional ...
 
fitting shop and tools used in fitting shop .ppt
fitting shop and tools used in fitting shop .pptfitting shop and tools used in fitting shop .ppt
fitting shop and tools used in fitting shop .ppt
 

PhD Thesis Marius Miron - Source Separation Methods for Orchestral Music