Analysis-by-synthesis for source separation and speech recognition

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Analysis-by-synthesis for source separation and speech recognition Michael I Mandel mim@mr-pc.org Brooklyn College (CUNY) Joint work with Young Suk Cho and Arun Narayanan (Ohio State) Columbia Neural Network Seminar Series September 8, 2015 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 1 / 73

Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 2 / 73

Motivation: need for noise robustness Outline 1 Motivation: need for noise robustness Need for better mobile voice quality Need for noise robust automatic speech recognition (ASR) Main challenge 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 3 / 73

Motivation: need for noise robustness Need for better mobile voice quality Outline 1 Motivation: need for noise robustness Need for better mobile voice quality Need for noise robust automatic speech recognition (ASR) Main challenge 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 4 / 73

Motivation: need for noise robustness Need for better mobile voice quality Need for better mobile voice quality There are now more mobile devices than humans on earth 1 But recording conditions for these devices leave much to be desired Can we recover high quality speech from noisy & degraded recordings? 1 http://www.independent.co.uk/life-style/gadgets-and-tech/news/ there-are-officially-more-mobile-devices-than-people-in-the-world-9780518.html Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 5 / 73

Motivation: need for noise robustness Need for better mobile voice quality Why mobile voice quality stinks 2 2 Je Hecht. Why mobile voice quality still stinks and how to fix it. IEEE Spectrum, September2014 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 6 / 73

Motivation: need for noise robustness Need for better mobile voice quality Why mobile voice quality stinks 2 2 Je Hecht. Why mobile voice quality still stinks and how to fix it. IEEE Spectrum, September2014 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 6 / 73

Motivation: need for noise robustness Need for noise robust automatic speech recognition (ASR) Outline 1 Motivation: need for noise robustness Need for better mobile voice quality Need for noise robust automatic speech recognition (ASR) Main challenge 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 7 / 73

Motivation: need for noise robustness Need for noise robust automatic speech recognition (ASR) Conversational mobile software agents Source: Tom Vanleenhove Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 8 / 73

Motivation: need for noise robustness Need for noise robust automatic speech recognition (ASR) Conversational mobile software agents need to work in Source: Flickr user rickihuang Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 9 / 73

Motivation: need for noise robustness Need for noise robust automatic speech recognition (ASR) Conversational mobile software agents need to work in Source: Flickr user retorta net Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 9 / 73

Motivation: need for noise robustness Need for noise robust automatic speech recognition (ASR) Conversational mobile software agents need to work in Source: Flickr user Brian Indrelunas Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 9 / 73

Motivation: need for noise robustness Need for noise robust automatic speech recognition (ASR) But automatic speech recognition doesn t work there 3 3 Amit Juneja. A comparison of automatic and human speech recognition in null grammar. The Journal of the Acoustical Society of America, 131(3):EL256 EL261,February2012 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 10 / 73

Motivation: need for noise robustness Main challenge Outline 1 Motivation: need for noise robustness Need for better mobile voice quality Need for noise robust automatic speech recognition (ASR) Main challenge 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 11 / 73

Motivation: need for noise robustness Main challenge Main challenge Speech is a rich signal, it requires rich models Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 12 / 73

Motivation: need for noise robustness Main challenge Main challenge Speech is a rich signal, it requires rich models Synthesis models are rich enough to represent almost all speech Non-parametric synthesis models for high quality DNN as non-linear distance function Parametric synthesis models for e cient representation e cient gradient-based optimization of input (not model) Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 12 / 73

Non-parametric synthesis for speech enhancement Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 13 / 73

Non-parametric synthesis for speech enhancement Overview Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 14 / 73

Non-parametric synthesis for speech enhancement Overview Concatenative resynthesis for speech enhancement 4,5 Standard approaches try to modify noisy recordings We instead resynthesize a clean version of the same speech Should produce infinite suppression and high speech quality 4 Michael I Mandel, Young-Suk Cho, and Yuxuan Wang. Learning a concatenative resynthesis system for noise suppression. In Proc. IEEE GlobalSIP, 2014 5 Michael I Mandel and Young Suk Cho. Audio super-resolution using concatenative resynthesis. In Proc. IEEE WASPAA, 2015. To appear Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 15 / 73

Non-parametric synthesis for speech enhancement Overview Motivating example Your phone records your voice in quiet, close-talk conditions Uses those recordings to replace your voice in noisy, far-talk conditions Resynthesizes your speech from previous high-quality recordings Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 16 / 73

Non-parametric synthesis for speech enhancement Overview Concatenative resynthesis Use a large dictionary of 200 ms chunks of audio Learn DNN-based a nity between dictionary & mixture chunks Perform concatenative synthesis of signal from dictionary General robust supervised nonlinear signal mapping framework Task Map from To Noise suppression Noisy Clean Audio super-resolution Reverberated, compressed Clean Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 17 / 73

Non-parametric synthesis for speech enhancement Deep neural network as nonlinear distance function Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 18 / 73

Non-parametric synthesis for speech enhancement Deep neural network as nonlinear distance function Deep neural network as nonlinear distance function 6 Generative Discriminative Dictionary-based Data-intensive training Moderate training data Data-e cient training Hard to adapt Hard to adapt Very adaptable 6 Michael I Mandel, Young-Suk Cho, and Yuxuan Wang. Learning a concatenative resynthesis system for noise suppression. In Proc. IEEE GlobalSIP, 2014 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 19 / 73

Non-parametric synthesis for speech enhancement Deep neural network as nonlinear distance function Train DNN on correctly and incorrectly paired chunks Noise suppression Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 20 / 73

Non-parametric synthesis for speech enhancement Deep neural network as nonlinear distance function Train DNN on correctly and incorrectly paired chunks Audio super-resolution Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 21 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 22 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Find optimal sequence of clean chunks x = {x t } T t=0 input sequence of noisy chunks ẑ = {z t } T t=0 best sequence of corresponding dictionary chunks Y ẑ = argmax z t Y = argmax z i p(z t = j x t ) p(z t = j z t 1 = i) g(z j, x i ) T ij Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 23 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Find optimal sequence of clean chunks x = {x t } T t=0 input sequence of noisy chunks ẑ = {z t } T t=0 best sequence of corresponding dictionary chunks A nity between clean and noisy chunks Y ẑ = argmax z t Y = argmax z i p(z t = j x t ) p(z t = j z t 1 = i) g(z j, x i ) T ij Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 23 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Find optimal sequence of clean chunks x = {x t } T t=0 input sequence of noisy chunks ẑ = {z t } T t=0 best sequence of corresponding dictionary chunks A nity between clean and noisy chunks Transition a nity between clean chunks Y ẑ = argmax z t Y = argmax z i p(z t = j x t ) p(z t = j z t 1 = i) g(z j, x i ) T ij Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 23 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Compare all pairs of noisy and clean chunks Observed mixture D1 D2 D3... Clean dictionary M1 M1 M1... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 24 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Compare all pairs of noisy and clean chunks Observed mixture D1 D2 D3... Clean dictionary M2 M2 M2... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 24 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Compare all pairs of noisy and clean chunks Observed mixture D1 D2 D3... Clean dictionary M3 M3 M3... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 24 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Compare all pairs of noisy and clean chunks Observed mixture D1 D2 D3... Clean dictionary M4 M4 M4... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 24 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Compare all pairs of noisy and clean chunks Observed mixture D1 D2 D3... Clean dictionary M5 M5 M5... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 24 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Compare all pairs of noisy and clean chunks Observed mixture D1 D2 D3... Clean dictionary MN MN MN... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 24 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Standard Viterbi algorithm for to find optimal sequence Observed mixture D1 D2 D3... Clean dictionary MN MN MN... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 25 / 73

Non-parametric synthesis for speech enhancement Using this DNN for speech enhancement Standard Viterbi algorithm for to find optimal sequence Observed mixture D1 D2 D3... Clean dictionary MN MN MN... Similarity DNN Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 25 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 26 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Original clean speech Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 27 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Noisy speech Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 28 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Traditional mask-based separation Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 29 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Concatenative resynthesis output Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 30 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Original clean speech Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 31 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Subjective quality is high Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 32 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Subjective quality is high Clean Concat Speech Noise Sup Overall IRM NN Noisy 20 40 60 80 100 Quality (higher better) Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 32 / 73

Non-parametric synthesis for speech enhancement Noise suppression experiments Subjective intelligibility is ok Clean Concat IRM NN Noisy Keywords All words 60 70 80 90 100 Words correctly identified (%) Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 33 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 34 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Original clean speech Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 35 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Reverberated, compressed, 20% packet loss Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 36 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments NMF-based bandwidth expansion output Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 37 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Concatenative resynthesis output Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 38 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Original clean speech Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 39 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Subjective quality is high Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 40 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Subjective quality is high 100 90 80 70 MUSHRA Score 60 50 40 30 20 10 0 Clean Clean (hid) Rev Rev 8kHz RevOpusL20 RevOpusL20 (hid) Input NMF Concat CleanAmr RevAmr RevOpusL20 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 40 / 73

Non-parametric synthesis for speech enhancement Audio super-resolution experiments Subjective intelligibility is good 100 95 Correct words (%) 90 85 80 75 70 Clean Rev Rev 8kHz RevOpusL20 Input NMF Concat CleanAmr RevAmr RevOpusL20 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 41 / 73

Non-parametric synthesis for speech enhancement Summary Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement Overview Deep neural network as nonlinear distance function Using this DNN for speech enhancement Noise suppression experiments Audio super-resolution experiments Summary 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 42 / 73

Non-parametric synthesis for speech enhancement Summary Summary Concatenative synthesizer, DNN as noise-robust selection function Instead of modifying noisy speech, replace it completely eliminates noise, except for synthesis errors produces high quality, natural-sounding speech General robust supervised nonlinear signal mapping framework Data-e cient to train and adaptable to new talkers Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 43 / 73

Non-parametric synthesis for speech enhancement Summary Future applications Generalize to audio-visual speech recognition Label dictionary elements ahead of time to enable noise-robust non-parametric speech recognition noise-robust pitch tracking noise-robust speaker identification Incorporate language model into transition cost Develop e cient search mechanisms for large-vocabulary dictionaries Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 44 / 73

Parametric synthesis for speech recognition Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition Overview Algorithm Results Summary 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 45 / 73

Parametric synthesis for speech recognition Overview Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition Overview Algorithm Results Summary 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 46 / 73

Parametric synthesis for speech recognition Overview Mask-based source separation: Noisy Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 47 / 73

Parametric synthesis for speech recognition Overview Mask-based source separation: Masked Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 48 / 73

Parametric synthesis for speech recognition Overview Disrupts speech features: Noisy MFCCs He said such products would be marketed by other companies with experience him at this month. Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 49 / 73

Parametric synthesis for speech recognition Overview Disrupts speech features: Masked MFCCs He said such products would be marketed by other companies with experience him at this month. Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 50 / 73

Parametric synthesis for speech recognition Overview Disrupts speech features: Clean MFCCs He said such products would be marketed by other companies with experience in that business. Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 51 / 73

Parametric synthesis for speech recognition Overview Estimate better features using a strong prior model He said such products would be marketed by other companies with experience in that business. Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 52 / 73

Parametric synthesis for speech recognition Overview Our approach: Analysis-by-synthesis Synthesize speech signal so that it looks like the observation looks like speech Itakura-Saito divergence compares prediction with noisy observation Recognizer gives likelihood of speech-ness Both easy to optimize using gradient descent Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 53 / 73

Parametric synthesis for speech recognition Overview Speech recognizer includes lots of information Large vocabulary continuous speech recognizer captures: Acoustics of speech sounds The e ect of neighboring speech sounds Pronunciation of words Order of words Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 54 / 73

Parametric synthesis for speech recognition Algorithm Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition Overview Algorithm Results Summary 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 55 / 73

Parametric synthesis for speech recognition Algorithm Optimization over speech features x: optimization state: MFCCs, 10,000 dimensions y(x): ASR features derived from x M: mask provided a priori by another source separator min x n o L(x; M) =min (1 ) L I (x; M) + L H (y(x)) x Total cost Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 56 / 73

Parametric synthesis for speech recognition Algorithm Optimization over speech features x: optimization state: MFCCs, 10,000 dimensions y(x): ASR features derived from x M: mask provided a priori by another source separator min x n o L(x; M) =min (1 ) L I (x; M) + L H (y(x)) x Total cost Distance to noisy observation Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 56 / 73

Parametric synthesis for speech recognition Algorithm Optimization over speech features x: optimization state: MFCCs, 10,000 dimensions y(x): ASR features derived from x M: mask provided a priori by another source separator min x n o L(x; M) =min (1 ) L I (x; M) + L H (y(x)) x Total cost Distance to noisy observation Negative log likelihood under recognizer Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 56 / 73

Parametric synthesis for speech recognition Algorithm Analysis of audio meets resynthesis of MFCCs at mask Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 57 / 73

Parametric synthesis for speech recognition Algorithm L I (x; M): Distance to noisy observation Resynthesize MFCCs to power spectrum, where mask was computed Do mask-aware comparison in that domain: weighted Itakura-Saito between resynthesis, S!t (x), and noisy observation, S weighted by mask, M L I (x; M) =D M (S k S) = X!,t M!t S!t S!t (x) Does not require modeling speech excitation Numerically di erentiable with respect to x log S!t S!t (x) 1 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 58 / 73

Parametric synthesis for speech recognition Algorithm L H (y(x)): Likelihood under recognizer Large vocabulary continuous speech recognizer big hidden Markov model (HMM) approximated by the lattice of likely paths Closed form gradient with respect to x Serves as a model of clean MFCC sequences Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 59 / 73

Parametric synthesis for speech recognition Algorithm L H (y(x)): Likelihood under recognizer Large vocabulary continuous speech recognizer big hidden Markov model (HMM) approximated by the lattice of likely paths Closed form gradient with respect to x Serves as a model of clean MFCC sequences Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 59 / 73

Parametric synthesis for speech recognition Algorithm Optimization State space of approximately 13 800 10,000 dimensions Quasi-Newton optimization, BFGS gradient plus approximate second-order information Closed form gradient of HMM likelihood using a forward-backward algorithm Numerical gradient of IS divergence independent costs and gradients for each frame Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 60 / 73

Parametric synthesis for speech recognition Results Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition Overview Algorithm Results Summary 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 61 / 73

Parametric synthesis for speech recognition Results Experiment AURORA4 corpus read Wall Street Journal sentences (5000 word vocabulary) six environmental noise types SNRs between 5 and 15 db Masks from ideal binary mask and estimated ratio mask 7 7 Arun Narayanan and DeLiang Wang. Ideal ratio mask estimation using deep neural networks for robust speech recognition. In Acoustics, Speech and Signal Processing (ICASSP), 2013 IEEE International Conference on, pages7092 7096. IEEE, May 2013 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 62 / 73

Parametric synthesis for speech recognition Results Recognition results Word error rate (%) averaged across noise type Mask Direct A-by-S Noisy 30.94 Estimated 16.18 15.31 Oracle 14.38 13.62 Clean 9.54 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 63 / 73

Parametric synthesis for speech recognition Results Reconstruction results Itakura-Saito divergence between resynthesized speech and original Mask Direct A-by-S Noisy 272301 Estimated 276497 275224 1273 Oracle 273006 272506 500 Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 64 / 73

Parametric synthesis for speech recognition Results Resynthesis gets closer to reliable regions Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 65 / 73

Parametric synthesis for speech recognition Results Resynthesis gets closer to reliable regions Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 66 / 73

Parametric synthesis for speech recognition Results Resynthesis gets closer to reliable regions Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 67 / 73

Parametric synthesis for speech recognition Results Resynthesis gets closer to reliable regions Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 68 / 73

Parametric synthesis for speech recognition Summary Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition Overview Algorithm Results Summary 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 69 / 73

Parametric synthesis for speech recognition Summary Summary Use a full recognizer as a prior model for clean speech Synthesize from MFCCs to the domain of the mask Adjust synthesis of speech signal so that it looks like the observation looks like speech Reduces recognition errors, distance to clean utterance Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 70 / 73

Parametric synthesis for speech recognition Summary Future directions Apply to DNN-based acoustic models Model speech excitation for full resynthesis of clean speech Model multiple simultaneous speakers and estimate masks jointly Combine with similar binaural model to include spatial clustering Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 71 / 73

Summary Outline 1 Motivation: need for noise robustness 2 Non-parametric synthesis for speech enhancement 3 Parametric synthesis for speech recognition 4 Summary Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 72 / 73

Summary Summary Synthesizers provide strong prior information Non-parametric synthesis models for high quality learned nonlinear matching function for perceptually motivated features Parametric synthesis models for e cient representation strong, di erentiable prior model of speech Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 73 / 73

Summary Summary Synthesizers provide strong prior information Non-parametric synthesis models for high quality learned nonlinear matching function for perceptually motivated features Parametric synthesis models for e cient representation strong, di erentiable prior model of speech Thanks! Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 73 / 73

Summary Summary Synthesizers provide strong prior information Non-parametric synthesis models for high quality learned nonlinear matching function for perceptually motivated features Parametric synthesis models for e cient representation strong, di erentiable prior model of speech Thanks! Any questions? Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 73 / 73

Parametric synthesis for separation Outline 5 Parametric synthesis for separation Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 1 / 3

Parametric synthesis for separation Re-estimate mask using resynthesis: Original Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 2 / 3

Parametric synthesis for separation Re-estimate mask using resynthesis: Re-estimate Michael Mandel (Brooklyn College) Analysis-by-synthesis Sept 8, 2015 3 / 3