%@ARTICLE{widrow75ieee, 
% author={B. Widrow and J. McCool and M. Ball}, 
% journal={Proc. IEEE}, 
% title={The complex {LMS} algorithm}, 
% year={1975}, 
% volume={63}, 
% number={4}, 
% pages={719-720}, 
% month={},
% }
 
@ARTICLE{nitta97nn, 
 author={T. Nitta}, 
 journal={Neural Netw.}, 
 title={An extension of the back-propagation algorithm to complex numbers}, 
 year={1997}, 
 volume={10}, 
 number={8}, 
 pages={1391--1415}, 
 month={},
 }

@ARTICLE{nitta00npl, 
 author={T. Nitta}, 
 journal={Neural Process. Lett.}, 
 title={An analysis of the fundamental structure of complex-valued neurons}, 
 year={2000}, 
 volume={12}, 
 number={3}, 
 pages={239--246}, 
 month={},
 }
  
 
@ARTICLE{nitta03nn, 
 author={T. Nitta}, 
 journal={Neural Netw.}, 
 title={Solving the {XOR} problem and the detection of symmetry using a single complex-valued neuron}, 
 year={2003}, 
 volume={16}, 
 number={8}, 
 pages={1101--1105}, 
 month={},
 }


@ARTICLE{nitta04nc, 
 author={T. Nitta}, 
 journal={Neural Comput.}, 
 title={Orthogonality of decision boundaries in complex-valued neural networks}, 
 year={2004}, 
 volume={16}, 
 number={1}, 
 pages={73-97}, 
 month={Jan.},
 }
 

@ARTICLE{chien17tnnls, 
 author={J.-T. Chien and Y.-T. Bao}, 
 journal={IEEE Trans. Neural Netw. Learn. Syst.}, 
 title={Tensor-factorized neural networks}, 
 year={2017}, 
 volume={}, 
 number={99}, 
 pages={1--14}, 
 month={Apr.},
 }
 
@ARTICLE{nitta17tnnls, 
 author={T. Nitta and Y. Kuroe}, 
 title={Hyperbolic gradient operator and hyperbolic back-propagation learning algorithms}, 
 journal={IEEE Trans. Neural Netw. Learn. Syst.}, 
 year={2017}, 
 volume={}, 
 number={99}, 
 pages={1-14}, 
 month={Mar.},
 }


@ARTICLE{bayro01geometric,
 author={E. J. Bayro-Corrochano},
 title={Geometric neural computing},
 journal={IEEE Trans. Neural Netw.},
 volume={12},
 number={5},
 pages={968-986},
 year={2001},
}

@ARTICLE{kingma14arxiv,
 title={Adam: {A} method for stochastic optimization},
 author={D. P. Kingma and J. Ba},
 journal={arXiv preprint arXiv:1412.6980},
 year={2014}
}

@ARTICLE{ell07arxiv,
 title={On systems of linear quaternion functions},
 author={Ell, Todd A.},
 journal={arXiv preprint arXiv:math/0702084},
 year={2007}
}
 
@INPROCEEDINGS{nitta95icnn, 
 author={T. Nitta}, 
 booktitle={Proc. IEEE Int. Conf. Neural Netw.}, 
 title={A quaternary version of the back-propagation algorithm}, 
 year={1995}, 
 pages={2753--2756}, 
}

@INPROCEEDINGS{arena94iscas, 
 author={P. Arena and L. Fortuna and L. Occhipinti and M.G. Xibilia }, 
 booktitle={Proc. IEEE Int. Symp. Circuits and Syst.}, 
 title={Neural Networks for Quaternion-Valued Function Approximation}, 
 year={1994}, 
 pages={307-310}}


@INPROCEEDINGS{nitta93ijcnn, 
 author={T. Nitta}, 
 booktitle={Proc. Int. Joint Conf. Neural Netw. (IJCNN)}, 
 title={A backpropagation algorithm for neural networks based an {3D} vector product}, 
 year={1993}, 
 pages={589-592}, 
}

@INPROCEEDINGS{nitta06nipr, 
 author={T. Nitta}, 
 booktitle={Neural Information Processing–Letters and Reviews}, 
 title={Three-dimensional vector valued neural network and its generalization ability}, 
 year={2006}, 
 pages={237-242}, 
}



@INPROCEEDINGS{nitta07ijcai, 
 author={T. Nitta}, 
 booktitle={Proc. Int. Joint Conf. Artificial Intelligence (IJCAI)}, 
 title={{N}-dimensional Vector Neuron}, 
 year={2007}, 
 pages={2-7}, 
}


@INPROCEEDINGS{nitta08ijcnn, 
 author={T. Nitta and S. Buchholz}, 
 booktitle={Proc. Int. Joint Conf. Neural Netw. (IJCNN)}, 
 title={On the decision boundaries of hyperbolic neurons}, 
 year={2008}, 
 pages={2974-2980}, 
}


@INPROCEEDINGS{popa16icann, 
 author={C.-A. Popa}, 
 booktitle={Proc. Int. Conf. Artificial Neural Netw.}, 
 title={Octonion-Valued Neural Networks}, 
 year={2016}, 
 pages={435--443}, 
}


@INPROCEEDINGS{powell90iscs,
 author={S. R. Powell and P. M. Chau},
 title={Time reversed filtering in real-time},
 booktitle={Proc. IEEE Int. Symp. Circuits Syst.},
 year={1990},
 pages={1239--1243},
}


@INPROCEEDINGS{bengio18iclr, 
 author={C. Trabelsi and O. Bilaniuk and Y. Zhang and D. Serdyuk and S. Subramanian and J.-F. Santos and S. Mehri and N. Rostamzadeh and Y. Bengio and C. J Pal}, 
 title={Deep complex networks},
 booktitle={Proc. Int. Conf. Learn. Representations (ICLR)}, 
 year={2018}, 
 pages={}, 
}



@INPROCEEDINGS{buchholz00ijcnn, 
 author={S. Buchholz and G. Sommer}, 
 title={A hyperbolic multilayer perceptron}, 
 booktitle={Proc. Int. Joint Conf. Neural Netw. (IJCNN)}, 
 year={2000}, 
 pages={129-133}, 
}

@INPROCEEDINGS{popa15mvnn,
 author="C.-A. Popa",
 title="Matrix-Valued Neural Networks",
 booktitle="Mendel 2015",
 year="2015",
 publisher="Springer International Publishing",
 address="Cham",
 pages="245-255",
}

%@INPROCEEDINGS{graves08icann,
% author="A. Graves and S. Fern{\'a}ndez and J. Schmidhuber",
% title="Multi-dimensional Recurrent Neural Networks",
% booktitle="Int. Conf. Artificial Neural Netw. (ICANN)",
% year="2007",
% publisher="Springer Berlin Heidelberg",
% address="Berlin, Heidelberg",
% pages="549--558",
% }



@INPROCEEDINGS{pearson92nn,
 author={J. K. Pearson and D. L. Bisset},
 title={Back propagation in a {C}lifford algebra. },
 booktitle={Proc. IEEE Int. Conf. Neural Netw.},
 volume={2},
 pages={413--416},
 year={1992},
}

@INPROCEEDINGS{pearson94nn,
 author={J. K. Pearson and D. L. Bisset},
 title={Neural networks in the {C}lifford domain},
 booktitle={Proc. IEEE Int. Conf. Neural Netw.},
 volume={3},
 pages={1465--1469},
 year={1994},
}


@INPROCEEDINGS{johnson13nips,
  title={Accelerating stochastic gradient descent using predictive variance reduction},
  author={Johnson, Rie and Zhang, Tong},
  booktitle={Advances Neural Info. Process. Systems (NIPS)},
  pages={315--323},
  year={2013}
}


@INPROCEEDINGS{reddi15nips,
 title={On variance reduction in stochastic gradient descent and its asynchronous variants},
 author={Reddi, Sashank J and Hefny, Ahmed and Sra, Suvrit and Poczos, Barnabas and Smola, Alexander J},
 booktitle={Advances Neural Info. Process. Systems (NIPS)},
 pages={2647--2655},
 year={2015}
}


@INCOLLECTION{arena98Springer,
 author="P. Arena and L. Fortuna and G. Muscato and M.G. Xibilia",
 title="{MLP} in Quaternion Algebra",
 booktitle="Neural Networks in Multidimensional Domains",
 year="1998",
 publisher="Springer-Verlag London",
 address="London",
 volume="234",
 pages="49--75"
}

@Incollection{nitta13wiley,
 author="T. Nitta",
 title="{N}‐Dimensional Vector Neuron and Its Application to the {N}‐Bit Parity Problem",
 booktitle="Complex-valued neural networks: Advances and applications",
 year="2013",
 publisher="John Wiley and Sons",
 address="New York",
 pages="59--74",
}

@Incollection{Sommer01camp,
author="Sven Buchholz and Gerald Sommer",
title="Clifford Algebra Multilayer Perceptrons",
bookTitle="Geometric Computing with Clifford Algebras: Theoretical Foundations and Applications in Computer Vision and Robotics",
year="2001",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="315-334",
}


@Book{lounesto01,
 author={P. Lounesto},
 title={Clifford Algebras and Spinors},
 address={Cambridge},
 publisher={Cambridge University Press},
 year={2001},
}

@Book{davis12circulant,
 author={P. J. Davis},
 title={Circulant Matrices},
 publisher={American Mathematical Society; 2 edition},
 year={2012},
}

@Book{bkt15hdn,
 author={Bipin Kumar Tripathi},
 title={High Dimensional Neurocomputing},
 address={India},
 publisher={Springer, New Delhi},
 year={2015},
}

@Book{goh09complex,
 author={D. P. Mandic and V. S. L. Goh},
 title={Complex Valued Nonlinear Adaptive Filters: Noncircularity, Widely Linear and Neural Models},
 address={New York, NY},
 publisher={Wiley},
 year={2009},
}


@Book{hirose13wiley,
 author={A. Hirose},
 title={Complex-Valued Neural Networks: Advances and Applications},
 address={New York},
 publisher={John Wiley and Sons},
 year={2013},
}

@Book{hirose13springer,
 author={A. Hirose},
 title={Complex-Valued Neural Networks},
 address={Berlin},
 publisher={Springer},
 year={2013},
}

@Book{nitta09complex,
 author={T. Nitta},
 title={Complex-Valued Neural Networks: Utilizing High-Dimensional Parameters},
 address={Hershey, PA},
 publisher={Information Science Reference},
 year={2009},
}

@Book{olariu02elsevier,
 author={S. Olariu},
 title={Complex Numbers in N Dimensions},
 address={Amsterdam},
 publisher={Elsevier},
 year={2002},
}




@INPROCEEDINGS{, 
 author={}, 
 title={}, 
 booktitle={ }, 
 year={}, 
 pages={}, 
}
 
 
@ARTICLE{, 
 author={}, 
 title={}, 
 journal={}, 
 year={}, 
 volume={}, 
 number={}, 
 pages={}, 
 month={},
 }
 
@INCOLLECTION{,
 author=" and ",
 editor=" and ",
 title=" ",
 booktitle=" ",
 year=" ",
 publisher=" ",
 address=" ",
 pages=" ",
}

@Book{,
 author={},
 title={},
 address={},
 publisher={},
 year={},
}




%%%%%%%%%%%%%%% Multispectral Image Denosing %%%%%%%%%%%%%%%%%%%

@INPROCEEDINGS{zhang16ijcai, 
 author={Z. Zhang and S. Aeron}, 
 booktitle={Proc. Int. Joint Conf. Artificial Intelligence (IJCAI)}, 
 title={Denoising and completion of 3{D} Data via multidimensional dictionary learning}, 
 year={2016}, 
 pages={2371-2377}, 
}

 @ARTICLE{aharon06sp, 
 author={M. Aharon and M. Elad and A. Bruckstein}, 
 journal={IEEE Trans. Signal Process.}, 
 title={{K-SVD}: An algorithm for designing overcomplete dictionaries for sparse representation}, 
 year={2006}, 
 volume={54}, 
 number={11}, 
 pages={4311--4322}, 
 month={Nov.},
 }


@ARTICLE{elad06ip, 
 author={M. Elad and M. Aharon}, 
 journal={IEEE Trans. Image Process.}, 
 title={Image denoising via sparse and redundant representations over learned dictionaries}, 
 year={2006}, 
 volume={15}, 
 number={12}, 
 pages={3736--3745}, 
 month={Dec.},
 }
 
 @ARTICLE{dabov07ip, 
 author={ K. Dabov and A. Foi and V. Katkovnik and K. Egiazarian}, 
 journal={IEEE Trans. Image Process.}, 
 title={ Image denoising by sparse 3-{D} transform-domain collaborative filtering}, 
 year={2007}, 
 volume={16}, 
 number={8}, 
 pages={2080--2095}, 
 month={Aug.},
 }
 
 @ARTICLE{renard08grs, 
 author={N. Renard and S. Bourennane and J. Blanc-Talon}, 
 journal={IEEE Trans. Geosci. Remote Sens.}, 
 title={Denoising and dimensionality reduction using multilinear tools for hyperspectral images}, 
 year={2008}, 
 volume={5}, 
 number={2}, 
 pages={138--142}, 
 month={Apr.},
 }
 
 
@INPROCEEDINGS{peng14cvpr, 
 author={Y. Peng and D. Meng and Z. Xu and C. Gao and Y. Yang and B. Zhang}, 
 booktitle={Proc. IEEE Conf. Comput. Vision Pattern Recognition (CVPR)}, 
 title={Decomposable nonlocal tensor dictionary learning for multispectral image denoising}, 
 year={2014}, 
 pages={2949--2956}, 
}

@ARTICLE{liu12grs, 
 author={X. Liu and S. Bourennane and C. Fossati}, 
 journal={IEEE Trans. Geosci. Remote Sens.}, 
 title={Denoising of hyperspectral images using the parafac model and statistical performance analysis}, 
 year={2012}, 
 volume={50}, 
 number={10}, 
 pages={3717--3724}, 
 month={Oct.},
 }


@ARTICLE{yasuma10itip, 
 author={F. Yasuma and T. Mitsunaga and D. Iso and S. K. Nayar}, 
 journal={IEEE Trans. Image Process.}, 
 title={Generalized assorted pixel camera: postcapture control of resolution, dynamic range, and spectrum}, 
 year={2010}, 
 volume={19}, 
 number={9}, 
 pages={2241-2253}, 
 month={Mar.},
 note={[Online]. Available: \url{http://www1.cs.columbia.edu/CAVE/databases/multispectral/}}
 }


@INPROCEEDINGS{, 
 author={}, 
 booktitle={()}, 
 title={}, 
 year={}, 
 pages={}, 
}
 
 
@ARTICLE{, 
 author={}, 
 journal={}, 
 title={}, 
 year={}, 
 volume={}, 
 number={}, 
 pages={}, 
 month={},
 }
 
@INCOLLECTION{,
 author=" and ",
 editor=" and ",
 title=" ",
 booktitle=" ",
 year=" ",
 publisher=" ",
 address=" ",
 pages=" ",
}

 
%%%%%%%%%%%%%%%%%%%% Singing Voice Separation %%%%%%%%%%%%%%%%%%%%

@INPROCEEDINGS{fan17dlm, 
 author={Z.-C. Fan and T.-S. T. Chan and Y.-H. Yang and J.-S. R. Jang}, 
 booktitle={Proc. Int. Workshop Deep Learning for Music}, 
 title={Music Signal Process Using Vector Product Neural Network}, 
 year={2017}, 
}

@INPROCEEDINGS{huang12icassp, 
 author={P.-S. Huang and S. D. Chen and P. Smaragdis and M. Hasegawa-Johnson}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech and Signal Process. (ICASSP)}, 
 title={Singing-voice separation from monaural recordings using robust principal component analysis}, 
 year={2012}, 
 pages={57-60}, 
}

@INPROCEEDINGS{yang13ismir,
  author    = {Y.-H. Yang},
  title     = {Low-Rank Representation of Both Singing Voice and Music Accompaniment
               Via Learned Dictionaries},
  booktitle = {Proc. Int. Soc. Music Info. Retrieval Conf. (ISMIR)},
  pages     = {427--432},
  year      = {2013},
}

@INPROCEEDINGS{chan15icassp, 
 author={T.-S. Chan and T.-C. Yeh and Z.-C. Fan and H.-W. Chen and L. Su and Y.-H. Yang and R. Jang}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech and Signal Process. (ICASSP)}, 
 title={Vocal activity informed singing voice separation with the {iKala} dataset}, 
 year={2015}, 
 pages={718-722}, 
}

@INPROCEEDINGS{huang14ismir,
  author    = {P.-S. Huang and
               M. Kim and
               M. Hasegawa-Johnson and
               P. Smaragdis},
  title     = {Singing-Voice Separation from Monaural Recordings using Deep Recurrent
               Neural Networks},
  booktitle = {Proc. Int. Soc. Music Info. Retrieval Conf. (ISMIR)},
  pages     = {477--482},
  year      = {2014},
}


@article{lee99nature,
  author = {Lee, D. D. and Seung, H. S.},
  journal = {Nature},
  pages = {788--791},
  title = {Learning the parts of objects by nonnegative matrix factorization},
  volume = 401,
  year = 1999
}

@INPROCEEDINGS{bouvier16icassp, 
 author={D. Bouvier and N. Obin and M. Liuni and A. Roebel}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)}, 
 title={A source/filter model with adaptive constraints for {NMF}-based speech separation}, 
 year={2016}, 
 pages={131-135}, 
}

@INPROCEEDINGS{hershey16icassp, 
 author={J. R. Hershey and Z. Chen and J. Le Roux and S. Watanabe}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)}, 
 title={Deep clustering: Discriminative embeddings for segmentation and separation}, 
 year={2016}, 
 pages={31-35}, 
}

@INPROCEEDINGS{huang12icassp, 
 author={P.-S. Huang and S. D. Chen and P. Smaragdis and M. Hasegawa-Johnson}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)}, 
 title={Singing-voice separation from monaural recordings using robust principal component analysis}, 
 year={2012}, 
 pages={57-60}, 
}

@INPROCEEDINGS{stoter16icassp, 
 author={F.-R. Stöter and A. Liutkus and R. Badeau and B. Edler, and P. Magron}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)}, 
 title={Common Fate Model for Unison source Separation}, 
 year={2016}, 
 pages={126-130}, 
}

@INPROCEEDINGS{grais16aes,
  title={Single-channel audio source separation using deep neural network ensembles},
  author={Grais, Emad M and Roma, Gerard and Simpson, Andrew J R and Plumbley, Mark D},
  booktitle={Proc. Audio Eng. Soc. Conv. 140},
  year={2016},
  organization={Audio Engineering Society}
}

@INPROCEEDINGS{chandna17lvass,
  title={Monoaural audio source separation using deep convolutional neural networks},
  author={Chandna, Pritish and Miron, Marius and Janer, Jordi and G{\'o}mez, Emilia},
  booktitle={Proc. Int. Conf. Latent Variable Anal. Signal Separation},
  pages={258--266},
  year={2017},
  organization={Springer}
}

@ARTICLE{huang15taslp,
  title={Joint optimization of masks and deep recurrent neural networks for monaural source separation},
  author={Huang, Po-Sen and Kim, Minje and Hasegawa-Johnson, Mark and Smaragdis, Paris},
  journal={IEEE/ACM Trans. Audio, Speech, Language Process.},
  volume={23},
  number={12},
  pages={2136--2147},
  year={2015},
  publisher={IEEE}
}


@ARTICLE{ozerov12taslp,
  title={A general flexible framework for the handling of prior information in audio source separation},
  author={Ozerov, Alexey and Vincent, Emmanuel and Bimbot, Fr{\'e}d{\'e}ric},
  journal={IEEE Trans. Audio, Speech, Language Process.},
  volume={20},
  number={4},
  pages={1118--1133},
  year={2012},
  publisher={IEEE}
}


@ARTICLE{durrieu11jstsp, 
 author={J. L. Durrieu and B. David and G. Richard}, 
 journal={IEEE J. Sel. Topics Signal Process.}, 
 title={A Musically Motivated Mid-Level Representation for Pitch Estimation and Musical Audio Source Separation}, 
 year={2011}, 
 volume={5}, 
 number={6}, 
 pages={1180-1191}, 
 month={Oct.},}
 
 
@INPROCEEDINGS{stefan15icassp, 
 author={S. Uhlich and F. Giron and Y. Mitsufuji}, 
 booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)}, 
 title={Deep neural network based instrument extraction from music}, 
 year={2015}, 
 pages={2135-2139},}
 
 
@ARTICLE{hsu12taslp, 
 author={C. L. Hsu and D. Wang and J.-S. R. Jang and K. Hu}, 
 journal={IEEE/ACM Trans. Audio, Speech, Language Process.}, 
 title={A Tandem Algorithm for Singing Pitch Extraction and Voice Separation From Music Accompaniment}, 
 year={2012}, 
 volume={20}, 
 number={5}, 
 pages={1482-1491}, 
 month={July},}
 

@INCOLLECTION{serra10amir3,
author="Serr{\`a}, J.
and G{\'o}mez, E.
and Herrera, P.",
editor="Ra{\'{s}}, Z. W.
and Wieczorkowska, A. A.",
title="Audio Cover Song Identification and Similarity: Background, Approaches, Evaluation, and Beyond",
bookTitle="Advances in Music Information Retrieval",
year="2010",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="307--332",
}

@INCOLLECTION{jeong17springer,
  title={Singing Voice Separation Using RPCA with Weighted $ $ l\_ $\{$1$\}$ $ $-norm},
  author={Jeong, Il-Young and Lee, Kyogu},
  booktitle={Proc. Int. Conf. Latent Variable Anal. Signal Separation},
  pages={553--562},
  year={2017},
  organization={Springer}
}


@INCOLLECTION{liutkus15icassp,
  title={Scalable audio separation with light kernel additive modelling},
  author={Liutkus, Antoine and Fitzgerald, Derry and Rafii, Zafar},
  booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)},
  pages={76--80},
  year={2015},
}

@ARTICLE{zhang16taslp,
  title={A deep ensemble learning method for monaural speech separation},
  author={Xiao-Lei Zhang and DeLiang Wang},
  journal={IEEE Trans. Audio, Speech, Language Process.},
  volume={24},
  number={5},
  pages={967--977},
  year={2016},
  publisher={IEEE Press}
  
@ARTICLE{nugraha16taslp,
  title={Multichannel audio source separation with deep neural networks},
  author={Nugraha, Aditya Arie and Liutkus, Antoine and Vincent, Emmanuel},
  journal={IEEE/ACM Trans. Audio, Speech, Language Process.},
  volume={24},
  number={9},
  pages={1652--1664},
  year={2016},
  publisher={IEEE}
}

@ARTICLE{chan16tsp,
  title={Polar $n$-complex and $n$-bicomplex singular value decomposition and principal component pursuit},
  author={T.-S. T. Chan and Y.-H. Yang},
  journal={IEEE Trans. Signal Process.},
  volume={64},
  number={24},
  pages={6533--6544},
  year={2016},
  publisher={IEEE}
}
 

@inproceedings{liutkus17springer,
  title={The 2016 signal separation evaluation campaign},
  author={Liutkus, Antoine and St{\"o}ter, Fabian-Robert and Rafii, Zafar and Kitamura, Daichi and Rivet, Bertrand and Ito, Nobutaka and Ono, Nobutaka and Fontecave, Julie},
  booktitle={Proc. Int. Conf. Latent Variable Anal. Signal Separation},
  pages={323--332},
  year={2017},
  organization={Springer},
  note = {[Online]. Available: \url{https://www.sisec17.audiolabs-erlangen.de/}}
}


@INPROCEEDINGS{uhlich17icassp,
  author={S. Uhlich and M. Porcu and F. Giron and M. Enenkl and T. Kemp and N. Takahashi and Y. Mitsufuji},
  title={Improving music source separation based on deep neural networks through data augmentation and network blending},
  booktitle={Proc. IEEE Int. Conf. Acoust., Speech, Signal Process. (ICASSP)},
  pages={261--265},
  year={2017},
}

@INPROCEEDINGS{vincent15chime,
  author={E. Vincent and S. Watanabe and J. Barker and R. Marxer},
  title={The third {CHiME} speech separation and recognition challenge: Dataset, task and baselines},
  booktitle={Proc. IEEE Workshop Automat. Speech Recognition and Understanding (ASRU)},
  pages={504-511},
  year={2015},
}

@ARTICLE{vincent06taslp, 
 author={E. Vincent and R. Gribonval and C. Fevotte}, 
 journal={IEEE Trans. Audio, Speech, Language Process.}, 
 title={Performance measurement in blind audio source separation}, 
 year={2006}, 
 volume={14}, 
 number={4}, 
 pages={1462-1469}, 
 month={July},
 }
 
 
  @ARTICLE{raffii13taslp, 
 author={Z. Rafii and B. Pardo}, 
 journal={IEEE Trans. Audio, Speech, Language Process.}, 
 title={{REpeating Pattern Extraction Technique (REPET)}: A Simple Method for Music/Voice Separation}, 
 year={2013}, 
 volume={21}, 
 number={1}, 
 pages={73-84}, 
 month={Jan},
 }
 
 
@misc{sisec16mus,
  author = {},
  year = {2016},
  title = {{SiSEC MUS Homepage}},
  note =  "[Online] https://sisec.inria.fr/sisec-2016/2016-professionally-produced-music-recordings/",
}

@inproceedings{simpson16espc,
  title={Evaluation of audio source separation models using hypothesis-driven non-parametric statistical methods},
  author={Simpson, Andrew JR and Roma, Gerard and Grais, Emad M and Mason, Russell D and Hummersone, Chris and Liutkus, Antoine and Plumbley, Mark D},
  booktitle={2016 24th European Signal Processing Conference (EUSIPCO)},
  pages={1763--1767},
  year={2016},
  organization={IEEE}
}


@Inbook{serra10amir,
author="Serr{\`a}, J.
and G{\'o}mez, E.
and Herrera, P.",
editor="Ra{\'{s}}, Z. W.
and Wieczorkowska, A. A.",
title="Audio Cover Song Identification and Similarity: Background, Approaches, Evaluation, and Beyond",
bookTitle="Advances in Music Information Retrieval",
year="2010",
publisher="Springer Berlin Heidelberg",
address="Berlin, Heidelberg",
pages="307--332",
}


@INPROCEEDINGS{sprechmann12ismir,
  author= {P. Sprechmann and A. M. Bronstein and G. Sapiro},
  title     = {Real-time Online Singing Voice Separation from Monaural Recordings              Using Robust Low-rank Modeling},
  booktitle = {Proc. Int. Soc. Music Info. Retrieval Conf. (ISMIR)},
  pages     = {67--72},
  year      = {2012},
}


@INPROCEEDINGS{mass12interspeech,
  author    = {A. L. Maas and
               Q. V. Le and
               T. M. O'Neil and
               O. Vinyals and
               P. Nguyen and
               A. Y. Ng},
  title     = {Recurrent Neural Networks for Noise Reduction in Robust {ASR}},
  booktitle = {Proc. Interspeech},
  pages     = {22--25},
  year      = {2012},
}

@INPROCEEDINGS{zhang15icassp,
  author    = {X.-L. Zhang and D. Wang},
  title     = {Multi-resolution stacking for speech separation based on boosted DNN},
  booktitle = {Proc. Interspeech},
  pages     = {1745-1749},
  year      = {2015},
}


@INPROCEEDINGS{luo17icassp,
  author    = {Y. Luo and Z. Chen and J. R. Hershey and J. L. Roux and N. Mesgarani},
  title     = {Deep Clustering and Conventional Networks for Music Separation: Stronger Together},
  booktitle = {Proc. IEEE Int. Conf. Acoust., Speech and Signal Process. (ICASSP)},
  pages     = {61-65},
  year      = {2017},
}

@INPROCEEDINGS{stefan17icassp,
  author    = {S. Uhlich and M. Porcu and F. Giron and M. Enenkl and T. Kemp and N. Takahashi and Y. Mitsufuji},
  title     = {Imporving music source separation based on deep neural networs through data augmentation and network blenging},
  booktitle = {Proc. IEEE Int. Conf. Acoust., Speech and Signal Process. (ICASSP)},
  pages     = {261--265},
  year      = {2017},
}


@INPROCEEDINGS{fan16bigmm, 
 author={Z.-C. Fan and J.-S. R. Jang and C.-L. Lu}, 
 booktitle={Proc. IEEE Int. Conf. Multimedia Big Data. (BigMM)}, 
 title={Singing Voice Separation and Pitch Extraction from Monaural Polyphonic Audio Music Via {DNN} and Adaptive Pitch Tracking}, 
 year={2016}, 
 pages={178--185}, 
}

@ARTICLE{yoshii16taslp, 
 author={Y. Ikemiya and K. Itoyama and K. Yoshii}, 
 journal={IEEE/ACM Trans. on Audio, Speech, and Language Processing}, 
 title={Singing Voice Separation and Vocal F0 Estimation Based on Mutual Combination of Robust Principal Component Analysis and Subharmonic Summation}, 
 year={2016}, 
 volume={24}, 
 number={11}, 
 pages={2084-2095}, 
 month={Nov},}

@ARTICLE{salamon13magazine,
 Author = {Salamon, J. and G{\'o}mez, E. and Ellis, D.~P.~W. and Richard, G.},
 Journal = {IEEE Signal Processing Magazine},
 Title = {Melody Extraction from Polyphonic Music Signals: Approaches, Applications and Challenges},
 Year = {In Press (2013)}}
 
@INPROCEEDINGS{salamon12ismir_statistic,
 Address = {Porto, Portugal},
 Author = {Salamon, J. and Peeters, G. and R{\"o}bel, A.},
 Booktitle = {Int.~Soc.~for Music Info.~Retrieval Conf.},
 Month = {Oct.},
 Title = {Statistical Characterisation of Melodic Pitch Contours and its Application for Melody Extraction},
 Year = {2012}	
}

@INPROCEEDINGS{salamon12ismir_challenge,
 Address = {Porto, Portugal},
 Author = {Salamon, J. and Urbano, J.},
 Booktitle = {Int.~Soc.~for Music Info.~Retrieval Conf.},
 Month = {Oct.},
 Title = {Current Challenges in the Evaluation of Predominant Melody Extraction Algorithms},
 Year = {2012}
}

@INPROCEEDINGS{bittner15melody,
  title={Melody Extraction by Contour Classification.},
  author={Bittner, Rachel M and Salamon, Justin and Essid, Slim and Bello, Juan Pablo},
  booktitle={Int.~Soc.~for Music Info.~Retrieval Conf.},
  pages={500--506},
  year={2015}
}

@inproceedings{salamon16icml,
  title={Pitch analysis for active music discovery},
  author={Salamon, Justin},
  booktitle={Machine Learning for Music Discovery workshop, International Conference on Machine Learning (ICML)},
  year={2016}
}


%%%%%%%%%%%%%%%%%%%% EEG emotional classification %%%%%%%%%%%%%%%%%%%%

@ARTICLE{jirayucharoensak14tswj, 
 author={S. Jirayucharoensak and S. Pan-Ngum and P. Israsena}, 
 title={{EEG}-based emotion recognition using deep learning network with principal component based covariate shift adaptation}, 
 journal={The Scientific World J.}, 
 year={2014}, 
 volume={2014}, 
 }

@ARTICLE{koelstra12tac,
 author={S. Koelstra and C. M{\"u}hl and M. Soleymani and J.-S. Lee and A. Yazdani and T. Ebrahimi and T. Pun and A. Nijholt and I. Patras},
 title={{DEAP}: A database for emotion analysis; using physiological signals},
 journal={IEEE Trans. Affective Comput.},
 volume={3},
 number={1},
 pages={18--31},
 year={2012},
}

%%%%%%%%%%%%%%%%%%%% Vector neuron for %%%%%%%%%%%%%%%%%%%%


@ARTICLE{kanter1988potts,
  title={Potts-glass models of neural networks},
  author={Kanter, Ido},
  journal={Physical Review A},
  volume={37},
  number={7},
  pages={2739},
  year={1988},
  publisher={APS}
}


@ARTICLE{vogt92invariant,
  title={Invariant recognition in Potts glass neural networks},
  author={Vogt, H and Zippelius, A},
  journal={Journal of Physics A},
  volume={25},
  number={8},
  pages={2209},
  year={1992},
  publisher={IOP Publishing}
}

@ARTICLE{bolle91stability,
  title={Stability properties of {P}otts neural networks with biased patterns and low loading},
  author={Boll{\'e}, D{\'e}sir{\'e} and Dupont, Patrick and van Mourik, Jort},
  journal={Journal of Physics A: Mathematical and General},
  volume={24},
  number={5},
  pages={1065},
  year={1991},
  publisher={IOP Publishing}
}

@ARTICLE{bolle92thermodynamic,
  title={Thermodynamic properties of the {Q}-state {P}otts-glass neural network},
  author={Boll{\'e}, D{\'e}sir{\'e} and Dupont, Patrick and Huyghebaert, J},
  journal={Phys. Rew. A},
  volume={45},
  number={6},
  pages={4194},
  year={1992},
  publisher={APS}
}

@INPROCEEDINGS{kryzhanovsky03effective,
  title={An effective associative memory for pattern recognition},
  author={Kryzhanovsky, Boris V and Litinskii, Leonid B and Fonarev, Anatoly},
  booktitle={Int. Symposium Intelligent Data Anal.},
  pages={179--186},
  year={2003},
  organization={Springer}
}

@INPROCEEDINGS{kryzhanovsky04vector,
  title={Vector-neuron models of associative memory},
  author={Kryzhanovsky, Boris V and Litinskii, Leonid B and Mikaelian, Andrey L},
  booktitle={Proc. IEEE Int. Joint Conf. Neural Netw.},
  volume={2},
  pages={909--914},
  year={2004},
  organization={IEEE}
}

@book{farenick01algebras,
  title={Algebras of Linear Transformations},
  author={Farenick, Douglas R.},
  year={2001},
  publisher={Springer-Verlag}
}

@book{davis12circulant,
  title={Circulant matrices},
  author={Davis, Philip J},
  year={2012},
  publisher={American Mathematical Soc.}
}

@article{gaudet17arxiv,
  title     = {Deep quaternion networks},
  author    = {Gaudet, Chase and Maida, Anthony},
  journal   = {arXiv preprint arXiv:1712.04604},
  year      = {2017},
  note      = {[Online]. Source code available at: \url{https://github.com/gaudetcj/DeepQuaternionNetworks}}
}

@article{parcollet18arxiv,
  title     = {Quaternion Convolutional Neural Networks for End-to-End Automatic Speech Recognition},
  author    = {Parcollet, Titouan and Zhang, Ying and Morchid, Mohamed and Trabelsi, Chiheb and Linar{\`e}s, Georges and De Mori, Renato and Bengio, Yoshua},
  journal   = {arXiv preprint arXiv:1806.07789},
  year      = {2018}
}

@inproceedings{xavier10aistats,
  title     = {Understanding the difficulty of training deep feedforward neural networks},
  author    = {Glorot, Xavier and Bengio, Yoshua},
  booktitle = {Proc. Int. Conf. Artificial Intelligence and Statistics},
  pages     = {249--256},
  year      = {2010}
}


@inproceedings{he15cv,
  title     = {Delving Deep into Rectifiers: Surpassing Human-level Performance on Imagenet Classification},
  author    = {He, Kaiming and Zhang, Xiangyu and Ren, Shaoqing and Sun, Jian},
  booktitle = {Proc. IEEE Int. Conf. Computer Vision},
  pages     = {1026--1034},
  year      = {2015}
}

@inproceedings{hinton10icml,
  author    = {Nair, Vinod and Hinton, Geoffrey E},
  title     = {Rectified Linear Units Improve Restricted Boltzmann Machines},
  booktitle = {Proc. Int. Conf. Machine Learning},
  pages     = {807--814},
  year      = {2010}
}


@article{ioffe15arxiv,
  title     = {Batch normalization: Accelerating deep network training by reducing internal covariate Shift},
  author    = {Ioffe, Sergey and Szegedy, Christian},
  journal   = {arXiv preprint arXiv:1502.03167},
  year      = {2015}
}

@inproceedings{eigen13iccv,
  title={Restoring an image taken through a window covered with dirt or rain},
  author={Eigen, David and Krishnan, Dilip and Fergus, Rob},
  booktitle={Proc. IEEE Int. Conf. Computer Vision},
  pages={633--640},
  year={2013}
}


@article{ioffe15arxiv,
  title     = {Batch normalization: Accelerating deep network training by reducing internal covariate Shift},
  author    = {Ioffe, Sergey and Szegedy, Christian},
  journal   = {arXiv preprint arXiv:1502.03167},
  year      = {2015}
}

@inproceedings{srivastava15nips,
  title     = {Training very deep networks},
  author    = {Srivastava, Rupesh K and Greff, Klaus and Schmidhuber, J{\"u}rgen},
  booktitle = {Proc. Advances in Neural Information Processing Systems},
  pages     = {2377--2385},
  year      = {2015}
}


@inproceedings{he16cvpr,
  title     = {Deep residual learning for image recognition},
  author    = {He, Kaiming and Zhang, Xiangyu and Ren, Shaoqing and Sun, Jian},
  booktitle = {Proc. IEEE Conf. Computer Vision Pattern Recognition},
  pages     = {770--778},
  year      = {2016}
}

@article{kolda2009tensor,
  title={Tensor decompositions and applications},
  author={Kolda, Tamara G and Bader, Brett W},
  journal={SIAM review},
  volume={51},
  number={3},
  pages={455--500},
  year={2009},
  publisher={SIAM}
}

@article{trabelsi17arxiv,
  title     = {Deep complex networks},
  author    = {Trabelsi, Chiheb and Bilaniuk, Olexa and Zhang, Ying and Serdyuk, Dmitriy and Subramanian, Sandeep and Santos, Jo{\~a}o Felipe and Mehri, Soroush and Rostamzadeh, Negar and Bengio, Yoshua and Pal, Christopher J},
  journal   = {Proc. Int. Conf. Learning Representations},
  year      = {2017}
}


@inproceedings{bertalmio00cgit,
  title={Image inpainting},
  author={Bertalmio, Marcelo and Sapiro, Guillermo and Caselles, Vincent and Ballester, Coloma},
  booktitle={Proc. Annual Conf. Computer Graphics and Interactive Techniques},
  pages={417--424},
  year={2000},
}


@inproceedings{xie12nips,
  title={Image denoising and inpainting with deep neural networks},
  author={Xie, Junyuan and Xu, Linli and Chen, Enhong},
  booktitle={Proc. Advances in Neural Information Processing Systems},
  pages={341--349},
  year={2012}
}

@ARTICLE{guillemot14spm, 
author={C. Guillemot and O. Le Meur}, 
journal={IEEE Signal Processing Magazine}, 
title={Image Inpainting: Overview and Recent Advances}, 
year={2014}, 
volume={31}, 
number={1}, 
pages={127--144}, 
%doi={10.1109/MSP.2013.2273004}, 
%month={Jan},
}

@article{iizuka17tog,
  title={Globally and locally consistent image completion},
  author={Iizuka, Satoshi and Simo-Serra, Edgar and Ishikawa, Hiroshi},
  journal={ACM Trans. Graphics},
  volume={36},
  number={4},
  pages={107},
  year={2017},
}

@article{russell08labelme,
  title={LabelMe: a database and web-based tool for image annotation},
  author={Russell, Bryan C and Torralba, Antonio and Murphy, Kevin P and Freeman, William T},
  journal={Int. J. Computer Vision},
  volume={77},
  number={1-3},
  pages={157--173},
  year={2008},
  publisher={Springer}
}

@incollection{ren15nips,
title = {Shepard Convolutional Neural Networks},
author = {Ren, Jimmy SJ and Xu, Li and Yan, Qiong and Sun, Wenxiu},
booktitle = {Advances in Neural Information Processing Systems 28},
pages = {901--909},
year = {2015},
}

 
@article{chan01vcir,
  title={Non-texture inpainting by curvature-driven diffusions ({CDD})},
  author={Chan, Tony F and Shen, Jianhong},
  booktitle={J. Visual Communication and Image Representation},
  year={2001},
}

@inproceedings{masnou98icip,
  title={Level lines based disocclusion},
  author={Masnou, Simon and Morel, J. M.},
  booktitle={Int. Conf. Imgae Processing},
  pages={259--263},
  year={1998},
}

@inproceedings{efros01cgit,
  title={Image quilting for texture synthesis and transfer},
  author={Efros, Alexei A and Freeman, William T},
  booktitle={Proc. Annual Conf. Computer Graphics and Interactive Techniques},
  pages={341--346},
  year={2001},
}

@inproceedings{kwatra05tog,
  title={Texture optimization for example-based synthesis},
  author={Kwatra, Vivek and Essa, Irfan and Bobick, Aaron and Kwatra, Nipun},
  booktitle={ACM Trans. Graphics},
  volume={24},
  number={3},
  pages={795--802},
  year={2005},
}d

@inproceedings{kohler14mask,
  title={Mask-specific inpainting with deep neural networks},
  author={K{\"o}hler, Rolf and Schuler, Christian and Sch{\"o}lkopf, Bernhard and Harmeling, Stefan},
  booktitle={Proc. German Conf. Pattern Recognition},
  pages={523--534},
  year={2014},
}

@inproceedings{pathak16cvpr,
  title={Context encoders: Feature learning by inpainting},
  author={Pathak, Deepak and Krahenbuhl, Philipp and Donahue, Jeff and Darrell, Trevor and Efros, Alexei A},
  booktitle={Proc. IEEE Conf. Computer Vision and Pattern Recognition},
  pages={2536--2544},
  year={2016}
}

@article{yu18arxiv,
  title={Generative image inpainting with contextual attention},
  author={Yu, Jiahui and Lin, Zhe and Yang, Jimei and Shen, Xiaohui and Lu, Xin and Huang, Thomas S},
  journal={arXiv preprint arXiv:1801.07892},
  year={2018}
}

@INPROCEEDINGS{burns96, 
 author={Burns, Peter D. and Berns, Roy S.}, 
 booktitle={Proc. Color and Imaging Conf.}, 
 title={Analysis Multispectral Image Capture}, 
 year={1996}, 
 pages={19--22}, 
}

@article{xie2017grsl,
  title={Hyperspectral imagery denoising by deep learning with trainable nonlinearity function},
  author={Xie, Weiying and Li, Yunsong},
  journal={IEEE Geoscience and Remote Sensing Letters},
  volume={14},
  number={11},
  pages={1963--1967},
  year={2017}
}

@article{wang04tip,
  title={Image quality assessment: from error visibility to structural similarity},
  author={Wang, Zhou and Bovik, Alan C and Sheikh, Hamid R and Simoncelli, Eero P},
  journal={IEEE Trans. Image Processing},
  volume={13},
  number={4},
  pages={600--612},
  year={2004},
}