An extension of a criterion for unimodality. The Electronic Journal of Combinatorics, pp.30-155, 2001. ,
Unimodality and log-concavity of polynomials, The Summer Institute in Mathematics for Undergraduates (SIMU). (Cited on page 161, 2000. ,
Score following with dynamic time warping: an automatic pageturner, 2008. ,
Simple tempo models for real-time music tracking, Proceedings of the Seventh Sound and Music Computing Conference, 2010. ,
Towards effective 'any-time' music tracking, Proceedings of the Fifth Starting AI Researchers' Symposium (STAIRS 2010), pp.24-36, 2010. ,
Automatic page turning for musicians via real-time machine listening, Proceedings of the 18th European Conference on Artificial Intelligence, pp.241-245, 2008. ,
Technical Note???New Results Concerning Probability Distributions with Increasing Generalized Failure Rates, Operations Research, vol.61, issue.4, pp.925-931, 2013. ,
DOI : 10.1287/opre.2013.1198
The mean, median, and mode of unimodal distributions: A characterization, Theory of Probability & Its Applications, pp.210-223, 1997. ,
Convex Analysis and Monotone Operator Theory in Hilbert Spaces, p.63, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-00643354
Unimodality of Probability Measures Mathematics and its Applications, 1997. ,
Descriptive Statistics for Nonparametric Models II. Location, The Annals of Statistics, vol.3, issue.5, pp.1045-1069, 1975. ,
DOI : 10.1214/aos/1176343240
Timing is of the essence: Perceptual and computational techniques for representing, learning, and reproducing expressive timing in percussive rhythm. Master's thesis, Massachusetts Institute of Technology, 1993. ,
Monotone Markov processes with respect to the reversed hazard rate ordering: an application to reliability, Journal of Applied Probability, vol.97, issue.01, pp.195-208, 2001. ,
DOI : 10.1287/moor.12.3.562
URL : https://hal.archives-ouvertes.fr/hal-00693742
Laplace Transforms for Classes of Life Distributions, The Annals of Probability, vol.8, issue.3, 1980. ,
DOI : 10.1214/aop/1176994721
Generalized Gamma Convolutions and Related Classes of Distributions and Densities. Lecture Notes in Statistics, 1992. ,
A criterion for unimodality. The Electronic Journal of Combinatorics, p.10, 1999. ,
Unimodal, Log-Concave and Pólya Frequency Sequences in Combinatorics . Memoirs of the AMS Series, pp.149-162, 1989. ,
On the first passage time distribution for a class of Markov chains. The Annals of Probability, pp.1000-1008, 1983. ,
Monotonicity and aging properties of random sums, Statistics & Probability Letters, vol.73, issue.4, pp.381-392, 2005. ,
DOI : 10.1016/j.spl.2005.04.013
Score-performance matching using HMMs, Proceedings of the 1999 International Computer Music Conference, 1999. ,
Inference in Hidden Markov Models . Springer Series in Statistics, 2005. ,
Ratio monotonicity of polynomials derived from nondecreasing sequences, The Electronic Journal of Combinatorics, vol.17, issue.156, pp.37-155, 2010. ,
The reverse ultra log-concavity of the Boros-Moll polynomials, Proceedings of the, pp.3991-3998, 2009. ,
DOI : 10.1090/S0002-9939-09-09976-6
Realtime Audio to Score Alignment for Polyphonic Music Instruments, using Sparse Non-Negative Constraints and Hierarchical HMMS, 2006 IEEE International Conference on Acoustics Speed and Signal Processing Proceedings, pp.245-248, 2006. ,
DOI : 10.1109/ICASSP.2006.1661258
URL : https://hal.archives-ouvertes.fr/hal-00723224
Antescofo: Anticipatory synchronization and control of interactive parameters in computer music, Proceedings of the 2008 International Computer Music Conference, pp.33-40, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00694803
A Coupled Duration-Focused Architecture for Real-Time Music-to-Score Alignment, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.32, issue.6, pp.974-987, 2010. ,
DOI : 10.1109/TPAMI.2009.106
URL : https://hal.archives-ouvertes.fr/hal-00479737
Evaluation of real-time audio-to-score alignment, Proceedings of the 8th International Society for Music Information Retrieval, pp.315-316, 2007. ,
URL : https://hal.archives-ouvertes.fr/hal-00839068
Financial Modelling with Jump Processes. Financial Mathematics Series, p.193, 0199. ,
URL : https://hal.archives-ouvertes.fr/hal-00002693
Multiplicative Strong Unimodality, Australian <html_ent glyph="@amp;" ascii="&"/> New Zealand Journal of Statistics, vol.40, issue.2, pp.205-214, 1998. ,
DOI : 10.1111/1467-842X.00023
Time-coherency of Bayesian priors on transient semi-Markov chains for audio-to-score alignment, Bayesian Inference and Maximum Entropy Methods in Science and Engineering, pp.255-262, 2014. ,
DOI : 10.1063/1.4905986
URL : https://hal.archives-ouvertes.fr/hal-01080235
Coherent time modeling of Semi-Markov models with application to real-time audio-to-score alignment, 2014 IEEE International Workshop on Machine Learning for Signal Processing (MLSP), 2014. ,
DOI : 10.1109/MLSP.2014.6958908
URL : https://hal.archives-ouvertes.fr/hal-01058366
An on-line algorithm for real-time accompaniment, Proceedings of the 1984 International Computer Music Conference (ICMC 1984), pp.193-198, 1984. ,
On the product of two power series, Journal canadien de math??matiques, vol.1, issue.1, pp.1-5, 1949. ,
DOI : 10.4153/CJM-1949-001-1
Handling asynchrony in audio-score alignment, Proceedings of the 2009 International Computer Music Conference, pp.29-32, 2009. ,
An on-line time warping algorithm for tracking musical performances, Proceedings of the Nineteenth International Joint Conference on Artificial Intelligence (IJCAI-05), pp.1727-1728, 2005. ,
Soundprism: An Online System for Score-Informed Source Separation of Music Audio, IEEE Journal of Selected Topics in Signal Processing, vol.5, issue.6, pp.1205-1215, 2011. ,
DOI : 10.1109/JSTSP.2011.2159701
A state space model for online polyphonic audioscore alignment, Proceedings of the IEEE International Conference on Acoustics, Speech, and Signal Processing, pp.197-200, 2011. ,
Biological Sequence Analysis: Probabilistic Models of Proteins and Nucleic Acids, 1998. ,
DOI : 10.1017/CBO9780511790492
On the probability function in the collective theory of risk, Scandinavian Actuarial Journal, vol.15, issue.231, pp.175-195, 1932. ,
Log-concavity and inequalities for chi-square, F and beta distributions with applications in multiple comparisons, Statistica Sinica, vol.7, issue.3, pp.771-787, 1997. ,
A characterization of self-decomposable probabilities on the halfline, pp.349-352, 1979. ,
A Modern Approach to Probability Theory, Birkhäuser, 1997. ,
DOI : 10.1007/978-1-4899-2837-5
Limit Distributions for Sums of Independent Random Variables. Translated from the Russian, 1954. ,
Real-time audio-to-score alignment of singing voice based on melody and lyric information, Proceedings of the 16th Annual Conference of the International Speech Communication Association, pp.3312-3316, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01164550
Automated accompaniment of musical ensembles, Proceedings of the 12th National Conference on Artificial Intelligence (AAAI-94), pp.94-99, 1994. ,
Estimating Hidden Semi-Markov Chains From Discrete Sequences, Journal of Computational and Graphical Statistics, vol.12, issue.3, 2003. ,
DOI : 10.1198/1061860032030
Hidden hybrid Markov/semi-Markov chains, Computational Statistics & Data Analysis, vol.49, issue.3, pp.663-688, 2005. ,
DOI : 10.1016/j.csda.2004.05.033
Explicit state occupancy modelling by hidden semi-Markov models: application of Derin's scheme, Computer Speech & Language, vol.4, issue.2, pp.167-192, 1990. ,
DOI : 10.1016/0885-2308(90)90003-O
Probability: A Graduate Course Springer Texts in Statistics, 2005. ,
On log-concave and log-convex infinitely divisible sequences and densities. The Annals of Probability, pp.1832-1839, 1988. ,
Chromatic polynomials and logarithmic concavity, Journal of Combinatorial Theory, Series B, vol.16, issue.3, pp.248-254, 1974. ,
DOI : 10.1016/0095-8956(74)90071-9
The modality of some compound Poisson distributions, Biometrika, vol.57, issue.3, pp.666-667, 1970. ,
DOI : 10.1093/biomet/57.3.666
On the composition of unimodal distributions. Theory of Probability & Its Applications, pp.255-260, 1956. ,
A general composition theorem and its applications to certain partial orderings of distributions, Statistics & Probability Letters, vol.22, issue.2, pp.111-119, 1995. ,
DOI : 10.1016/0167-7152(94)00056-E
Alignement temporel musique-sur-partition par modèles graphiques discriminatifs [Audio-to-Score Temporal Alignment with Discriminative Graphical Models], pp.27-32, 2011. ,
A conditional random field viewpoint of symbolic audio-to-score matching, Proceedings of the international conference on Multimedia, MM '10, pp.871-874, 2010. ,
DOI : 10.1145/1873951.1874100
An improved hierarchical approach for music-to-symbolic score alignment, Proceedings of the 11th International Society for Music Information Retrieval Conference, pp.39-45, 2010. ,
Hidden Discrete Tempo Model: A tempo-aware timing model for audio-to-score alignment, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.397-400, 2011. ,
DOI : 10.1109/ICASSP.2011.5946424
Univariate Discrete Distributions, p.120, 0199. ,
DOI : 10.1002/0471715816
Log-concavity and the maximum entropy property of the Poisson distribution, Stochastic Processes and their Applications, pp.791-802, 2007. ,
DOI : 10.1016/j.spa.2006.10.006
Preservation of log-concavity on summation, ESAIM: Probability and Statistics, pp.206-215, 2006. ,
DOI : 10.1051/ps:2006008
Log-concavity, ultra-logconcavity , and a maximum entropy property of discrete compound Poisson measures, 2013. ,
Total positivity, volume I, p.206, 1968. ,
Log-Concavity and Log-Convexity in Passage Time Densities of Diffusion and Birth-Death Processes, Journal of Applied Probability, vol.8, issue.2, pp.391-398, 1971. ,
DOI : 10.2307/3211909
Unimodality preservation in Markov chains, Stochastic Processes and their Applications, pp.179-190, 1978. ,
DOI : 10.1016/0304-4149(78)90016-9
Uniform stochastic ordering and related inequalities, Canadian Journal of Statistics, vol.24, issue.3, 1982. ,
DOI : 10.2307/3556181
Hazard rate and reversed hazard rate monotonicities in continuous-time Markov chains, Journal of Applied Probability, vol.32, issue.03, pp.545-556, 1998. ,
DOI : 10.2307/3213979
Analysis of the meter of acoustic musical signals, IEEE Transactions on Audio, Speech and Language Processing, vol.14, issue.1, pp.342-355, 2006. ,
DOI : 10.1109/TSA.2005.854090
Tracking rests and tempo changes: Improved score following with particle filters, Proceedings of the 39th International Computer Music Conference, pp.93-99, 2013. ,
Refined spectral template models for score following, Proceedings of the Sound and Music Computing Conference 2013, pp.376-382, 2013. ,
A weaklysupervised discriminative model for audio-to-score alignment, Proceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing, pp.2484-2488, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01251018
Ordered Families of Distributions, The Annals of Mathematical Statistics, vol.26, issue.3, pp.399-419, 1955. ,
DOI : 10.1214/aoms/1177728487
Testing statistical hypotheses, 2005. ,
Bridging Viterbi and posterior decoding: a generalized risk approach to hidden path inference based on hidden Markov models, Journal of Machine Learning Research, vol.15, issue.1, pp.1-58, 2014. ,
A First Course in Sobolev Spaces. Graduate studies in mathematics, 2009. ,
Continuously variable duration hidden Markov models for automatic speech recognition, Computer Speech & Language, vol.1, issue.1, pp.29-45, 1986. ,
DOI : 10.1016/S0885-2308(86)80009-2
Ultra Logconcave Sequences and Negative Dependence, Journal of Combinatorial Theory, Series A, vol.79, issue.2, pp.315-325, 1997. ,
DOI : 10.1006/jcta.1997.2790
Nested Log-Concavity, Communications in Algebra, vol.40, issue.5, pp.1968-1981, 2010. ,
DOI : 10.1016/j.ejc.2004.04.012
Uniform stochastic orderings and total positivity, Canadian Journal of Statistics, vol.10, issue.1, pp.63-69, 1987. ,
DOI : 10.2307/3314862
Triangular array limits for continuous time random walks, Stochastic Processes and their Applications, pp.1606-1633, 2008. ,
DOI : 10.1016/j.spa.2007.10.005
Markov chain approximations for transition densities of L??vy processes, Electronic Journal of Probability, vol.19, issue.0, pp.1-37, 2014. ,
DOI : 10.1214/EJP.v19-2208
Stochastic comparisons of Poisson and binomial random variables with their mixtures, Statistics & Probability Letters, vol.65, issue.4, pp.279-290, 2003. ,
DOI : 10.1016/j.spl.2003.07.002
Modeling duration in a hidden Markov model with the exponential family, IEEE International Conference on Acoustics Speech and Signal Processing, pp.331-334, 1993. ,
DOI : 10.1109/ICASSP.1993.319304
Sur la nouvelle fonction E ? (x) Comptes Rendus de l'Académie des sciences de Paris, pp.554-558, 1903. ,
A unified approach to real time audio-to-score and audio-to-audio alignment using sequential Montecarlo inference techniques, 2011 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp.193-196, 2011. ,
DOI : 10.1109/ICASSP.2011.5946373
URL : https://hal.archives-ouvertes.fr/hal-00692579
A discrete filter bank approach to audio to score matching for polyphonic music, Proceedings of the 10th International Society for Music Information Retrieval Conference, pp.495-500, 2009. ,
An efficient multiscale approach to audio synchronization, Proceedings of the 7th International Society for Music Information Retrieval, pp.192-197, 2006. ,
Acoustic score following to musical performance with errors and arbitrary repeats and skips for automatic accompaniment, Proceedings of the Sound and Music Computing Conference 2013, pp.299-304, 2013. ,
Discrete life distributions with decreasing reversed hazard. Sankhy¯ a: The Indian Journal of, Statistics, vol.67, issue.1, pp.106-125, 2003. ,
Probability, Stochastic Processes, and Queueing Theory: The Mathematics of Computer Performance Modeling, 1995. ,
DOI : 10.1007/978-1-4757-2426-4
Score following using spectral analysis and hidden Markov models, Proceedings of the 2001 International Computer Music Conference, pp.151-154, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-01161055
Alignment of monophonic and polyphonic music to a score, Proceedings of the 2001 International Computer Music Conference, pp.129-132, 2001. ,
URL : https://hal.archives-ouvertes.fr/hal-01161134
Score following: State of the art and new developments, Proceedings of the 2003 International Conference on New Interfaces for Musical Expression (NIME-03), pp.36-41, 2003. ,
Real-Time Audio-to-Score Alignment Using Particle Filter for Coplayer Music Robots, EURASIP Journal on Advances in Signal Processing, vol.19, issue.2-3, pp.20111-20124, 2011. ,
DOI : 10.1162/comj.2009.33.4.69
Modeling form for on-line following of musical performances, Proceedings of the Twentieth National Conference on Artificial Intelligence (AAAI-05) and the Seventeenth Innovative Applications of Artificial Intelligence Conference (IAAI-05), pp.1018-1023, 2005. ,
Accelerated Degradation Models for Failure Based on Geometric Brownian Motion and Gamma Processes, Lifetime Data Analysis, vol.37, issue.4, pp.511-527, 2005. ,
DOI : 10.1007/s10985-005-5237-8
A probabilistic framework for matching music representations, Proceedings of the 8th International Conference on Music Information Retrieval, pp.267-272, 2007. ,
Towards a theory of negative dependence, Journal of Mathematical Physics, vol.41, issue.3, pp.1371-1390, 2000. ,
DOI : 10.1063/1.533200
On Mittag-Leffler functions and related distributions, Annals of the Institute of Statistical Mathematics, vol.29, issue.1, pp.157-161, 1990. ,
DOI : 10.1007/BF00050786
Estimation of semiparametric models, Handbook of Econometrics, pp.2443-2521, 1994. ,
Poisson mixtures and quasi-infinite divisibility of distributions, Journal of Applied Probability, vol.5, issue.01, pp.138-153, 1979. ,
DOI : 10.1017/S0305004100042225
A Tutorial on Hidden Markov Models and Selected Applications in Speech Recognition, Proceedings of the IEEE, pp.257-286, 1989. ,
DOI : 10.1016/B978-0-08-051584-7.50027-9
Automatic segmentation of acoustic musical signals using hidden Markov models, IEEE Transactions on Pattern Analysis and Machine Intelligence, vol.21, issue.4, pp.360-370, 1999. ,
DOI : 10.1109/34.761266
Aligning music audio with symbolic scores using a hybrid graphical model, Machine Learning, pp.389-409, 2006. ,
DOI : 10.1007/s10994-006-8415-3
A characterization of Poisson processes, Magyar Tudományos Akadémia Matematikai Kutató Intézetének Közleményei, vol.1, pp.519-527, 1957. ,
Self-similar processes with independent increments. Probability Theory and Related Fields, pp.285-300, 0198. ,
Lévy Processes and Infinitely Divisible Distributions. Cambridge Studies in Advanced Mathematics, p.149, 0199. ,
Robust polyphonic Midi score following with hidden Markov models, Proceedings of the 2004 International Computer Music Conference, pp.442-445, 2004. ,
URL : https://hal.archives-ouvertes.fr/hal-01161328
Aging first-passage times, Encyclopedia of Statistical Sciences, pp.60-67, 2006. ,
On the First-Passage Times of Pure Jump Processes, Journal of Applied Probability, vol.25, issue.3, pp.501-509, 1988. ,
DOI : 10.2307/3213979
Stochastic Orders, p.89, 2007. ,
DOI : 10.1007/978-0-387-34675-5
URL : https://hal.archives-ouvertes.fr/hal-00539122
DFR property of first-passage times and its preservation under geometric compounding. The Annals of Probability, pp.397-406, 1988. ,
Multiplicative strong unimodality for positive stable laws, Proceedings of the American Mathematical Society, vol.139, issue.7, pp.2587-2595, 2011. ,
DOI : 10.1090/S0002-9939-2010-10697-4
URL : https://hal.archives-ouvertes.fr/hal-00460134
Comparing Fr??chet and positive stable laws, Electronic Journal of Probability, vol.19, issue.0, pp.1-25, 2014. ,
DOI : 10.1214/EJP.v19-3058
Total positivity in stable semigroups. Constructive Approximation, pp.103-120, 2016. ,
Discrete analogues of self-decomposability and stability. The Annals of Probability, pp.893-899, 0198. ,
Infinite Divisibility of Probability Distributions on the Real Line, Pure and Applied Mathematics. Marcel Dekker, vol.20033319, issue.152, 2004. ,
DOI : 10.1201/9780203014127
On the Monotonicity, Log-Concavity, and Tight Bounds of the Generalized Marcum and Nuttall <formula formulatype="inline"> <tex Notation="TeX">$Q$</tex></formula>-Functions, IEEE Transactions on Information Theory, vol.56, issue.3, pp.1166-1186, 2010. ,
DOI : 10.1109/TIT.2009.2039048
Rhythm and Tempo Analysis Toward Automatic Music Transcription, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '07, pp.1317-1320, 2007. ,
DOI : 10.1109/ICASSP.2007.367320
Using differential equations to obtain joint moments of first-passage times of increasing L??vy processes, Statistics & Probability Letters, vol.80, issue.7-8, pp.697-705, 2010. ,
DOI : 10.1016/j.spl.2010.01.002
First-exit times of an inverse Gaussian process. ArXiv e-prints, 2011. ,
The synthetic performer in the context of live performance, Proceedings of the 1984 International Computer Music Conference (ICMC 1984), pp.199-200, 1984. ,
Synthetic rehearsal: Training the synthetic performer, Proceedings of the 1985 International Computer Music Conference, pp.275-278, 1985. ,
La elasticidad: una nueva herramienta para caracterizar distribuciones de probabilidad, pp.145-158, 2012. ,
The Elasticity Function of A Discrete Random Variable and its Properties, Communications in Statistics - Theory and Methods, vol.13, 2016. ,
DOI : 10.1142/S0218539302000822
The Definition of Distribution Functions with Increasing Hazard Rate in Terms of the Laplace Transform, Theory of Probability & Its Applications, pp.811-813, 1974. ,
DOI : 10.1137/1118108
Proof of a conjecture on unimodality, European Journal of Combinatorics, vol.26, issue.5, pp.617-627, 2005. ,
DOI : 10.1016/j.ejc.2004.04.012
Duration-Distribution-Based HMM for Speech Recognition, Frontiers of Electrical and Electronic Engineering in China, vol.7, issue.1, pp.26-30, 2006. ,
DOI : 10.1007/s11460-005-0010-z
On the Strong Unimodality of L??vy Processes, Nagoya Mathematical Journal, vol.15, pp.195-199, 1991. ,
DOI : 10.1080/01621459.1971.10482273
On Yamazato's property of unimodal one-sided L??vy processes, Kodai Mathematical Journal, vol.15, issue.1, 1992. ,
DOI : 10.2996/kmj/1138039526
Uniform conditional variability ordering of probability distributions, Journal of Applied Probability, vol.42, issue.03, pp.619-633, 1985. ,
DOI : 10.1214/aos/1176345075
Unimodality of infinitely divisible distribution functions of class L. The Annals of Probability, pp.523-531, 1978. ,
On strongly unimodal infinitely divisible distributions. The Annals of Probability, pp.589-601, 1982. ,
Hidden semi-Markov models, Artificial Intelligence, vol.174, issue.2, pp.215-243, 2010. ,
DOI : 10.1016/j.artint.2009.11.011
A hidden semi-Markov model with missing data and multiple observation sequences for mobility tracking, Signal Processing, vol.83, issue.2, pp.235-250, 2003. ,
DOI : 10.1016/S0165-1684(02)00378-X
On the Entropy of Compound Distributions on Nonnegative Integers, IEEE Transactions on Information Theory, vol.55, issue.8, pp.3645-3650, 2009. ,
DOI : 10.1109/TIT.2009.2023725
Stochastic ordering of exponential family distributions and their mixtures, Journal of Applied Probability, vol.46, issue.1, pp.244-254, 2009. ,
DOI : 10.1239/jap/1238592127
On log-concavity of the generalized Marcum Q function. ArXiv e-prints, p.154, 2011. ,
On normal variance-mean mixtures. ArXiv e-prints, 2011. ,