295 research outputs found
Automatic transcription of polyphonic music exploiting temporal evolution
PhDAutomatic music transcription is the process of converting an audio recording
into a symbolic representation using musical notation. It has numerous applications
in music information retrieval, computational musicology, and the
creation of interactive systems. Even for expert musicians, transcribing polyphonic
pieces of music is not a trivial task, and while the problem of automatic
pitch estimation for monophonic signals is considered to be solved, the creation
of an automated system able to transcribe polyphonic music without setting
restrictions on the degree of polyphony and the instrument type still remains
open.
In this thesis, research on automatic transcription is performed by explicitly
incorporating information on the temporal evolution of sounds. First efforts address
the problem by focusing on signal processing techniques and by proposing
audio features utilising temporal characteristics. Techniques for note onset and
offset detection are also utilised for improving transcription performance. Subsequent
approaches propose transcription models based on shift-invariant probabilistic
latent component analysis (SI-PLCA), modeling the temporal evolution
of notes in a multiple-instrument case and supporting frequency modulations in
produced notes. Datasets and annotations for transcription research have also
been created during this work. Proposed systems have been privately as well as
publicly evaluated within the Music Information Retrieval Evaluation eXchange
(MIREX) framework. Proposed systems have been shown to outperform several
state-of-the-art transcription approaches.
Developed techniques have also been employed for other tasks related to music
technology, such as for key modulation detection, temperament estimation,
and automatic piano tutoring. Finally, proposed music transcription models
have also been utilized in a wider context, namely for modeling acoustic scenes
Automatic music transcription: challenges and future directions
Automatic music transcription is considered by many to be a key enabling technology in music signal processing. However, the performance of transcription systems is still significantly below that of a human expert, and accuracies reported in recent years seem to have reached a limit, although the field is still very active. In this paper we analyse limitations of current methods and identify promising directions for future research. Current transcription methods use general purpose models which are unable to capture the rich diversity found in music signals. One way to overcome the limited performance of transcription systems is to tailor algorithms to specific use-cases. Semi-automatic approaches are another way of achieving a more reliable transcription. Also, the wealth of musical scores and corresponding audio data now available are a rich potential source of training data, via forced alignment of audio to scores, but large scale utilisation of such data has yet to be attempted. Other promising approaches include the integration of information from multiple algorithms and different musical aspects
Automatic Drum Transcription and Source Separation
While research has been carried out on automated polyphonic music transcription, to-date the problem of automated polyphonic percussion transcription has not received the same degree of attention. A related problem is that of sound source separation, which attempts to separate a mixture signal into its constituent sources. This thesis focuses on the task of polyphonic percussion transcription and sound source separation of a limited set of drum instruments, namely the drums found in the standard rock/pop drum kit. As there was little previous research on polyphonic percussion transcription a broad review of music information retrieval methods, including previous polyphonic percussion systems, was also carried out to determine if there were any methods which were of potential use in the area of polyphonic drum transcription. Following on from this a review was conducted of general source separation and redundancy reduction techniques, such as Independent Component Analysis and Independent Subspace Analysis, as these techniques have shown potential in separating mixtures of sources. Upon completion of the review it was decided that a combination of the blind separation approach, Independent Subspace Analysis (ISA), with the use of prior knowledge as used in music information retrieval methods, was the best approach to tackling the problem of polyphonic percussion transcription as well as that of sound source separation. A number of new algorithms which combine the use of prior knowledge with the source separation abilities of techniques such as ISA are presented. These include sub-band ISA, Prior Subspace Analysis (PSA), and an automatic modelling and grouping technique which is used in conjunction with PSA to perform polyphonic percussion transcription. These approaches are demonstrated to be effective in the task of polyphonic percussion transcription, and PSA is also demonstrated to be capable of transcribing drums in the presence of pitched instruments
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Transcribing Multi-Instrument Polyphonic Music With Hierarchical Eigeninstruments
This paper presents a general probabilistic model for transcribing single-channel music recordings containing multiple polyphonic instrument sources. The system requires no prior knowledge of the instruments present in the mixture (other than the number), although it can benefit from information about instrument type if available. In contrast to many existing polyphonic transcription systems, our approach explicitly models the individual instruments and is thereby able to assign detected notes to their respective sources. We use training instruments to learn a set of linear manifolds in model parameter space which are then used during transcription to constrain the properties of models fit to the target mixture. This leads to a hierarchical mixture-of-subspaces design which makes it possible to supply the system with prior knowledge at different levels of abstraction. The proposed technique is evaluated on both recorded and synthesized mixtures containing two, three, four, and five instruments each. We compare our approach in terms of transcription with (i.e., detected pitches must be associated with the correct instrument) and without source-assignment to another multi-instrument transcription system as well as a baseline non-negative matrix factorization (NMF) algorithm. For two-instrument mixtures evaluated with source-assignment, we obtain average frame-level F-measures of up to 0.52 in the completely blind transcription setting (i.e., no prior knowledge of the instruments in the mixture) and up to 0.67 if we assume knowledge of the basic instrument types. For transcription without source assignment, these numbers rise to 0.76 and 0.83, respectively
Non-Negative Group Sparsity with Subspace Note Modelling for Polyphonic Transcription
This work was supported by EPSRC Platform Grant EPSRC EP/K009559/1, EPSRC Grant EP/L027119/1, and EPSRC Grant EP/J010375/1
Sparse and Nonnegative Factorizations For Music Understanding
In this dissertation, we propose methods for sparse and nonnegative factorization that are specifically suited for analyzing musical signals. First, we discuss two constraints that aid factorization of musical signals: harmonic and co-occurrence constraints. We propose a novel dictionary learning method that imposes harmonic constraints upon the atoms of the learned dictionary while allowing the dictionary size to grow appropriately during the learning procedure. When there is significant spectral-temporal overlap among the musical sources, our method outperforms popular existing matrix factorization methods as measured by the recall and precision of learned dictionary atoms. We also propose co-occurrence constraints -- three simple and convenient multiplicative update rules for nonnegative matrix factorization (NMF) that enforce dependence among atoms. Using examples in music transcription, we demonstrate the ability of these updates to represent each musical note with multiple atoms and cluster the atoms for source separation purposes.
Second, we study how spectral and temporal information extracted by nonnegative factorizations can improve upon musical instrument recognition. Musical instrument recognition in melodic signals is difficult, especially for classification systems that rely entirely upon spectral information instead of temporal information. Here, we propose a simple and effective method of combining spectral and temporal information for instrument recognition. While existing classification methods use traditional features such as statistical moments, we extract novel features from spectral and temporal atoms generated by NMF using a biologically motivated multiresolution gamma filterbank. Unlike other methods that require thresholds, safeguards, and hierarchies, the proposed spectral-temporal method requires only simple filtering and a flat classifier.
Finally, we study how to perform sparse factorization when a large dictionary of musical atoms is already known. Sparse coding methods such as matching pursuit (MP) have been applied to problems in music information retrieval such as transcription and source separation with moderate success. However, when the set of dictionary atoms is large, identification of the best match in the dictionary with the residual is slow -- linear in the size of the dictionary. Here, we propose a variant called approximate matching pursuit (AMP) that is faster than MP while maintaining scalability and accuracy. Unlike MP, AMP uses an approximate nearest-neighbor (ANN) algorithm to find the closest match in a dictionary in sublinear time. One such ANN algorithm, locality-sensitive hashing (LSH), is a probabilistic hash algorithm that places similar, yet not identical, observations into the same bin. While the accuracy of AMP is comparable to similar MP methods, the computational complexity is reduced. Also, by using LSH, this method scales easily; the dictionary can be expanded without reorganizing any data structures
Algorithms for nonnegative matrix factorization with the beta-divergence
This paper describes algorithms for nonnegative matrix factorization (NMF)
with the beta-divergence (beta-NMF). The beta-divergence is a family of cost
functions parametrized by a single shape parameter beta that takes the
Euclidean distance, the Kullback-Leibler divergence and the Itakura-Saito
divergence as special cases (beta = 2,1,0, respectively). The proposed
algorithms are based on a surrogate auxiliary function (a local majorization of
the criterion function). We first describe a majorization-minimization (MM)
algorithm that leads to multiplicative updates, which differ from standard
heuristic multiplicative updates by a beta-dependent power exponent. The
monotonicity of the heuristic algorithm can however be proven for beta in (0,1)
using the proposed auxiliary function. Then we introduce the concept of
majorization-equalization (ME) algorithm which produces updates that move along
constant level sets of the auxiliary function and lead to larger steps than MM.
Simulations on synthetic and real data illustrate the faster convergence of the
ME approach. The paper also describes how the proposed algorithms can be
adapted to two common variants of NMF : penalized NMF (i.e., when a penalty
function of the factors is added to the criterion function) and convex-NMF
(when the dictionary is assumed to belong to a known subspace).Comment: \`a para\^itre dans Neural Computatio
Acoustically Inspired Probabilistic Time-domain Music Transcription and Source Separation.
PhD ThesisAutomatic music transcription (AMT) and source separation are important
computational tasks, which can help to understand, analyse and process music
recordings. The main purpose of AMT is to estimate, from an observed
audio recording, a latent symbolic representation of a piece of music (piano-roll).
In this sense, in AMT the duration and location of every note played is
reconstructed from a mixture recording. The related task of source separation
aims to estimate the latent functions or source signals that were mixed
together in an audio recording. This task requires not only the duration and
location of every event present in the mixture, but also the reconstruction
of the waveform of all the individual sounds. Most methods for AMT and
source separation rely on the magnitude of time-frequency representations
of the analysed recording, i.e., spectrograms, and often arbitrarily discard
phase information. On one hand, this decreases the time resolution in AMT.
On the other hand, discarding phase information corrupts the reconstruction
in source separation, because the phase of each source-spectrogram must
be approximated. There is thus a need for models that circumvent phase
approximation, while operating at sample-rate resolution.
This thesis intends to solve AMT and source separation together from
an unified perspective. For this purpose, Bayesian non-parametric signal
processing, covariance kernels designed for audio, and scalable variational
inference are integrated to form efficient and acoustically-inspired probabilistic
models. To circumvent phase approximation while keeping sample-rate
resolution, AMT and source separation are addressed from a Bayesian time-domain
viewpoint. That is, the posterior distribution over the waveform of
each sound event in the mixture is computed directly from the observed data.
For this purpose, Gaussian processes (GPs) are used to define priors over the
sources/pitches. GPs are probability distributions over functions, and its
kernel or covariance determines the properties of the functions sampled from
a GP. Finally, the GP priors and the available data (mixture recording) are
combined using Bayes' theorem in order to compute the posterior distributions
over the sources/pitches.
Although the proposed paradigm is elegant, it introduces two main challenges.
First, as mentioned before, the kernel of the GP priors determines the
properties of each source/pitch function, that is, its smoothness, stationariness,
and more importantly its spectrum. Consequently, the proposed model
requires the design of flexible kernels, able to learn the rich frequency content
and intricate properties of audio sources. To this end, spectral mixture
(SM) kernels are studied, and the Mat ern spectral mixture (MSM) kernel
is introduced, i.e. a modified version of the SM covariance function. The
MSM kernel introduces less strong smoothness, thus it is more suitable for
modelling physical processes. Second, the computational complexity of GP
inference scales cubically with the number of audio samples. Therefore, the
application of GP models to large audio signals becomes intractable. To
overcome this limitation, variational inference is used to make the proposed
model scalable and suitable for signals in the order of hundreds of thousands
of data points.
The integration of GP priors, kernels intended for audio, and variational
inference could enable AMT and source separation time-domain methods to
reconstruct sources and transcribe music in an efficient and informed manner.
In addition, AMT and source separation are current challenges, because
the spectra of the sources/pitches overlap with each other in intricate
ways. Thus, the development of probabilistic models capable of differentiating
sources/pitches in the time domain, despite the high similarity between
their spectra, opens the possibility to take a step towards solving source separation
and automatic music transcription. We demonstrate the utility of our
methods using real and synthesized music audio datasets for various types of
musical instruments
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