diff --git a/README.md b/README.md index 737bb69..8c28028 100644 --- a/README.md +++ b/README.md @@ -8,27 +8,27 @@ Scheibler](http://robinscheibler.org). Abstract -------- -We propose a new algorithm for blind source separation of convolutive -mixtures using independent vector analysis. This is an improvement over the -popular auxiliary function based independent vector analysis (AuxIVA) with -iterative projection (IP) or iterative source steering (ISS). We introduce -iterative projection with adjustment (IPA), whereas we update one demixing -filter and jointly adjust all the other sources along its current direction. We -implement this scheme as multiplicative updates by a rank-2 perturbation of the -identity matrix. Each update involves solving a non-convex minimization problem -that we term log-quadratically penalized quadratic minimization (LQPQM), that -we think is of interest beyond this work. We find that the global minimum of an -LQPQM can be efficiently computed. In the general case, we show that all its -stationary points can be characterized as zeros of a kind of secular equation, -reminiscent of modified eigenvalue problems. We further prove that the global -minimum corresponds to the largest of these zeros. We propose a simple -procedure based on Newton-Raphson seeded with a good initial point to -efficiently compute it. We validate the performance of the proposed method for -blind acoustic source separation via numerical experiments with reverberant -speech mixtures. We show that not only is the convergence speed faster in terms -of iterations, but each update is also computationally cheaper. Notably, for -four and five sources, AuxIVA with IPA converges more than twice as fast as -competing methods. +We propose a new algorithm for blind source separation (BSS) using independent +vector analysis (IVA). This is an improvement over the popular auxiliary +function based IVA (AuxIVA) with iterative projection (IP) or iterative source +steering (ISS). We introduce iterative projection with adjustment (IPA), where +we update one demixing filter and jointly adjust all the other sources along +its current direction. Each update involves solving a non-convex minimization +problem that we term log-quadratically penalized quadratic minimization +(LQPQM), that we think is of interest beyond this work. In the general case, we +show that its global minimum corresponds to the largest root of a univariate +function, reminiscent of modified eigenvalue problems. We propose a simple +procedure based on Newton-Raphson to efficiently compute it. Numerical +experiments demonstrate the effectiveness of the proposed method. First, we +show that it efficiently decreases the value of the surrogate function. In +further experiments on synthetic mixtures, we study the probability of finding +the true demixing matrix and convergence speed. We show that the proposed +method combines high success rate and fast convergence. Finally, we validate +the performance on a reverberant blind speech separation task. We find that all +the AuxIVA-based methods perform similarly in terms of acoustic BSS metrics. +However, AuxIVA-IPA converges faster. We measure up to 8.5 times speed-up in +terms of runtime compared to the next best AuxIVA-based method, depending on +the number of channels and the signal-to-noise ratio (SNR). Author ------ @@ -39,13 +39,17 @@ Author Summary of Experiments ---------------------- -### Experiment 1: Separation performance +### Solve Random SeDJoCo Problems -Separation performance for different numbers of sources and microphones. +Evaluate the performance of the proposed method to minimize the surrogate function only. -### Experiment 2: Speed contest +### Separation of Synthetic Mixtures -Plot iterations/runtime of algorithm vs SIR. +Evaluate many IVA algorithms for the separation of data following the spherical Laplace distribution. + +### Separation of Reverberant Speech Mixtures + +Evaluate the performance of many IVA algorithms for the separation of reverberant speech. Test Run the Algorithms ----------------------- @@ -92,6 +96,27 @@ The full usage instructions is provided below. Reproduce the Results --------------------- +The script `prepare_figures.sh` was used to prepare the figures of the paper. +If the simulations are re-run, it should be edited to adjust the result file names. + +### Random SeDJoCo Problems + + # Run the simulation, creates in `data/` folder + python ./experiment_head.py + + # Create the figure + python ./experiment_head_plot.py data/ + +### Separation of Synthetic Mixtures + + # Run the simulation, creates in `data/` folder + python ./experiment_iva.py + + # Create the figure + python ./experiment_iva_plot.py data/ + +### Separation of Reverberant Speech Mixtures + The code can be run serially, or using multiple parallel workers via [ipyparallel](https://ipyparallel.readthedocs.io/en/latest/). Moreover, it is possible to only run a few loops to test whether the @@ -132,9 +157,19 @@ containing the following files arguments.json # the list of all combinations of arguments simulated data.json # the results of the simulation -Figure 1., 2., 3., and 4. from the paper are produced then by running - ./prepare_figures.sh +The figures and tables can be produced as follows. + + # figure with box-plots of SDR/SIR + python ./make_figure3_journal_ipa_separation_hist.py \ + ./data// --pca + + # figure with wall-clock vs SDR/SIR + python ./make_figure4_journal_ip_speed_contest.py \ + ./data// --pca --pickle + + # runtime table + python ./make_table_runtime.py data// --pickle License ------- diff --git a/data/20200706-225526_speed_contest_journal_ipa_720398193e/arguments.json b/data/20200706-225526_speed_contest_journal_ipa_720398193e/arguments.json deleted file mode 100644 index fc1114b..0000000 --- a/data/20200706-225526_speed_contest_journal_ipa_720398193e/arguments.json +++ /dev/null @@ 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"init": "pca", - "callback_checkpoints": [ - 2, - 4, - 6, - 8, - 10, - 20, - 30, - 40, - 50, - 60, - 70, - 80, - 90, - 100 - ] - } - }, - "auxiva_demix_steer_pca": { - "algo": "auxiva-demix-steer", - "kwargs": { - "n_iter": 100, - "model": "laplace", - "init": "pca", - "callback_checkpoints": [ - 2, - 4, - 6, - 8, - 10, - 20, - 30, - 40, - 50, - 60, - 70, - 80, - 90, - 100 - ] - } - }, - "auxiva_laplace_nopca": { - "algo": "auxiva", - "kwargs": { - "n_iter": 100, - "model": "laplace", - "callback_checkpoints": [ - 1, - 2, - 3, - 4, - 6, - 8, - 10, - 20, - 30, - 40, - 50, - 60, - 70, - 80, - 90, - 100 - ] - } - }, - "auxiva_iss_laplace_nopca": { - "algo": "auxiva-iss", - "kwargs": { - "n_iter": 100, - "model": "laplace", - "callback_checkpoints": [ - 1, - 2, - 3, - 4, - 6, - 8, - 10, - 20, - 30, - 40, - 50, - 60, - 70, - 80, - 90, - 100 - ] - } - }, - "auxiva2_laplace_nopca": { - "algo": "auxiva2", - "kwargs": { - "n_iter": 100, - "model": "laplace", - "callback_checkpoints": [ - 2, - 4, - 6, - 8, - 10, - 20, - 30, - 40, - 50, - 60, - 70, - 80, - 90, - 100 - ] - } - }, - "auxiva_demix_steer_nopca": { - "algo": "auxiva-demix-steer", - "kwargs": { - "n_iter": 100, - "model": "laplace", - "callback_checkpoints": [ - 2, - 4, - 6, - 8, - 10, - 20, - 30, - 40, - 50, - 60, - 70, - 80, - 90, - 100 - ] - } - } - }, - "_git_sha": "720398193e", - "_date": "20200706-225526", -} diff --git a/prepare_figures.sh b/prepare_figures.sh index 4e13478..a470f39 100755 --- a/prepare_figures.sh +++ b/prepare_figures.sh @@ -1,21 +1,21 @@ #!/bin/bash -# make the figures about LQPQM +# Figure 1 and 2: LQPQM python ./make_figure_1_2_LQPQM.py -# figure with box-plots of SDR/SIR +# Figure 3 and Table II: Random SeDJoCo Problems +python ./experiment_head_plot.py data/20201211-113855_experiment_head_results.npz + +# Figure 4 and Table III: Separation of Synthetic Mixtures +python ./experiment_iva_plot.py data/merge_20210305-190428_experiment_iva_results_20210320-174319_experiment_iva_results.npz + +# Figure 5: Box-plots of SDR/SIR python ./make_figure3_journal_ipa_separation_hist.py \ ./data/20201222-185917_speed_contest_journal_ipa_2bc728a163/ --pca -# figure with wall-clock vs SDR/SIR +# Figure 6: Wall-clock vs SDR/SIR python ./make_figure4_journal_ip_speed_contest.py \ ./data/20201222-185917_speed_contest_journal_ipa_2bc728a163/ --pca --pickle -# figure for the HEAD experiment -python ./experiment_head_plot.py data/20201211-113855_experiment_head_results.npz - -# figure for the IVA experiment -python ./experiment_iva_plot.py data/merge_20210305-190428_experiment_iva_results_20210320-174319_experiment_iva_results.npz - -# table for the runtime table +# Table IV: Runtimes python ./make_table_runtime.py data/20201222-185917_speed_contest_journal_ipa_2bc728a163/ --pickle