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https://github.com/braun-steven/multiway-algorithms-comparison


https://github.com/braun-steven/multiway-algorithms-comparison

algorithms multiway nway parafac

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## Multiway-Algorithms PARAFAC Comparison Test

To compare the multiway-algorithms PARAFAC implementation with the matlab nway toolbox run the following step:

1. Initialize the mutliway-algorithms and nway-toolbox local installations by running
```bash
$ bash init.sh
```
This should clone the latest multiway-algorithms develop branch and the nway repository

2. Run the nway PARAFAC implementation:
```bash
$ bash run-nway-toolbox-parafac.sh
```
Results in:
```
Loss =

413.6739
```

3. Run the multiway-algorithms PARAFAC implementation:
```bash
$ bash run-multiway-alg-parafac.sh
```
Results in:
```
[INFO ] 18:14:11.388 [Main.main()] Main - Loss = 413.9942821962213
```

The data can be found in `matlab/Fluorescence\ EEMs/` as `.dat` files or in `data/` as `.csv` files. The matlab script `matlab/generate_data_dir.m` generates the `.csv` files.

### Algorithm Setup
Both runs are started with the same options:

Option | Value
--- | ---
number of components | 4..10
max. iterations | 2500
improvement tolerance threshold | 10e-6
init method | {random orthogonalized matrices, SVD}

### Results
number of components | nway loss (random orth. init)| mwa loss (random orth. init) | nway loss (SVD init)| mwa loss (SVD init)
:---: | ---: | ---: | ---: | ---:
3 | 562.3193 | 562.6590 | **562.3179** | 562.9468
4 | **413.7502** | 413.9942 | 413.7559 | 414.0267
5 | **306.6297** | 307.1157 | 306.691 | 310.7814
6 | 217.8061| 218.3507 | **217.7974**| 218.0926
7 | 175.0781 | 175.6058 | **175.0551** | 175.9703
8 | 144.0486 | 145.9342 | **143.9903** | 145.5471
9 | **122.1815** | 126.5388 | 122.2394 | 122.3786
10 | **104.1776** | 109.5957 | 104.1796 | 107.6224