# Image-Label Recovery on Fashion Data Using Image Similarity from Triple Siamese Network

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## Abstract

**:**

## 1. Introduction

- Designing a novel DML model to learn good similarity measures between every two images in an image dataset and create a graph with their distances.
- Recovering labels for all images from the graph using a label-propagation algorithm.

## 2. Related Work

## 3. Preliminary Work

## 4. Proposed Methodology

#### 4.1. Distance Metric Learning

#### 4.1.1. Triple Siamese Network

#### 4.1.2. Graph Representation

#### 4.2. Label Propagation

#### 4.2.1. Spectral Graph Theory

#### 4.2.2. Graph Harmonic Analysis

#### 4.2.3. Problem Setup

#### 4.2.4. Recover Algorithm

## 5. Implementation

#### 5.1. Learning

#### 5.2. Validation

#### 5.3. Twin Siamese vs. Triple Siamese Network

## 6. Experiments and Results

#### Results

## 7. Conclusions

## Author Contributions

## Funding

## Institutional Review Board Statement

## Informed Consent Statement

## Conflicts of Interest

## Abbreviations

AI | Artificial intelligence |

ML | Machine learning |

DML | Distance metric learning |

CNN | Convolutional neural network |

MSE | Mean square error |

SSL | Semisupervised learning |

ReLU | Rectified linear unit |

GNN | Graph neural network |

k-NN | k-nearest neighbors |

MAE | Mean absolute error |

RA | Recover algorithm |

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**Figure 4.**Toy example of our framework on GSP bunny (N = 2503). (

**a**) Band-limited random signal in [0, 1] with noise, (

**b**) sampled signal at m = 600 locations out of 2503, (

**c**) recovered signal using our method with k = 500.

**Table 1.**Accuracy comparison of our model with other models for different partial-observation (PO) sizes. Note: RA, recover algorithm; k-NN, k-nearest neighbors.

Models | P.O. 400 | P.O. 750 | P.O. 1000 | P.O. 1500 | ||||
---|---|---|---|---|---|---|---|---|

Acc | Var | Acc | Var | Acc | Var | Acc | Var | |

Triple Siamese net and RA (our method) | 60.91% | 29.37 | 81.1% | 22.45 | 83.7% | 31.83 | 86.4% | 27.32 |

Twin Siamese net and RA [18] | 55.23 | 21.45 | 62.8% | 12.87 | 70.2% | 22.75 | 79.3% | 17.20 |

Triple Siamese net and k-NN [37] | 20.1 | 13.8 | 41.6% | 26.92 | 50% | 23.66 | 45.5% | 9.25 |

Graph convolutional network [24] | 12.81 | 15.2 | 17% | 10.01 | 21.8% | 17.21 | 23.7% | 22.90 |

**Table 2.**Precision Comparison of our model with other models for different partial-observation sizes.

Models | P.O. 400 | P.O. 750 | P.O. 1000 | P.O. 1500 | ||||
---|---|---|---|---|---|---|---|---|

Acc | Var | Acc | Var | Acc | Var | Acc | Var | |

Triple Siamese net and RA(Our method) | 57.32% | 15.4 | 84.6% | 18.67 | 85.5% | 10.49 | 87.6% | 9.41 |

Twin Siamese net and RA [18] | 52% | 17.77 | 71.4% | 16.33 | 82.7% | 17.71 | 82.8% | 12.58 |

Triple Siamese net and k-NN [37] | 39.71% | 17.32 | 60.4% | 32.79 | 65.8% | 23.36 | 67.3% | 18.63 |

Graph convolutional network [24] | 13.32% | 16.51 | 13.3% | 15.62 | 17.4% | 17.49 | 18% | 17.22 |

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**MDPI and ACS Style**

Banerjee, D.; Kyrarini, M.; Kim, W.H.
Image-Label Recovery on Fashion Data Using Image Similarity from Triple Siamese Network. *Technologies* **2021**, *9*, 10.
https://doi.org/10.3390/technologies9010010

**AMA Style**

Banerjee D, Kyrarini M, Kim WH.
Image-Label Recovery on Fashion Data Using Image Similarity from Triple Siamese Network. *Technologies*. 2021; 9(1):10.
https://doi.org/10.3390/technologies9010010

**Chicago/Turabian Style**

Banerjee, Debapriya, Maria Kyrarini, and Won Hwa Kim.
2021. "Image-Label Recovery on Fashion Data Using Image Similarity from Triple Siamese Network" *Technologies* 9, no. 1: 10.
https://doi.org/10.3390/technologies9010010