Methods › General › Loss Functions › GAN Least Squares Loss
GAN Least Squares Loss
Introduced by Xudong Mao et al. in Least Squares Generative Adversarial Networks
archive 2025-07-28 Description, source and code snippet are the archive's method entry.
GAN Least Squares Loss is a least squares loss function for generative adversarial networks. Minimizing this objective function is equivalent to minimizing the Pearson χ² divergence. The objective function (here for LSGAN) can be defined as:
min_DV_(LS)(D) = 1/2𝔼_(𝐱 ∼p_(data)(𝐱))[(D(𝐱) - b)²] + 1/2𝔼_(𝐳∼p_(data)(𝐳))[(D(G(𝐳)) - a)²]
min_GV_(LS)(G) = 1/2𝔼_(𝐳 ∼p_𝐳(𝐳))[(D(G(𝐳)) - c)²]
where a and b are the labels for fake data and real data and c denotes the value that G wants D to believe for fake data.
Papers archive 2025-07-28
30 shown of 421, newest first. Repository counts are the archive's code-links table. A Syntology line states what Syntology ran from that paper's harvested code; it is per sample and not a correctness claim.
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Multipath cycleGAN for harmonization of paired and unpaired low-dose lung computed tomography reconstruction kernels 28 May 2025 · 0 repositories · arXiv:2505.22568
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Unpaired Image-to-Image Translation for Segmentation and Signal Unmixing 27 May 2025 · 0 repositories · arXiv:2505.20746
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3D Reconstruction from Sketches 20 May 2025 · 0 repositories · arXiv:2505.14621
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Towards Generating Realistic Underwater Images 20 May 2025 · 0 repositories · arXiv:2505.14296
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A Deep Learning-Driven Inhalation Injury Grading Assistant Using Bronchoscopy Images 13 May 2025 · 0 repositories · arXiv:2505.08517
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MRI motion correction via efficient residual-guided denoising diffusion probabilistic models 6 May 2025 · 0 repositories · arXiv:2505.03498
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Revolutionizing Brain Tumor Imaging: Generating Synthetic 3D FA Maps from T1-Weighted MRI using CycleGAN Models 6 May 2025 · 0 repositories · arXiv:2505.03662
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Lesion-Aware Generative Artificial Intelligence for Virtual Contrast-Enhanced Mammography in Breast Cancer 5 May 2025 · 0 repositories · arXiv:2505.03018
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ClearVision: Leveraging CycleGAN and SigLIP-2 for Robust All-Weather Classification in Traffic Camera Imagery 28 Apr 2025 · 0 repositories · arXiv:2504.19684
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Tune It Up: Music Genre Transfer and Prediction 27 Mar 2025 · 1 repository · arXiv:2503.22008
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Exploiting Diffusion Prior for Real-World Image Dehazing with Unpaired Training 19 Mar 2025 · 1 repository · arXiv:2503.15017
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Whole-Body Image-to-Image Translation for a Virtual Scanner in a Healthcare Digital Twin 18 Mar 2025 · 0 repositories · arXiv:2503.15555
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CyclePose -- Leveraging Cycle-Consistency for Annotation-Free Nuclei Segmentation in Fluorescence Microscopy 14 Mar 2025 · 0 repositories · arXiv:2503.11266
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Feature Fusion Attention Network with CycleGAN for Image Dehazing, De-Snowing and De-Raining 8 Mar 2025 · 0 repositories · arXiv:2503.06107
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Generalizable Image Repair for Robust Visual Autonomous Racing 7 Mar 2025 · 1 repository · arXiv:2503.05911
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MRI super-resolution reconstruction using efficient diffusion probabilistic model with residual shifting 3 Mar 2025 · 1 repository · arXiv:2503.01576
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Cross Modality Medical Image Synthesis for Improving Liver Segmentation 2 Mar 2025 · 0 repositories · arXiv:2503.00945
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Development of an Unpaired Deep Neural Network for Synthesizing X-ray Fluoroscopic Images from Digitally Reconstructed Tomography in Image Guided Radiotherapy 1 Mar 2025 · 0 repositories · arXiv:2503.00665
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A Physics-Informed Deep Learning Model for MRI Brain Motion Correction 13 Feb 2025 · 1 repository · arXiv:2502.09296
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Bidirectional Brain Image Translation using Transfer Learning from Generic Pre-trained Models 21 Jan 2025 · 0 repositories · arXiv:2501.12488
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SFC-GAN: A Generative Adversarial Network for Brain Functional and Structural Connectome Translation 13 Jan 2025 · 0 repositories · arXiv:2501.07055
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A Value Mapping Virtual Staining Framework for Large-scale Histological Imaging 7 Jan 2025 · 0 repositories · arXiv:2501.03592
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Plasma-CycleGAN: Plasma Biomarker-Guided MRI to PET Cross-modality Translation Using Conditional CycleGAN 4 Jan 2025 · 0 repositories · arXiv:2501.02146
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Emulating Clinical Quality Muscle B-mode Ultrasound Images from Plane Wave Images Using a Two-Stage Machine Learning Model 7 Dec 2024 · 1 repository · arXiv:2412.05758
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Improving speaker verification robustness with synthetic emotional utterances 30 Nov 2024 · 0 repositories · arXiv:2412.00319
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Improving Deformable Image Registration Accuracy through a Hybrid Similarity Metric and CycleGAN Based Auto-Segmentation 25 Nov 2024 · 0 repositories · arXiv:2411.16992
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Unified Microphone Conversion: Many-to-Many Device Mapping via Feature-wise Linear Modulation 23 Oct 2024 · 0 repositories · arXiv:2410.18322
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Transesophageal Echocardiography Generation using Anatomical Models 9 Oct 2024 · 0 repositories · arXiv:2410.06781
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Training a Computer Vision Model for Commercial Bakeries with Primarily Synthetic Images 30 Sep 2024 · 0 repositories · arXiv:2409.20122
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Enhancing Synthetic Training Data for Speech Commands: From ASR-Based Filtering to Domain Adaptation in SSL Latent Space 19 Sep 2024 · 0 repositories · arXiv:2409.12745
Tasks archive 2025-07-28
20 shown of 271 tasks the archive attaches to papers tagged with this method, by distinct papers. A task without a page in the catalog is plain text.
| Task | Papers |
|---|---|
| Translation | 104 |
| Image-to-Image Translation | 89 |
| Image Generation | 51 |
| Generative Adversarial Network | 47 |
| Domain Adaptation | 38 |
| Data Augmentation | 32 |
| Semantic Segmentation | 29 |
| Style Transfer | 28 |
| Segmentation | 25 |
| SSIM | 24 |
| Diagnostic | 16 |
| Computed Tomography (CT) | 15 |
| Denoising | 14 |
| Image Segmentation | 13 |
| Object Detection | 13 |
| Super-Resolution | 13 |
| object-detection | 13 |
| Anatomy | 12 |
| Diversity | 12 |
| Unsupervised Domain Adaptation | 12 |
Usage over time archive 2025-07-28
Components: the archive holds no method-to-method composition, so PwC's Components table cannot be rebuilt; the Papers list carries no Results column for the same reason (the archive does not join its leaderboard rows to method tags).
Categories archive 2025-07-28
Report a problem or propose a change · a person checks every report against the paper or source before anything changes; decisions are listed on /corrections