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A Comprehensive Analysis of Deep Regression

arXiv 1803.08450 ↗First posted 22 Mar 2018cs.CVcited by 48

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Abstract (arXiv)

Deep learning revolutionized data science, and recently its popularity has grown exponentially, as did the amount of papers employing deep networks. Vision tasks, such as human pose estimation, did not escape from this trend. There is a large number of deep models, where small changes in the network architecture, or in the data pre-processing, together with the stochastic nature of the optimization procedures, produce notably different results, making extremely difficult to sift methods that significantly outperform others. This situation motivates the current study, in which we perform a systematic evaluation and statistical analysis of vanilla deep regression, i.e. convolutional neural networks with a linear regression top layer. This is the first comprehensive analysis of deep regression techniques. We perform experiments on four vision problems, and report confidence intervals for the median performance as well as the statistical significance of the results, if any. Surprisingly, the variability due to different data pre-processing procedures generally eclipses the variability due to modifications in the network architecture. Our results reinforce the hypothesis according to which, in general, a general-purpose network (e.g. VGG-16 or ResNet-50) adequately tuned can yield results close to the state-of-the-art without having to resort to more complex and ad-hoc regression models.

Key facts. Cited by 48 papers in the map (data through 14 Oct 2026). First posted on arXiv 22 Mar 2018.

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Citing papers per year: 2021: 16; 2022: 9; 2023: 6; 2024: 8; 2025: 7; 2026: 2.

48 papers.

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  3. 2023Principal Uncertainty Quantification with Spatial Correlation for Image Restoration Problemscited by 28
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  5. 2023How Reliable is Your Regression Model's Uncertainty Under Real-World Distribution Shifts?cited by 14
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  10. 2021Backdoor Attack and Defense for Deep Regressioncited by 6
  11. 2022AI/ML Algorithms and Applications in VLSI Design and Technologycited by 5
  12. 2021Few-shot calibration of low-cost air pollution (PM2.5) sensors using meta-learningcited by 3
36 more
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  4. 2024Contrastive Learning with Adaptive Neighborhoods for Brain Age Prediction on 3D Stiffness Mapscited by 3
  5. 2024Exploiting Memory-aware Q-distribution Prediction for Nuclear Fusion via Modern Hopfield Networkcited by 3
  6. 2024Defending Deep Regression Models against Backdoor Attackscited by 3
  7. 2021Real-Time Optimal Trajectory Planning for Autonomous Vehicles and Lap Time Simulation Using Machine Learningcited by 2
  8. 2021A Neural Anthropometer Learning from Body Dimensions Computed on Human 3D Meshescited by 2
  9. 2021Probabilistic Regression with Huber Distributionscited by 2
  10. 2022Distributional loss for convolutional neural network regression and application to GNSS multi-path estimationcited by 2
  11. 2025Passive Heart Rate Monitoring During Smartphone Use in Everyday Lifecited by 2
  12. 2025Uncertainty Quantification for Deep Regression using Contextualised Normalizing Flowscited by 2
  13. 2021Overestimation learning with guaranteescited by 1
  14. 2021Using Robust Regression to Find Font Usage Trendscited by 1
  15. 2021Robust and Active Learning for Deep Neural Network Regressioncited by 1
  16. 2021A Simple Approach to Image Tilt Correction with Self-Attention MobileNet for Smartphonescited by 1
  17. 2021Survey of Deep Learning Methods for Inverse Problemscited by 1
  18. 2022ECG-Based Electrolyte Prediction: Evaluating Regression and Probabilistic Methodscited by 1
  19. 2023Tensor Ring Optimized Quantum-Enhanced Tensor Neural Networkscited by 1
  20. 2025ACCon: Angle-Compensated Contrastive Regularizer for Deep Regressioncited by 1
  21. 2025Neural Scaling Laws for Deep Regressioncited by 1
  22. 2026Enhancing classification accuracy through chaoscited by 1
  23. 2021FES: A Fast Efficient Scalable QoS Prediction Frameworkcited by 0
  24. 2021Faster Deep Ensemble Averaging for Quantification of DNA Damage from Comet Assay Images With Uncertainty Estimatescited by 0
  25. 2022Generative models-based data labeling for deep networks regression: application to seed maturity estimation from UAV multispectral imagescited by 0
  26. 2022PMODE: Prototypical Mask based Object Dimension Estimationcited by 0
  27. 2022Smooth Mathematical Function from Compact Neural Networkscited by 0
  28. 2023Bayesian optimization for sparse neural networks with trainable activation functionscited by 0
  29. 2023Univariate Radial Basis Function Layers: Brain-inspired Deep Neural Layers for Low-Dimensional Inputscited by 0
  30. 2024Multi-Sensor Diffusion-Driven Optical Image Translation for Large-Scale Applicationscited by 0
  31. 2024Evaluation and Prognostic Validation of Deep Regression Models for WSI-Based Gene-Expression Predictioncited by 0
  32. 2024Fr'echet regression with implicit denoising and multicollinearity reductioncited by 0
  33. 2025Convolutional Rectangular Attention Modulecited by 0
  34. 2025Basis Transformers for Multi-Task Tabular Regressioncited by 0
  35. 2025MELCOT: A Hybrid Learning Architecture with Marginal Preservation for Matrix-Valued Regressioncited by 0
  36. 2026DeepRed: an architecture for redshift estimationcited by 0