Data Models for Dataset Drift Controls in Machine Learning With Optical Images

Camera images are ubiquitous in machine learning research. They also play a central role in the delivery of important services spanning medicine and environmental surveying. However, the application of machine learning models in these domains has been limited because of robustness concerns. A primary failure mode are performance drops due to differences between the training and deployment data. While there are methods to prospectively validate the robustness of machine learning models to such dataset drifts, existing approaches do not account for explicit models of the primary object of interest: the data. This limits our ability to study and understand the relationship between data generation and downstream machine learning model performance in a physically accurate manner. In this study, we demonstrate how to overcome this limitation by pairing traditional machine learning with physical optics to obtain explicit and differentiable data models. We demonstrate how such data models can be constructed for image data and used to control downstream machine learning model performance related to dataset drift. The findings are distilled into three applications. First, drift synthesis enables the controlled generation of physically faithful drift test cases to power model selection and targeted generalization. Second, the gradient connection between machine learning task model and data model allows advanced, precise tolerancing of task model sensitivity to changes in the data generation. These drift forensics can be used to precisely specify the acceptable data environments in which a task model may be run. Third, drift optimization opens up the possibility to create drifts that can help the task model learn better faster, effectively optimizing the data generating process itself. A guide to access the open code and datasets is available at https://github.com/aiaudit-org/raw2logit.

[1]  Miguel A. Molina-Cabello,et al.  Dataset Similarity to Assess Semisupervised Learning Under Distribution Mismatch Between the Labeled and Unlabeled Datasets , 2023, IEEE Transactions on Artificial Intelligence.

[2]  Krikamol Muandet Impossibility of Collective Intelligence , 2022, ArXiv.

[3]  Marcus A. Brubaker,et al.  Learning sRGB-to-Raw-RGB De-rendering with Content-Aware Metadata , 2022, 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR).

[4]  John L. Burns,et al.  AI recognition of patient race in medical imaging: a modelling study , 2022, The Lancet. Digital health.

[5]  E. Xoplaki,et al.  Facilitating adoption of AI in natural disaster management through collaboration , 2022, Nature Communications.

[6]  James Y. Zou,et al.  MetaShift: A Dataset of Datasets for Evaluating Contextual Distribution Shifts and Training Conflicts , 2022, ICLR.

[7]  Yixuan Li,et al.  VOS: Learning What You Don't Know by Virtual Outlier Synthesis , 2022, ICLR.

[8]  Martin M. Stein,et al.  Deep physical neural networks trained with backpropagation , 2022, Nature.

[9]  Hamed Valizadegan,et al.  ExoMiner: A Highly Accurate and Explainable Deep Learning Classifier That Validates 301 New Exoplanets , 2021, The Astrophysical Journal.

[10]  Shay Moran,et al.  Towards a Unified Information-Theoretic Framework for Generalization , 2021, NeurIPS.

[11]  Theo Lasser,et al.  Statistical distortion of supervised learning predictions in optical microscopy induced by image compression , 2021, Scientific Reports.

[12]  Wojciech Samek,et al.  Detecting failure modes in image reconstructions with interval neural network uncertainty , 2021, International Journal of Computer Assisted Radiology and Surgery.

[13]  H. Köstler,et al.  Known operator learning and hybrid machine learning in medical imaging—a review of the past, the present, and the future , 2021, Progress in Biomedical Engineering.

[14]  Xiaojun Xu,et al.  On the Certified Robustness for Ensemble Models and Beyond , 2021, ICLR.

[15]  Jakob Nikolas Kather,et al.  The impact of site-specific digital histology signatures on deep learning model accuracy and bias , 2021, Nature Communications.

[16]  Anastasios Nikolas Angelopoulos,et al.  A Gentle Introduction to Conformal Prediction and Distribution-Free Uncertainty Quantification , 2021, ArXiv.

[17]  Mayee F. Chen,et al.  Mandoline: Model Evaluation under Distribution Shift , 2021, ICML.

[18]  Felix Heide,et al.  Supplementary Information Differentiable Compound Optics and Processing Pipeline Optimization for End-to-end Camera Design , 2021 .

[19]  J. Dowling,et al.  A review of medical image data augmentation techniques for deep learning applications , 2021, Journal of medical imaging and radiation oncology.

[20]  Michael W. Dusenberry,et al.  Uncertainty Baselines: Benchmarks for Uncertainty & Robustness in Deep Learning , 2021, ArXiv.

[21]  Praveen K. Paritosh,et al.  “Everyone wants to do the model work, not the data work”: Data Cascades in High-Stakes AI , 2021, CHI.

[22]  Hyo-Eun Kim,et al.  Impact of image compression on deep learning-based mammogram classification , 2021, Scientific Reports.

[23]  Samy Bengio,et al.  Understanding deep learning (still) requires rethinking generalization , 2021, Commun. ACM.

[24]  De Jong Yeong,et al.  Sensor and Sensor Fusion Technology in Autonomous Vehicles: A Review , 2021, Sensors.

[25]  Felix Heide,et al.  Adversarial Imaging Pipelines , 2021, 2021 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR).

[26]  A. Aguilar,et al.  Automatic detection and quantification of floating marine macro-litter in aerial images: Introducing a novel deep learning approach connected to a web application in R. , 2021, Environmental pollution.

[27]  E. Pierson,et al.  An algorithmic approach to reducing unexplained pain disparities in underserved populations , 2021, Nature Medicine.

[28]  Abolfazl Razi,et al.  Aerial Imagery Pile burn detection using Deep Learning: the FLAME dataset , 2020, Comput. Networks.

[29]  Pang Wei Koh,et al.  WILDS: A Benchmark of in-the-Wild Distribution Shifts , 2020, ICML.

[30]  Daniel C W Tsang,et al.  Mapping soil pollution by using drone image recognition and machine learning at an arsenic-contaminated agricultural field. , 2020, Environmental pollution.

[31]  Ryan Conrad,et al.  CEM500K, a large-scale heterogeneous unlabeled cellular electron microscopy image dataset for deep learning , 2020, bioRxiv.

[32]  Christopher Ré,et al.  No Subclass Left Behind: Fine-Grained Robustness in Coarse-Grained Classification Problems , 2020, NeurIPS.

[33]  Maximilian März,et al.  Solving Inverse Problems With Deep Neural Networks – Robustness Included? , 2020, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[34]  S. Barma,et al.  A large-scale optical microscopy image dataset of potato tuber for deep learning based plant cell assessment , 2020, Scientific Data.

[35]  Ian Goodfellow,et al.  Enabling certification of verification-agnostic networks via memory-efficient semidefinite programming , 2020, NeurIPS.

[36]  Nicolas Flammarion,et al.  RobustBench: a standardized adversarial robustness benchmark , 2020, NeurIPS Datasets and Benchmarks.

[37]  Vinay Ayyappan,et al.  Identification and Staging of B-Cell Acute Lymphoblastic Leukemia Using Quantitative Phase Imaging and Machine Learning. , 2020, ACS sensors.

[38]  Matteo Ronchetti,et al.  TorchRadon: Fast Differentiable Routines for Computed Tomography , 2020, ArXiv.

[39]  Thomas G. Dietterich,et al.  A Unifying Review of Deep and Shallow Anomaly Detection , 2020, Proceedings of the IEEE.

[40]  Karan Goel,et al.  Model Patching: Closing the Subgroup Performance Gap with Data Augmentation , 2020, ICLR.

[41]  Toby P. Breckon,et al.  On the Impact of Lossy Image and Video Compression on the Performance of Deep Convolutional Neural Network Architectures , 2020, 2020 25th International Conference on Pattern Recognition (ICPR).

[42]  Matthias Hein,et al.  Certifiably Adversarially Robust Detection of Out-of-Distribution Data , 2020, NeurIPS.

[43]  Yael Tauman Kalai,et al.  Beyond Perturbations: Learning Guarantees with Arbitrary Adversarial Test Examples , 2020, NeurIPS.

[44]  Hao Wang,et al.  Optimizing Federated Learning on Non-IID Data with Reinforcement Learning , 2020, IEEE INFOCOM 2020 - IEEE Conference on Computer Communications.

[45]  Benjamin Recht,et al.  Measuring Robustness to Natural Distribution Shifts in Image Classification , 2020, NeurIPS.

[46]  Matthias Bethge,et al.  Improving robustness against common corruptions by covariate shift adaptation , 2020, NeurIPS.

[47]  Ernest Mwebaze,et al.  A new approach for microscopic diagnosis of malaria parasites in thick blood smears using pre-trained deep learning models , 2020, SN Applied Sciences.

[48]  Pierre H. Richemond,et al.  Bootstrap Your Own Latent: A New Approach to Self-Supervised Learning , 2020, NeurIPS.

[49]  Dustin Tran,et al.  Simple and Principled Uncertainty Estimation with Deterministic Deep Learning via Distance Awareness , 2020, NeurIPS.

[50]  Jinwoo Shin,et al.  Consistency Regularization for Certified Robustness of Smoothed Classifiers , 2020, NeurIPS.

[51]  Chen Sun,et al.  What makes for good views for contrastive learning , 2020, NeurIPS.

[52]  Thomas Wiegand,et al.  On the Byzantine Robustness of Clustered Federated Learning , 2020, ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP).

[53]  Hongzhang Xu,et al.  Deep learning in environmental remote sensing: Achievements and challenges , 2020, Remote Sensing of Environment.

[54]  Marcello Chiaberge,et al.  UAV and Machine Learning Based Refinement of a Satellite-Driven Vegetation Index for Precision Agriculture † , 2020, Sensors.

[55]  Lauren Wilcox,et al.  A Human-Centered Evaluation of a Deep Learning System Deployed in Clinics for the Detection of Diabetic Retinopathy , 2020, CHI.

[56]  Wei Lu,et al.  Application of machine learning in ophthalmic imaging modalities , 2020, Eye and Vision.

[57]  M. Bethge,et al.  Shortcut learning in deep neural networks , 2020, Nature Machine Intelligence.

[58]  Sunil Agrawal,et al.  Image denoising review: From classical to state-of-the-art approaches , 2020, Inf. Fusion.

[59]  Cho-Jui Hsieh,et al.  Automatic Perturbation Analysis for Scalable Certified Robustness and Beyond , 2020, NeurIPS.

[60]  Yuwei Zhang,et al.  Dataset of segmented nuclei in hematoxylin and eosin stained histopathology images of ten cancer types , 2020, Scientific Data.

[61]  Flavio Esposito,et al.  Soybean yield prediction from UAV using multimodal data fusion and deep learning , 2020 .

[62]  Qinghua Hu,et al.  Detection and Tracking Meet Drones Challenge , 2020, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[63]  Cho-Jui Hsieh,et al.  MACER: Attack-free and Scalable Robust Training via Maximizing Certified Radius , 2020, ICLR.

[64]  Wangmeng Zuo,et al.  Deep Learning on Image Denoising: An overview , 2019, Neural Networks.

[65]  J. Gilmer,et al.  AugMix: A Simple Data Processing Method to Improve Robustness and Uncertainty , 2019, ICLR.

[66]  Tatsunori B. Hashimoto,et al.  Distributionally Robust Neural Networks for Group Shifts: On the Importance of Regularization for Worst-Case Generalization , 2019, ArXiv.

[67]  Marius Leordeanu,et al.  Towards Automatic Annotation for Semantic Segmentation in Drone Videos , 2019, ArXiv.

[68]  Dmytro Mishkin,et al.  Kornia: an Open Source Differentiable Computer Vision Library for PyTorch , 2019, 2020 IEEE Winter Conference on Applications of Computer Vision (WACV).

[69]  Sven Gowal,et al.  Scalable Verified Training for Provably Robust Image Classification , 2019, 2019 IEEE/CVF International Conference on Computer Vision (ICCV).

[70]  Sivalogeswaran Ratnasingam,et al.  Deep Camera: A Fully Convolutional Neural Network for Image Signal Processing , 2019, 2019 IEEE/CVF International Conference on Computer Vision Workshop (ICCVW).

[71]  Klaus-Robert Müller,et al.  Resolving challenges in deep learning-based analyses of histopathological images using explanation methods , 2019, Scientific Reports.

[72]  Di Wang,et al.  Deep learning approach to peripheral leukocyte recognition , 2019, PloS one.

[73]  Yoshua Bengio,et al.  Tackling Climate Change with Machine Learning , 2019, ACM Comput. Surv..

[74]  Greg Yang,et al.  Provably Robust Deep Learning via Adversarially Trained Smoothed Classifiers , 2019, NeurIPS.

[75]  Liang Zhao,et al.  Interpreting and Evaluating Neural Network Robustness , 2019, IJCAI.

[76]  Daniel Kroening,et al.  Global Robustness Evaluation of Deep Neural Networks with Provable Guarantees for the Hamming Distance , 2019, IJCAI.

[77]  David Berthelot,et al.  MixMatch: A Holistic Approach to Semi-Supervised Learning , 2019, NeurIPS.

[78]  Aleksander Madry,et al.  Adversarial Examples Are Not Bugs, They Are Features , 2019, NeurIPS.

[79]  Andreas K. Maier,et al.  PYRO-NN: Python Reconstruction Operators in Neural Networks , 2019, Medical physics.

[80]  Quoc V. Le,et al.  Unsupervised Data Augmentation for Consistency Training , 2019, NeurIPS.

[81]  Frédo Durand,et al.  Generating Training Data for Denoising Real RGB Images via Camera Pipeline Simulation , 2019, ArXiv.

[82]  Saeed Mahmoudpour,et al.  Impact of JPEG 2000 compression on deep convolutional neural networks for metastatic cancer detection in histopathological images , 2019, Journal of medical imaging.

[83]  K. Spiekermann,et al.  Human-level recognition of blast cells in acute myeloid leukaemia with convolutional neural networks , 2019, Nature Machine Intelligence.

[84]  Alexander Binder,et al.  Unmasking Clever Hans predictors and assessing what machines really learn , 2019, Nature Communications.

[85]  Cho-Jui Hsieh,et al.  A Convex Relaxation Barrier to Tight Robustness Verification of Neural Networks , 2019, NeurIPS.

[86]  Geert J. S. Litjens,et al.  Quantifying the effects of data augmentation and stain color normalization in convolutional neural networks for computational pathology , 2019, Medical Image Anal..

[87]  Benjamin Recht,et al.  Do ImageNet Classifiers Generalize to ImageNet? , 2019, ICML.

[88]  J. Zico Kolter,et al.  Certified Adversarial Robustness via Randomized Smoothing , 2019, ICML.

[89]  Prabhat,et al.  Deep learning and process understanding for data-driven Earth system science , 2019, Nature.

[90]  Jonathan T. Barron,et al.  Unprocessing Images for Learned Raw Denoising , 2018, 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR).

[91]  Wojciech Samek,et al.  Learning the invisible: a hybrid deep learning-shearlet framework for limited angle computed tomography , 2018, Inverse Problems.

[92]  Aaron Y. Lee,et al.  Artificial intelligence and deep learning in ophthalmology , 2018, British Journal of Ophthalmology.

[93]  Michael Ying Yang,et al.  UAVid: A semantic segmentation dataset for UAV imagery , 2018 .

[94]  Yee Whye Teh,et al.  Do Deep Generative Models Know What They Don't Know? , 2018, ICLR.

[95]  Catarina Eloy,et al.  BACH: Grand Challenge on Breast Cancer Histology Images , 2018, Medical Image Anal..

[96]  Pietro Perona,et al.  Recognition in Terra Incognita , 2018, ECCV.

[97]  Kibok Lee,et al.  A Simple Unified Framework for Detecting Out-of-Distribution Samples and Adversarial Attacks , 2018, NeurIPS.

[98]  Thomas G. Dietterich,et al.  Benchmarking Neural Network Robustness to Common Corruptions and Perturbations , 2018, ICLR.

[99]  Stephen Lin,et al.  A High-Quality Denoising Dataset for Smartphone Cameras , 2018, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition.

[100]  Marek Kulbacki,et al.  Survey of Drones for Agriculture Automation from Planting to Harvest , 2018, 2018 IEEE 22nd International Conference on Intelligent Engineering Systems (INES).

[101]  Yair Weiss,et al.  Why do deep convolutional networks generalize so poorly to small image transformations? , 2018, J. Mach. Learn. Res..

[102]  S. Roth,et al.  Lightweight Probabilistic Deep Networks , 2018, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition.

[103]  Sina Honari,et al.  Distribution Matching Losses Can Hallucinate Features in Medical Image Translation , 2018, MICCAI.

[104]  Swarat Chaudhuri,et al.  AI2: Safety and Robustness Certification of Neural Networks with Abstract Interpretation , 2018, 2018 IEEE Symposium on Security and Privacy (SP).

[105]  Jia Xu,et al.  Learning to See in the Dark , 2018, 2018 IEEE/CVF Conference on Computer Vision and Pattern Recognition.

[106]  Mahdieh Poostchi,et al.  Image analysis and machine learning for detecting malaria , 2018, Translational research : the journal of laboratory and clinical medicine.

[107]  Michael Carbin,et al.  The Lottery Ticket Hypothesis: Finding Sparse, Trainable Neural Networks , 2018, ICLR.

[108]  Yu-Sheng Chen,et al.  Learning Deep Convolutional Networks for Demosaicing , 2018, ArXiv.

[109]  Maxime Pelcat,et al.  Study of the Impact of Standard Image Compression Techniques on Performance of Image Classification with a Convolutional Neural Network , 2017 .

[110]  Jaakko Lehtinen,et al.  Progressive Growing of GANs for Improved Quality, Stability, and Variation , 2017, ICLR.

[111]  Daisuke Komura,et al.  Machine Learning Methods for Histopathological Image Analysis , 2017, Computational and structural biotechnology journal.

[112]  T Terwilliger,et al.  Acute lymphoblastic leukemia: a comprehensive review and 2017 update , 2017, Blood Cancer Journal.

[113]  Lina J. Karam,et al.  A Study and Comparison of Human and Deep Learning Recognition Performance under Visual Distortions , 2017, 2017 26th International Conference on Computer Communication and Networks (ICCCN).

[114]  Bruce R. Rosen,et al.  Image reconstruction by domain-transform manifold learning , 2017, Nature.

[115]  Andy Rowlands,et al.  Physics of Digital Photography , 2017 .

[116]  Sebastian Thrun,et al.  Dermatologist-level classification of skin cancer with deep neural networks , 2017, Nature.

[117]  Charles Blundell,et al.  Simple and Scalable Predictive Uncertainty Estimation using Deep Ensembles , 2016, NIPS.

[118]  Jonathan T. Barron,et al.  Burst photography for high dynamic range and low-light imaging on mobile cameras , 2016, ACM Trans. Graph..

[119]  D. Neill,et al.  Penalized Fast Subset Scanning , 2016 .

[120]  Ferda Ofli,et al.  Combining Human Computing and Machine Learning to Make Sense of Big (Aerial) Data for Disaster Response , 2016, Big Data.

[121]  Joachim M. Buhmann,et al.  Computational Pathology: Challenges and Promises for Tissue Analysis , 2015, Comput. Medical Imaging Graph..

[122]  Jian Sun,et al.  Deep Residual Learning for Image Recognition , 2015, 2016 IEEE Conference on Computer Vision and Pattern Recognition (CVPR).

[123]  Zoubin Ghahramani,et al.  Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning , 2015, ICML.

[124]  Thomas Brox,et al.  U-Net: Convolutional Networks for Biomedical Image Segmentation , 2015, MICCAI.

[125]  Giulia Boato,et al.  RAISE: a raw images dataset for digital image forensics , 2015, MMSys.

[126]  E. Keohane,et al.  Rodak's Hematology: Clinical Principles and Applications , 2015 .

[127]  Jimmy Ba,et al.  Adam: A Method for Stochastic Optimization , 2014, ICLR.

[128]  Xiaogang Wang,et al.  Deep Learning Face Attributes in the Wild , 2014, 2015 IEEE International Conference on Computer Vision (ICCV).

[129]  Vanessa Frías-Martínez,et al.  Computational Sustainability and Artificial Intelligence in the Developing World , 2014, AI Mag..

[130]  Michael S. Bernstein,et al.  ImageNet Large Scale Visual Recognition Challenge , 2014, International Journal of Computer Vision.

[131]  Michael S. Brown,et al.  Raw-to-Raw: Mapping between Image Sensor Color Responses , 2014, 2014 IEEE Conference on Computer Vision and Pattern Recognition.

[132]  Joan Bruna,et al.  Intriguing properties of neural networks , 2013, ICLR.

[133]  Frédo Durand,et al.  Halide: a language and compiler for optimizing parallelism, locality, and recomputation in image processing pipelines , 2013, PLDI.

[134]  Steve Fotios,et al.  Measuring Colour , 2013 .

[135]  Stefan B. Williams,et al.  Spectral characterization of COTS RGB cameras using a linear variable edge filter , 2013, Electronic Imaging.

[136]  Geoffrey E. Hinton,et al.  ImageNet classification with deep convolutional neural networks , 2012, Commun. ACM.

[137]  Vincenzo Piuri,et al.  All-IDB: The acute lymphoblastic leukemia image database for image processing , 2011, 2011 18th IEEE International Conference on Image Processing.

[138]  Kosei Tamiya,et al.  Color Standardization Method and System for Whole Slide Imaging Based on Spectral Sensing , 2011, Analytical cellular pathology.

[139]  Koby Crammer,et al.  A theory of learning from different domains , 2010, Machine Learning.

[140]  Geert Verhoeven,et al.  It's all about the format – unleashing the power of RAW aerial photography , 2010 .

[141]  Erik Reinhard,et al.  Color imaging , 2009, SIGGRAPH '09.

[142]  Yoshua Bengio,et al.  Extracting and composing robust features with denoising autoencoders , 2008, ICML '08.

[143]  Lei Zhang,et al.  Image demosaicing: a systematic survey , 2008, Electronic Imaging.

[144]  Vladimir Vovk,et al.  A tutorial on conformal prediction , 2007, J. Mach. Learn. Res..

[145]  B. Bain,et al.  Diagnosis from the blood smear. , 2005, The New England journal of medicine.

[146]  Maciej Wojtkowski,et al.  Ophthalmic imaging by spectral optical coherence tomography. , 2004, American journal of ophthalmology.

[147]  Naftali Tishby,et al.  The information bottleneck method , 2000, ArXiv.

[148]  D. Dasgupta Artificial Immune Systems and Their Applications , 1998, Springer Berlin Heidelberg.

[149]  M. Makler,et al.  A review of practical techniques for the diagnosis of malaria. , 1998, Annals of tropical medicine and parasitology.

[150]  Michael D. Garris,et al.  Design, Collection, and Analysis of Handwriting Sample Image Databases , 1994 .

[151]  Ali A. Minai,et al.  Perturbation response in feed-forward neural networks , 1992, [Proceedings 1992] IJCNN International Joint Conference on Neural Networks.

[152]  Zbigniew Leonowicz,et al.  Dermatologist-Level Classification of Skin Cancer Using Cascaded Ensembling of Convolutional Neural Network and Handcrafted Features Based Deep Neural Network , 2022, IEEE Access.

[153]  Uncertainty Estimation Using a Single Deep Deterministic Neural Network-ML Reproducibility Challenge 2020 , 2021 .

[154]  Suchi Saria,et al.  Evaluating Model Robustness and Stability to Dataset Shift , 2021, AISTATS.

[155]  Abhinav Sharma,et al.  Machine Learning Applications for Precision Agriculture: A Comprehensive Review , 2021, IEEE Access.

[156]  Guy N. Rothblum,et al.  Interactive Proofs for Verifying Machine Learning , 2020, Electron. Colloquium Comput. Complex..

[157]  S. J. Jassbi,et al.  A histopathological image dataset for grading breast invasive ductal carcinomas , 2020 .

[158]  Suproteem K. Sarkar,et al.  ML4H Auditing: From Paper to Practice , 2020, ML4H@NeurIPS.

[159]  Geoffrey I. Webb,et al.  Beyond Adaptation: Understanding Distributional Changes (Dagstuhl Seminar 20372) , 2020, Dagstuhl Reports.

[160]  Hartmut Maennel Uncertainty estimates and out-of-distribution detection with Sine Networks , 2019 .

[161]  Weilin Fu,et al.  Learning with known operators reduces maximum error bounds , 2019, Nat. Mach. Intell..

[162]  Işıl Dillig,et al.  Interpretation , 1994, A Bibliography of Islamic Law, 1980-1993.

[163]  Andreas K. Maier,et al.  Synthetic Fundus Fluorescein Angiography using Deep Neural Networks , 2018, Bildverarbeitung für die Medizin.

[164]  Alex Krizhevsky,et al.  Learning Multiple Layers of Features from Tiny Images , 2009 .

[165]  B. Ripley,et al.  Robust Statistics , 2018, Encyclopedia of Mathematical Geosciences.

[166]  Yoshua Bengio,et al.  Gradient-based learning applied to document recognition , 1998, Proc. IEEE.

[167]  A. Weigend,et al.  Estimating the mean and variance of the target probability distribution , 1994, Proceedings of 1994 IEEE International Conference on Neural Networks (ICNN'94).