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Deep Learning (1807.07987v2)

Published 20 Jul 2018 in stat.ML and cs.LG

Abstract: Deep learning (DL) is a high dimensional data reduction technique for constructing high-dimensional predictors in input-output models. DL is a form of machine learning that uses hierarchical layers of latent features. In this article, we review the state-of-the-art of deep learning from a modeling and algorithmic perspective. We provide a list of successful areas of applications in AI, Image Processing, Robotics and Automation. Deep learning is predictive in its nature rather then inferential and can be viewed as a black-box methodology for high-dimensional function estimation.

Deep Learning: A Review of its Modeling, Algorithmic Aspects, and Applications

Deep learning (DL) represents a significant paradigm within machine learning, characterized by its capacity for high-dimensional data reduction and the construction of sophisticated predictors in complex input-output models. At its core, DL employs hierarchical layers of latent features to learn representations from data. This article synthesizes the fundamental aspects of deep learning, focusing on its modeling and algorithmic underpinnings, its inherent predictive nature, and its diverse applications across various scientific and engineering domains.

Modeling and Algorithmic Foundations

From a modeling perspective, deep learning is fundamentally concerned with the estimation of high-dimensional functions. It achieves this by learning a hierarchy of representations, or features, where higher-level features are derived from lower-level ones. This hierarchical structure allows DL models to automatically discover the intricate patterns and dependencies within large datasets without explicit feature engineering. The construction of high-dimensional predictors in input-output models is a central theme. These models typically involve a series of transformations, often non-linear, applied sequentially to the input data. Each layer in a deep neural network, for instance, can be viewed as learning a new representation of its input, progressively abstracting and disentangling the underlying factors of variation.

Algorithmically, deep learning relies heavily on optimization techniques, primarily variants of stochastic gradient descent (SGD), to tune the vast number of parameters inherent in these models. The backpropagation algorithm is a cornerstone, enabling the efficient computation of gradients through the network, which are then used to update model weights. The design of network architectures, including the choice of activation functions (e.g., ReLU, sigmoid, tanh), layer types (e.g., convolutional, recurrent, fully connected, attention mechanisms), and regularization strategies (e.g., L1/L2 regularization, dropout, batch normalization), are critical algorithmic considerations that significantly impact model performance and generalization capabilities. The scalability of these algorithms to handle massive datasets and model sizes, often facilitated by specialized hardware like GPUs and TPUs, is also a key aspect of modern deep learning practice.

Predictive Nature and High-Dimensional Function Estimation

Deep learning is primarily predictive in its nature rather than inferential. The primary objective is to achieve high accuracy in predicting outputs given new inputs, often at the expense of model interpretability. While inferential statistics aims to understand the relationships between variables and draw conclusions about underlying populations, deep learning focuses on building models that can make accurate forecasts or classifications. This predictive power stems from its ability to approximate highly complex, non-linear functions that map high-dimensional input spaces to output spaces.

Consequently, deep learning methodologies can often be viewed as "black-box" techniques for high-dimensional function estimation. The internal workings and the specific features learned by intermediate layers can be opaque and difficult to interpret directly in terms of human-understandable concepts. Despite this, their empirical success in capturing intricate patterns that elude traditional statistical models has made them indispensable for tasks where predictive accuracy is paramount. Research into interpretability and explainable AI (XAI) is an active area attempting to mitigate this black-box characteristic, but the fundamental strength of DL lies in its predictive capacity derived from its flexible function approximation capabilities.

Applications Across Diverse Domains

The utility of deep learning has been demonstrated across a multitude of fields, leading to significant advancements.

AI

In the broader field of Artificial Intelligence, deep learning has been instrumental in achieving human-level or even superhuman performance in tasks previously considered intractable. This includes areas such as NLP, where models like Transformers have revolutionized machine translation, text generation, sentiment analysis, and question answering. In reinforcement learning, deep Q-networks (DQNs) and actor-critic methods have enabled agents to learn complex policies for game playing (e.g., Go, chess, video games) and control tasks.

Image Processing

Image processing has been one of the most prominent areas of success for deep learning. Convolutional Neural Networks (CNNs) have become the de facto standard for tasks such as image classification, object detection, semantic segmentation, image generation (e.g., using Generative Adversarial Networks - GANs), and medical image analysis. The ability of CNNs to learn hierarchical visual features directly from pixel data has led to breakthroughs in an array of applications, from autonomous driving to diagnostic imaging.

Robotics and Automation

In robotics and automation, deep learning is increasingly used for perception, control, and decision-making. Robots equipped with deep learning models can better understand their environment through visual or other sensory inputs, enabling more robust navigation, object manipulation, and human-robot interaction. Deep reinforcement learning, in particular, is being explored for teaching robots complex motor skills and to adapt to dynamic environments. Automated systems in manufacturing, logistics, and other industries leverage DL for quality control, predictive maintenance, and process optimization.

Conclusion

In summary, deep learning has established itself as a powerful high-dimensional data reduction technique integral to modern machine learning and artificial intelligence. Its reliance on hierarchical layers of latent features enables the construction of potent high-dimensional predictors for complex input-output systems. While primarily predictive and often operating as a black-box for high-dimensional function estimation, its demonstrable success across AI, image processing, robotics, and automation underscores its significance and continued potential for future advancements.

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Authors (2)
  1. Nicholas G. Polson (49 papers)
  2. Vadim O. Sokolov (4 papers)
Citations (1)