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As an agent moves through the world, the apparent motion of scene elements is (usually) inversely proportional to their depth. It is natural for a learning agent to associate image patterns with the magnitude of their displacement over…

Computer Vision and Pattern Recognition · Computer Science 2018-04-03 Huaizu Jiang , Erik Learned-Miller , Gustav Larsson , Michael Maire , Greg Shakhnarovich

The de facto algorithm for training the back pass of a feedforward neural network is backpropagation (BP). The use of almost-everywhere differentiable activation functions made it efficient and effective to propagate the gradient backwards…

Neural and Evolutionary Computing · Computer Science 2022-06-14 John Waldo

We present algorithms that learn certain classes of function-free recursive logic programs in polynomial time from equivalence queries. In particular, we show that a single k-ary recursive constant-depth determinate clause is learnable.…

Artificial Intelligence · Computer Science 2014-11-17 W. W. Cohen

Neural networks have become an increasingly popular tool for solving many real-world problems. They are a general framework for differentiable optimization which includes many other machine learning approaches as special cases. In this…

Machine Learning · Computer Science 2019-07-22 Bruno Gavranović

The advent of deep learning has yielded powerful tools to automatically compute gradients of computations. This is because training a neural network equates to iteratively updating its parameters using gradient descent to find the minimum…

Data Analysis, Statistics and Probability · Physics 2023-03-01 Nathan Simpson , Lukas Heinrich

Self-attention mechanisms have revolutionised deep learning architectures, yet their core mathematical structures remain incompletely understood. In this work, we develop a category-theoretic framework focusing on the linear components of…

Machine Learning · Computer Science 2025-01-15 Charles O'Neill

Deep optical optimization has recently emerged as a new paradigm for designing computational imaging systems using only the output image as the objective. However, it has been limited to either simple optical systems consisting of a single…

Computer Vision and Pattern Recognition · Computer Science 2024-08-08 Xinge Yang , Qiang Fu , Wolfgang Heidrich

This work is a rigorous development of a complete and general-purpose deep learning framework from the ground up. The fundamental components of deep learning - automatic differentiation and gradient methods of optimizing multivariable…

Mathematical Software · Computer Science 2020-11-18 Andrei Nicolae

The backpropagation algorithm, or backprop, is a widely utilized optimization technique in deep learning. While there's growing evidence suggesting that models trained with backprop can accurately explain neuronal data, no backprop-like…

Machine Learning · Computer Science 2024-05-28 Gananath R

Drawing inspiration from gradient-based meta-learning methods with infinitely small gradient steps, we introduce Continuous-Time Meta-Learning (COMLN), a meta-learning algorithm where adaptation follows the dynamics of a gradient vector…

Machine Learning · Computer Science 2022-03-04 Tristan Deleu , David Kanaa , Leo Feng , Giancarlo Kerg , Yoshua Bengio , Guillaume Lajoie , Pierre-Luc Bacon

Depth estimation plays a pivotal role in advancing human-robot interactions, especially in indoor environments where accurate 3D scene reconstruction is essential for tasks like navigation and object handling. Monocular depth estimation,…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Siddiqui Muhammad Yasir , Hyunsik Ahn

Machine unlearning (MU) has emerged to enhance the privacy and trustworthiness of deep neural networks. Approximate MU is a practical method for large-scale models. Our investigation into approximate MU starts with identifying the steepest…

Machine Learning · Computer Science 2024-10-01 Zhehao Huang , Xinwen Cheng , JingHao Zheng , Haoran Wang , Zhengbao He , Tao Li , Xiaolin Huang

Deep learning is the mainstream technique for many machine learning tasks, including image recognition, machine translation, speech recognition, and so on. It has outperformed conventional methods in various fields and achieved great…

Machine Learning · Computer Science 2018-06-01 Na Lei , Zhongxuan Luo , Shing-Tung Yau , David Xianfeng Gu

In existing mobile network systems, the data plane (DP) is mainly considered a pipeline consisting of network elements end-to-end forwarding user data traffics. With the rapid maturity of programmable network devices, however, mobile…

Networking and Internet Architecture · Computer Science 2022-11-15 Jia He , Huanzhuo Wu , Xun Xiao , Riccardo Bassoli , Frank H. P. Fitzek

A reflex is a simple closed loop control approach which tries to minimise an error but fails to do so because it will always react too late. An adaptive algorithm can use this error to learn a forward model with the help of predictive cues.…

Machine Learning · Computer Science 2020-01-14 Sama Daryanavard , Bernd Porr

In this effort we propose a novel approach for reconstructing multivariate functions from training data, by identifying both a suitable network architecture and an initialization using polynomial-based approximations. Training deep neural…

Machine Learning · Computer Science 2019-05-29 Joseph Daws , Clayton G. Webster

Relative-depth foundation models transfer well, yet monocular metric depth remains ill-posed due to unidentifiable global scale and heightened domain-shift sensitivity. Under a frozen-backbone calibration setting, we recover metric depth…

Computer Vision and Pattern Recognition · Computer Science 2026-01-12 Mingxia Zhan , Li Zhang , Beibei Wang , Yingjie Wang , Zenglin Shi

We consider supervised learning with $n$ labels and show that layerwise SGD on residual networks can efficiently learn a class of hierarchical models. This model class assumes the existence of an (unknown) label hierarchy $L_1 \subseteq L_2…

Machine Learning · Computer Science 2026-01-05 Amit Daniely

In the past decade, deep learning became the prevalent methodology for predictive modeling thanks to the remarkable accuracy of deep neural networks in tasks such as computer vision and natural language processing. Meanwhile, the structure…

Optimization and Control · Mathematics 2025-09-16 Joey Huchette , Gonzalo Muñoz , Thiago Serra , Calvin Tsay

In deep learning, a central issue is to understand how neural networks efficiently learn high-dimensional features. To this end, we explore the gradient descent learning of a general Gaussian Multi-index model…

Machine Learning · Statistics 2026-02-06 Bohan Zhang , Zihao Wang , Hengyu Fu , Jason D. Lee