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The inability of artificial neural networks to assess the uncertainty of their predictions is an impediment to their widespread use. We distinguish two types of learnable uncertainty: model uncertainty due to a lack of training data and…

Machine Learning · Computer Science 2022-06-14 Hans Weytjens , Jochen De Weerdt

Deep neural networks provide flexible frameworks for learning data representations and functions relating data to other properties and are often claimed to achieve 'super-human' performance in inferring relationships between input data and…

Materials Science · Physics 2021-05-26 Keith T. Butler , Manh Duc Le , Jeyarajan Thiyagalingam , Toby G. Perring

Advancements in artificial intelligence call for a deeper understanding of the fundamental mechanisms underlying deep learning. In this work, we propose a theoretical framework to analyze learning dynamics through the lens of dynamical…

Machine Learning · Computer Science 2025-10-13 Yuchen Lin , Yong Zhang , Sihan Feng , Hong Zhao

Hypernetworks, or hypernets for short, are neural networks that generate weights for another neural network, known as the target network. They have emerged as a powerful deep learning technique that allows for greater flexibility,…

Machine Learning · Computer Science 2025-01-03 Vinod Kumar Chauhan , Jiandong Zhou , Ping Lu , Soheila Molaei , David A. Clifton

We analyze the expressivity of a universal deep neural network that can be organized as a series of nested qubit rotations, accomplished by adjustable data re-uploads. While the maximal expressive power increases with the depth of the…

Quantum Physics · Physics 2023-11-13 Iván Panadero , Yue Ban , Hilario Espinós , Ricardo Puebla , Jorge Casanova , Erik Torrontegui

There are two major approaches to building good machine learning algorithms: feeding lots of data into large models, or picking a model class with an ''inductive bias'' that suits the structure of the data. When taking the second approach…

Quantum Physics · Physics 2023-12-08 Kaitlin Gili , Guillermo Alonso , Maria Schuld

Accurate molecular force fields are of paramount importance for the efficient implementation of molecular dynamics techniques at large scales. In the last decade, machine learning methods have demonstrated impressive performances in…

Quantum Physics · Physics 2022-07-22 Oriel Kiss , Francesco Tacchino , Sofia Vallecorsa , Ivano Tavernelli

Neuroscientists have long criticised deep learning algorithms as incompatible with current knowledge of neurobiology. We explore more biologically plausible versions of deep representation learning, focusing here mostly on unsupervised…

Machine Learning · Computer Science 2016-08-10 Yoshua Bengio , Dong-Hyun Lee , Jorg Bornschein , Thomas Mesnard , Zhouhan Lin

Quantum machine learning promises great speedups over classical algorithms, but it often requires repeated computations to achieve a desired level of accuracy for its point estimates. Bayesian learning focuses more on sampling from…

Quantum Physics · Physics 2021-07-21 Noah Berner , Vincent Fortuin , Jonas Landman

The mechanism governing the training dynamics of Quantum Neural Networks (QNNs) remains under-explored. In classical Deep Neural Networks (DNNs), training is dominated by "Spectral Bias," i.e. prioritizing learning low-frequency components…

Quantum Physics · Physics 2025-12-25 Yi-hang Xu , Dan-Bo Zhang , Junchi Yan

In active learning, the size and complexity of the training dataset changes over time. Simple models that are well specified by the amount of data available at the start of active learning might suffer from bias as more points are actively…

Machine Learning · Computer Science 2022-05-05 Chelsea Murray , James U. Allingham , Javier Antorán , José Miguel Hernández-Lobato

Vision-brain understanding aims to extract semantic information about brain signals from human perceptions. Existing deep learning methods for vision-brain understanding are usually introduced in a traditional learning paradigm missing the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-15 Hoang-Quan Nguyen , Xuan-Bac Nguyen , Hugh Churchill , Arabinda Kumar Choudhary , Pawan Sinha , Samee U. Khan , Khoa Luu

Quantum computing is a new computational paradigm that promises applications in several fields, including machine learning. In the last decade, deep learning, and in particular Convolutional neural networks (CNN), have become essential for…

Quantum Physics · Physics 2021-06-14 Iordanis Kerenidis , Jonas Landman , Anupam Prakash

Binary Neural Networks (BiNNs), which employ single-bit precision weights, have emerged as a promising solution to reduce memory usage and power consumption while maintaining competitive performance in large-scale systems. However, training…

Quantum Physics · Physics 2025-11-18 Luca Nepote , Alix Lhéritier , Nicolas Bondoux , Marios Kountouris , Maurizio Filippone

The classical limit of quantum mechanics, formally investigated through frameworks like strict deformation quantization, remains a profound area of inquiry in the philosophy of physics. This paper explores a computational approach employing…

Quantum Physics · Physics 2025-04-16 Kamran Majid

The Heisenberg uncertainty principle is one of the most famous features of quantum mechanics. However, the non-determinism implied by the Heisenberg uncertainty principle --- together with other prominent aspects of quantum mechanics such…

Quantum Physics · Physics 2022-11-23 Adam Brandenburger , Pierfrancesco La Mura

Neural networks are typically trained with a single learning rate across all layers. While recent empirical evidence suggests that assigning layer-specific learning rates can accelerate training, a principled understanding of the conditions…

Machine Learning · Computer Science 2026-05-26 Sihan Zeng , Sujay Bhatt , Sumitra Ganesh

Deep Neural Networks miss a principled model of their operation. A novel framework for supervised learning based on Topological Quantum Field Theory that looks particularly well suited for implementation on quantum processors has been…

Recent progress in applying complex network theory to problems in quantum information has resulted in a beneficial crossover. Complex network methods have successfully been applied to transport and entanglement models while information…

Quantum Physics · Physics 2019-05-22 Jacob Biamonte , Mauro Faccin , Manlio De Domenico

This work presents a quantum convolutional neural network (QCNN) for the classification of high energy physics events. The proposed model is tested using a simulated dataset from the Deep Underground Neutrino Experiment. The proposed…

Machine Learning · Computer Science 2020-12-23 Samuel Yen-Chi Chen , Tzu-Chieh Wei , Chao Zhang , Haiwang Yu , Shinjae Yoo