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Deep learning methods have become a widespread toolbox for pricing and calibration of financial models. While they often provide new directions and research results, their `black box' nature also results in a lack of interpretability. We…

Computational Finance · Quantitative Finance 2024-12-02 Bo Yuan , Damiano Brigo , Antoine Jacquier , Nicola Pede

In this review paper, we give a comprehensive overview of the large variety of approximation results for neural networks. Approximation rates for classical function spaces as well as benefits of deep neural networks over shallow ones for…

Machine Learning · Computer Science 2020-07-10 Ingo Gühring , Mones Raslan , Gitta Kutyniok

Human visual perception carves a scene at its physical joints, decomposing the world into objects, which are selectively attended, tracked, and predicted as we engage our surroundings. Object representations emancipate perception from the…

Neurons and Cognition · Quantitative Biology 2021-09-09 Benjamin Peters , Nikolaus Kriegeskorte

A novel Neural Network architecture is proposed using the mathematically and physically rich idea of vector fields as hidden layers to perform nonlinear transformations in the data. The data points are interpreted as particles moving along…

Machine Learning · Computer Science 2018-02-23 Daniel Vieira , Fabio Rangel , Fabricio Firmino , Joao Paixao

We investigate the emergence of intuitive physics understanding in general-purpose deep neural network models trained to predict masked regions in natural videos. Leveraging the violation-of-expectation framework, we find that video…

Computer Vision and Pattern Recognition · Computer Science 2025-02-18 Quentin Garrido , Nicolas Ballas , Mahmoud Assran , Adrien Bardes , Laurent Najman , Michael Rabbat , Emmanuel Dupoux , Yann LeCun

Neural networks have greatly boosted performance in computer vision by learning powerful representations of input data. The drawback of end-to-end training for maximal overall performance are black-box models whose hidden representations…

Computer Vision and Pattern Recognition · Computer Science 2020-04-29 Patrick Esser , Robin Rombach , Björn Ommer

As the success of deep models has led to their deployment in all areas of computer vision, it is increasingly important to understand how these representations work and what they are capturing. In this paper, we shed light on deep…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Christoph Feichtenhofer , Axel Pinz , Richard P. Wildes , Andrew Zisserman

We introduce NeoWorld, a deep learning framework for generating interactive 3D virtual worlds from a single input image. Inspired by the on-demand worldbuilding concept in the science fiction novel Simulacron-3 (1964), our system constructs…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Yanpeng Zhao , Shanyan Guan , Yunbo Wang , Yanhao Ge , Wei Li , Xiaokang Yang

Many phenomena in physics, including light, water waves, and sound, are described by wave equations. Given their coefficients, wave equations can be solved to high accuracy, but the presence of the wavelength scale often leads to large…

Computational Physics · Physics 2025-02-19 Timo Gahlmann , Philippe Tassin

Magic is the art of producing in the spectator an illusion of impossibility. Although the scientific study of magic is in its infancy, the advent of recent tracking algorithms based on deep learning allow now to quantify the skills of the…

Neurons and Cognition · Quantitative Biology 2019-08-21 Regina Zaghi-Lara , Miguel Ángel Gea , Jordi Camí , Luis M. Martínez , Alex Gomez-Marin

Graph Neural Networks (GNNs) have achieved significant success across various applications. However, their complex structures and inner workings can be challenging for non-AI experts to understand. To address this issue, this study presents…

Human-Computer Interaction · Computer Science 2025-12-18 Yilin Lu , Chongwei Chen , Yuxin Chen , Kexin Huang , Marinka Zitnik , Qianwen Wang

Deep neural networks (DNNs) have recently achieved impressive success across a wide range of real-world vision and language processing tasks, spanning from image classification to many other downstream vision tasks, such as object…

Machine Learning · Computer Science 2025-12-23 Xiangzhong Luo , Di Liu , Hao Kong , Shuo Huai , Hui Chen , Guochu Xiong , Weichen Liu

Image inpainting techniques have shown significant improvements by using deep neural networks recently. However, most of them may either fail to reconstruct reasonable structures or restore fine-grained textures. In order to solve this…

Computer Vision and Pattern Recognition · Computer Science 2019-08-13 Yurui Ren , Xiaoming Yu , Ruonan Zhang , Thomas H. Li , Shan Liu , Ge Li

We propose a paradigm to deep-learn the ever-expanding databases which have emerged in mathematical physics and particle phenomenology, as diverse as the statistics of string vacua or combinatorial and algebraic geometry. As concrete…

High Energy Physics - Theory · Physics 2018-03-14 Yang-Hui He

Deep neural networks (DNNs) achieve state-of-the-art performance in many vision tasks, yet understanding their internal behavior remains challenging, particularly how different layers and activation channels contribute to class…

Graphics · Computer Science 2025-05-09 Md Rahat-uz- Zaman , Bei Wang , Paul Rosen

Traditional deep learning interpretability methods which are suitable for model users cannot explain network behaviors at the global level and are inflexible at providing fine-grained explanations. As a solution, concept-based explanations…

Human-Computer Interaction · Computer Science 2022-10-26 Jinbin Huang , Aditi Mishra , Bum Chul Kwon , Chris Bryan

Deep neural networks (DNNs) are increasingly deployed in different applications to achieve state-of-the-art performance. However, they are often applied as a black box with limited understanding of what knowledge the model has learned from…

Computer Vision and Pattern Recognition · Computer Science 2021-02-09 Shihao Zhao , Xingjun Ma , Yisen Wang , James Bailey , Bo Li , Yu-Gang Jiang

How do we imagine visual objects and combine them to create new forms? To answer this question, we need to explore the cognitive, computational and neural mechanisms underlying imagery and creativity. The body of research on deep learning…

Neurons and Cognition · Quantitative Biology 2021-12-14 Shekoofeh Hedayati , Roger Beaty , Brad Wyble

Systems of interacting objects often evolve under the influence of field effects that govern their dynamics, yet previous works have abstracted away from such effects, and assume that systems evolve in a vacuum. In this work, we focus on…

Machine Learning · Computer Science 2024-03-21 Miltiadis Kofinas , Erik J. Bekkers , Naveen Shankar Nagaraja , Efstratios Gavves

Deep convolutional neural networks have achieved impressive performance on a broad range of problems, beating prior art on established benchmarks, but it often remains unclear what are the representations learnt by those systems and how…

Computer Vision and Pattern Recognition · Computer Science 2018-03-23 Sen He , Nicolas Pugeault