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Many training methods, such as Adam(W) and Shampoo, learn a positive-definite curvature matrix and apply an inverse root before preconditioning. Recently, non-diagonal training methods, such as Shampoo, have gained significant attention;…

Machine Learning · Statistics 2025-03-31 Wu Lin , Felix Dangel , Runa Eschenhagen , Juhan Bae , Richard E. Turner , Roger B. Grosse

Neural Radiance Fields (NeRFs) have proven to be powerful 3D representations, capable of high quality novel view synthesis of complex scenes. While NeRFs have been applied to graphics, vision, and robotics, problems with slow rendering…

Computer Vision and Pattern Recognition · Computer Science 2023-10-30 Tristan Aumentado-Armstrong , Ashkan Mirzaei , Marcus A. Brubaker , Jonathan Kelly , Alex Levinshtein , Konstantinos G. Derpanis , Igor Gilitschenski

This paper provides a review and commentary on the past, present, and future of numerical optimization algorithms in the context of machine learning applications. Through case studies on text classification and the training of deep neural…

Machine Learning · Statistics 2018-02-12 Léon Bottou , Frank E. Curtis , Jorge Nocedal

Neural fields have emerged as a new paradigm for representing signals, thanks to their ability to do it compactly while being easy to optimize. In most applications, however, neural fields are treated like black boxes, which precludes many…

Computer Vision and Pattern Recognition · Computer Science 2023-02-10 Guandao Yang , Sagie Benaim , Varun Jampani , Kyle Genova , Jonathan T. Barron , Thomas Funkhouser , Bharath Hariharan , Serge Belongie

Recently mean field theory has been successfully used to analyze properties of wide, random neural networks. It gave rise to a prescriptive theory for initializing feed-forward neural networks with orthogonal weights, which ensures that…

Machine Learning · Statistics 2019-06-05 Piotr A. Sokol , Il Memming Park

Neural radiance fields (NeRFs) have emerged as a prominent pre-training paradigm for vision-centric autonomous driving, which enhances 3D geometry and appearance understanding in a fully self-supervised manner. To apply NeRF-based…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Hyeonjun Jeong , Juyeb Shin , Dongsuk Kum

Neural distance fields (NDF) have emerged as a powerful tool for addressing challenges in 3D computer vision and graphics downstream problems. While significant progress has been made to learn NDF from various kind of sensor data, a crucial…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Akshit Singh , Karan Bhakuni , Rajendra Nagar

This paper explores challenges in training Physics-Informed Neural Networks (PINNs), emphasizing the role of the loss landscape in the training process. We examine difficulties in minimizing the PINN loss function, particularly due to…

Machine Learning · Computer Science 2024-06-05 Pratik Rathore , Weimu Lei , Zachary Frangella , Lu Lu , Madeleine Udell

Neural Radiance Fields (NeRF) have emerged as a powerful approach for photorealistic 3D reconstruction from multi-view images. However, deploying NeRF for satellite imagery remains challenging. Each scene requires individual training, and…

Computer Vision and Pattern Recognition · Computer Science 2026-03-20 Devjyoti Chakraborty , Zaki Sukma , Rakandhiya D. Rachmanto , Kriti Ghosh , In Kee Kim , Suchendra M. Bhandarkar , Lakshmish Ramaswamy , Nancy K. O'Hare , Deepak Mishra

We present animatable neural radiance fields (animatable NeRF) for detailed human avatar creation from monocular videos. Our approach extends neural radiance fields (NeRF) to the dynamic scenes with human movements via introducing explicit…

Computer Vision and Pattern Recognition · Computer Science 2021-09-08 Jianchuan Chen , Ying Zhang , Di Kang , Xuefei Zhe , Linchao Bao , Xu Jia , Huchuan Lu

The ability to train large-scale neural networks has resulted in state-of-the-art performance in many areas of computer vision. These results have largely come from computational break throughs of two forms: model parallelism, e.g. GPU…

Computer Vision and Pattern Recognition · Computer Science 2013-12-24 Thomas Paine , Hailin Jin , Jianchao Yang , Zhe Lin , Thomas Huang

Over the years, computer vision researchers have spent an immense amount of effort on designing image features for the visual object recognition task. We propose to incorporate this valuable experience to guide the task of training deep…

Computer Vision and Pattern Recognition · Computer Science 2016-11-15 Ming-Yu Liu , Arun Mallya , Oncel C. Tuzel , Xi Chen

First-order stochastic optimization methods are currently the most widely used class of methods for training deep neural networks. However, the choice of the optimizer has become an ad-hoc rule that can significantly affect the performance.…

Machine Learning · Computer Science 2020-10-21 Samy Jelassi , Aaron Defazio

Classical numerical methods for solving partial differential equations suffer from the curse dimensionality mainly due to their reliance on meticulously generated spatio-temporal grids. Inspired by modern deep learning based techniques for…

Machine Learning · Statistics 2018-04-20 Maziar Raissi

In this work, we introduce SCALAR-NeRF, a novel framework tailored for scalable large-scale neural scene reconstruction. We structure the neural representation as an encoder-decoder architecture, where the encoder processes 3D point…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Yu Chen , Gim Hee Lee

Second-order methods are emerging as promising alternatives to standard first-order optimizers such as gradient descent and ADAM for training neural networks. Though the advantages of including curvature information in computing…

Machine Learning · Computer Science 2025-10-15 Conor Rowan

For most deep learning algorithms training is notoriously time consuming. Since most of the computation in training neural networks is typically spent on floating point multiplications, we investigate an approach to training that eliminates…

Machine Learning · Computer Science 2016-02-29 Zhouhan Lin , Matthieu Courbariaux , Roland Memisevic , Yoshua Bengio

Neural radiance fields (NeRFs) produce state-of-the-art view synthesis results. However, they are slow to render, requiring hundreds of network evaluations per pixel to approximate a volume rendering integral. Baking NeRFs into explicit…

Computer Vision and Pattern Recognition · Computer Science 2022-05-11 Benjamin Attal , Jia-Bin Huang , Michael Zollhoefer , Johannes Kopf , Changil Kim

Neural networks have a number of shortcomings. Amongst the severest ones is the sensitivity to distribution shifts which allows models to be easily fooled into wrong predictions by small perturbations to inputs that are often imperceivable…

Computer Vision and Pattern Recognition · Computer Science 2023-03-23 Paul Gavrikov , Janis Keuper , Margret Keuper

Numerous empirical evidence has corroborated that the noise plays a crucial rule in effective and efficient training of neural networks. The theory behind, however, is still largely unknown. This paper studies this fundamental problem…

Machine Learning · Computer Science 2019-09-10 Mo Zhou , Tianyi Liu , Yan Li , Dachao Lin , Enlu Zhou , Tuo Zhao
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