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In this paper, we study the sharpness of a deep learning (DL) loss landscape around local minima in order to reveal systematic mechanisms underlying the generalization abilities of DL models. Our analysis is performed across varying network…

机器学习 · 计算机科学 2022-02-07 Devansh Bisla , Jing Wang , Anna Choromanska

There has been a lot of recent interest in trying to characterize the error surface of deep models. This stems from a long standing question. Given that deep networks are highly nonlinear systems optimized by local gradient methods, why do…

机器学习 · 统计学 2017-02-20 Grzegorz Swirszcz , Wojciech Marian Czarnecki , Razvan Pascanu

Many high-dimensional optimisation problems exhibit rich geometric structures in their set of minimisers, often forming smooth manifolds due to over-parametrisation or symmetries. When this structure is known, at least locally, it can be…

最优化与控制 · 数学 2025-10-27 Evan Markou , Thalaiyasingam Ajanthan , Stephen Gould

Objective functions that optimize deep neural networks play a vital role in creating an enhanced feature representation of the input data. Although cross-entropy-based loss formulations have been extensively used in a variety of supervised…

计算机视觉与模式识别 · 计算机科学 2023-12-19 Deen Dayal Mohan , Bhavin Jawade , Srirangaraj Setlur , Venu Govindaraj

Deep learning involves navigating a high-dimensional loss landscape over the neural network parameter space. Over the course of training, complex computational structures form and re-form inside the neural network, leading to shifts in…

机器学习 · 计算机科学 2025-08-04 Jesse Hoogland , George Wang , Matthew Farrugia-Roberts , Liam Carroll , Susan Wei , Daniel Murfet

Recent analyses of certain gradient descent optimization methods have shown that performance can degrade in some settings - such as with stochasticity or implicit momentum. In deep reinforcement learning (Deep RL), such optimization methods…

机器学习 · 计算机科学 2018-10-08 Peter Henderson , Joshua Romoff , Joelle Pineau

The proliferation of deepfake faces poses huge potential negative impacts on our daily lives. Despite substantial advancements in deepfake detection over these years, the generalizability of existing methods against forgeries from unseen…

计算机视觉与模式识别 · 计算机科学 2025-04-14 Kaiqing Lin , Yuzhen Lin , Weixiang Li , Taiping Yao , Bin Li

How to train deep neural networks (DNNs) to generalize well is a central concern in deep learning, especially for severely overparameterized networks nowadays. In this paper, we propose an effective method to improve the model…

机器学习 · 计算机科学 2022-06-28 Yang Zhao , Hao Zhang , Xiuyuan Hu

This paper presents a deep learning-based de-homogenization method for structural compliance minimization. By using a convolutional neural network to parameterize the mapping from a set of lamination parameters on a coarse mesh to a…

机器学习 · 计算机科学 2021-11-03 Martin O. Elingaard , Niels Aage , J. Andreas Bærentzen , Ole Sigmund

In recent years, deep learning has achieved remarkable success in various fields such as image recognition, natural language processing, and speech recognition. The effectiveness of deep learning largely depends on the optimization methods…

机器学习 · 计算机科学 2023-04-25 David Shulman

The superior performance of Deformable Convolutional Networks arises from its ability to adapt to the geometric variations of objects. Through an examination of its adaptive behavior, we observe that while the spatial support for its neural…

计算机视觉与模式识别 · 计算机科学 2018-11-29 Xizhou Zhu , Han Hu , Stephen Lin , Jifeng Dai

Sparse depth measurements are widely available in many applications such as augmented reality, visual inertial odometry and robots equipped with low cost depth sensors. Although such sparse depth samples work well for certain applications…

计算机视觉与模式识别 · 计算机科学 2021-12-13 Bing Zhou , Matias Aiskovich , Sinem Guven

Distributed training in deep learning (DL) is common practice as data and models grow. The current practice for distributed training of deep neural networks faces the challenges of communication bottlenecks when operating at scale, and…

机器学习 · 计算机科学 2020-12-21 Shubhankar Gahlot , Junqi Yin , Mallikarjun Shankar

The task of shape abstraction with semantic part consistency is challenging due to the complex geometries of natural objects. Recent methods learn to represent an object shape using a set of simple primitives to fit the target.…

计算机视觉与模式识别 · 计算机科学 2023-09-06 Di Liu , Long Zhao , Qilong Zhangli , Yunhe Gao , Ting Liu , Dimitris N. Metaxas

We propose a weakly-supervised multi-view learning approach to learn category-specific surface mapping without dense annotations. We learn the underlying surface geometry of common categories, such as human faces, cars, and airplanes, given…

计算机视觉与模式识别 · 计算机科学 2021-05-05 Nishant Rai , Aidas Liaudanskas , Srinivas Rao , Rodrigo Ortiz Cayon , Matteo Munaro , Stefan Holzer

Data-driven deep learning approaches to image registration can be less accurate than conventional iterative approaches, especially when training data is limited. To address this whilst retaining the fast inference speed of deep learning, we…

Deep learning based localization and mapping approaches have recently emerged as a new research direction and receive significant attentions from both industry and academia. Instead of creating hand-designed algorithms based on physical…

计算机视觉与模式识别 · 计算机科学 2023-08-29 Changhao Chen , Bing Wang , Chris Xiaoxuan Lu , Niki Trigoni , Andrew Markham

In deep learning, optimization plays a vital role. By focusing on image classification, this work investigates the pros and cons of the widely used optimizers, and proposes a new optimizer: Perturbated Unit Gradient Descent (PUGD) algorithm…

机器学习 · 计算机科学 2022-11-10 Ching-Hsun. Tseng , Liu-Hsueh. Cheng , Shin-Jye. Lee , Xiaojun Zeng

Normalization methods play an important role in enhancing the performance of deep learning while their theoretical understandings have been limited. To theoretically elucidate the effectiveness of normalization, we quantify the geometry of…

机器学习 · 统计学 2019-10-29 Ryo Karakida , Shotaro Akaho , Shun-ichi Amari

Recent numerical experiments have demonstrated that the choice of optimization geometry used during training can impact generalization performance when learning expressive nonlinear model classes such as deep neural networks. These…

机器学习 · 计算机科学 2022-04-25 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine