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Recent advances in deep learning theory have evoked the study of generalizability across different local minima of deep neural networks (DNNs). While current work focused on either discovering properties of good local minima or developing…

机器学习 · 计算机科学 2020-07-01 Zhiwei Jia , Hao Su

The emergence of deep-learning-based methods to solve image-reconstruction problems has enabled a significant increase in reconstruction quality. Unfortunately, these new methods often lack reliability and explainability, and there is a…

图像与视频处理 · 电气工程与系统科学 2023-08-28 Alexis Goujon , Sebastian Neumayer , Pakshal Bohra , Stanislas Ducotterd , Michael Unser

When approaching the semantic segmentation of overhead imagery in the decimeter spatial resolution range, successful strategies usually combine powerful methods to learn the visual appearance of the semantic classes (e.g. convolutional…

计算机视觉与模式识别 · 计算机科学 2018-08-24 Michele Volpi , Devis Tuia

The objective of deep metric learning (DML) is to learn embeddings that can capture semantic similarity and dissimilarity information among data points. Existing pairwise or tripletwise loss functions used in DML are known to suffer from…

计算机视觉与模式识别 · 计算机科学 2021-03-22 Xinshao Wang , Yang Hua , Elyor Kodirov , Neil M. Robertson

This paper describes deep learning models based on convolutional neural networks applied to the problem of predicting EM wave propagation over rural terrain. A surface integral equation formulation, solved with the method of moments and…

机器学习 · 计算机科学 2023-02-03 Conor Brennan , Kevin McGuinness

The lack of mathematical tractability of Deep Neural Networks (DNNs) has hindered progress towards having a unified convergence analysis of training algorithms, in the general setting. We propose a unified optimization framework for…

机器学习 · 计算机科学 2018-05-24 Hadi Ghauch , Hossein Shokri-Ghadikolaei , Carlo Fischione , Mikael Skoglund

We explore unique considerations involved in fitting ML models to data with very high precision, as is often required for science applications. We empirically compare various function approximation methods and study how they scale with…

机器学习 · 计算机科学 2023-02-01 Eric J. Michaud , Ziming Liu , Max Tegmark

While deep learning is successful in a number of applications, it is not yet well understood theoretically. A satisfactory theoretical characterization of deep learning however, is beginning to emerge. It covers the following questions: 1)…

机器学习 · 计算机科学 2019-08-27 Tomaso Poggio , Andrzej Banburski , Qianli Liao

Hyperparameter optimization is both a practical issue and an interesting theoretical problem in training of deep architectures. Despite many recent advances the most commonly used methods almost universally involve training multiple and…

机器学习 · 计算机科学 2019-09-10 Vlad Pushkarov , Jonathan Efroni , Mykola Maksymenko , Maciej Koch-Janusz

Deep learning methods minimise the empirical risk using loss functions such as the cross entropy loss. When minimising the empirical risk, the generalisation of the learnt function still depends on the performance on the training data, the…

机器学习 · 计算机科学 2022-01-19 Antonio Jimeno Yepes

In this paper we explore the relation between distributionally robust learning and different forms of regularization to enforce robustness of deep neural networks. In particular, starting from a concrete min-max distributionally robust…

最优化与控制 · 数学 2022-03-29 Camilo Garcia Trillos , Nicolas Garcia Trillos

In this work we study generalization of neural networks in gradient-based meta-learning by analyzing various properties of the objective landscapes. We experimentally demonstrate that as meta-training progresses, the meta-test solutions,…

机器学习 · 计算机科学 2019-07-18 Simon Guiroy , Vikas Verma , Christopher Pal

In this paper we develop a new perspective on generalization of neural networks by proposing and investigating the concept of a neural network stiffness. We measure how stiff a network is by looking at how a small gradient step in the…

机器学习 · 计算机科学 2020-03-17 Stanislav Fort , Paweł Krzysztof Nowak , Stanislaw Jastrzebski , Srini Narayanan

In many contexts, customized and weighted classification scores are designed in order to evaluate the goodness of the predictions carried out by neural networks. However, there exists a discrepancy between the maximization of such scores…

机器学习 · 计算机科学 2023-05-24 Francesco Marchetti , Sabrina Guastavino , Cristina Campi , Federico Benvenuto , Michele Piana

Continual learning of deep neural networks is a key requirement for scaling them up to more complex applicative scenarios and for achieving real lifelong learning of these architectures. Previous approaches to the problem have considered…

机器学习 · 计算机科学 2020-06-25 Jary Pomponi , Simone Scardapane , Vincenzo Lomonaco , Aurelio Uncini

Deep networks are an integral part of the current machine learning paradigm. Their inherent ability to learn complex functional mappings between data and various target variables, while discovering hidden, task-driven features, makes them a…

计算机视觉与模式识别 · 计算机科学 2019-06-14 Riddhish Bhalodia , Shireen Elhabian , Ladislav Kavan , Ross Whitaker

Deep neural networks are transforming fields ranging from computer vision to computational medicine, and we recently extended their application to the field of phase-change heat transfer by introducing theory-trained neural networks (TTNs)…

机器学习 · 计算机科学 2021-02-11 M. Torabi Rad , A. Viardin , M. Apel

In an attempt to better understand generalization in deep learning, we study several possible explanations. We show that implicit regularization induced by the optimization method is playing a key role in generalization and success of deep…

机器学习 · 计算机科学 2017-09-11 Behnam Neyshabur

In this paper, we explore the application of mean field theory, a technique from statistical physics, to deep metric learning and address the high training complexity commonly associated with conventional metric learning loss functions. By…

机器学习 · 计算机科学 2023-06-28 Takuya Furusawa

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
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