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Deep neural networks (DNNs) are widely used as surrogate models in geophysical applications; incorporating theoretical guidance into DNNs has improved the generalizability. However, most of such approaches define the loss function based on…

Machine Learning · Computer Science 2021-09-28 Rui Xu , Dongxiao Zhang , Miao Rong , Nanzhe Wang

Deep matrix factorizations (deep MFs) are recent unsupervised data mining techniques inspired by constrained low-rank approximations. They aim to extract complex hierarchies of features within high-dimensional datasets. Most of the loss…

Machine Learning · Computer Science 2023-01-26 Pierre De Handschutter , Nicolas Gillis

Few-shot learning (FSL) has attracted increasing attention in recent years but remains challenging, due to the intrinsic difficulty in learning to generalize from a few examples. This paper proposes an adaptive margin principle to improve…

Computer Vision and Pattern Recognition · Computer Science 2020-05-29 Aoxue Li , Weiran Huang , Xu Lan , Jiashi Feng , Zhenguo Li , Liwei Wang

We introduce a temperature into the exponential function and replace the softmax output layer of neural nets by a high temperature generalization. Similarly, the logarithm in the log loss we use for training is replaced by a low temperature…

Machine Learning · Computer Science 2019-09-24 Ehsan Amid , Manfred K. Warmuth , Rohan Anil , Tomer Koren

Few-shot image classification remains challenging due to the scarcity of labeled training examples. Augmenting them with synthetic data has emerged as a promising way to alleviate this issue, but models trained on synthetic samples often…

Machine Learning · Computer Science 2025-06-26 Lan-Cuong Nguyen , Quan Nguyen-Tri , Bang Tran Khanh , Dung D. Le , Long Tran-Thanh , Khoat Than

There is growing evidence that converting targets to soft targets in supervised learning can provide considerable gains in performance. Much of this work has considered classification, converting hard zero-one values to soft labels---such…

Machine Learning · Statistics 2018-06-13 Ehsan Imani , Martha White

A major challenge in understanding the generalization of deep learning is to explain why (stochastic) gradient descent can exploit the network architecture to find solutions that have good generalization performance when using high capacity…

Machine Learning · Computer Science 2019-02-12 Yifan Wu , Barnabas Poczos , Aarti Singh

A stream of algorithmic advances has steadily increased the popularity of the Bayesian approach as an inference paradigm, both from the theoretical and applied perspective. Even with apparent successes in numerous application fields, a…

Methodology · Statistics 2020-07-10 Owen Thomas , Henri Pesonen , Jukka Corander

Stochastic Gradient Descent (SGD) based methods have been widely used for training large-scale machine learning models that also generalize well in practice. Several explanations have been offered for this generalization performance, a…

Machine Learning · Computer Science 2021-02-11 Yikai Zhang , Wenjia Zhang , Sammy Bald , Vamsi Pingali , Chao Chen , Mayank Goswami

Federated Learning (FL) typically aggregates client model parameters using a weighting approach determined by sample proportions. However, this naive weighting method may lead to unfairness and degradation in model performance due to…

Machine Learning · Computer Science 2023-11-13 Mingwei Xu , Xiaofeng Cao , Ivor W. Tsang , James T. Kwok

Few-shot learning is a challenging problem where the goal is to achieve generalization from only few examples. Model-agnostic meta-learning (MAML) tackles the problem by formulating prior knowledge as a common initialization across tasks,…

Machine Learning · Computer Science 2020-06-17 Sungyong Baik , Seokil Hong , Kyoung Mu Lee

Recent metric-based meta-learning approaches, which learn a metric space that generalizes well over combinatorial number of different classification tasks sampled from a task distribution, have been shown to be effective for few-shot…

Machine Learning · Computer Science 2019-08-06 Hayeon Lee , Donghyun Na , Hae Beom Lee , Sung Ju Hwang

Inverse problems challenge existing neural operator architectures because ill-posed inverse maps violate continuity, uniqueness, and stability assumptions. We introduce B2B${}^{-1}$, an inverse basis-to-basis neural operator framework that…

Machine Learning · Computer Science 2025-12-23 Adam J. Thorpe , Stepan Tretiakov , Dibakar Roy Sarkar , Krishna Kumar , Ufuk Topcu

The Softmax loss is one of the most widely employed surrogate objectives for classification and ranking tasks. To elucidate its theoretical properties, the Fenchel-Young framework situates it as a canonical instance within a broad family of…

Machine Learning · Computer Science 2026-02-02 Yuanhao Pu , Defu Lian , Enhong Chen

Diffusion approximation provides weak approximation for stochastic gradient descent algorithms in a finite time horizon. In this paper, we introduce new tools motivated by the backward error analysis of numerical stochastic differential…

Machine Learning · Computer Science 2019-09-05 Yuanyuan Feng , Tingran Gao , Lei Li , Jian-Guo Liu , Yulong Lu

Weak supervision (WS) frameworks are a popular way to bypass hand-labeling large datasets for training data-hungry models. These approaches synthesize multiple noisy but cheaply-acquired estimates of labels into a set of high-quality…

Machine Learning · Computer Science 2023-11-30 Changho Shin , Winfred Li , Harit Vishwakarma , Nicholas Roberts , Frederic Sala

In the Query Focused Multi-Document Summarization (QF-MDS) task, a set of documents and a query are given where the goal is to generate a summary from these documents based on the given query. However, one major challenge for this task is…

Computation and Language · Computer Science 2020-11-04 Md Tahmid Rahman Laskar , Enamul Hoque , Jimmy Xiangji Huang

The softmax cross-entropy loss function has been widely used to train deep models for various tasks. In this work, we propose a Gaussian mixture (GM) loss function for deep neural networks for visual classification. Unlike the softmax…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Weitao Wan , Jiansheng Chen , Cheng Yu , Tong Wu , Yuanyi Zhong , Ming-Hsuan Yang

Story understanding and generation have long been a challenging task in natural language processing (NLP), especially when dealing with various levels of instruction specificity. In this paper, we propose a novel approach called "Weak to…

Computation and Language · Computer Science 2025-01-28 Yangshu Yuan , Heng Chen , Christian Ng

Synthetically-generated data plays an increasingly larger role in training large language models. However, while synthetic data has been found to be useful, studies have also shown that without proper curation it can cause LLM performance…

Machine Learning · Computer Science 2025-12-02 Kareem Amin , Sara Babakniya , Alex Bie , Weiwei Kong , Umar Syed , Sergei Vassilvitskii
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