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People believe that depth plays an important role in success of deep neural networks (DNN). However, this belief lacks solid theoretical justifications as far as we know. We investigate role of depth from perspective of margin bound. In…

Machine Learning · Computer Science 2015-12-01 Shizhao Sun , Wei Chen , Liwei Wang , Xiaoguang Liu , Tie-Yan Liu

Deep neural networks (DNNs) have the capacity to fit extremely noisy labels nonetheless they tend to learn data with clean labels first and then memorize those with noisy labels. We examine this behavior in light of the Shannon entropy of…

Machine Learning · Computer Science 2021-04-28 Hao Wu , Jiangchao Yao , Jiajie Wang , Yinru Chen , Ya Zhang , Yanfeng Wang

Technological and computational advances continuously drive forward the broad field of deep learning. In recent years, the derivation of quantities describing theuncertainty in the prediction - which naturally accompanies the modeling…

Machine Learning · Computer Science 2022-05-31 Christoph Koller , Göran Kauermann , Xiao Xiang Zhu

Despite achieving remarkable performance on many image classification tasks, state-of-the-art machine learning (ML) classifiers remain vulnerable to small input perturbations. Especially, the existence of adversarial examples raises…

Machine Learning · Computer Science 2020-02-06 David Mickisch , Felix Assion , Florens Greßner , Wiebke Günther , Mariele Motta

Regularization techniques are crucial to improving the generalization performance and training efficiency of deep neural networks. Many deep learning algorithms rely on weight decay, dropout, batch/layer normalization to converge faster and…

Machine Learning · Computer Science 2025-05-23 Peng Lu , Ahmad Rashid , Ivan Kobyzev , Mehdi Rezagholizadeh , Philippe Langlais

Understanding generalization in deep neural networks is an active area of research. A promising avenue of exploration has been that of margin measurements: the shortest distance to the decision boundary for a given sample or that sample's…

Machine Learning · Computer Science 2024-05-29 Coenraad Mouton

Calibration allows predictions to be reliably interpreted as probabilities by decision makers. We propose a decision-theoretic calibration error, the Calibration Decision Loss (CDL), defined as the maximum improvement in decision payoff…

Machine Learning · Computer Science 2024-10-14 Lunjia Hu , Yifan Wu

Training neural networks with one-hot target labels often results in overconfidence and overfitting. Label smoothing addresses this issue by perturbing the one-hot target labels by adding a uniform probability vector to create a regularized…

Computer Vision and Pattern Recognition · Computer Science 2025-09-09 Sachin Chhabra , Hemanth Venkateswara , Baoxin Li

Pretraining large language models (LLMs) with next-token prediction has led to remarkable advances, yet the context-dependent nature of token embeddings in such models results in high intra-class variance and inter-class similarity, thus…

Computation and Language · Computer Science 2026-05-12 Yan Sun , Guoxia Wang , Jinle Zeng , JiaBin Yang , Shuai Li , Li Shen , Dacheng Tao , DianHai Yu , Haifeng Wang

Deep learning systems are known to exhibit implicit regularization (alt. implicit bias), favoring simple solutions instead of merely minimizing the loss function. In some cases, we can analytically derive the implicit regularization --…

Machine Learning · Statistics 2026-05-08 Joseph H. Rudoler , Kevin Tan , Giles Hooker , Konrad P. Kording

Labor-intensive labeling becomes a bottleneck in developing computer vision algorithms based on deep learning. For this reason, dealing with imperfect labels has increasingly gained attention and has become an active field of study. We…

Computer Vision and Pattern Recognition · Computer Science 2024-01-10 Heewon Kim , Hyun Sung Chang , Kiho Cho , Jaeyun Lee , Bohyung Han

One recent research demonstrated successful application of the label alignment property for unsupervised domain adaptation in a linear regression settings. Instead of regularizing representation learning to be domain invariant, the research…

Machine Learning · Computer Science 2025-03-13 Xuanrui Zeng

Deep neural networks have proven to be highly effective when large amounts of data with clean labels are available. However, their performance degrades when training data contains noisy labels, leading to poor generalization on the test…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Fahimeh Fooladgar , Minh Nguyen Nhat To , Parvin Mousavi , Purang Abolmaesumi

Margin enlargement over training data has been an important strategy since perceptrons in machine learning for the purpose of boosting the robustness of classifiers toward a good generalization ability. Yet Breiman (1999) showed a dilemma…

Machine Learning · Computer Science 2021-01-05 Weizhi Zhu , Yifei Huang , Yuan Yao

Recent state-of-the-art methods in imbalanced semi-supervised learning (SSL) rely on confidence-based pseudo-labeling with consistency regularization. To obtain high-quality pseudo-labels, a high confidence threshold is typically adopted.…

Computer Vision and Pattern Recognition · Computer Science 2023-03-20 Zhuoran Yu , Yin Li , Yong Jae Lee

In-Context Learning (ICL) allows Large Language Models (LLMs) to adapt to new tasks with just a few examples, but their predictions often suffer from systematic biases, leading to unstable performance in classification. While calibration…

Machine Learning · Statistics 2026-03-05 Korel Gundem , Juncheng Dong , Dennis Zhang , Vahid Tarokh , Zhengling Qi

Reinforcement Learning from Human Feedback (RLHF) has become the predominant approach for language model (LM) alignment. At its core, RLHF uses a margin-based loss for preference optimization, specifying ideal LM behavior only by the…

Machine Learning · Computer Science 2025-04-23 Hui Yuan , Yifan Zeng , Yue Wu , Huazheng Wang , Mengdi Wang , Liu Leqi

Semi-supervised learning (SSL) has demonstrated high performance in image classification tasks by effectively utilizing both labeled and unlabeled data. However, existing SSL methods often suffer from poor calibration, with models yielding…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Mehrab Mustafy Rahman , Jayanth Mohan , Tiberiu Sosea , Cornelia Caragea

Training modern neural networks is an inherently noisy process that can lead to high \emph{prediction churn} -- disagreements between re-trainings of the same model due to factors such as randomization in the parameter initialization and…

Machine Learning · Computer Science 2021-06-15 Dara Bahri , Heinrich Jiang

In-context learning enables language models (LM) to adapt to downstream data or tasks by incorporating few samples as demonstrations within the prompts. It offers strong performance without the expense of fine-tuning. However, the…

Computation and Language · Computer Science 2024-10-15 Jian Gu , Aldeida Aleti , Chunyang Chen , Hongyu Zhang