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\emph{Memorization} in neural networks lacks a precise operational definition and is often inferred from the grokking regime, where training accuracy saturates while test accuracy remains very low. We identify a previously unreported third…

Machine Learning · Computer Science 2026-02-04 Hari K Prakash , Charles H Martin

The large capacity of neural networks enables them to learn complex functions. To avoid overfitting, networks however require a lot of training data that can be expensive and time-consuming to collect. A common practical approach to…

Machine Learning · Computer Science 2020-03-10 Majed El Helou , Frederike Dümbgen , Sabine Süsstrunk

Grokking, a phenomenon where machine learning models generalize long after overfitting, has been primarily observed and studied in algorithmic tasks. This paper explores grokking in real-world datasets using deep neural networks for…

Machine Learning · Computer Science 2024-06-21 Satvik Golechha

Large Language Models (LLMs) are increasingly used in Spoken Language Understanding (SLU), where effective multimodal learning depends on the alignment between audio and text. Despite various fusion methods, no standard metric exists to…

Computation and Language · Computer Science 2025-07-08 Pooneh Mousavi , Yingzhi Wang , Mirco Ravanelli , Cem Subakan

Domain generalization (DG) is about training models that generalize well under domain shift. Previous research on DG has been conducted mostly in single-source or multi-source settings. In this paper, we consider a third, lesser-known…

Machine Learning · Computer Science 2024-06-13 Han Gao , Kaican Li , Weiyan Xie , Zhi Lin , Yongxiang Huang , Luning Wang , Caleb Chen Cao , Nevin L. Zhang

We propose a novel framework for exploring weak and $L_2$ generalization errors of algorithms through the lens of differential calculus on the space of probability measures. Specifically, we consider the KL-regularized empirical risk…

Machine Learning · Statistics 2023-06-21 Gholamali Aminian , Samuel N. Cohen , Łukasz Szpruch

Calculation of the log-normalizer is a major computational obstacle in applications of log-linear models with large output spaces. The problem of fast normalizer computation has therefore attracted significant attention in the theoretical…

Machine Learning · Statistics 2015-06-19 Jacob Andreas , Maxim Rabinovich , Dan Klein , Michael I. Jordan

Generalization remains a central challenge in machine learning. In this work, we propose Learning from Teaching (LoT), a novel regularization technique for deep neural networks to enhance generalization. Inspired by the human ability to…

Machine Learning · Computer Science 2024-11-01 Can Jin , Tong Che , Hongwu Peng , Yiyuan Li , Dimitris N. Metaxas , Marco Pavone

Through-the-Wall radar (TWR) human activity recognition (HAR) is a technology that uses low-frequency ultra-wideband (UWB) signal to detect and analyze indoor human motion. However, the high dependence of existing end-to-end recognition…

Signal Processing · Electrical Eng. & Systems 2024-10-11 Weicheng Gao , Xiaodong Qu , Xiaopeng Yang

Despite the remarkable capabilities of modern large language models (LLMs), the mechanisms behind their problem-solving abilities remain elusive. In this work, we aim to better understand how the learning dynamics of LLM finetuning shapes…

Machine Learning · Computer Science 2024-11-19 Katie Kang , Amrith Setlur , Dibya Ghosh , Jacob Steinhardt , Claire Tomlin , Sergey Levine , Aviral Kumar

Large batch size training in deep neural networks (DNNs) possesses a well-known 'generalization gap' that remarkably induces generalization performance degradation. However, it remains unclear how varying batch size affects the structure of…

Machine Learning · Computer Science 2020-12-17 Fengli Gao , Huicai Zhong

Prior-weighted logistic regression has become a standard tool for calibration in speaker recognition. Logistic regression is the optimization of the expected value of the logarithmic scoring rule. We generalize this via a parametric family…

Machine Learning · Statistics 2013-07-31 Niko Brümmer , George Doddington

Grokking describes a delayed generalization phenomenon in which a neural network achieves perfect training accuracy long before validation accuracy improves, followed by an abrupt transition to strong generalization. Existing detection…

Machine Learning · Computer Science 2026-04-24 Shreel Golwala

Recent studies have shown that high disparities in effective learning rates (ELRs) across layers in deep neural networks can negatively affect trainability. We formalize how these disparities evolve over time by modeling weight dynamics…

Machine Learning · Computer Science 2024-05-27 Christian H. X. Ali Mehmeti-Göpel , Michael Wand

Quantization-aware training (QAT) simulates a quantization process during training to lower bit-precision of weights/activations. It learns quantized weights indirectly by updating latent weights,i.e., full-precision inputs to a quantizer,…

Computer Vision and Pattern Recognition · Computer Science 2025-10-02 Junghyup Lee , Jeimin Jeon , Dohyung Kim , Bumsub Ham

Optimal configuration of the learning rate (LR) is a fundamental yet formidable challenge in large-scale pre-training. Given the stringent trade-off between training costs and model performance, the pivotal question is whether the optimal…

Artificial Intelligence · Computer Science 2026-01-09 Yunhua Zhou , Shuhao Xing , Junhao Huang , Xipeng Qiu , Qipeng Guo

Recent research on the grokking phenomenon has illuminated the intricacies of neural networks' training dynamics and their generalization behaviors. Grokking refers to a sharp rise of the network's generalization accuracy on the test set,…

Machine Learning · Computer Science 2024-05-31 Simin Fan , Razvan Pascanu , Martin Jaggi

Given a pair of models with similar training set performance, it is natural to assume that the model that possesses simpler internal representations would exhibit better generalization. In this work, we provide empirical evidence for this…

Machine Learning · Computer Science 2022-11-28 Bradley C. A. Brown , Jordan Juravsky , Anthony L. Caterini , Gabriel Loaiza-Ganem

Overfitting is one of the critical problems in deep neural networks. Many regularization schemes try to prevent overfitting blindly. However, they decrease the convergence speed of training algorithms. Adaptive regularization schemes can…

Machine Learning · Computer Science 2021-06-18 Mohammad Mahdi Bejani , Mehdi Ghatee

We show that low-rank adaptation of large-scale models suffers from a low stable rank that is well below the linear algebraic rank of the subspace, degrading fine-tuning performance. To mitigate the underutilization of the allocated…

Machine Learning · Computer Science 2025-11-03 Kai Lion , Liang Zhang , Bingcong Li , Niao He