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Robust validation metrics remain essential in contemporary deep learning, not only to detect overfitting and poor generalization, but also to monitor training dynamics. In the supervised classification setting, we investigate whether…

Machine Learning · Computer Science 2025-10-30 Florian A. Hölzl , Daniel Rueckert , Georgios Kaissis

Deep learning optimization relies heavily on the assumption of smooth loss landscapes, a condition systematically violated by modern architectures due to non-smooth components such as ReLU activations and quantization operators. In such…

Machine Learning · Computer Science 2026-05-29 Ruoran Xu , Borong She , Xiaobo Jin , Qiufeng Wang

Within the current sphere of deep learning research, despite the extensive application of optimization algorithms such as Stochastic Gradient Descent (SGD) and Adaptive Moment Estimation (Adam), there remains a pronounced inadequacy in…

Machine Learning · Computer Science 2025-10-30 Zhifeng Wang , Longlong Li , Chunyan Zeng

The foundational capabilities of large language models are acquired during pretraining on internet-scale, highly heterogeneous data mixtures. In this work, we investigate an interesting geometric question regarding the converged state of…

Machine Learning · Computer Science 2026-05-28 Huanran Chen , Huaqing Zhang , Xiao Li , Yinpeng Dong , Ke Shen , Jun Zhu

Underactuated robots are characterized by a larger number of degrees of freedom than actuators and if they are designed with a specific mass distribution, they can be controlled by means of differential flatness theory. This structural…

Robotics · Computer Science 2026-04-21 Stefano Lovato , Michele Tonan , Matteo Bottin , Matteo Massaro , Alberto Doria , Giulio Rosati

A new implementation of an adiabatically-trained ensemble model is derived that shows significant improvements over classical methods. In particular, empirical results of this new algorithm show that it offers not just higher performance,…

Machine Learning · Computer Science 2022-10-17 Salvatore Certo , Andrew Vlasic , Daniel Beaulieu

We identity a by-far-unrecognized problem of Adam-style optimizers which results from unnecessary coupling between momentum and adaptivity. The coupling leads to instability and divergence when the momentum and adaptivity parameters are…

Machine Learning · Computer Science 2021-06-15 Liu Ziyin , Zhikang T. Wang , Masahito Ueda

Neuroscientists have long criticised deep learning algorithms as incompatible with current knowledge of neurobiology. We explore more biologically plausible versions of deep representation learning, focusing here mostly on unsupervised…

Machine Learning · Computer Science 2016-08-10 Yoshua Bengio , Dong-Hyun Lee , Jorg Bornschein , Thomas Mesnard , Zhouhan Lin

Over the past few years, Batch-Normalization has been commonly used in deep networks, allowing faster training and high performance for a wide variety of applications. However, the reasons behind its merits remained unanswered, with several…

Machine Learning · Statistics 2019-02-08 Elad Hoffer , Ron Banner , Itay Golan , Daniel Soudry

While deep learning has been very beneficial in data-rich settings, tasks with smaller training set often resort to pre-training or multitask learning to leverage data from other tasks. In this case, careful consideration is needed to…

Machine Learning · Computer Science 2021-08-26 Lucio M. Dery , Yann Dauphin , David Grangier

Optimization algorithms such as AdaGrad and Adam have significantly advanced the training of deep models by dynamically adjusting the learning rate during the optimization process. However, adhoc tuning of learning rates poses a challenge,…

Machine Learning · Computer Science 2024-12-30 Yuanzhe Tao , Huizhuo Yuan , Xun Zhou , Yuan Cao , Quanquan Gu

The exponential moving average (EMA) is a commonly used statistic for providing stable estimates of stochastic quantities in deep learning optimization. Recently, EMA has seen considerable use in generative models, where it is computed with…

Machine Learning · Computer Science 2023-10-24 Jonathan Patsenker , Henry Li , Yuval Kluger

We explore value decomposition solutions for multi-agent deep reinforcement learning in the popular paradigm of centralized training with decentralized execution(CTDE). As the recognized best solution to CTDE, Weighted QMIX is cutting-edge…

Multiagent Systems · Computer Science 2022-08-09 Kai Liu , Tianxian Zhang , Lingjiang Kong

With the accumulation of resources in the era of big data and the rise of pre-trained models in deep learning, optimizing neural networks for various tasks often involves different strategies for fine-tuning pre-trained models versus…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Xin Ning , Qiankun Li , Xiaolong Huang , Qiupu Chen , Feng He , Weijun Li , Prayag Tiwari , Xinwang Liu

Asymptotic optimality is a key theoretical property in model averaging. Due to technical difficulties, existing studies rely on restricted weight sets or the assumption that there is no true model with fixed dimensions in the candidate set.…

Statistics Theory · Mathematics 2024-11-15 Wenchao Xu , Xinyu Zhang

In this paper, we prove that an Adam-type algorithm with smooth clipping approaches the global minimizer of the regularized non-convex loss function. Adding smooth clipping and taking the state space as the set of all trajectories, we can…

Machine Learning · Computer Science 2023-12-06 Keisuke Suzuki

Model Weight Averaging (MWA) is a technique that seeks to enhance model's performance by averaging the weights of multiple trained models. This paper first empirically finds that 1) the vanilla MWA can benefit the class-imbalanced learning,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-05 Zitong Huang , Ze Chen , Bowen Dong , Chaoqi Liang , Erjin Zhou , Wangmeng Zuo

Much of the existing theory on first-order non-smooth optimization is built on a restrictive assumption that the gradients of the objective function are uniformly bounded. We introduce a much more realistic class of generalized Lipschitz…

Optimization and Control · Mathematics 2026-05-27 Dmitry Kovalev

The success of reinforcement learning (RL) is fundamentally tied to having a reward function that accurately reflects the task objective. Yet, designing reward functions is notoriously time-consuming and prone to misspecification. To…

Machine Learning · Computer Science 2026-01-26 Calarina Muslimani , Yunshu Du , Kenta Kawamoto , Kaushik Subramanian , Peter Stone , Peter Wurman

Several recently introduced deep learning optimizers utilizing matrix-level preconditioning have shown promising speedups relative to the current dominant optimizer AdamW, particularly in relatively small-scale experiments. However, efforts…

Machine Learning · Computer Science 2026-01-21 Shikai Qiu , Zixi Chen , Hoang Phan , Qi Lei , Andrew Gordon Wilson
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