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Recently, there has been a surge in interest in developing optimization algorithms for overparameterized models as achieving generalization is believed to require algorithms with suitable biases. This interest centers on minimizing…

Machine Learning · Computer Science 2026-02-05 Behrooz Tahmasebi , Ashkan Soleymani , Dara Bahri , Stefanie Jegelka , Patrick Jaillet

Prior work in multi-objective reinforcement learning typically uses linear reward scalarization with fixed weights, which provably fails to capture non-convex Pareto fronts and thus yields suboptimal results. This limitation becomes…

Machine Learning · Computer Science 2026-04-01 Yining Lu , Zilong Wang , Shiyang Li , Xin Liu , Changlong Yu , Qingyu Yin , Zhan Shi , Zixuan Zhang , Meng Jiang

Neural networks are typically trained with a single learning rate across all layers. While recent empirical evidence suggests that assigning layer-specific learning rates can accelerate training, a principled understanding of the conditions…

Machine Learning · Computer Science 2026-05-26 Sihan Zeng , Sujay Bhatt , Sumitra Ganesh

Modern deep learning relies nearly exclusively on dedicated electronic hardware accelerators. Photonic approaches, with low consumption and high operation speed, are increasingly considered for inference but, to date, remain mostly limited…

In this work, we establish non-asymptotic convergence bounds for the Gauss-Newton method in training neural networks with smooth activations. In the underparameterized regime, the Gauss-Newton gradient flow in parameter space induces a…

Optimization and Control · Mathematics 2025-12-23 Semih Cayci

Training deep neural networks--and more recently, large models demands efficient and scalable optimizers. Adaptive gradient algorithms like Adam, AdamW, and their variants have been central to this task. Despite the development of numerous…

Machine Learning · Computer Science 2025-09-05 Huizhuo Yuan , Yifeng Liu , Shuang Wu , Xun Zhou , Quanquan Gu

Transfer learning has become a popular task adaptation method in the era of foundation models. However, many foundation models require large storage and computing resources, which makes off-the-shelf deployment impractical. Post-training…

Computer Vision and Pattern Recognition · Computer Science 2023-07-11 Jung Hwan Heo , Seyedarmin Azizi , Arash Fayyazi , Massoud Pedram

The non-convexity of the artificial neural network (ANN) training landscape brings inherent optimization difficulties. While the traditional back-propagation stochastic gradient descent (SGD) algorithm and its variants are effective in…

Machine Learning · Computer Science 2025-06-18 Yatong Bai , Tanmay Gautam , Somayeh Sojoudi

The ever-growing computational demands of increasingly complex machine learning models frequently necessitate the use of powerful cloud-based infrastructure for their training. Binary neural networks are known to be promising candidates for…

Preconditioned stochastic optimization algorithms, exemplified by Shampoo, outperform first-order optimizers by offering theoretical convergence benefits and practical gains in large-scale neural network training. However, they incur…

Machine Learning · Computer Science 2025-03-13 Jingyang Li , Kuangyu Ding , Kim-Chuan Toh , Pan Zhou

Representations in the form of Symmetric Positive Definite (SPD) matrices have been popularized in a variety of visual learning applications due to their demonstrated ability to capture rich second-order statistics of visual data. There…

Existing methods of pruning deep neural networks focus on removing unnecessary parameters of the trained network and fine tuning the model afterwards to find a good solution that recovers the initial performance of the trained model. Unlike…

Machine Learning · Computer Science 2021-11-17 Abdolghani Ebrahimi , Diego Klabjan

Recent works have demonstrated convolutional neural networks are vulnerable to adversarial examples, i.e., inputs to machine learning models that an attacker has intentionally designed to cause the models to make a mistake. To improve the…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Xianxu Hou , Jingxin Liu , Bolei Xu , Xiaolong Wang , Bozhi Liu , Guoping Qiu

Despite remarkable achievements in deep learning across various domains, its inherent vulnerability to adversarial examples still remains a critical concern for practical deployment. Adversarial training has emerged as one of the most…

Machine Learning · Computer Science 2024-11-06 Junhao Dong , Xinghua Qu , Z. Jane Wang , Yew-Soon Ong

Second-order optimization methods for training neural networks, such as KFAC, exhibit superior convergence by utilizing curvature information of loss landscape. However, it comes at the expense of high computational burden. In this work, we…

Machine Learning · Computer Science 2025-11-12 Hyunseok Seung , Jaewoo Lee , Hyunsuk Ko

End-to-end autonomous driving has emerged as a dominant paradigm, yet its highly entangled black-box models pose significant challenges in terms of interpretability and safety assurance. To improve model transparency and training…

Computer Vision and Pattern Recognition · Computer Science 2025-06-10 Ni Ding , Lei He , Shengbo Eben Li , Keqiang Li

Symmetric positive definite (SPD) matrix has been demonstrated to be an effective feature descriptor in many scientific areas, as it can encode spatiotemporal statistics of the data adequately on a curved Riemannian manifold, i.e., SPD…

Computer Vision and Pattern Recognition · Computer Science 2023-11-29 Rui Wang , Xiao-Jun Wu , Hui Li , Josef Kittler

Derivative-free prompt learning has emerged as a lightweight alternative to prompt tuning, which only requires model inference to optimize the prompts. However, existing work did not take full advantage of the over-parameterized…

Computation and Language · Computer Science 2022-10-24 Yekun Chai , Shuohuan Wang , Yu Sun , Hao Tian , Hua Wu , Haifeng Wang

Neural network optimization remains one of the most consequential yet poorly understood challenges in modern AI research, where improvements in training algorithms can lead to enhanced feature learning in foundation models,…

Machine Learning · Computer Science 2025-12-23 Ansh Nagwekar

Modeling non-Euclidean data is drawing extensive attention along with the unprecedented successes of deep neural networks in diverse fields. Particularly, a symmetric positive definite matrix is being actively studied in computer vision,…

Machine Learning · Computer Science 2023-10-09 Seungwoo Jeong , Wonjun Ko , Ahmad Wisnu Mulyadi , Heung-Il Suk