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The learning rate (LR) is one of the most important hyper-parameters in stochastic gradient descent (SGD) algorithm for training deep neural networks (DNN). However, current hand-designed LR schedules need to manually pre-specify a fixed…

Machine Learning · Computer Science 2021-05-14 Jun Shu , Yanwen Zhu , Qian Zhao , Zongben Xu , Deyu Meng

Learning representations according to the underlying geometry is of vital importance for non-Euclidean data. Studies have revealed that the hyperbolic space can effectively embed hierarchical or tree-like data. In particular, the few past…

Machine Learning · Computer Science 2023-06-16 Eric Qu , Dongmian Zou

We prove an exponential separation in sample complexity between Euclidean and hyperbolic representations for learning on hierarchical data under standard Lipschitz regularization. For depth-$R$ hierarchies with branching factor $m$, we…

Machine Learning · Statistics 2026-01-29 Divit Rawal , Sriram Vishwanath

The choice of learning rate (LR) functions and policies has evolved from a simple fixed LR to the decaying LR and the cyclic LR, aiming to improve the accuracy and reduce the training time of Deep Neural Networks (DNNs). This paper presents…

Machine Learning · Computer Science 2022-10-25 Yanzhao Wu , Ling Liu

Hyperbolic geometry has emerged as a powerful tool for modeling complex, structured data, particularly where hierarchical or tree-like relationships are present. By enabling embeddings with lower distortion, hyperbolic neural networks offer…

Machine Learning · Computer Science 2025-06-18 Pol Arévalo , Alexis Molina , Álvaro Ciudad

Hyperbolic Neural Networks (HNNs), operating in hyperbolic space, have been widely applied in recent years, motivated by the existence of an optimal embedding in hyperbolic space that can preserve data hierarchical relationships (termed…

Machine Learning · Computer Science 2024-02-06 Shicheng Tan , Huanjing Zhao , Shu Zhao , Yanping Zhang

The goal of Continual Learning (CL) task is to continuously learn multiple new tasks sequentially while achieving a balance between the plasticity and stability of new and old knowledge. This paper analyzes that this insufficiency arises…

Machine Learning · Computer Science 2024-05-28 Hanxi Xiao , Fan Lyu

Hyperbolic space has become a popular choice of manifold for representation learning of various datatypes from tree-like structures and text to graphs. Building on the success of deep learning with prototypes in Euclidean and hyperspherical…

Machine Learning · Computer Science 2021-11-25 Mina Ghadimi Atigh , Martin Keller-Ressel , Pascal Mettes

While numerous Video Violence Detection (VVD) methods have focused on representation learning in Euclidean space, they struggle to learn sufficiently discriminative features, leading to weaknesses in recognizing normal events that are…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Jiaxu Leng , Zhanjie Wu , Mingpi Tan , Yiran Liu , Ji Gan , Haosheng Chen , Xinbo Gao

Rapid progress in machine learning and deep learning has enabled a wide range of applications in the electricity load forecasting of power systems, for instance, univariate and multivariate short-term load forecasting. Though the strong…

Machine Learning · Computer Science 2024-02-20 Yuqi Jiang , Yan Li , Yize Chen

A Reinforcement Learning (RL) system depends on a set of initial conditions (hyperparameters) that affect the system's performance. However, defining a good choice of hyperparameters is a challenging problem. Hyperparameter tuning often…

The dynamic scheduling of ultra-reliable and low-latency traffic (URLLC) in the uplink can significantly enhance the efficiency of coexisting services, such as enhanced mobile broadband (eMBB) devices, by only allocating resources when…

Signal Processing · Electrical Eng. & Systems 2024-05-02 Kfir M. Cohen , Sangwoo Park , Osvaldo Simeone , Petar Popovski , Shlomo Shamai

Off-policy learning allows us to learn about possible policies of behavior from experience generated by a different behavior policy. Temporal difference (TD) learning algorithms can become unstable when combined with function approximation…

Machine Learning · Computer Science 2021-06-23 Ray Jiang , Tom Zahavy , Zhongwen Xu , Adam White , Matteo Hessel , Charles Blundell , Hado van Hasselt

Neural network classifiers trained with cross-entropy loss achieve strong predictive accuracy but lack the capability to provide inherent predictive uncertainty estimates, thus requiring external techniques to obtain these estimates. In…

Machine Learning · Statistics 2026-04-08 Courtney Franzen , Farhad Pourkamali-Anaraki

Hyperbolic neural networks have emerged as a powerful tool for modeling hierarchical data structures prevalent in real-world datasets. Notably, residual connections, which facilitate the direct flow of information across layers, have been…

Machine Learning · Computer Science 2025-01-14 Neil He , Menglin Yang , Rex Ying

Today high-performance computing (HPC) platforms are still dominated by batch jobs. Accordingly, effective batch job scheduling is crucial to obtain high system efficiency. Existing HPC batch job schedulers typically leverage heuristic…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-03 Di Zhang , Dong Dai , Youbiao He , Forrest Sheng Bao , Bing Xie

In recent years, there has been a growing trend of incorporating hyperbolic geometry methods into computer vision. While these methods have achieved state-of-the-art performance on various metric learning tasks using hyperbolic distance…

Computer Vision and Pattern Recognition · Computer Science 2024-05-06 Yun Yue , Fangzhou Lin , Guanyi Mou , Ziming Zhang

GPUs have been favored for training deep learning models due to their highly parallelized architecture. As a result, most studies on training optimization focus on GPUs. There is often a trade-off, however, between cost and efficiency when…

Hyperbolic geometry is gaining traction in machine learning for its effectiveness at capturing hierarchical structures in real-world data. Hyperbolic spaces, where neighborhoods grow exponentially, offer substantial advantages and…

Machine Learning · Computer Science 2024-03-06 Philippe Chlenski , Ethan Turok , Antonio Moretti , Itsik Pe'er

Learning rate schedules used in practice bear little resemblance to those recommended by theory. We close much of this theory/practice gap, and as a consequence are able to derive new problem-adaptive learning rate schedules. Our main…

Machine Learning · Computer Science 2024-10-31 Aaron Defazio , Ashok Cutkosky , Harsh Mehta , Konstantin Mishchenko