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This work employs some techniques in order to filter random noise from the information provided by minimum spanning trees obtained from the correlation matrices of international stock market indices prior to and during times of crisis. The…

Statistical Finance · Quantitative Finance 2014-08-11 Leonidas Sandoval Junior

Mini-batch sub-sampling in neural network training is unavoidable, due to growing data demands, memory-limited computational resources such as graphical processing units (GPUs), and the dynamics of on-line learning. In this study we…

Machine Learning · Statistics 2020-04-07 Dominic Kafka , Daniel Wilke

The representation of functions by artificial neural networks depends on a large number of parameters in a non-linear fashion. Suitable parameters of these are found by minimizing a 'loss functional', typically by stochastic gradient…

Machine Learning · Computer Science 2021-09-16 Stephan Wojtowytsch

Recent advances in artificial intelligence have relied heavily on increasingly large neural networks, raising concerns about their computational and environmental costs. This paper investigates whether simpler, sparser networks can maintain…

Machine Learning · Computer Science 2025-11-04 C. Díaz-Faloh , R. Mulet

The existence of "lottery tickets" arXiv:1803.03635 at or near initialization raises the tantalizing question of whether large models are necessary in deep learning, or whether sparse networks can be quickly identified and trained without…

Machine Learning · Statistics 2024-07-26 Tanishq Kumar , Kevin Luo , Mark Sellke

In this paper, we conjecture that if the permutation invariance of neural networks is taken into account, SGD solutions will likely have no barrier in the linear interpolation between them. Although it is a bold conjecture, we show how…

Machine Learning · Computer Science 2022-07-06 Rahim Entezari , Hanie Sedghi , Olga Saukh , Behnam Neyshabur

Robustness to adversarial attacks was shown to require a larger model capacity, and thus a larger memory footprint. In this paper, we introduce an approach to obtain robust yet compact models by pruning randomly-initialized binary networks.…

Machine Learning · Computer Science 2022-10-18 Chen Liu , Ziqi Zhao , Sabine Süsstrunk , Mathieu Salzmann

The convergence of GD and SGD when training mildly parameterized neural networks starting from random initialization is studied. For a broad range of models and loss functions, including the most commonly used square loss and cross entropy…

Machine Learning · Computer Science 2023-05-30 Mingze Wang , Chao Ma

Deep Neural Networks (DNNs) are well-known to act as over-parameterized deep image priors (DIP) that regularize various image inverse problems. Meanwhile, researchers also proposed extremely compact, under-parameterized image priors (e.g.,…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Qiming Wu , Xiaohan Chen , Yifan Jiang , Zhangyang Wang

The stochastic gradient descent (SGD) algorithm is the algorithm we use to train neural networks. However, it remains poorly understood how the SGD navigates the highly nonlinear and degenerate loss landscape of a neural network. In this…

Machine Learning · Computer Science 2025-06-13 Liu Ziyin , Hongchao Li , Masahito Ueda

Recent works on Lottery Ticket Hypothesis have shown that pre-trained language models (PLMs) contain smaller matching subnetworks(winning tickets) which are capable of reaching accuracy comparable to the original models. However, these…

Computation and Language · Computer Science 2022-11-15 Rui Zheng , Rong Bao , Yuhao Zhou , Di Liang , Sirui Wang , Wei Wu , Tao Gui , Qi Zhang , Xuanjing Huang

The conventional lottery ticket hypothesis (LTH) claims that there exists a sparse subnetwork within a dense neural network and a proper random initialization method called the winning ticket, such that it can be trained from scratch to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Xuan Shen , Zhenglun Kong , Minghai Qin , Peiyan Dong , Geng Yuan , Xin Meng , Hao Tang , Xiaolong Ma , Yanzhi Wang

Skin cancer affects a large population every year -- automated skin cancer detection algorithms can thus greatly help clinicians. Prior efforts involving deep learning models have high detection accuracy. However, most of the models have a…

Computer Vision and Pattern Recognition · Computer Science 2020-08-28 Sherin Muckatira

Text-to-image diffusion models allow users control over the content of generated images. Still, text-to-image generation occasionally leads to generation failure requiring users to generate dozens of images under the same text prompt before…

Computer Vision and Pattern Recognition · Computer Science 2024-10-10 Jiafeng Mao , Xueting Wang , Kiyoharu Aizawa

Network pruning is a method for reducing test-time computational resource requirements with minimal performance degradation. Conventional wisdom of pruning algorithms suggests that: (1) Pruning methods exploit information from training data…

Machine Learning · Computer Science 2020-10-23 Jingtong Su , Yihang Chen , Tianle Cai , Tianhao Wu , Ruiqi Gao , Liwei Wang , Jason D. Lee

Despite the success of diffusion models, the training and inference of diffusion models are notoriously expensive due to the long chain of the reverse process. In parallel, the Lottery Ticket Hypothesis (LTH) claims that there exists…

Machine Learning · Computer Science 2023-10-31 Chao Jiang , Bo Hui , Bohan Liu , Da Yan

Neural networks trained with stochastic gradient descent (SGD) starting from different random initialisations typically find functionally very similar solutions, raising the question of whether there are meaningful differences between…

Random masks define surprisingly effective sparse neural network models, as has been shown empirically. The resulting sparse networks can often compete with dense architectures and state-of-the-art lottery ticket pruning algorithms, even…

Machine Learning · Computer Science 2023-06-01 Advait Gadhikar , Sohom Mukherjee , Rebekka Burkholz

The lottery ticket hypothesis questions the role of overparameterization in supervised deep learning. But how is the performance of winning lottery tickets affected by the distributional shift inherent to reinforcement learning problems? In…

Machine Learning · Computer Science 2022-05-11 Marc Aurel Vischer , Robert Tjarko Lange , Henning Sprekeler

According to the Strong Lottery Ticket Hypothesis, every sufficiently large neural network with randomly initialized weights contains a sub-network which - still with its random weights - already performs as well for a given task as the…

Neural and Evolutionary Computing · Computer Science 2024-11-08 Philipp Altmann , Julian Schönberger , Maximilian Zorn , Thomas Gabor