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We describe a general framework -- compressive statistical learning -- for resource-efficient large-scale learning: the training collection is compressed in one pass into a low-dimensional sketch (a vector of random empirical generalized…

Machine Learning · Statistics 2021-06-23 Rémi Gribonval , Gilles Blanchard , Nicolas Keriven , Yann Traonmilin

Hessian-free (HF) optimization has been shown to effectively train deep autoencoders (Martens, 2010). In this paper, we aim to accelerate HF training of autoencoders by reducing the amount of data used in training. HF utilizes the conjugate…

Machine Learning · Computer Science 2025-04-21 Ibrahim Emirahmetoglu , David E. Stewart

We propose a novel limited-memory stochastic block BFGS update for incorporating enriched curvature information in stochastic approximation methods. In our method, the estimate of the inverse Hessian matrix that is maintained by it, is…

Optimization and Control · Mathematics 2016-04-01 Robert M. Gower , Donald Goldfarb , Peter Richtárik

Stochastic neighbor embedding (SNE) and related nonlinear manifold learning algorithms achieve high-quality low-dimensional representations of similarity data, but are notoriously slow to train. We propose a generic formulation of embedding…

Machine Learning · Computer Science 2012-06-22 Max Vladymyrov , Miguel Carreira-Perpinan

Iterative Hessian sketch (IHS) is an effective sketching method for modeling large-scale data. It was originally proposed by Pilanci and Wainwright (2016; JMLR) based on randomized sketching matrices. However, it is computationally…

Machine Learning · Statistics 2020-03-10 Aijun Zhang , Hengtao Zhang , Guosheng Yin

Humans are able to recognize structured relations in observation, allowing us to decompose complex scenes into simpler parts and abstract the visual world in multiple levels. However, such hierarchical reasoning ability of human perception…

Computer Vision and Pattern Recognition · Computer Science 2022-03-30 Liulei Li , Tianfei Zhou , Wenguan Wang , Jianwu Li , Yi Yang

To achieve the low latency, high throughput, and energy efficiency benefits of Spiking Neural Networks (SNNs), reducing the memory and compute requirements when running on a neuromorphic hardware is an important step. Neuromorphic…

Neural and Evolutionary Computing · Computer Science 2021-08-25 Hin Wai Lui , Emre Neftci

Understanding geometric concepts, such as distance and shape, is essential for understanding the real world and also for many vision tasks. To incorporate such information into a visual representation of a scene, we propose learning to…

Computer Vision and Pattern Recognition · Computer Science 2023-04-18 Hyundo Lee , Inwoo Hwang , Hyunsung Go , Won-Seok Choi , Kibeom Kim , Byoung-Tak Zhang

Many recent prompting strategies for large language models (LLMs) query the model multiple times sequentially -- first to produce intermediate results and then the final answer. However, using these methods, both decoder and model are…

Computation and Language · Computer Science 2023-11-10 Luca Beurer-Kellner , Mark Niklas Müller , Marc Fischer , Martin Vechev

Stochastic gradients for deep neural networks exhibit strong correlations along the optimization trajectory, and are often aligned with a small set of Hessian eigenvectors associated with outlier eigenvalues. Recent work shows that…

Machine Learning · Computer Science 2026-02-04 Julien Nicolas , Mohamed Maouche , Sonia Ben Mokhtar , Mark Coates

Information distances like the Hellinger distance and the Jensen-Shannon divergence have deep roots in information theory and machine learning. They are used extensively in data analysis especially when the objects being compared are high…

Data Structures and Algorithms · Computer Science 2015-03-19 Amirali Abdullah , Ravi Kumar , Andrew McGregor , Sergei Vassilvitskii , Suresh Venkatasubramanian

As the state-of-the-art machine learning methods in many fields rely on larger datasets, storing datasets and training models on them become significantly more expensive. This paper proposes a training set synthesis technique for…

Computer Vision and Pattern Recognition · Computer Science 2021-03-09 Bo Zhao , Konda Reddy Mopuri , Hakan Bilen

We revisit data selection in a modern context of finetuning from a fundamental perspective. Extending the classical wisdom of variance minimization in low dimensions to high-dimensional finetuning, our generalization analysis unveils the…

Machine Learning · Computer Science 2025-02-10 Yijun Dong , Hoang Phan , Xiang Pan , Qi Lei

Recent advance of large scale similarity search involves using deeply learned representations to improve the search accuracy and use vector quantization methods to increase the search speed. However, how to learn deep representations that…

Computer Vision and Pattern Recognition · Computer Science 2016-11-01 Shicong Liu , Hongtao Lu

Recurrent neural networks (RNNs) have shown promising performance for language modeling. However, traditional training of RNNs using back-propagation through time often suffers from overfitting. One reason for this is that stochastic…

Computation and Language · Computer Science 2017-04-25 Zhe Gan , Chunyuan Li , Changyou Chen , Yunchen Pu , Qinliang Su , Lawrence Carin

A variety of dimensionality reduction techniques have been applied for computations involving large matrices. The underlying matrix is randomly compressed into a smaller one, while approximately retaining many of its original properties. As…

Machine Learning · Computer Science 2021-06-17 Zhili Feng , Fred Roosta , David P. Woodruff

Despite progress in training neural networks for lossy image compression, current approaches fail to maintain both perceptual quality and abstract features at very low bitrates. Encouraged by recent success in learning discrete…

Machine Learning · Computer Science 2020-10-19 Will Williams , Sam Ringer , Tom Ash , John Hughes , David MacLeod , Jamie Dougherty

Following the general theoretical framework of VSA (Vector Symbolic Architecture), a cognitive model with the use of sparse binary hypervectors is proposed. In addition, learning algorithms are introduced to bootstrap the model from…

Artificial Intelligence · Computer Science 2023-10-31 Zhonghao Yang

High-dimensional sparse data present computational and statistical challenges for supervised learning. We propose compact linear sketches for reducing the dimensionality of the input, followed by a single layer neural network. We show that…

Machine Learning · Computer Science 2016-04-21 Amit Daniely , Nevena Lazic , Yoram Singer , Kunal Talwar

Supervised deep learning requires a large amount of training samples with annotations (e.g. label class for classification task, pixel- or voxel-wised label map for segmentation tasks), which are expensive and time-consuming to obtain.…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Yuanhan Mo , Shuo Wang , Chengliang Dai , Rui Zhou , Zhongzhao Teng , Wenjia Bai , Yike Guo
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