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This paper presents a hybrid approach between scale-space theory and deep learning, where a deep learning architecture is constructed by coupling parameterized scale-space operations in cascade. By sharing the learnt parameters between…

Computer Vision and Pattern Recognition · Computer Science 2024-09-19 Tony Lindeberg

There is general consensus that learning representations is useful for a variety of reasons, e.g. efficient use of labeled data (semi-supervised learning), transfer learning and understanding hidden structure of data. Popular techniques for…

Machine Learning · Computer Science 2017-06-15 Sanjeev Arora , Andrej Risteski

A large computer program is typically divided into many hundreds or even thousands of smaller units, whose logical connections define a network in a natural way. This network reflects the internal structure of the program, and defines the…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alessandro P. S. de Moura , Ying-Cheng Lai , Adilson E. Motter

Scaling laws in deep learning -- empirical power-law relationships linking model performance to resource growth -- have emerged as simple yet striking regularities across architectures, datasets, and tasks. These laws are particularly…

Machine Learning · Computer Science 2026-05-01 Francesco D'Amico , Dario Bocchi , Matteo Negri

When trained on diverse labeled data, machine learning models have proven themselves to be a powerful tool in all facets of society. However, due to budget limitations, deliberate or non-deliberate censorship, and other problems during data…

Machine Learning · Statistics 2022-03-25 Thomas Kehrenberg , Myles Bartlett , Viktoriia Sharmanska , Novi Quadrianto

Scaling the amount of compute used to train language models has dramatically improved their capabilities. However, when it comes to inference, we often limit models to making only one attempt at a problem. Here, we explore inference compute…

Machine Learning · Computer Science 2025-01-03 Bradley Brown , Jordan Juravsky , Ryan Ehrlich , Ronald Clark , Quoc V. Le , Christopher Ré , Azalia Mirhoseini

This paper proposes inverse feature learning as a novel supervised feature learning technique that learns a set of high-level features for classification based on an error representation approach. The key contribution of this method is to…

Machine Learning · Computer Science 2020-03-10 Behzad Ghazanfari , Fatemeh Afghah , MohammadTaghi Hajiaghayi

Scaling laws describing the dependence of neural network performance on the amount of training data, the spent compute, and the network size have emerged across a huge variety of machine learning task and datasets. In this work, we…

High Energy Physics - Phenomenology · Physics 2026-01-21 Henning Bahl , Victor Bresó-Pla , Anja Butter , Joaquín Iturriza Ramirez

The problem of interpretability of machine learning architecture in particle physics has no agreed-upon definition, much less any proposed solution. We present a first modest step toward these goals by proposing a definition and…

High Energy Physics - Phenomenology · Physics 2025-03-11 Andrew J. Larkoski

Assumptions about invariances or symmetries in data can significantly increase the predictive power of statistical models. Many commonly used models in machine learning are constraint to respect certain symmetries in the data, such as…

Machine Learning · Statistics 2022-08-03 Tycho F. A. van der Ouderaa , Mark van der Wilk

The extensive adoption of Deep Neural Networks has led to their increased utilization in challenging scientific visualization tasks. Recent advancements in building compressed data models using implicit neural representations have shown…

Machine Learning · Computer Science 2025-10-20 Abhay Kumar Dwivedi , Shanu Saklani , Soumya Dutta

Most approaches to human attribute and action recognition in still images are based on image representation in which multi-scale local features are pooled across scale into a single, scale-invariant encoding. Both in bag-of-words and the…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Fahad Shahbaz Khan , Joost van de Weijer , Rao Muhammad Anwer , Andrew D. Bagdanov , Michael Felsberg , Jorma Laaksonen

Convolutional Neural Networks (CNNs) have recently emerged as the dominant model in computer vision. If provided with enough training data, they predict almost any visual quantity. In a discrete setting, such as classification, CNNs are not…

Computer Vision and Pattern Recognition · Computer Science 2015-11-25 Deepak Pathak , Philipp Krähenbühl , Stella X. Yu , Trevor Darrell

Statistical learning algorithms are finding more and more applications in science and technology. Atomic-scale modeling is no exception, with machine learning becoming commonplace as a tool to predict energy, forces and properties of…

Chemical Physics · Physics 2020-12-09 Félix Musil , Michele Ceriotti

Subspace clustering assumes that the data is sepa-rable into separate subspaces. Such a simple as-sumption, does not always hold. We assume that, even if the raw data is not separable into subspac-es, one can learn a representation…

Machine Learning · Computer Science 2019-12-11 Jyoti Maggu , Angshul Majumdar , Emilie Chouzenoux

Unlike standard object classification, where the image to be classified contains one or multiple instances of the same object, indoor scene classification is quite different since the image consists of multiple distinct objects. Further,…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Munawar Hayat , Salman H. Khan , Mohammed Bennamoun , Senjian An

We study empirical scaling laws for language model performance on the cross-entropy loss. The loss scales as a power-law with model size, dataset size, and the amount of compute used for training, with some trends spanning more than seven…

Power iteration has been generalized to solve many interesting problems in machine learning and statistics. Despite its striking success, theoretical understanding of when and how such an algorithm enjoys good convergence property is…

Optimization and Control · Mathematics 2020-06-12 Cheolmin Kim , Youngseok Kim , Diego Klabjan

For a given distribution, learning algorithm, and performance metric, the rate of convergence (or data-scaling law) is the asymptotic behavior of the algorithm's test performance as a function of number of train samples. Many learning…

Machine Learning · Computer Science 2021-11-10 Preetum Nakkiran

Spectral clustering is a popular unsupervised learning technique which is able to partition unlabelled data into disjoint clusters of distinct shapes. However, the data under consideration are often experimental data, implying that the data…

Machine Learning · Statistics 2025-05-26 Jürgen Dölz , Jolanda Weygandt
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