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We propose a new approach to the problem of neural network expressivity, which seeks to characterize how structural properties of a neural network family affect the functions it is able to compute. Our approach is based on an interrelated…

Machine Learning · Statistics 2017-06-20 Maithra Raghu , Ben Poole , Jon Kleinberg , Surya Ganguli , Jascha Sohl-Dickstein

Learning expressive probabilistic models correctly describing the data is a ubiquitous problem in machine learning. A popular approach for solving it is mapping the observations into a representation space with a simple joint distribution,…

Machine Learning · Statistics 2020-10-28 Luigi Gresele , Giancarlo Fissore , Adrián Javaloy , Bernhard Schölkopf , Aapo Hyvärinen

Network weights can be reverse-engineered given enough informative samples of a network's input-output function. In a teacher-student setup, this translates into collecting a dataset of the teacher mapping -- querying the teacher -- and…

Artificial Intelligence · Computer Science 2025-11-26 Alexander Beiser , Flavio Martinelli , Wulfram Gerstner , Johanni Brea

Model pruning seeks to induce sparsity in a deep neural network's various connection matrices, thereby reducing the number of nonzero-valued parameters in the model. Recent reports (Han et al., 2015; Narang et al., 2017) prune deep networks…

Machine Learning · Statistics 2017-11-15 Michael Zhu , Suyog Gupta

Decision trees are popular machine learning models that are simple to build and easy to interpret. Even though algorithms to learn decision trees date back to almost 50 years, key properties affecting their generalization error are still…

Machine Learning · Computer Science 2020-10-16 Jean-Samuel Leboeuf , Frédéric LeBlanc , Mario Marchand

Deep neural networks have evolved to become power demanding and consequently difficult to apply to small-size mobile platforms. Network parameter reduction methods have been introduced to systematically deal with the computational and…

Computer Vision and Pattern Recognition · Computer Science 2020-05-12 Mahdi Biparva , John Tsotsos

In recent years, deep neural network exhibits its powerful superiority on information discrimination in many computer vision applications. However, the capacity of deep neural network architecture is still a mystery to the researchers.…

Computer Vision and Pattern Recognition · Computer Science 2018-02-20 Aosen Wang , Hua Zhou , Wenyao Xu , Xin Chen

Convolutional Neural Networks (CNNs) have a large number of parameters and take significantly large hardware resources to compute, so edge devices struggle to run high-level networks. This paper proposes a novel method to reduce the…

Computer Vision and Pattern Recognition · Computer Science 2023-01-27 Athul Shibu , Abhishek Kumar , Heechul Jung , Dong-Gyu Lee

Deep neural networks have excelled on a wide range of problems, from vision to language and game playing. Neural networks very gradually incorporate information into weights as they process data, requiring very low learning rates. If the…

Contextual Partitioning introduces an innovative approach to enhancing the architectural design of large-scale computational models through the dynamic segmentation of parameters into context-aware regions. This methodology emphasizes the…

Computation and Language · Computer Science 2025-08-11 Offa Kingsleigh , Alfred Abercrombie , David Woolstencroft , Beorhtric Meadowcroft , Marcus Irvin

In computer vision and machine learning, a crucial challenge is to lower the computation and memory demands for neural network inference. A commonplace solution to address this challenge is through the use of binarization. By binarizing the…

Machine Learning · Computer Science 2023-07-06 Guy Berger , Aviv Navon , Ethan Fetaya

We propose an algorithm for inexpensive gradient-based hyperparameter optimization that combines the implicit function theorem (IFT) with efficient inverse Hessian approximations. We present results about the relationship between the IFT…

Machine Learning · Computer Science 2019-11-11 Jonathan Lorraine , Paul Vicol , David Duvenaud

We study budget constrained network upgradeable problems. We are given an undirected edge weighted graph $G=(V,E)$ where the weight an edge $e \in E$ can be upgraded for a cost $c(e)$. Given a budget $B$ for improvement, the goal is to find…

Data Structures and Algorithms · Computer Science 2014-12-12 Debjyoti Saharoy , Sandeep Sen

We employ constraints to control the parameter space of deep neural networks throughout training. The use of customized, appropriately designed constraints can reduce the vanishing/exploding gradients problem, improve smoothness of…

Machine Learning · Computer Science 2021-06-22 Benedict Leimkuhler , Tiffany Vlaar , Timothée Pouchon , Amos Storkey

We consider deep multivariate models for heterogeneous collections of random variables. In the context of computer vision, such collections may e.g. consist of images, segmentations, image attributes, and latent variables. When developing…

Machine Learning · Computer Science 2026-02-03 Dmitrij Schlesinger , Boris Flach , Alexander Shekhovtsov

We consider questions related to the computation of the capacity of codes that avoid forbidden difference patterns. The maximal number of $n$-bit sequences whose pairwise differences do not contain some given forbidden difference patterns…

Information Theory · Computer Science 2016-11-17 Vincent D. Blondel , Raphael Jungers , Vladimir Protasov

Modern iterations of deep learning models contain millions (billions) of unique parameters, each represented by a b-bit number. Popular attempts at compressing neural networks (such as pruning and quantisation) have shown that many of the…

Machine Learning · Computer Science 2022-10-26 Christopher Subia-Waud , Srinandan Dasmahapatra

Machine learning tasks are generally formulated as optimization problems, where one searches for an optimal function within a certain functional space. In practice, parameterized functional spaces are considered, in order to be able to…

Artificial Intelligence · Computer Science 2024-12-13 Manon Verbockhaven , Sylvain Chevallier , Guillaume Charpiat , Théo Rudkiewicz

Standard meta-learning for representation learning aims to find a common representation to be shared across multiple tasks. The effectiveness of these methods is often limited when the nuances of the tasks' distribution cannot be captured…

Machine Learning · Computer Science 2021-03-31 Giulia Denevi , Massimiliano Pontil , Carlo Ciliberto

Traditionally, deep learning algorithms update the network weights whereas the network architecture is chosen manually, using a process of trial and error. In this work, we propose two novel approaches that automatically update the network…

Machine Learning · Computer Science 2018-04-10 Ozan İrsoy , Ethem Alpaydın