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Understanding and predicting the emergence of novel materials is a fundamental challenge in condensed matter physics, materials science and technology. With the rapid growth of materials databases in both size and reliability, the challenge…

Materials Science · Physics 2025-02-14 Jacopo Moi , Davide Spallarossa , Stefano Bonetti , Raffaella Burioni , Guido Caldarelli

Our goal is to provide a review of deep learning methods which provide insight into structured high-dimensional data. Rather than using shallow additive architectures common to most statistical models, deep learning uses layers of…

Machine Learning · Statistics 2023-10-11 Nick Polson , Vadim Sokolov

We develop information geometric techniques to understand the representations learned by deep networks when they are trained on different tasks using supervised, meta-, semi-supervised and contrastive learning. We shed light on the…

Machine Learning · Computer Science 2023-07-25 Rahul Ramesh , Jialin Mao , Itay Griniasty , Rubing Yang , Han Kheng Teoh , Mark Transtrum , James P. Sethna , Pratik Chaudhari

We propose a novel approach to learning the generative neural fields represented by linear combinations of implicit basis networks. Our algorithm learns basis networks in the form of implicit neural representations and their coefficients in…

Machine Learning · Computer Science 2023-10-31 Tackgeun You , Mijeong Kim , Jungtaek Kim , Bohyung Han

The application of deep learning techniques using convolutional neural networks to the classification of particle collisions in High Energy Physics is explored. An intuitive approach to transform physical variables, like momenta of…

Computer Vision and Pattern Recognition · Computer Science 2017-08-24 Celia Fernández Madrazo , Ignacio Heredia Cacha , Lara Lloret Iglesias , Jesús Marco de Lucas

Generative models in deep learning allow for sampling probability distributions that approximate data distributions. We propose using generative models for making approximate statistical predictions in the string theory landscape. For vacua…

High Energy Physics - Theory · Physics 2020-06-24 James Halverson , Cody Long

Convolutional Neural Networks have been shown to be vulnerable to adversarial examples, which are known to locate in subspaces close to where normal data lies but are not naturally occurring and of low probability. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2020-08-27 Fu Lin , Rohit Mittapalli , Prithvijit Chattopadhyay , Daniel Bolya , Judy Hoffman

In this article, a novel approach to learning a complex function which can be written as the system of linear equations is introduced. This learning is grounded upon the observation that solving the system of linear equations by a…

Machine Learning · Computer Science 2018-10-23 Kar-Ann Toh

Deep neural networks implement a sequence of layer-by-layer operations that are each relatively easy to understand, but the resulting overall computation is generally difficult to understand. We consider a simple hypothesis for interpreting…

Machine Learning · Computer Science 2022-11-29 Richard D. Lange , Devin Kwok , Jordan Matelsky , Xinyue Wang , David S. Rolnick , Konrad P. Kording

Deep learning is emerging as a new paradigm for solving inverse imaging problems. However, the deep learning methods often lack the assurance of traditional physics-based methods due to the lack of physical information considerations in…

Image and Video Processing · Electrical Eng. & Systems 2020-07-20 Dongdong Chen , Mike E. Davies

Thanks to the availability of large scale digital datasets and massive amounts of computational power, deep learning algorithms can learn representations of data by exploiting multiple levels of abstraction. These machine learning methods…

Disordered Systems and Neural Networks · Physics 2018-10-01 Alberto Testolin , Michele Piccolini , Samir Suweis

Experiments in particle physics produce enormous quantities of data that must be analyzed and interpreted by teams of physicists. This analysis is often exploratory, where scientists are unable to enumerate the possible types of signal…

Machine Learning · Statistics 2017-05-10 Evan Racah , Seyoon Ko , Peter Sadowski , Wahid Bhimji , Craig Tull , Sang-Yun Oh , Pierre Baldi , Prabhat

Exploratory Landscape Analysis is a powerful technique for numerically characterizing landscapes of single-objective continuous optimization problems. Landscape insights are crucial both for problem understanding as well as for assessing…

Machine Learning · Computer Science 2022-04-15 Moritz Vinzent Seiler , Raphael Patrick Prager , Pascal Kerschke , Heike Trautmann

Deep learning has enjoyed tremendous success in a variety of applications but its application to quantile regressions remains scarce. A major advantage of the deep learning approach is its flexibility to model complex data in a more…

Statistics Theory · Mathematics 2021-06-14 Qixian Zhong , Jane-Ling Wang

Recurrent neural networks (RNNs) are nonlinear dynamical models commonly used in the machine learning and dynamical systems literature to represent complex dynamical or sequential relationships between variables. More recently, as deep…

Methodology · Statistics 2018-02-08 Patrick L. McDermott , Christopher K. Wikle

Recent innovations from machine learning allow for data unfolding, without binning and including correlations across many dimensions. We describe a set of known, upgraded, and new methods for ML-based unfolding. The performance of these…

Particle physics is a branch of science aiming at discovering the fundamental laws of matter and forces. Graph neural networks are trainable functions which operate on graphs---sets of elements and their pairwise relations---and are a…

High Energy Physics - Experiment · Physics 2020-10-22 Jonathan Shlomi , Peter Battaglia , Jean-Roch Vlimant

Deep learning has arguably achieved tremendous success in recent years. In simple words, deep learning uses the composition of many nonlinear functions to model the complex dependency between input features and labels. While neural networks…

Machine Learning · Statistics 2019-04-16 Jianqing Fan , Cong Ma , Yiqiao Zhong

Neural Networks sequentially build high-level features through their successive layers. We propose here a new neural network model where each layer is associated with a set of candidate mappings. When an input is processed, at each layer,…

Machine Learning · Computer Science 2014-10-03 Ludovic Denoyer , Patrick Gallinari

A long-standing problem at the interface of artificial intelligence and applied mathematics is to devise an algorithm capable of achieving human level or even superhuman proficiency in transforming observed data into predictive mathematical…

Machine Learning · Statistics 2018-01-23 Maziar Raissi