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We present a computational method for empirically characterizing the training loss level-sets of deep neural networks. Our method numerically constructs a path in parameter space that is constrained to a set with a fixed near-zero training…

Machine Learning · Computer Science 2021-04-27 Naveed Tahir , Garrett E. Katz

Recent years have witnessed a hot wave of deep neural networks in various domains; however, it is not yet well understood theoretically. A theoretical characterization of deep neural networks should point out their approximation ability and…

Machine Learning · Computer Science 2022-10-28 Gao Zhang , Jin-Hui Wu , Shao-Qun Zhang

Deep Neural Networks (DNNs) have performed admirably in classification tasks. However, the characterization of their classification uncertainties, required for certain applications, has been lacking. In this work, we investigate the issue…

Machine Learning · Computer Science 2023-11-28 Yu Pan , Kwo-Sen Kuo , Michael L. Rilee , Hongfeng Yu

Structural features are important features in a geometrical graph. Although there are some correlation analysis of features based on covariance, there is no relevant research on structural feature correlation analysis with graph neural…

Machine Learning · Computer Science 2022-05-03 Jiaqing Xie , Rex Ying

We present and discuss a new method to extract parton distribution functions from hard scattering processes based on an alternative type of neural network, the Self-Organizing Map. Quantitative results including a detailed treatment of…

High Energy Physics - Phenomenology · Physics 2013-09-30 Evan Askanazi , Katherine Holcomb , Simonetta Liuti

Artificial and biological agents cannon learn given completely random and unstructured data. The structure of data is encoded in the metric relationships between data points. In the context of neural networks, neuronal activity within a…

Machine Learning · Computer Science 2022-11-03 Kosio Beshkov , Jonas Verhellen , Mikkel Elle Lepperød

We introduce the neural network approach to global fits of parton distribution functions. First we review previous work on unbiased parametrizations of deep-inelastic structure functions with faithful estimation of their uncertainties, and…

High Energy Physics - Phenomenology · Physics 2019-08-14 Joan Rojo , Andrea Piccione

We study mechanisms to characterize how the asymptotic convergence of backpropagation in deep architectures, in general, is related to the network structure, and how it may be influenced by other design choices including activation type,…

Machine Learning · Computer Science 2017-03-02 Vamsi K Ithapu , Sathya N Ravi , Vikas Singh

Deep learning and convolutional neural networks in particular are powerful and promising tools for cosmological analysis of large-scale structure surveys. They are already providing similar performance to classical analysis methods using…

Cosmology and Nongalactic Astrophysics · Physics 2026-05-06 Gaspard Aymerich , Tomasz Kacprzak , Alexandre Refregier

We present a new technique named "Meta Deformation Network" for 3D shape matching via deformation, in which a deep neural network maps a reference shape onto the parameters of a second neural network whose task is to give the correspondence…

Computer Vision and Pattern Recognition · Computer Science 2020-06-29 Daohan Lu , Yi Fang

Deep neural networks have achieved impressive performance on a variety of tasks, but their brittleness to distributional shifts remains a significant barrier to real-world deployment. In this paper, we propose a framework to analyse and…

Machine Learning · Computer Science 2026-05-21 Divij Khaitan , Subhashis Banerjee

We present probabilistic neural programs, a framework for program induction that permits flexible specification of both a computational model and inference algorithm while simultaneously enabling the use of deep neural networks.…

Neural and Evolutionary Computing · Computer Science 2016-12-05 Kenton W. Murray , Jayant Krishnamurthy

Adapting pre-trained foundation models for various downstream tasks has been prevalent in artificial intelligence. Due to the vast number of tasks and high costs, adjusting all parameters becomes unfeasible. To mitigate this, several…

Computer Vision and Pattern Recognition · Computer Science 2025-02-07 Chongjie Si , Xuehui Wang , Xue Yang , Zhengqin Xu , Qingyun Li , Jifeng Dai , Yu Qiao , Xiaokang Yang , Wei Shen

Deep learning has achieved impressive performance on many tasks in recent years. However, it has been found that it is still not enough for deep neural networks to provide only point estimates. For high-risk tasks, we need to assess the…

Machine Learning · Computer Science 2021-04-28 Yuandu Lai , Yucheng Shi , Yahong Han , Yunfeng Shao , Meiyu Qi , Bingshuai Li

Neural Networks (NN) has been used in many areas with great success. When a NN's structure (Model) is given, during the training steps, the parameters of the model are determined using an appropriate criterion and an optimization algorithm…

Machine Learning · Computer Science 2024-08-15 Ali Mohammad-Djafari , Ning Chu , Li Wang , Caifang Cai , Liang Yu

We present a class of algorithms capable of directly training deep neural networks with respect to large families of task-specific performance measures such as the F-measure and the Kullback-Leibler divergence that are structured and…

Machine Learning · Statistics 2021-09-22 Amartya Sanyal , Pawan Kumar , Purushottam Kar , Sanjay Chawla , Fabrizio Sebastiani

Estimating the governing equation parameter values is essential for integrating experimental data with scientific theory to understand, validate, and predict the dynamics of complex systems. In this work, we propose a new method for…

Dynamical Systems · Mathematics 2025-06-27 Cristian López , Keegan J. Moore

Physics-informed neural networks have emerged as a powerful tool in the scientific machine learning community, with applications to both forward and inverse problems. While they have shown considerable empirical success, significant…

Optimization and Control · Mathematics 2025-12-11 Federica Caforio , Martin Holler , Matthias Höfler

In this paper we present a method using deep learning to compute parametrizations for B-spline curve approximation. Existing methods consider the computation of parametric values and a knot vector as separate problems. We propose to train…

Computational Geometry · Computer Science 2018-07-24 Pascal Laube , Matthias O. Franz , Georg Umlauf

Many analyses in particle and nuclear physics use simulations to infer fundamental, effective, or phenomenological parameters of the underlying physics models. When the inference is performed with unfolded cross sections, the observables…

Data Analysis, Statistics and Probability · Physics 2024-09-19 Owen Long , Benjamin Nachman