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Highly accurate numerical or physical experiments are often time-consuming or expensive to obtain. When time or budget restrictions prohibit the generation of additional data, the amount of available samples may be too limited to provide…

Numerical Analysis · Mathematics 2021-12-22 Mengwu Guo , Andrea Manzoni , Maurice Amendt , Paolo Conti , Jan S. Hesthaven

Low-dimensional embeddings for data from disparate sources play critical roles in multi-modal machine learning, multimedia information retrieval, and bioinformatics. In this paper, we propose a supervised dimensionality reduction method…

Machine Learning · Computer Science 2021-01-15 Yanjun Li , Bihan Wen , Hao Cheng , Yoram Bresler

Operator learning for complex nonlinear systems is increasingly common in modeling multi-physics and multi-scale systems. However, training such high-dimensional operators requires a large amount of expensive, high-fidelity data, either…

Numerical Analysis · Mathematics 2023-11-22 Amanda A. Howard , Mauro Perego , George E. Karniadakis , Panos Stinis

Learning from multiple sources of information is an important problem in machine-learning research. The key challenges are learning representations and formulating inference methods that take into account the complementarity and redundancy…

Machine Learning · Statistics 2018-11-20 Richard Kurle , Stephan Günnemann , Patrick van der Smagt

Data assimilation presents computational challenges because many high-fidelity models must be simulated. Various deep-learning-based surrogate modeling techniques have been developed to reduce the simulation costs associated with these…

Machine Learning · Computer Science 2022-12-28 Su Jiang , Louis J. Durlofsky

In this paper, we prove the representation defects of a cascaded convolutional decoder network, considering the capacity of representing different frequency components of an input sample. We conduct the discrete Fourier transform on each…

Machine Learning · Computer Science 2023-12-04 Ling Tang , Wen Shen , Zhanpeng Zhou , Yuefeng Chen , Quanshi Zhang

Deep convolutional neural networks (DCNN) have recently shown promising results in low-level computer vision problems such as optical flow and disparity estimation, but still, have much room to further improve their performance. In this…

Computer Vision and Pattern Recognition · Computer Science 2018-10-12 Juan Luis Gonzalez , Muhammad Sarmad , Hyunjoo J. Lee , Munchurl Kim

Learning dynamical models from data plays a vital role in engineering design, optimization, and predictions. Building models describing dynamics of complex processes (e.g., weather dynamics, or reactive flows) using empirical knowledge or…

Machine Learning · Computer Science 2024-09-21 Pawan Goyal , Peter Benner

Recent success in training deep neural networks have prompted active investigation into the features learned on their intermediate layers. Such research is difficult because it requires making sense of non-linear computations performed by…

Machine Learning · Computer Science 2016-03-01 Yixuan Li , Jason Yosinski , Jeff Clune , Hod Lipson , John Hopcroft

Recent work has shown that deep neural networks are highly sensitive to tiny perturbations of input images, giving rise to adversarial examples. Though this property is usually considered a weakness of learned models, we explore whether it…

Computer Vision and Pattern Recognition · Computer Science 2018-07-27 Jiren Zhu , Russell Kaplan , Justin Johnson , Li Fei-Fei

Multifidelity surrogate modelling combines data of varying accuracy and cost from different sources. It strategically uses low-fidelity models for rapid evaluations, saving computational resources, and high-fidelity models for detailed…

Machine Learning · Computer Science 2024-04-24 Daniel N Wilke

We present an approach for constructing a surrogate from ensembles of information sources of varying cost and accuracy. The multifidelity surrogate encodes connections between information sources as a directed acyclic graph, and is trained…

Machine Learning · Computer Science 2021-08-25 Alex Gorodetsky , John D. Jakeman , Gianluca Geraci

Operator learning frameworks, because of their ability to learn nonlinear maps between two infinite dimensional functional spaces and utilization of neural networks in doing so, have recently emerged as one of the more pertinent areas in…

Machine Learning · Computer Science 2023-07-31 Akshay Thakur , Tapas Tripura , Souvik Chakraborty

Deception detection is gaining increasing interest due to ethical and security concerns. This paper explores the application of convolutional neural networks for the purpose of multimodal deception detection. We use a dataset built by…

Computation and Language · Computer Science 2024-11-13 Panfeng Li , Mohamed Abouelenien , Rada Mihalcea , Zhicheng Ding , Qikai Yang , Yiming Zhou

Multi-fidelity Reinforcement Learning (RL) frameworks efficiently utilize computational resources by integrating analysis models of varying accuracy and costs. The prevailing methodologies, characterized by transfer learning, human-inspired…

Machine Learning · Computer Science 2025-03-25 Akash Agrawal , Christopher McComb

The success of monocular depth estimation relies on large and diverse training sets. Due to the challenges associated with acquiring dense ground-truth depth across different environments at scale, a number of datasets with distinct…

Computer Vision and Pattern Recognition · Computer Science 2020-08-26 René Ranftl , Katrin Lasinger , David Hafner , Konrad Schindler , Vladlen Koltun

Memorization of training data is an active research area, yet our understanding of the inner workings of neural networks is still in its infancy. Recently, Haim et al. (2022) proposed a scheme to reconstruct training samples from multilayer…

Machine Learning · Computer Science 2023-11-06 Gon Buzaglo , Niv Haim , Gilad Yehudai , Gal Vardi , Yakir Oz , Yaniv Nikankin , Michal Irani

Most of today's distributed machine learning systems assume {\em reliable networks}: whenever two machines exchange information (e.g., gradients or models), the network should guarantee the delivery of the message. At the same time, recent…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-17 Chen Yu , Hanlin Tang , Cedric Renggli , Simon Kassing , Ankit Singla , Dan Alistarh , Ce Zhang , Ji Liu

In this paper, we consider high-dimensional stationary processes where a new observation is generated from a compressed version of past observations. The specific evolution is modeled by an encoder-decoder structure. We estimate the…

Statistics Theory · Mathematics 2020-09-21 Nathawut Phandoidaen , Stefan Richter

Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz