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We propose a trainable-by-parts surrogate model for solving forward and inverse parameterized nonlinear partial differential equations. Like several other surrogate and operator learning models, the proposed approach employs an encoder to…

Machine Learning · Computer Science 2025-08-07 Yifei Zong , Alexandre M. Tartakovsky

As in many fields of medical research, survival analysis has witnessed a growing interest in the application of deep learning techniques to model complex, high-dimensional, heterogeneous, incomplete, and censored medical data. Current…

Machine Learning · Computer Science 2023-12-25 Patricia A. Apellániz , Juan Parras , Santiago Zazo

This paper introduces a comprehensive open-source framework for developing correlation kernels, with a particular focus on user-defined and composition of kernels for surrogate modeling. By advancing kernel-based modeling techniques, we…

Machine Learning · Computer Science 2025-07-15 Nicolas Gonel , Paul Saves , Joseph Morlier

This paper develops a surrogate model refinement approach for the simulation of dynamical systems and the solution of optimization problems governed by dynamical systems in which surrogates replace expensive-to-compute state- and…

Optimization and Control · Mathematics 2025-09-08 Jonathan R. Cangelosi , Matthias Heinkenschloss

The paper presents the application of Variational Autoencoders (VAE) for data dimensionality reduction and explorative analysis of mass spectrometry imaging data (MSI). The results confirm that VAEs are capable of detecting the patterns…

Quantitative Methods · Quantitative Biology 2017-08-25 Paolo Inglese , James L. Alexander , Anna Mroz , Zoltan Takats , Robert Glen

Modelling carbon monoxide (CO) line radiation is computationally expensive for traditional numerical solvers, especially when applied to complex, three-dimensional stellar atmospheres. We present COEmuNet, a 3D convolutional neural network…

Instrumentation and Methods for Astrophysics · Physics 2025-07-16 Shiqi Su , Frederik De Ceuster , Jaehoon Cha , Mark I. Wilkinson , Jeyan Thiyagalingam , Jeremy Yates , Yi-Hang Zhu , Jan Bolte

Automatically designing fast and space-efficient digital circuits is challenging because circuits are discrete, must exactly implement the desired logic, and are costly to simulate. We address these challenges with CircuitVAE, a search…

Machine Learning · Computer Science 2024-06-17 Jialin Song , Aidan Swope , Robert Kirby , Rajarshi Roy , Saad Godil , Jonathan Raiman , Bryan Catanzaro

Variational Autoencoders (VAEs) typically rely on a probabilistic decoder with a predefined likelihood, most commonly an isotropic Gaussian, to model the data conditional on latent variables. While convenient for optimization, this choice…

Machine Learning · Statistics 2025-04-29 Chen Xu , Qiang Wang , Lijun Sun

Stochastic simulators are non-deterministic computer models which provide a different response each time they are run, even when the input parameters are held at fixed values. They arise when additional sources of uncertainty are affecting…

Computation · Statistics 2023-02-01 Nora Lüthen , Stefano Marelli , Bruno Sudret

Classical methods for model order selection often fail in scenarios with low SNR or few snapshots. Deep learning-based methods are promising alternatives for such challenging situations as they compensate lack of information in the…

Signal Processing · Electrical Eng. & Systems 2023-12-07 Michael Baur , Franz Weißer , Benedikt Böck , Wolfgang Utschick

Advances in latent diffusion models (LDMs) have revolutionized high-resolution image generation, but the design space of the autoencoder that is central to these systems remains underexplored. In this paper, we introduce LiteVAE, a new…

Machine Learning · Computer Science 2025-01-22 Seyedmorteza Sadat , Jakob Buhmann , Derek Bradley , Otmar Hilliges , Romann M. Weber

High-fidelity numerical simulation of subsurface flow is computationally intensive, especially for many-query tasks such as uncertainty quantification and data assimilation. Deep learning (DL) surrogates can significantly accelerate forward…

Machine Learning · Computer Science 2026-04-15 Jiale Liu , Nanzhe Wang

The Linear Parameter-Varying (LPV) framework enables the construction of surrogate models of complex nonlinear and high-dimensional systems, facilitating efficient stability and performance analysis together with controller design. Despite…

Systems and Control · Electrical Eng. & Systems 2026-04-01 E. Javier Olucha , Valentin Preda , Amritam Das , Roland Tóth

Gravitational-wave approximants are essential for gravitational-wave astronomy, allowing the coverage binary black hole parameter space for inference or match filtering without costly numerical relativity (NR) simulations, but generally…

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

Applications · Statistics 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

We present simulated observations to assess the ability of LSST and the WFD survey to detect and characterize kilonovae - the optical emission associated with binary neutron star (and possibly black hole - neutron star) mergers. We expand…

High Energy Astrophysical Phenomena · Physics 2019-04-03 P. S. Cowperthwaite , V. A. Villar , D. M. Scolnic , E. Berger

Variational autoencoders (VAEs) are a popular class of deep generative models with many variants and a wide range of applications. Improvements upon the standard VAE mostly focus on the modelling of the posterior distribution over the…

Machine Learning · Computer Science 2022-11-02 James Langley , Miguel Monteiro , Charles Jones , Nick Pawlowski , Ben Glocker

This paper introduces a novel two-stage machine learning-based surrogate modeling framework to address inverse problems in scientific and engineering fields. In the first stage of the proposed framework, a machine learning model termed the…

Machine Learning · Computer Science 2024-01-05 Farhad Pourkamali-Anaraki , Jamal F. Husseini , Evan J. Pineda , Brett A. Bednarcyk , Scott E. Stapleton

Kilonova spectra provide us with information of r-process nucleosynthesis in neutron star mergers. However, it is still challenging to identify individual elements in the spectra mainly due to lack of experimentally accurate atomic data for…

High Energy Astrophysical Phenomena · Physics 2023-09-06 Nanae Domoto , Jae-Joon Lee , Masaomi Tanaka , Ho-Gyu Lee , Wako Aoki , Miho N. Ishigaki , Shinya Wanajo , Daiji Kato , Kenta Hotokezaka

In this contribution, we propose a data-driven procedure to fit quadratic-bilinear surrogate models from data. Although the dynamics characterizing the original model are strongly nonlinear, we rely on lifting techniques to embed the…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Dimitrios S. Karachalios , Ion Victor Gosea , Athanasios C. Antoulas