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Engineering problems frequently require solution of governing equations with spatially-varying discontinuous coefficients. Even for linear elliptic problems, mapping large ensembles of coefficient fields to solutions can become a major…

机器学习 · 计算机科学 2024-11-12 Conlain Kelly , Surya R. Kalidindi

In this work, we propose a distributed adaptive observer for a class of nonlinear networked systems inspired by biophysical neural network models. Neural systems learn by adjusting intrinsic and synaptic weights in a distributed fashion,…

系统与控制 · 电气工程与系统科学 2022-09-22 Thiago B. Burghi , Timothy O'Leary , Rodolphe Sepulchre

We propose a new neural network based method for solving inverse problems for partial differential equations (PDEs) by formulating the PDE inverse problem as a bilevel optimization problem. At the upper level, we minimize the data loss with…

机器学习 · 计算机科学 2026-01-08 Ray Zirui Zhang , Christopher E. Miles , Xiaohui Xie , John S. Lowengrub

An algorithm is described that adaptively learns a non-linear mutation distribution. It works by training a denoising autoencoder (DA) online at each generation of a genetic algorithm to reconstruct a slowly decaying memory of the best…

神经与进化计算 · 计算机科学 2014-04-08 Alexander W. Churchill , Siddharth Sigtia , Chrisantha Fernando

Type 1 Diabetes (T1D) management is a complex task due to many variability factors. Artificial Pancreas (AP) systems have alleviated patient burden by automating insulin delivery through advanced control algorithms. However, the…

机器学习 · 计算机科学 2025-11-03 Stefano De Carli , Nicola Licini , Davide Previtali , Fabio Previdi , Antonio Ferramosca

We investigate time encoding as an alternative method to classical sampling, and address the problem of reconstructing classes of non-bandlimited signals from time-based samples. We consider a sampling mechanism based on first filtering the…

信号处理 · 电气工程与系统科学 2019-12-17 Roxana Alexandru , Pier Luigi Dragotti

The identification and modeling of time-varying systems is a fundamental challenge in signal processing and system identification. To address this challenge, we propose a class of time-varying state-space model (SSM) based neural networks…

机器学习 · 计算机科学 2026-05-18 Sanja Karilanova , Subhrakanti Dey , Ayça Özçelikkale

Recurrent Neural Networks (RNNs) have shown great success in modeling time-dependent patterns, but there is limited research on their learned representations of latent temporal features and the emergence of these representations during…

机器学习 · 计算机科学 2023-06-13 Peter DelMastro , Rushiv Arora , Edward Rietman , Hava T. Siegelmann

In the paper, we discuss the reconstruction of scalar parameters in a linear diffusion equation with fractional in time differential operators and with additional nonlocal (convolution) terms, which incorporate memory effects in models.…

偏微分方程分析 · 数学 2026-03-30 Sergii V. Siryk , Lidiia Tereshchenko , Nataliya Vasylyeva

Diffusion Probabilistic Models (DPMs) have achieved great success in image generation but suffer from high inference latency due to their iterative denoising nature. Motivated by the evolving feature dynamics across the denoising…

计算机视觉与模式识别 · 计算机科学 2026-03-23 Haodong He , Yuan Gao , Weizhong Zhang , Gui-Song Xia

Using a Deep Neuronal Network model (DNN) trained on the large ANI-1 data set of small organic molecules, we propose a transferable density-free many-body dispersion model (DNN-MBD). The DNN strategy bypasses the explicit Hirshfeld…

This paper presents a control synthesis algorithm for dynamical systems to satisfy specifications given in a fragment of linear temporal logic. It is based on an abstraction-refinement scheme with nonuniform partitions of the state space. A…

系统与控制 · 计算机科学 2018-04-13 Oscar Lindvall Bulancea , Petter Nilsson , Necmiye Ozay

Classical high-order weighted essentially non-oscillatory (WENO) schemes are designed to achieve optimal convergence order for smooth solutions and to maintain non-oscillatory behaviors for discontinuities. However, their spectral…

数值分析 · 数学 2025-08-20 Jinrui Zhou , Yiqi Gu , Song Jiang , Hua Shen , Liwei Xu , Guanyu Zhou

We address the problem of inferring an undirected graph from nodal observations, which are modeled as non-stationary graph signals generated by local diffusion dynamics that depend on the structure of the unknown network. Using the…

信号处理 · 电气工程与系统科学 2019-02-01 Rasoul Shafipour , Santiago Segarra , Antonio G. Marques , Gonzalo Mateos

We propose an autoencoding sequence-based transceiver for communication over dispersive channels with intensity modulation and direct detection (IM/DD), designed as a bidirectional deep recurrent neural network (BRNN). The receiver uses a…

信息论 · 计算机科学 2019-07-24 Boris Karanov , Domaniç Lavery , Polina Bayvel , Laurent Schmalen

As a class of generative artificial intelligence frameworks inspired by statistical physics, diffusion models have shown extraordinary performance in synthesizing complicated data distributions through a denoising process gradually guided…

机器学习 · 计算机科学 2026-04-23 Fangjun Hu , Guangkuo Liu , Yifan F. Zhang , Xun Gao

Reduced order models are becoming increasingly important for rendering complex and multiscale spatio-temporal dynamics computationally tractable. The computational efficiency of such surrogate models is especially important for design,…

等离子体物理 · 物理学 2024-05-21 J. Nathan Kutz , Maryam Reza , Farbod Faraji , Aaron Knoll

Deep neural networks trained with standard cross-entropy loss are more prone to memorize noisy labels, which degrades their performance. Negative learning using complementary labels is more robust when noisy labels intervene but with an…

机器学习 · 计算机科学 2022-09-07 Chen-Chen Zong , Zheng-Tao Cao , Hong-Tao Guo , Yun Du , Ming-Kun Xie , Shao-Yuan Li , Sheng-Jun Huang

Neural operators aim to approximate the solution operator of a system of differential equations purely from data. They have shown immense success in modeling complex dynamical systems across various domains. However, the occurrence of…

机器学习 · 计算机科学 2025-04-01 Christopher Bülte , Philipp Scholl , Gitta Kutyniok

We introduce an order-invariant reinforcement learning framework for black-box combinatorial optimization. Classical estimation-of-distribution algorithms (EDAs) often rely on learning explicit variable dependency graphs, which can be…

机器学习 · 计算机科学 2026-01-30 Olivier Goudet , Quentin Suire , Adrien Goëffon , Frédéric Saubion , Sylvain Lamprier
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