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The distinctive architectural features of normalizing flows (NFs), notably bijectivity and tractable Jacobians, make them well-suited for generative modeling. Invertible neural networks (INNs) build on these principles to address supervised…

机器学习 · 计算机科学 2026-02-25 Shubhanshu Shekhar , Mohammad Javad Khojasteh , Ananya Acharya , Tony Tohme , Kamal Youcef-Toumi

Numerical simulation of ordinary differential equations (ODEs) can be challenging when the system exhibits high accelerations and rapidly changing dynamics. Under these conditions the ODE solver often needs to take very small time steps in…

数值分析 · 数学 2026-05-11 Andrew Tagg , Andrew Frandsen , Andrew Ning

A promising approach to optimal control of nonlinear systems involves iteratively linearizing the system and solving an optimization problem at each time instant to determine the optimal control input. Since this approach relies on online…

最优化与控制 · 数学 2025-01-30 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

We propose a novel, brain-inspired deep neural network model known as the Deep Oscillatory Neural Network (DONN). Deep neural networks like the Recurrent Neural Networks indeed possess sequence processing capabilities but the internal…

神经与进化计算 · 计算机科学 2024-09-10 Nurani Rajagopal Rohan , Vigneswaran C , Sayan Ghosh , Kishore Rajendran , Gaurav A , V Srinivasa Chakravarthy

This paper proposes a novel inverse kinematics (IK) solver of articulated robotic systems for path planning. IK is a traditional but essential problem for robot manipulation. Recently, data-driven methods have been proposed to quickly solve…

机器人学 · 计算机科学 2022-09-02 Suhan Park , Mathew Schwartz , Jaeheung Park

Diffractive optical neural networks (DONNs) have been emerging as a high-throughput and energy-efficient hardware platform to perform all-optical machine learning (ML) in machine vision systems. However, the current demonstrated…

机器学习 · 计算机科学 2023-02-23 Ruiyang Chen , Yingheng Tang , Jianzhu Ma , Weilu Gao

In this paper, we investigate the application of quantum and quantum-inspired machine learning algorithms to stock return predictions. Specifically, we evaluate the performance of quantum neural network, an algorithm suited for noisy…

机器学习 · 计算机科学 2024-02-28 Nozomu Kobayashi , Yoshiyuki Suimon , Koichi Miyamoto , Kosuke Mitarai

Inverse problems correspond to a certain type of optimization problems formulated over appropriate input distributions. Recently, there has been a growing interest in understanding the computational hardness of these optimization problems,…

机器学习 · 统计学 2018-09-03 Alex Nowak , Soledad Villar , Afonso S. Bandeira , Joan Bruna

Network structures are reconstructed from dynamical data by respectively naive mean field (nMF) and Thouless-Anderson-Palmer (TAP) approximations. For TAP approximation, we use two methods to reconstruct the network: a) iteration method; b)…

统计计算 · 统计学 2015-05-20 Hong-Li Zeng , Erik Aurell , Mikko Alava , Hamed Mahmoudi

Thermodynamic and magnetic properties of Ising models defined on the triangular Apollonian network are investigated. This and other similar networks are inspired by the problem of covering an Euclidian domain with circles of maximal radii.…

统计力学 · 物理学 2009-11-10 Roberto F. S. Andrade , Hans J. Herrmann

We propose a solution strategy for parameter identification in multiphase thermo-hydro-mechanical (THM) processes in porous media using physics-informed neural networks (PINNs). We employ a dimensionless form of the THM governing equations…

机器学习 · 计算机科学 2023-08-09 Danial Amini , Ehsan Haghighat , Ruben Juanes

Convolutional Neural Networks (CNNs) have recently become a favored technique for image denoising due to its adaptive learning ability, especially with a deep configuration. However, their efficacy is inherently limited owing to their…

图像与视频处理 · 电气工程与系统科学 2020-09-03 Junaid Malik , Serkan Kiranyaz , Moncef Gabbouj

The rising computational demand of modern workloads has renewed interest in energy-efficient paradigms such as neuromorphic and analog computing. A fundamental operation in these systems is matrix-vector multiplication (MVM), ubiquitous in…

介观与纳米尺度物理 · 物理学 2026-01-29 Caio Silva , Giuseppe Romano

Oscillator-based Ising machines (OIMs) and oscillator-based Potts machines (OPMs) have emerged as promising hardware accelerators for solving NP-hard combinatorial optimization problems by leveraging the phase dynamics of coupled…

硬件体系结构 · 计算机科学 2025-05-29 Yilmaz Ege Gonul , Ceyhun Efe Kayan , Ilknur Mustafazade , Nagarajan Kandasamy , Baris Taskin

We demonstrate a machine learning based approach which can learn the time-dependent electronic excitation dynamics of small molecules subjected to ion irradiation. Ensembles of recurrent neural networks are trained on data generated by…

化学物理 · 物理学 2024-09-24 Ethan P. Shapera , Cheng-Wei Lee

Circuits of biological neurons, such as in the functional parts of the brain can be modeled as networks of coupled oscillators. Inspired by the ability of these systems to express a rich set of outputs while keeping (gradients of) state…

机器学习 · 计算机科学 2021-03-16 T. Konstantin Rusch , Siddhartha Mishra

Motivated by the advantages achieved by implicit analogue net for solving online linear equations, a novel implicit neural model is designed based on conventional explicit gradient neural networks in this letter by introducing a…

神经与进化计算 · 计算机科学 2017-03-20 Ke Chen

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

流体动力学 · 物理学 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

There have been several algorithms designed to optimise matrix multiplication. From schoolbook method with complexity $O(n^3)$ to advanced tensor-based tools with time complexity $O(n^{2.3728639})$ (lowest possible bound achieved), a lot of…

数据结构与算法 · 计算机科学 2019-01-30 Shrohan Mohapatra

Systematic discovery of reduced-order closure models for multi-scale processes remains an important open problem in complex dynamical systems. Even when an effective lower-dimensional representation exists, reduced models are difficult to…

适应与自组织系统 · 物理学 2021-01-04 Jordan Snyder , Anatoly Zlotnik , Andrey Y. Lokhov