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We present a scale-bridging approach based on a multi-fidelity (MF) machine-learning (ML) framework leveraging Gaussian processes (GP) to fuse atomistic computational model predictions across multiple levels of fidelity. Through the…

计算物理 · 物理学 2020-08-06 Anh Tran , Julien Tranchida , Tim Wildey , Aidan P. Thompson

We introduce a novel capacity measure 2sED for statistical models based on the effective dimension. The new quantity provably bounds the generalization error under mild assumptions on the model. Furthermore, simulations on standard data…

机器学习 · 统计学 2025-07-03 Massimiliano Datres , Gian Paolo Leonardi , Alessio Figalli , David Sutter

With the surge of inexpensive computational and memory resources, neural networks (NNs) have experienced an unprecedented growth in architectural and computational complexity. Introducing NNs to resource-constrained devices enables…

机器学习 · 计算机科学 2021-04-22 Lennart Heim , Andreas Biri , Zhongnan Qu , Lothar Thiele

The theory of spin models intersects with condensed matter physics, complex systems, graph theory, combinatorial optimization, computational complexity and neural networks. Many ensuing applications rely on the fact that complicated spin…

数学物理 · 物理学 2024-08-02 Tobias Reinhart , Benjamin Engel , Gemma De les Coves

In this paper, we study the compression of a target two-layer neural network with N nodes into a compressed network with M<N nodes. More precisely, we consider the setting in which the weights of the target network are i.i.d. sub-Gaussian,…

信息论 · 计算机科学 2022-08-17 Mohammad Hossein Amani , Simone Bombari , Marco Mondelli , Rattana Pukdee , Stefano Rini

Traditional optimization-based techniques for time-synchronized state estimation (SE) often suffer from high online computational burden, limited phasor measurement unit (PMU) coverage, and presence of non-Gaussian measurement noise.…

系统与控制 · 电气工程与系统科学 2025-06-05 Shiva Moshtagh , Behrouz Azimian , Mohammad Golgol , Anamitra Pal

Parallel imaging is a commonly used technique to accelerate magnetic resonance imaging (MRI) data acquisition. Mathematically, parallel MRI reconstruction can be formulated as an inverse problem relating the sparsely sampled k-space…

图像与视频处理 · 电气工程与系统科学 2023-11-23 Ruimin Feng , Qing Wu , Jie Feng , Huajun She , Chunlei Liu , Yuyao Zhang , Hongjiang Wei

We develop a fidelity-informed neural pulse-compilation framework for a continuous family of single-qubit gates on a three-qubit liquid-state nuclear magnetic resonance (NMR) processor. Instead of decomposing each target unitary into a…

Knowledge Graph Completion (KGC) aims to predict the missing information in the (head entity)-[relation]-(tail entity) triplet. Deep Neural Networks have achieved significant progress in the relation prediction task. However, most existing…

计算与语言 · 计算机科学 2024-08-15 Pengjie Liu

Building on our recent research on neural heuristic quantization systems, results on learning quantized motions and resilience to channel dropouts are reported. We propose a general emulation problem consistent with the neuromimetic…

系统与控制 · 电气工程与系统科学 2023-05-08 Zexin Sun , John Baillieul

In engineering design, surrogate models are widely employed to replace computationally expensive simulations by leveraging design variables and geometric parameters from computer-aided design (CAD) models. However, these models often lose…

机器学习 · 计算机科学 2024-06-05 Jangseop Park , Namwoo Kang

Gaussian processes are employed for non-parametric regression in a Bayesian setting. They generalize linear regression, embedding the inputs in a latent manifold inside an infinite-dimensional reproducing kernel Hilbert space. We can…

数值分析 · 数学 2021-07-13 Francesco Romor , Marco Tezzele , Gianluigi Rozza

We introduce a novel, fast, and efficient generative model built upon scattering covariances, the most recent iteration of the scattering transforms statistics. This model is designed to augment by several orders of magnitude the number of…

宇宙学与河外天体物理 · 物理学 2025-08-13 P. Campeti , J. -M. Delouis , L. Pagano , E. Allys , M. Lattanzi , M. Gerbino

This paper presents a novel framework combining group equivariant convolutional neural networks (G-CNNs) with equivariant-aware structured pruning to produce compact, transformation-invariant models for resource-constrained environments.…

计算机视觉与模式识别 · 计算机科学 2025-11-24 Mohammed Alnemari

We introduce GINKAKU, a new cosmological $N$-body code developed for the Dark Quest II (DQ2) simulation campaign and designed for controlled ensemble production across the cosmological model space required by next-generation galaxy surveys,…

宇宙学与河外天体物理 · 物理学 2026-05-28 Takahiro Nishimichi , Satoshi Tanaka , Kohji Yoshikawa

Classical simulation is essential in quantum algorithm development and quantum device verification. With the increasing complexity and diversity of quantum circuit structures, existing classical simulation algorithms need to be improved and…

分布式、并行与集群计算 · 计算机科学 2025-04-15 Yaojian Chen , Zhaoqi Sun , Chengyu Qiu , Zegang Li , Yanfei Liu , Lin Gan , Xiaohui Duan , Guangwen Yang

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…

数值分析 · 数学 2021-12-22 Mengwu Guo , Andrea Manzoni , Maurice Amendt , Paolo Conti , Jan S. Hesthaven

The computational cost associated with high-fidelity CFD simulations remains a significant bottleneck in the automotive design and optimization cycle. While ML-based surrogate models have emerged as a promising alternative to accelerate…

机器学习 · 计算机科学 2025-09-01 Mohammad Amin Nabian , Sanjay Choudhry

With the rapid development of Deep Learning, more and more applications on the cloud and edge tend to utilize large DNN (Deep Neural Network) models for improved task execution efficiency as well as decision-making quality. Due to memory…

机器学习 · 计算机科学 2024-07-02 Jingran Shen , Nikos Tziritas , Georgios Theodoropoulos

Quantum simulation, the simulation of quantum processes on quantum computers, suggests a path forward for the efficient simulation of problems in condensed-matter physics, quantum chemistry, and materials science. While the majority of…

量子物理 · 物理学 2022-10-03 Paul K. Faehrmann , Mark Steudtner , Richard Kueng , Maria Kieferova , Jens Eisert
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