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Recent years have seen significant advances in quantum/quantum-inspired technologies capable of approximately searching for the ground state of Ising spin Hamiltonians. The promise of leveraging such technologies to accelerate the solution…

最优化与控制 · 数学 2024-01-24 Robin Brown , David E. Bernal Neira , Davide Venturelli , Marco Pavone

The problem of knowledge graph (KG) reasoning has been widely explored by traditional rule-based systems and more recently by knowledge graph embedding methods. While logical rules can capture deterministic behavior in a KG they are brittle…

人工智能 · 计算机科学 2020-09-24 Susheel Suresh , Jennifer Neville

We consider the sample efficient estimation of failure probabilities from expensive oracle evaluations of a limit state function via importance sampling (IS). In contrast to conventional ``two stage'' approaches, which first train a…

统计计算 · 统计学 2026-04-10 Ashwin Renganathan , Annie S. Booth

The application of Gaussian processes (GPs) to large data sets is limited due to heavy memory and computational requirements. A variety of methods has been proposed to enable scalability, one of which is to exploit structure in the kernel…

机器学习 · 计算机科学 2019-12-30 Jan Graßhoff , Alexandra Jankowski , Philipp Rostalski

We provide a noisy intermediate-scale quantum framework for simulating the dynamics of open quantum systems, generalized time evolution, non-linear differential equations and Gibbs state preparation. Our algorithm does not require any…

量子物理 · 物理学 2023-01-31 Tobias Haug , Kishor Bharti

We study maximum likelihood estimation for spatial generalized linear mixed models with Gaussian process approximations using a stochastic Newton-Raphson algorithm. We consider two Gaussian Process approximations in this context: spectral…

统计方法学 · 统计学 2026-05-19 Samuel I. Watson , Yixin Wang , Emanuele Giorgi

Data augmentation is a crucial step in the development of robust supervised learning models, especially when dealing with limited datasets. This study explores interpolation techniques for the augmentation of geo-referenced data, with the…

In this work, we propose and analyze optimization strategies for the VQE algorithm that combine various methods, including molecular point group symmetries (symmetry adaptation), compact excitation circuits (qubit-excitation-based),…

量子物理 · 物理学 2025-04-30 Konstantin M. Makushin , Aleksey K. Fedorov

Viscosity calculation from equilibrium molecular dynamics (MD) simulations relies on the traditional Green-Kubo (GK) framework, which integrates the stress autocorrelation function (SACF) over time. While the formalism is exact in the…

软凝聚态物质 · 物理学 2026-03-13 Akash K. Meel , Santosh Mogurampelly

There exist numerous problems in nature inherently described by finite $D$-dimensional states. Formulating these problems for execution on qubit-based quantum hardware requires mapping the qudit Hilbert space to that of multiqubit which may…

量子物理 · 物理学 2026-02-23 Shakib Daryanoosh

Quantum circuit simulation is important in the evolution of quantum software and hardware. Novel algorithms can be developed and evaluated by performing quantum circuit simulations on classical computers before physical quantum computers…

量子物理 · 物理学 2024-10-22 Yu-Tsung Wu , Po-Hsuan Huang , Kai-Chieh Chang , Chia-Heng Tu , Shih-Hao Hung

Quantum kernel methods leverage a kernel function computed by embedding input information into the Hilbert space of a quantum system. However, large Hilbert spaces can hinder generalization capability, and the scalability of quantum kernels…

量子物理 · 物理学 2024-04-16 Rodrigo Martínez-Peña , Miguel C. Soriano , Roberta Zambrini

This work develops novel strategies for optimal planning with semantic observations using continuous state partially observable markov decision processes (CPOMDPs). Two major innovations are presented in relation to Gaussian mixture (GM)…

人工智能 · 计算机科学 2019-08-09 Luke Burks , Ian Loefgren , Nisar Ahmed

Gaussian Process (GP) models are a class of flexible non-parametric models that have rich representational power. By using a Gaussian process with additive structure, complex responses can be modelled whilst retaining interpretability.…

机器学习 · 统计学 2022-06-22 Xiaoyu Lu , Alexis Boukouvalas , James Hensman

Quantum reservoir computing provides a framework for exploiting the natural dynamics of quantum systems as a computational resource. It can implement real-time signal processing and solve temporal machine learning problems in general, which…

量子物理 · 物理学 2019-03-13 Kohei Nakajima , Keisuke Fujii , Makoto Negoro , Kosuke Mitarai , Masahiro Kitagawa

Modeling spatial processes that exhibit both smooth and rough features poses a significant challenge. This is especially true in fields where complex physical variables are observed across spatial domains. Traditional spatial techniques,…

统计方法学 · 统计学 2024-10-30 Matthew Hofkes , Douglas Nychka

Two fundamental research tasks in science and engineering are forward predictions and data inversion. This article introduces a recent R package RobustCalibration for Bayesian data inversion and model calibration by experiments and field…

统计计算 · 统计学 2024-02-20 Mengyang Gu

High-dimensional simulation optimization is notoriously challenging. We propose a new sampling algorithm that converges to a global optimal solution and suffers minimally from the curse of dimensionality. The algorithm consists of two…

机器学习 · 统计学 2021-07-21 Liang Ding , Rui Tuo , Xiaowei Zhang

While pseudospectral (PS) methods can feature very high accuracy, they tend to be severely limited in terms of geometric flexibility. Application of global radial basis functions overcomes this, however at the expense of problematic…

数值分析 · 数学 2017-05-09 Pankaj K Mishra , Sankar K Nath , Gregor Kosec , Mrinal K Sen

Model-based control faces fundamental challenges in partially-observable environments due to unmodeled obstacles. We propose an online learning and optimization method to identify and avoid unobserved obstacles online. Our method,…

机器人学 · 计算机科学 2024-10-02 Abhinav Kumar , Peter Mitrano , Dmitry Berenson
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