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Establishing a low-dimensional representation of the data leads to efficient data learning strategies. In many cases, the reduced dimension needs to be explicitly stated and estimated from the data. We explore the estimation of dimension in…

统计方法学 · 统计学 2022-02-10 Wei Q. Deng , Radu V. Craiu

We introduce a method to perform imaginary time evolution in a controllable quantum system using measurements and conditional unitary operations. By performing a sequence of weak measurements based on the desired Hamiltonian constructed by…

When applying Grover's algorithm to an unordered database, the probability of obtaining correct results usually decreases as the quantity of target increases. To amend the limitation, numbers of improved schemes are proposed. In this paper,…

量子物理 · 物理学 2018-01-24 Bo-wen Ma , Wan-su Bao , Xiang Wang , Xiang-qun Fu , Shuo Zhang , Tan Li , Feng-guang Li

Accurate and uncertainty-aware degradation estimation is essential for predictive maintenance in safety-critical systems like rotating machinery with rolling-element bearings. Many existing uncertainty methods lack confidence calibration,…

机器学习 · 计算机科学 2025-12-19 Waleed Razzaq , Yun-Bo Zhao

We present new techniques for synthesizing programs through sequences of mutations. Among these are (1) a method of local scoring assigning a score to each expression in a program, allowing us to more precisely identify buggy code, (2)…

神经与进化计算 · 计算机科学 2023-01-26 Max Vistrup

Counterexample-driven genetic programming (CDGP) uses specifications provided as formal constraints to generate the training cases used to evaluate evolving programs. It has also been extended to combine formal constraints and user-provided…

神经与进化计算 · 计算机科学 2024-08-26 Thomas Helmuth , Edward Pantridge , James Gunder Frazier , Lee Spector

Contemporary genetic programming (GP) systems for general program synthesis have been primarily concerned with evolving programs that can manipulate values from a standard set of primitive data types and simple indexed data structures. In…

神经与进化计算 · 计算机科学 2023-06-09 Edward Pantridge , Thomas Helmuth

Reliable training of generative adversarial networks (GANs) typically require massive datasets in order to model complicated distributions. However, in several applications, training samples obey invariances that are \textit{a priori}…

The application of Genetic Programming to the discovery of empirical laws is often impaired by the huge size of the search space, and consequently by the computer resources needed. In many cases, the extreme demand for memory and CPU is due…

人工智能 · 计算机科学 2016-08-16 Alain Ratle , Michèle Sebag

Gaussian Process (GP) models are popular tools in uncertainty quantification (UQ) because they purport to furnish functional uncertainty estimates that can be used to represent model uncertainty. It is often difficult to state with…

统计方法学 · 统计学 2025-09-22 Carlo Graziani , Marieme Ngom

Optimization of unitary transformations in Variational Quantum Algorithms benefits highly from efficient evaluation of cost function gradients with respect to amplitudes of unitary generators. We propose several extensions of the…

量子物理 · 物理学 2022-01-12 Artur F. Izmaylov , Robert A. Lang , Tzu-Ching Yen

We present a novel approach for adaptive, differentiable parameterization of large-scale random fields. If the approach is coupled with any gradient-based optimization algorithm, it can be applied to a variety of optimization problems,…

机器学习 · 计算机科学 2020-06-09 Maksim Elizarev , Andrei Mukhin , Aleksey Khlyupin

We consider Bayesian inference problems with computationally intensive likelihood functions. We propose a Gaussian process (GP) based method to approximate the joint distribution of the unknown parameters and the data. In particular, we…

统计计算 · 统计学 2018-03-15 Hongqiao Wang , Jinglai Li

Unwanted variation, including hidden confounding, is a well-known problem in many fields, particularly large-scale gene expression studies. Recent proposals to use control genes --- genes assumed to be unassociated with the covariates of…

统计方法学 · 统计学 2026-02-02 David Gerard , Matthew Stephens

We study the hardness of learning unitary transformations in $U(d)$ via gradient descent on time parameters of alternating operator sequences. We provide numerical evidence that, despite the non-convex nature of the loss landscape, gradient…

量子物理 · 物理学 2020-02-20 Bobak Toussi Kiani , Seth Lloyd , Reevu Maity

A while ago, the ideas of evolutionary biology inspired computer scientists to develop a thriving nowadays field of evolutionary computation (EC), in general, and genetic algorithms (GA), in particular. At the same time, the directed…

定量方法 · 定量生物学 2019-12-09 Alexander Spirov , Ekaterina Myasnikova

Eulerian nonlinear uncertainty propagation methods often suffer from finite domain limitations and computational inefficiencies. A recent approach to this class of algorithm, Grid-based Bayesian Estimation Exploiting Sparsity, addresses the…

混沌动力学 · 物理学 2025-08-20 Benjamin L. Hanson , Carlos Rubio , Adrián García-Gutiérrez , Thomas Bewley

Although the applications of Non-Homogeneous Poisson Processes to model and study the threshold overshoots of interest in different time series of measurements have proven to provide good results, they needed to be complemented with an…

应用统计 · 统计学 2023-09-15 Biviana Marcela Suárez-Sierra , Arrigo Coen , Carlos Alberto Taimal

Tuning a complex simulation code refers to the process of improving the agreement of a code calculation with respect to a set of experimental data by adjusting parameters implemented in the code. This process belongs to the class of inverse…

统计计算 · 统计学 2024-08-19 Yun Am Seo , Youngsaeng Lee , Jeong-Soo Park

The accessibility of spatially distributed data, enabled by affordable sensors, field, and numerical experiments, has facilitated the development of data-driven solutions for scientific problems, including climate change, weather…

机器学习 · 计算机科学 2023-11-09 Vardhan Dongre , Gurpreet Singh Hora
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