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We introduce a new technique to optimize a linear cost function subject to a one-dimensional affine homogeneous quadratic integral inequality, i.e., the requirement that a homogeneous quadratic integral functional, affine in the…

最优化与控制 · 数学 2017-12-12 Giovanni Fantuzzi , Andrew Wynn , Paul Goulart , Antonis Papachristodoulou

In the analysis of any type of system, granting maximum information extraction from its data is non-trivial. Confidence in successful information extraction typically builds on prior knowledge of the studied system or on the user's…

数据分析、统计与概率 · 物理学 2026-01-01 Matteo Becchi , Giovanni Maria Pavan

Factorization machines (FMs) are a powerful tool for regression and classification in the context of sparse observations, that has been successfully applied to collaborative filtering, especially when side information over users or items is…

机器学习 · 计算机科学 2022-12-21 Jill-Jênn Vie , Tomas Rigaux , Hisashi Kashima

The analytic continuation of imaginary-time quantum Monte Carlo data to extract real-frequency spectra remains a key problem in connecting theory with experiment. Here we present a fast and efficient stochastic optimization method (FESOM)…

强关联电子 · 物理学 2016-11-03 F. Bao , Y. Tang , M. Summers , G. Zhang , C. Webster , V. Scarola , T. A. Maier

It is very difficult to solve the Maximum Mutual Information (MMI) or Maximum Likelihood (ML) for all possible Shannon Channels or uncertain rules of choosing hypotheses, so that we have to use iterative methods. According to the Semantic…

信息论 · 计算机科学 2017-06-27 Chenguang Lu

Responding to user data deletion requests, removing noisy examples, or deleting corrupted training data are just a few reasons for wanting to delete instances from a machine learning (ML) model. However, efficiently removing this data from…

机器学习 · 计算机科学 2021-06-15 Jonathan Brophy , Daniel Lowd

This paper studies an optimization-based state estimation approach for discrete-time nonlinear systems under bounded process and measurement disturbances. We first introduce a full information estimator (FIE), which is given as a solution…

动力系统 · 数学 2015-03-18 Wuhua Hu , Lihua Xie , Keyou You

In this paper, a new method, named the Fragile Points Method (FPM), is developed for computer modeling in engineering and sciences. In the FPM, simple, local, polynomial, discontinuous and Point-based trial and test functions are proposed…

计算物理 · 物理学 2019-12-10 Leiting Dong , Tian Yang , Kailei Wang , Satya N. Atluri

Math Word Problems (MWP) aims to automatically solve mathematical questions given in texts. Previous studies tend to design complex models to capture additional information in the original text so as to enable the model to gain more…

计算与语言 · 计算机科学 2026-01-12 Jing Xiong , Chengming Li , Min Yang , Xiping Hu , Bin Hu

A selection of statistically stable (robust) algorithms for data variance calculating has been made. Their properties have been analyzed via computer simulation. These algorithms would be useful if adopted in radio astronomy observations in…

天体物理仪器与方法 · 物理学 2015-03-17 P. A. Fridman

Minimizing the Mean Squared Error (MSE) is a key objective in machine learning and is commonly used for imputing missing values. While this approach provides accurate point estimates, it introduces systematic biases in downstream analyses.…

机器学习 · 统计学 2026-05-06 Stef van Buuren

This paper is concerned with the problem of state estimation for discrete-time linear systems in the presence of additional (equality or inequality) constraints on the state (or estimate). By use of the minimum variance duality, the…

最优化与控制 · 数学 2021-12-08 Prabhat K. Mishra , Girish Chowdhary , Prashant G. Mehta

Efficiently solving constrained optimization problems is crucial for numerous real-world applications, yet traditional solvers are often computationally prohibitive for real-time use. Machine learning-based approaches have emerged as a…

机器学习 · 计算机科学 2025-10-27 Hoang T. Nguyen , Priya L. Donti

We consider monotone inclusion problems where the operators may be expectation-valued, a class of problems that subsumes convex stochastic optimization problems as well as subclasses of stochastic variational inequality and equilibrium…

最优化与控制 · 数学 2021-10-19 Shisheng Cui , Uday V. Shanbhag

GraphSPME is an open source Python, R and C++ header-only package implement-ing non-parametric sparse precision matrix estimation along with asymptotic Stein-type shrinkage estimation of the covariance matrix. The user defines a potential…

统计计算 · 统计学 2022-05-17 Berent Ånund Strømnes Lunde , Feda Curic , Sondre Sortland

Unfitted finite element methods, like CutFEM, have traditionally been implemented in a matrix-based fashion, where a sparse matrix is assembled and later applied to vectors while solving the resulting linear system. With the goal of…

数值分析 · 数学 2024-04-15 Maximilian Bergbauer , Peter Munch , Wolfgang A. Wall , Martin Kronbichler

Over the past three decades significant reductions have been made to the cost of estimating ground-state energies of molecular Hamiltonians with quantum computers. However, comparatively little attention has been paid to estimating the…

We present FaRe, a package for Mathematica that implements the decomposition of a generic tensor Feynman integral, with arbitrary loop number, into scalar integrals in higher dimension. In order for FaRe to work, the package FeynCalc is…

高能物理 - 唯象学 · 物理学 2016-03-23 Michele Re Fiorentin

Feature selection, in the context of machine learning, is the process of separating the highly predictive feature from those that might be irrelevant or redundant. Information theory has been recognized as a useful concept for this task, as…

机器学习 · 计算机科学 2020-01-28 Catuscia Palamidessi , Marco Romanelli

The sparsely gated mixture of experts (MoE) architecture sends different inputs to different subnetworks, i.e., experts, through trainable routers. MoE reduces the training computation significantly for large models, but its deployment can…