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This paper presents a randomized algorithm for computing the near-optimal low-rank dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to compute low-rank matrix approximations at a fraction of the cost of…

数值分析 · 数学 2019-11-28 N. Benjamin Erichson , Lionel Mathelin , Steven L. Brunton , J. Nathan Kutz

We present an approximate energy-integration method for identifying collisional neutrino flavor instabilities. Direct evaluation of the dispersion relation requires multi-dimensional integrals over neutrino phase space, making systematic…

高能天体物理现象 · 物理学 2026-04-02 Jiabao Liu , Hiroki Nagakura

Many modern statistical estimation problems are defined by three major components: a statistical model that postulates the dependence of an output variable on the input features; a loss function measuring the error between the observed…

最优化与控制 · 数学 2018-10-09 Ying Cui , Jong-Shi Pang , Bodhisattva Sen

Density functional theory (DFT), the most widely adopted method in modern computational chemistry, fails to describe accurately the electronic structure of strongly correlated systems. Here we show that DFT can be formally and practically…

化学物理 · 物理学 2022-04-18 Daniel Gibney , Jan-Niklas Boyn , David A. Mazziotti

In recent years there has been an increasing use of embedded systems because of advances in technology, the reduction of the costs of electronic equipment and mainly the popularity of mobile devices. Many of these systems implement low…

其他计算机科学 · 计算机科学 2015-04-24 Rawlinson S. Gonçalves , Raimundo da Silva Barreto

Feature reduction is an important concept which is used for reducing dimensions to decrease the computation complexity and time of classification. Since now many approaches have been proposed for solving this problem, but almost all of them…

人工智能 · 计算机科学 2012-06-08 Shervan Fekri Ershad , Sattar Hashemi

This work explores the novel idea of learning a submodular scoring function to improve the specificity/selectivity of existing feature attribution methods. Submodular scores are natural for attribution as they are known to accurately model…

机器学习 · 计算机科学 2022-02-23 Piyushi Manupriya , Tarun Ram Menta , J. Saketha Nath , Vineeth N Balasubramanian

We propose a method that incorporates explicit derivative discontinuity of the total energy with respect to the number of electrons and treats both delocalization and static correlation effects in density functional calculations. Our…

强关联电子 · 物理学 2018-03-08 Fei Zhou , Vidvuds Ozolins

We develop a system-theoretic framework for the structured analysis of distributed optimization algorithms with decomposable cost functions. We model such algorithms as a network of interacting dynamical systems and derive tests for…

最优化与控制 · 数学 2026-04-14 Aron Karakai , Jaap Eising , Andrea Martinelli , Florian Dörfler

Subsequence matching has appeared to be an ideal approach for solving many problems related to the fields of data mining and similarity retrieval. It has been shown that almost any data class (audio, image, biometrics, signals) is or can be…

多媒体 · 计算机科学 2012-06-13 David Novak , Petr Volny , Pavel Zezula

SDE-based methods such as denoising diffusion probabilistic models (DDPMs) have shown remarkable success in real-world sample generation tasks. Prior analyses of DDPMs have been focused on the exponential Euler discretization, showing…

机器学习 · 计算机科学 2025-11-10 Matthew S. Zhang , Stephen Huan , Jerry Huang , Nicholas M. Boffi , Sitan Chen , Sinho Chewi

Factorization machines (FM) are a popular model class to learn pairwise interactions by a low-rank approximation. Different from existing FM-based approaches which use a fixed rank for all features, this paper proposes a Rank-Aware FM…

机器学习 · 计算机科学 2019-05-21 Xiaoshuang Chen , Yin Zheng , Jiaxing Wang , Wenye Ma , Junzhou Huang

This paper considers a class of structured fractional minimization problems. The numerator consists of a differentiable function, a simple nonconvex nonsmooth function, a concave nonsmooth function, and a convex nonsmooth function composed…

最优化与控制 · 数学 2025-04-01 Ganzhao Yuan

The distributed adaptive signal fusion (DASF) framework allows to solve spatial filtering optimization problems in a distributed and adaptive fashion over a bandwidth-constrained wireless sensor network. The DASF algorithm requires each…

信号处理 · 电气工程与系统科学 2025-05-02 Cem Ates Musluoglu , Alexander Bertrand

With the integration of communication and computing, it is expected that part of the computing is transferred to the transmitter side. In this paper we address the general problem of Frequency Modulation (FM) for function approximation…

信号处理 · 电气工程与系统科学 2023-06-29 Marc Martinez-Gost , Ana Pérez-Neira , Miguel Ángel Lagunas

We investigate two new optimization problems -- minimizing a submodular function subject to a submodular lower bound constraint (submodular cover) and maximizing a submodular function subject to a submodular upper bound constraint…

数据结构与算法 · 计算机科学 2013-11-12 Rishabh Iyer , Jeff Bilmes

We consider the problem of maximizing submodular functions; while this problem is known to be NP-hard, several numerically efficient local search techniques with approximation guarantees are available. In this paper, we propose a novel…

机器学习 · 计算机科学 2013-09-11 K. S. Sesh Kumar , Francis Bach

Tackling pattern recognition problems in areas such as computer vision, bioinformatics, speech or text recognition is often done best by taking into account task-specific statistical relations between output variables. In structured…

机器学习 · 统计学 2016-03-14 Rein Houthooft , Filip De Turck

The interaction of multiple fluids through a heterogeneous pore space leads to complex pore-scale flow dynamics, such as intermittent pathway flow. The non-local nature of these dynamics, and the size of the 4D datasets acquired to capture…

地球物理 · 物理学 2024-09-24 Aman Raizada , Steffen Berg , Sally M. Benson , Hamdi A. Tchelepi , Catherine Spurin

The optimal allocation of resources for maximizing influence, spread of information or coverage, has gained attention in the past years, in particular in machine learning and data mining. But in applications, the parameters of the problem…

机器学习 · 计算机科学 2017-06-14 Matthew Staib , Stefanie Jegelka