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In the last five decades, iterative phase retrieval methods draw large amount of interest across the research community as a non-interferometric approach to recover quantitative phase distributions from one (or more) intensity measurement.…

光学 · 物理学 2020-07-21 Nathaniel Hai , Joseph Rosen

The design of an interferometric array should allow optimal instrumental response regarding all possible source positions, times of integration and scientific goals. It should also take into account constraints such as forbidden regions on…

天体物理学 · 物理学 2009-11-07 F. Boone

This paper proposes a new method for estimating sparse precision matrices in the high dimensional setting. It has been popular to study fast computation and adaptive procedures for this problem. We propose a novel approach, called Sparse…

统计方法学 · 统计学 2016-12-23 Weidong Liu , Xi Luo

In this paper, as opposed to the random phase masks, the structured illuminations with a pixel-dependent deterministic phase shift are considered to derandomize the model setup. The RAAR algorithm is modified to adapt to two or more…

数值分析 · 数学 2017-02-01 Ji Li , Tie Zhou

A new computationally simple method of imposing hard convex constraints on the neural network output values is proposed. The key idea behind the method is to map a vector of hidden parameters of the network to a point that is guaranteed to…

机器学习 · 计算机科学 2023-07-21 Andrei V. Konstantinov , Lev V. Utkin

For many algorithms, parameter tuning remains a challenging and critical task, which becomes tedious and infeasible in a multi-parameter setting. Multi-penalty regularization, successfully used for solving undetermined sparse regression of…

机器学习 · 统计学 2017-10-12 Markus Grasmair , Timo Klock , Valeriya Naumova

In this paper, we discuss adaptive approximations of an elliptic eigenvalue optimization problem in a phase-field setting by a conforming finite element method. An adaptive algorithm is proposed and implemented in several two dimensional…

数值分析 · 数学 2025-03-10 Jing Li , Yifeng Xu , Shengfeng Zhu

In this paper, we consider gradient-type methods for convex positively homogeneous optimization problems with relative accuracy. An analogue of the accelerated universal gradient-type method for positively homogeneous optimization problems…

最优化与控制 · 数学 2021-12-14 Fedor S. Stonyakin , Seydamet S. Ablaev , Inna V. Baran

We present an algorithm for minimizing the sum of a strongly convex time-varying function with a time-invariant, convex, and nonsmooth function. The proposed algorithm employs the prediction-correction scheme alongside the forward-backward…

最优化与控制 · 数学 2024-05-07 Nicola Bastianello , Andrea Simonetto , Ruggero Carli

The aim of this paper is to present a new fast-convergent numerically stable space-time adaptive processing (STAP) algorithm derived using a novel technique of feedback orthogonalization. The main advantages of this approach lie in its…

天体物理仪器与方法 · 物理学 2010-08-26 Vasily A. Khlebnikov , Kristian Zarb Adami

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

计算机科学中的逻辑 · 计算机科学 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We show that training a single $d$-dimensional steering vector per layer with reinforcement learning, while freezing all base weights, matches the accuracy of fully RL-tuned reasoning models on mathematical-reasoning tasks. On an 8…

We propose an energy-optimized invariant energy quadratization method to solve the gradient flow models in this paper, which requires only one linear energy-optimized step to correct the auxiliary variables on each time step. In addition to…

数值分析 · 数学 2024-04-03 Xiaoqing Meng , Aijie Cheng , Zhengguang Liu

This research studies an adaptive neural network with a Dynamic Classifier Selection framework on Field-Programmable Gate Arrays (FPGAs). The evaluations are conducted across three different datasets. By adjusting parameters, the…

硬件体系结构 · 计算机科学 2024-08-28 Achraf El Bouazzaoui , Abdelkader Hadjoudja , Omar Mouhib

Ultrasonic phased array technology, while versatile, often requires complex computing resources and numerous amplifier components. We present a Manually Reconfigurable Phased Array that physically controls transducer position and phase,…

应用物理 · 物理学 2025-05-22 Soma Mochizuki , Yoichi Ochiai , Tatsuki Fushimi

The graph matching problem is a significant special case of the Quadratic Assignment Problem, with extensive applications in pattern recognition, computer vision, protein alignments and related fields. As the problem is NP-hard, relaxation…

最优化与控制 · 数学 2025-04-01 Rongxuan Li

While following different technical routes, both low-rank and orthogonal adaptation techniques can efficiently adapt large-scale pre-training models in specific tasks or domains based on a small piece of trainable parameters. In this study,…

机器学习 · 计算机科学 2024-11-18 Shen Yuan , Haotian Liu , Hongteng Xu

Large language models (LLMs) have demonstrated strong reasoning abilities in mathematical tasks, often enhanced through reinforcement learning (RL). However, RL-trained models frequently produce unnecessarily long reasoning traces -- even…

计算与语言 · 计算机科学 2025-05-27 Jinyan Su , Claire Cardie

A {\em parametric weighted graph} is a graph whose edges are labeled with continuous real functions of a single common variable. For any instantiation of the variable, one obtains a standard edge-weighted graph. Parametric weighted graph…

计算复杂性 · 计算机科学 2010-02-03 Eldar Fischer , Oded Lachish , Raphael Yuster

We propose a gradient-based method for quadratic programming problems with a single linear constraint and bounds on the variables. Inspired by the GPCG algorithm for bound-constrained convex quadratic programming [J.J. Mor\'e and G.…

最优化与控制 · 数学 2019-02-19 Daniela di Serafino , Gerardo Toraldo , Marco Viola , Jesse Barlow