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Metasurfaces are an emerging technology that may supplant many of the conventional optics found in imaging devices, displays, and precision scientific instruments. Here, we develop a method for designing optical systems composed of multiple…

光学 · 物理学 2019-10-23 Adam S. Backer

The Dynamical Graph Grammar (DGG) formalism can describe complex system dynamics with graphs that are mapped into a master equation. An exact stochastic simulation algorithm may be used, but it is slow for large systems. To overcome this…

定量方法 · 定量生物学 2024-07-16 Eric Medwedeff , Eric Mjolsness

Dynamic graphs with ordered sequences of events between nodes are prevalent in real-world industrial applications such as e-commerce and social platforms. However, representation learning for dynamic graphs has posed great computational…

机器学习 · 计算机科学 2021-12-16 Xinshi Chen , Yan Zhu , Haowen Xu , Mengyang Liu , Liang Xiong , Muhan Zhang , Le Song

We offer a lattice-theoretic account of dynamic slicing for {\pi}-calculus, building on prior work in the sequential setting. For any run of a concurrent program, we exhibit a Galois connection relating forward slices of the start…

编程语言 · 计算机科学 2016-10-10 Roly Perera , Deepak Garg , James Cheney

Dynamic slicing techniques compute program dependencies to find all statements that affect the value of a variable at a program point for a specific execution. Despite their many potential uses, applicability is limited by the fact that…

软件工程 · 计算机科学 2022-11-10 Alexis Soifer , Diego Garbervetsky , Victor Braberman , Sebastian Uchitel

The problem of code generation from textual program descriptions has long been viewed as a grand challenge in software engineering. In recent years, many deep learning based approaches have been proposed, which can generate a sequence of…

软件工程 · 计算机科学 2021-04-23 Chen Lyu , Ruyun Wang , Hongyu Zhang , Hanwen Zhang , Songlin Hu

Dynamic programming (DP) is a cornerstone of combinatorial optimization, yet its inherently sequential structure has long limited its scalability in scenario-based stochastic programming (SP). This paper introduces a GPU-accelerated…

最优化与控制 · 数学 2025-11-25 Jingyi Zhao , Linxin Yang , Haohua Zhang , Tian Ding

Asynchronous stochastic gradient descent (ASGD) is a popular parallel optimization algorithm in machine learning. Most theoretical analysis on ASGD take a discrete view and prove upper bounds for their convergence rates. However, the…

机器学习 · 统计学 2018-05-09 Li He , Qi Meng , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

We provide a framework for the design and analysis of dynamic programming algorithms for surface-embedded graphs on n vertices and branchwidth at most k. Our technique applies to general families of problems where standard dynamic…

数据结构与算法 · 计算机科学 2015-03-19 Juanjo Rué , Ignasi Sau , Dimitrios M. Thilikos

Functional dependence graph (FDG) is an important class of directed graph that captures the dominance relationship among a set of variables. FDG is frequently used in calculating network coding capacity bounds. However, the order of FDG is…

信息论 · 计算机科学 2015-03-20 Xiaoli Xu , Satyajit Thakor , Yong Liang Guan

Learning effective representations for Continuous-Time Dynamic Graphs (CTDGs) has garnered significant research interest, largely due to its powerful capabilities in modeling complex interactions between nodes. A fundamental and crucial…

机器学习 · 计算机科学 2024-12-06 Zhe Wang , Sheng Zhou , Jiawei Chen , Zhen Zhang , Binbin Hu , Yan Feng , Chun Chen , Can Wang

In observational studies, the true causal model is typically unknown and needs to be estimated from available observational and limited experimental data. In such cases, the learned causal model is commonly represented as a partially…

人工智能 · 计算机科学 2023-03-01 Malte Luttermann , Marcel Wienöbst , Maciej Liśkiewicz

In this paper, we present a method for identifying infeasible, unbounded, and pathological conic programs based on Douglas-Rachford splitting, or equivalently ADMM. When an optimization program is infeasible, unbounded, or pathological, the…

最优化与控制 · 数学 2017-10-17 Yanli Liu , Ernest K. Ryu , Wotao Yin

The graph-based invariant set (GIS) algorithm is a promising set-based technique for computing the largest (with respect to inclusion) control invariant set of general discrete-time nonlinear dynamical systems. However, like other invariant…

系统与控制 · 电气工程与系统科学 2022-02-15 Benjamin Decardi-Nelsona , Jinfeng Liu

The simplex gradient, a popular numerical differentiation method due to its flexibility, lacks a principled method by which to construct the sample set, specifically the location of function evaluations. Such evaluations, especially from…

数值分析 · 数学 2023-10-20 Daniel Lengyel , Panos Parpas , Nikolas Kantas , Nicholas R. Jennings

In this paper, we propose a program slicing approach for the output stream object in JEE applications. Our approach is based on extracting a dependency call graph from KDM models of JEE applications. Then, it applies breath-first search…

In this paper, we develop a symmetric accelerated stochastic Alternating Direction Method of Multipliers (SAS-ADMM) for solving separable convex optimization problems with linear constraints. The objective function is the sum of a possibly…

最优化与控制 · 数学 2021-12-21 Jianchao Bai , Deren Han , Hao Sun , Hongchao Zhang

Given a program, a quotient can be obtained from it by deleting zero or more statements. The field of program slicing is concerned with computing a quotient of a program which preserves part of the behaviour of the original program. All…

编程语言 · 计算机科学 2017-05-23 Sebastian Danicic , Robert M. Hierons , Michael R. Laurence

Douglas-Rachford splitting and its equivalent dual formulation ADMM are widely used iterative methods in composite optimization problems arising in control and machine learning applications. The performance of these algorithms depends on…

最优化与控制 · 数学 2019-06-28 Jacob H. Seidman , Mahyar Fazlyab , Victor M. Preciado , George J. Pappas

Inspired by dynamic programming, we propose Stochastic Virtual Gradient Descent (SVGD) algorithm where the Virtual Gradient is defined by computational graph and automatic differentiation. The method is computationally efficient and has…

机器学习 · 计算机科学 2019-08-01 Zheng Li , Shi Shu