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We present a novel deep learning approach to approximate the solution of large, sparse, symmetric, positive-definite linear systems of equations. These systems arise from many problems in applied science, e.g., in numerical methods for…

机器学习 · 计算机科学 2022-10-04 Ayano Kaneda , Osman Akar , Jingyu Chen , Victoria Kala , David Hyde , Joseph Teran

The most widely used form of convolutional sparse coding uses an $\ell_1$ regularization term. While this approach has been successful in a variety of applications, a limitation of the $\ell_1$ penalty is that it is homogeneous across the…

计算机视觉与模式识别 · 计算机科学 2017-11-09 Brendt Wohlberg

Evolutionary Algorithms (EAs) are being routinely applied for a variety of optimization tasks, and real-parameter optimization in the presence of constraints is one such important area. During constrained optimization EAs often create…

神经与进化计算 · 计算机科学 2015-04-20 Nikhil Padhye , Pulkit Mittal , Kalyanmoy Deb

We study the question of testing structured properties (classes) of discrete distributions. Specifically, given sample access to an arbitrary distribution $D$ over $[n]$ and a property $\mathcal{P}$, the goal is to distinguish between…

数据结构与算法 · 计算机科学 2016-01-22 Clément L. Canonne , Ilias Diakonikolas , Themis Gouleakis , Ronitt Rubinfeld

Multi-mode resource-constrained project scheduling problems (MRCPSPs) are classified as NP-hard problems, in which a task has different execution modes characterized by different resource requirements. Estimation of distribution algorithm…

其他计算机科学 · 计算机科学 2014-02-25 Omar S. Soliman , Elshimaa A. R. Elgendi

In this paper, we analyze the convergence of several discretize-then-optimize algorithms, based on either a second-order or a fourth-order finite difference discretization, for solving elliptic PDE-constrained optimization or optimal…

数值分析 · 数学 2018-08-14 Jun Liu , Zhu Wang

Empirical interpolation method (EIM) is a well-known technique to efficiently approximate parameterized functions. This paper proposes to use EIM algorithm to efficiently reduce the dimension of the training data within supervised machine…

机器学习 · 计算机科学 2023-05-18 Harbir Antil , Madhu Gupta , Randy Price

With the increasing number of intrusions in system and network infrastructures, Intrusion Detection Systems (IDS) have become an active area of research to develop reliable and effective solutions to detect and counter them. The use of…

密码学与安全 · 计算机科学 2012-12-04 Herve Kabamba Mbikayi

Evolutionary algorithms are sensitive to the mutation rate (MR); no single value of this parameter works well across domains. Self-adaptive MR approaches have been proposed but they tend to be brittle: Sometimes they decay the MR to zero,…

神经与进化计算 · 计算机科学 2022-04-12 Akarsh Kumar , Bo Liu , Risto Miikkulainen , Peter Stone

The adoption of probabilistic models for the best individuals found so far is a powerful approach for evolutionary computation. Increasingly more complex models have been used by estimation of distribution algorithms (EDAs), which often…

神经与进化计算 · 计算机科学 2007-10-16 Leonardo Emmendorfer , Aurora Pozo

For a large class of random matrices $A$ with i.i.d. entries we show that the $\ell_1$-quotient property holds with probability exponentially close to 1. In contrast to previous results, our analysis does not require concentration of the…

概率论 · 数学 2018-06-13 Felix Krahmer , Christian Kümmerle , Holger Rauhut

Traditional image processing methods employing partial differential equations (PDEs) offer a multitude of meaningful regularizers, along with valuable theoretical foundations for a wide range of image-related tasks. This makes their…

机器学习 · 计算机科学 2024-07-02 Chaoyu Liu , Zhonghua Qiao , Chao Li , Carola-Bibiane Schönlieb

Deterministic computer simulations are often used as a replacement for complex physical experiments. Although less expensive than physical experimentation, computer codes can still be time-consuming to run. An effective strategy for…

统计方法学 · 统计学 2010-03-04 Mark Franey , Pritam Ranjan , Hugh Chipman

Many statistical problems involve optimization over a discrete parameter space having an unknown dimension. In such settings, gradient-based methods often fail due to the non-differentiability of the objective function or a non-convex or…

应用统计 · 统计学 2026-03-19 Mo Li , QiQi Lu , Robert Lund , Xueheng Shi

This paper presents Natural Evolution Strategies (NES), a recent family of algorithms that constitute a more principled approach to black-box optimization than established evolutionary algorithms. NES maintains a parameterized distribution…

机器学习 · 统计学 2011-06-23 Daan Wierstra , Tom Schaul , Tobias Glasmachers , Yi Sun , Jürgen Schmidhuber

Bayesian Networks (BNs) represent conditional probability relations among a set of random variables (nodes) in the form of a directed acyclic graph (DAG), and have found diverse applications in knowledge discovery. We study the problem of…

最优化与控制 · 数学 2022-05-10 Simge Kucukyavuz , Ali Shojaie , Hasan Manzour , Linchuan Wei , Hao-Hsiang Wu

Despite the rapid development of machine learning algorithms for domain generalization (DG), there is no clear empirical evidence that the existing DG algorithms outperform the classic empirical risk minimization (ERM) across standard…

机器学习 · 计算机科学 2024-03-19 Rui Qiao , Bryan Kian Hsiang Low

This paper studies a strategy for data-driven algorithm design for large-scale combinatorial optimization problems that can leverage existing state-of-the-art solvers in general purpose ways. The goal is to arrive at new approaches that can…

最优化与控制 · 数学 2020-12-24 Jialin Song , Ravi Lanka , Yisong Yue , Bistra Dilkina

Evolution Strategies (ES) emerged as a scalable alternative to popular Reinforcement Learning (RL) techniques, providing an almost perfect speedup when distributed across hundreds of CPU cores thanks to a reduced communication overhead.…

机器学习 · 统计学 2018-11-13 Víctor Campos , Xavier Giro-i-Nieto , Jordi Torres

We propose an evolution strategies-based algorithm for estimating gradients in unrolled computation graphs, called ES-Single. Similarly to the recently-proposed Persistent Evolution Strategies (PES), ES-Single is unbiased, and overcomes…

机器学习 · 计算机科学 2023-04-24 Paul Vicol , Zico Kolter , Kevin Swersky