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Bayesian Optimization aims at optimizing an unknown non-convex/concave function that is costly to evaluate. We are interested in application scenarios where concurrent function evaluations are possible. Under such a setting, BO could choose…

Artificial Intelligence · Computer Science 2012-05-02 Javad Azimi , Ali Jalali , Xiaoli Fern

Many real-world problems rely on finding eigenvalues and eigenvectors of a matrix. The power iteration algorithm is a simple method for determining the largest eigenvalue and associated eigenvector of a general matrix. This algorithm relies…

Numerical Analysis · Mathematics 2021-09-23 Congzhou M Sha , Nikolay V Dokholyan

The best way to understand complex data structures or algorithm is to see them in action. The present work presents a new tool, especially useful for students and lecturers in computer science. It is written in Java and developed at…

Computers and Society · Computer Science 2014-03-19 Kaninda Musumbu

The process of transforming a raster image into a vector representation is known as image tracing. This study looks into several processing methods that include high-pass filtering, autoencoding, and vectorization to extract an abstract…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Zineddine Bettouche , Andreas Fischer

This paper is an attempt to remedy the problem of slow convergence for first-order numerical algorithms by proposing an adaptive conditioning heuristic. First, we propose a parallelizable numerical algorithm that is capable of solving…

Optimization and Control · Mathematics 2021-03-02 Muhammad Adil , Sasan Tavakkol , Ramtin Madani

An experimental comparison of two or more optimization algorithms requires the same computational resources to be assigned to each algorithm. When a maximum runtime is set as the stopping criterion, all algorithms need to be executed in the…

Performance · Computer Science 2024-02-09 Etor Arza , Josu Ceberio , Ekhiñe Irurozki , Aritz Pérez

A method is presented to exploit adaptive integration algorithms using importance sampling, like VEGAS, for the task of scanning theoretical predictions depending on a multi-dimensional parameter space. Usually, a parameter scan is…

High Energy Physics - Phenomenology · Physics 2010-04-05 Oliver Brein

The performance of deep (reinforcement) learning systems crucially depends on the choice of hyperparameters. Their tuning is notoriously expensive, typically requiring an iterative training process to run for numerous steps to convergence.…

Machine Learning · Computer Science 2021-01-19 Vu Nguyen , Sebastian Schulze , Michael A Osborne

Deep learning implementations on CPUs (Central Processing Units) are gaining more traction. Enhanced AI capabilities on commodity x86 architectures are commercially appealing due to the reuse of existing hardware and virtualization ease. A…

Machine Learning · Computer Science 2021-03-22 Shabnam Daghaghi , Nicholas Meisburger , Mengnan Zhao , Yong Wu , Sameh Gobriel , Charlie Tai , Anshumali Shrivastava

We propose \textit{Meta-Regularization}, a novel approach for the adaptive choice of the learning rate in first-order gradient descent methods. Our approach modifies the objective function by adding a regularization term on the learning…

Machine Learning · Computer Science 2021-04-13 Guangzeng Xie , Hao Jin , Dachao Lin , Zhihua Zhang

The hashing trick is a machine learning technique used to encode categorical features into a numerical vector representation of pre-defined fixed length. It works by using the categorical hash values as vector indices, and updating the…

Machine Learning · Computer Science 2021-02-09 M. Andrecut

A multi-convex optimization problem is one in which the variables can be partitioned into sets over which the problem is convex when the other variables are fixed. Multi-convex problems are generally solved approximately using variations on…

Optimization and Control · Mathematics 2016-10-11 Xinyue Shen , Steven Diamond , Madeleine Udell , Yuantao Gu , Stephen Boyd

Optimization underpins many of the challenges that science and technology face on a daily basis. Recent years have witnessed a major shift from traditional optimization paradigms grounded on batch algorithms for medium-scale problems to…

Optimization and Control · Mathematics 2021-11-29 Andrea Simonetto , Emiliano Dall'Anese , Santiago Paternain , Geert Leus , Georgios B. Giannakis

Interactive visualizations are crucial in ad hoc data exploration and analysis. However, with the growing number of massive datasets, generating visualizations in interactive timescales is increasingly challenging. One approach for…

Databases · Computer Science 2017-01-25 Yongjoo Park , Michael Cafarella , Barzan Mozafari

Optimal portfolio allocation is often formulated as a constrained risk problem, where one aims to minimize a risk measure subject to some performance constraints. This paper presents new Bayesian Optimization algorithms for such constrained…

Portfolio Management · Quantitative Finance 2025-03-25 Robert Millar , Jinglai Li

Several different ways exist for approaching hard optimization problems. Mathematical programming techniques, including (integer) linear programming-based methods and metaheuristic approaches, are two highly successful streams for…

Optimization and Control · Mathematics 2022-02-08 Hengameh Fakhravar

Vector quantization(VQ) is a hardware-friendly DNN compression method that can reduce the storage cost and weight-loading datawidth of hardware accelerators. However, conventional VQ techniques lead to significant accuracy loss because the…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Shuaiting Li , Chengxuan Wang , Juncan Deng , Zeyu Wang , Zewen Ye , Zongsheng Wang , Haibin Shen , Kejie Huang

Vector quantization is a technique in machine learning that discretizes continuous representations into a set of discrete vectors. It is widely employed in tokenizing data representations for large language models, diffusion models, and…

Machine Learning · Computer Science 2024-11-26 Wenhao Zhao , Qiran Zou , Rushi Shah , Dianbo Liu

Production systems use heuristics because they are faster or scale better than their optimal counterparts. Yet, practitioners are often unaware of the performance gap between a heuristic and the optimum or between two heuristics in…

Networking and Internet Architecture · Computer Science 2023-11-22 Pooria Namyar , Behnaz Arzani , Ryan Beckett , Santiago Segarra , Himanshu Raj , Umesh Krishnaswamy , Ramesh Govindan , Srikanth Kandula

Robust topological information commonly comes in the form of a set of persistence diagrams, finite measures that are in nature uneasy to affix to generic machine learning frameworks. We introduce a fast, learnt, unsupervised vectorization…

Computational Geometry · Computer Science 2020-10-16 Martin Royer , Frédéric Chazal , Clément Levrard , Umeda Yuhei , Ike Yuichi