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Replicability in machine learning (ML) research is increasingly concerning due to the utilization of complex non-deterministic algorithms and the dependence on numerous hyper-parameter choices, such as model architecture and training…

Machine Learning · Computer Science 2024-06-18 Michael Arbel , Alexandre Zouaoui

In this paper, we present pomdp_py, a general purpose Partially Observable Markov Decision Process (POMDP) library written in Python and Cython. Existing POMDP libraries often hinder accessibility and efficient prototyping due to the…

Artificial Intelligence · Computer Science 2020-04-22 Kaiyu Zheng , Stefanie Tellex

We present a composition rule involving quasiconvex functions that generalizes the classical composition rule for convex functions. This rule complements well-known rules for the curvature of quasiconvex functions under increasing functions…

Optimization and Control · Mathematics 2020-03-02 Akshay Agrawal , Stephen Boyd

Multiobjective optimization problems (MOPs) are prevalent in machine learning, with applications in multi-task learning, learning under fairness or robustness constraints, etc. Instead of reducing multiple objective functions into a scalar…

Mathematical Software · Computer Science 2024-10-14 Xiaoyuan Zhang , Liang Zhao , Yingying Yu , Xi Lin , Yifan Chen , Han Zhao , Qingfu Zhang

In this paper, we introduce McTorch, a manifold optimization library for deep learning that extends PyTorch. It aims to lower the barrier for users wishing to use manifold constraints in deep learning applications, i.e., when the parameters…

Machine Learning · Statistics 2018-10-05 Mayank Meghwanshi , Pratik Jawanpuria , Anoop Kunchukuttan , Hiroyuki Kasai , Bamdev Mishra

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

In this paper, a new python package (optipoly) is described that solves box-constrained optimization problem over multivariate polynomial cost functions. The principle of the algorithm is described before its performance is compared to…

Computational Engineering, Finance, and Science · Computer Science 2025-03-27 Mazen Alamir

Many optimization problems arising in high-dimensional statistics decompose naturally into a sum of several terms, where the individual terms are relatively simple but the composite objective function can only be optimized with iterative…

Optimization and Control · Mathematics 2016-06-30 Rina Foygel Barber , Emil Y. Sidky

This paper introduces the design and implementation of PyOptInterface, a modeling language for mathematical optimization embedded in Python programming language. PyOptInterface uses lightweight and compact data structure to bridge…

Mathematical Software · Computer Science 2024-05-17 Yue Yang , Chenhui Lin , Luo Xu , Wenchuan Wu

Evolutionary computation is an important component within various fields such as artificial intelligence research, reinforcement learning, robotics, industrial automation and/or optimization, engineering design, etc. Considering the…

Neural and Evolutionary Computing · Computer Science 2023-05-23 Nihat Engin Toklu , Timothy Atkinson , Vojtěch Micka , Paweł Liskowski , Rupesh Kumar Srivastava

Processing of medical images such as MRI or CT presents unique challenges compared to RGB images typically used in computer vision. These include a lack of labels for large datasets, high computational costs, and metadata to describe the…

Image and Video Processing · Electrical Eng. & Systems 2021-08-06 Fernando Pérez-García , Rachel Sparks , Sébastien Ourselin

Constrained optimization problems arise frequently in classical machine learning. There exist frameworks addressing constrained optimization, for instance, CVXPY and GENO. However, in contrast to deep learning frameworks, GPU support is…

Machine Learning · Computer Science 2022-03-31 Sören Laue , Mark Blacher , Joachim Giesen

In this article, we use the monotonic optimization approach to propose an outcome-space outer approximation by copolyblocks for solving strictly quasiconvex multiobjective programming problems and especially in the case that the objective…

Optimization and Control · Mathematics 2020-03-26 Tran Ngoc Thang , Vijender Kumar Solanki , Tuan Anh Dao , Nguyen Thi Ngoc Anh , Hai V. Pham

A general class of nonconvex optimization problems is considered, where the penalty is the composition of a linear operator with a nonsmooth nonconvex mapping, which is concave on the positive real line. The necessary optimality condition…

Optimization and Control · Mathematics 2018-04-23 Daria Ghilli , Karl Kunisch

Video analytics is widely used in contemporary systems and services. At the forefront of video analytics are video queries that users develop to find objects of particular interest. Building upon the insight that video objects (e.g., human,…

Computer Vision and Pattern Recognition · Computer Science 2024-06-05 Shan Yu , Zhenting Zhu , Yu Chen , Hanchen Xu , Pengzhan Zhao , Yang Wang , Arthi Padmanabhan , Hugo Latapie , Harry Xu

Bayesian Networks (BNs) are used in various fields for modeling, prediction, and decision making. pgmpy is a python package that provides a collection of algorithms and tools to work with BNs and related models. It implements algorithms for…

Machine Learning · Computer Science 2023-04-19 Ankur Ankan , Johannes Textor

Practitioners wishing to experience the efficiency gains from using low discrepancy sequences need correct, robust, well-written software. This article, based on our MCQMC 2020 tutorial, describes some of the better quasi-Monte Carlo (QMC)…

Mathematical Software · Computer Science 2021-10-15 Sou-Cheng T. Choi , Fred J. Hickernell , R. Jagadeeswaran , Michael J. McCourt , Aleksei G. Sorokin

Convex approximation sets for multiobjective optimization problems are a well-studied relaxation of the common notion of approximation sets. Instead of approximating each image of a feasible solution by the image of some solution in the…

Optimization and Control · Mathematics 2023-06-13 Stephan Helfrich , Stefan Ruzika , Clemens Thielen

Convolutional neural networks have witnessed remarkable improvements in computational efficiency in recent years. A key driving force has been the idea of trading-off model expressivity and efficiency through a combination of $1\times 1$…

Computer Vision and Pattern Recognition · Computer Science 2020-04-08 Zhichao Lu , Kalyanmoy Deb , Vishnu Naresh Boddeti