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A large number of objectives have been proposed to train latent variable generative models. We show that many of them are Lagrangian dual functions of the same primal optimization problem. The primal problem optimizes the mutual information…

Machine Learning · Statistics 2018-07-10 Shengjia Zhao , Jiaming Song , Stefano Ermon

Pre-trained vision-language models (VLMs) like CLIP have demonstrated impressive zero-shot performance on a wide range of downstream computer vision tasks. However, there still exists a considerable performance gap between these models and…

Computer Vision and Pattern Recognition · Computer Science 2024-10-30 Bardia Safaei , Vishal M. Patel

One-class support vector machine (OC-SVM) for a long time has been one of the most effective anomaly detection methods and extensively adopted in both research as well as industrial applications. The biggest issue for OC-SVM is yet the…

Machine Learning · Computer Science 2018-10-16 Minh-Nghia Nguyen , Ngo Anh Vien

In this paper, we provide a simple framework to derive and analyse several classes of effective one-step methods. The framework consists in the discretization of a local Fourier expansion of the continuous problem. Different choices of the…

Numerical Analysis · Mathematics 2012-06-08 Luigi Brugnano , Felice Iavernaro , Donato Trigiante

Recently, structure learning of directed acyclic graphs (DAGs) has been formulated as a continuous optimization problem by leveraging an algebraic characterization of acyclicity. The constrained problem is solved using the augmented…

Machine Learning · Computer Science 2022-04-12 Ignavier Ng , Sébastien Lachapelle , Nan Rosemary Ke , Simon Lacoste-Julien , Kun Zhang

Differentiable optimization layers enable learning systems to make decisions by solving embedded optimization problems. However, computing gradients via implicit differentiation requires solving a linear system with Hessian terms, which is…

Machine Learning · Computer Science 2025-12-03 Zihao Zhao , Kai-Chia Mo , Shing-Hei Ho , Brandon Amos , Kai Wang

In this paper, we devise a highly efficient machine learning-based channel estimation for orthogonal frequency division multiplexing (OFDM) systems, in which the training of the estimator is performed online. A simple learning module is…

Signal Processing · Electrical Eng. & Systems 2021-07-15 Kai Mei , Jun Liu , Xiaoying Zhang , Kuo Cao , Nandana Rajatheva , Jibo Wei

This paper revisits the special type of a neural network known under two names. In the statistics and machine learning community it is known as a multi-class logistic regression neural network. In the neural network community, it is simply…

Machine Learning · Statistics 2021-01-29 Marek Rychlik

In this paper, we consider the minimization of a nonsmooth nonconvex objective function $f(x)$ over a closed convex subset $\mathcal{X}$ of $\mathbb{R}^n$, with additional nonsmooth nonconvex constraints $c(x) = 0$. We develop a unified…

Optimization and Control · Mathematics 2024-04-16 Nachuan Xiao , Kuangyu Ding , Xiaoyin Hu , Kim-Chuan Toh

We propose a novel integrated formulation for multiclass and multilabel support vector machines (SVMs). A number of approaches have been proposed to extend the original binary SVM to an all-in-one multiclass SVM. However, its direct…

Machine Learning · Computer Science 2020-03-26 Hoda Shajari , Anand Rangarajan

A new algorithm is presented for solving the soft-margin Support Vector Machine (SVM) optimization problem with an $\ell^{1}$ penalty. This algorithm is designed to require a modest number of passes over the data, which is an important…

Optimization and Control · Mathematics 2018-08-23 Jeffrey Hajewski , Suely Oliveira , David E. Stewart

Searching for accurate Machine and Deep Learning models is a computationally expensive and awfully energivorous process. A strategy which has been gaining recently importance to drastically reduce computational time and energy consumed is…

Machine Learning · Computer Science 2020-06-26 Antonio Candelieri , Riccardo Perego , Francesco Archetti

In this paper we exploit Semi-Supervised Learning (SSL) to increase the amount of training data to improve the performance of Fine-Grained Visual Categorization (FGVC). This problem has not been investigated in the past in spite of…

Computer Vision and Pattern Recognition · Computer Science 2021-10-13 Daniele Mugnai , Federico Pernici , Francesco Turchini , Alberto Del Bimbo

We propose a supervised learning algorithm for machine learning applications. Contrary to the model developing in the classical methods, which treat training, validation, and test as separate steps, in the presented approach, there is a…

Machine Learning · Computer Science 2019-09-24 Soheil Mehrabkhani

This paper proposes a robust classification model, based on support vector machine (SVM), which simultaneously deals with outliers detection and feature selection. The classifier is built considering the ramp loss margin error and it…

Optimization and Control · Mathematics 2024-03-13 Marta Baldomero-Naranjo , Luisa I. Martínez-Merino , Antonio M. Rodríguez-Chía

Primal-dual methods have a natural application in Safe Reinforcement Learning (SRL), posed as a constrained policy optimization problem. In practice however, applying primal-dual methods to SRL is challenging, due to the inter-dependency of…

In this paper, we consider the linear programming (LP) formulation for deep reinforcement learning. The number of the constraints depends on the size of state and action spaces, which makes the problem intractable in large or continuous…

Optimization and Control · Mathematics 2021-05-21 Yongfeng Li , Mingming Zhao , Weijie Chen , Zaiwen Wen

Supervised learning with large-scale data usually leads to complex optimization problems, especially for classification tasks with multiple classes. Stochastic subgradient methods can enable efficient learning with a large number of samples…

Machine Learning · Computer Science 2025-11-25 Kartheek Bondugula , Santiago Mazuelas , Aritz Pérez

A number of important applied problems in engineering, finance and medicine can be formulated as a problem of anomaly detection. A classical approach to the problem is to describe a normal state using a one-class support vector machine.…

Machine Learning · Statistics 2016-11-22 Evgeny Burnaev , Dmitry Smolyakov

Multi-label learning often requires identifying all relevant labels for training instances, but collecting full label annotations is costly and labor-intensive. In many datasets, only a single positive label is annotated per training…

Machine Learning · Computer Science 2025-09-16 Misgina Tsighe Hagos , Claes Lundström
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