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Finding efficient and provable methods to solve non-convex optimization problems is an outstanding challenge in machine learning and optimization theory. A popular approach used to tackle non-convex problems is to use convex relaxation…

机器学习 · 统计学 2016-10-31 Mohammad Gheshlaghi Azar , Eva Dyer , Konrad Kording

Abstractive text summarization is surging with the number of training samples to cater to the needs of the deep learning models. These models tend to exploit the training data representations to attain superior performance by improving the…

计算与语言 · 计算机科学 2023-12-21 Yash Kumar Atri , Vikram Goyal , Tanmoy Chakraborty

Non-convex constraints have recently proven a valuable tool in many optimisation problems. In particular sparsity constraints have had a significant impact on sampling theory, where they are used in Compressed Sensing and allow structured…

信息论 · 计算机科学 2012-05-09 Thomas Blumensath

Manipulation tasks often consist of subtasks, each representing a distinct skill. Mastering these skills is essential for robots, as it enhances their autonomy, efficiency, adaptability, and ability to work in their environment. Learning…

机器人学 · 计算机科学 2025-05-21 Juyan Zhang , Dana Kulic , Michael Burke

Compressed sensing (CS) in Magnetic resonance Imaging (MRI) essentially involves the optimization of 1) the sampling pattern in k-space under MR hardware constraints and 2) image reconstruction from the undersampled k-space data. Recently,…

信号处理 · 电气工程与系统科学 2021-10-26 Chaithya G R , Zaccharie Ramzi , Philippe Ciuciu

Spectral clustering refers to a family of unsupervised learning algorithms that compute a spectral embedding of the original data based on the eigenvectors of a similarity graph. This non-linear transformation of the data is both the key of…

机器学习 · 计算机科学 2019-01-30 Nicolas Tremblay , Andreas Loukas

Matrix sketching is a recently developed data compression technique. An input matrix A is efficiently approximated with a smaller matrix B, so that B preserves most of the properties of A up to some guaranteed approximation ratio. In so…

机器学习 · 统计学 2019-12-03 Roberta Falcone , Angela Montanari , Laura Anderlucci

Recently, the Multilinear Compressive Learning (MCL) framework was proposed to efficiently optimize the sensing and learning steps when working with multidimensional signals, i.e. tensors. In Compressive Learning in general, and in MCL in…

计算机视觉与模式识别 · 计算机科学 2020-09-23 Dat Thanh Tran , Moncef Gabbouj , Alexandros Iosifidis

Clustering approaches that utilize convex loss functions have recently attracted growing interest in the formation of compact data clusters. Although classical methods like k-means and its wide family of variants are still widely used, all…

Compressed sensing is a technique for finding sparse solutions to underdetermined linear systems. This technique relies on properties of the sensing matrix such as the restricted isometry property. Sensing matrices that satisfy this…

计算复杂性 · 计算机科学 2012-11-06 Pascal Koiran , Anastasios Zouzias

This paper proposes a receding horizon active learning and control problem for dynamical systems in which Gaussian Processes (GPs) are utilized to model the system dynamics. The active learning objective in the optimization problem is…

系统与控制 · 电气工程与系统科学 2021-05-13 Viet-Anh Le , Truong X. Nghiem

In this paper, we design two compressed decentralized algorithms for solving nonconvex stochastic optimization under two different scenarios. Both algorithms adopt a momentum technique to achieve fast convergence and a message-compression…

Compressed sensing (CS) shows that a signal having a sparse or compressible representation can be recovered from a small set of linear measurements. In classical CS theory, the sampling matrix and representation matrix are assumed to be…

信息论 · 计算机科学 2015-07-03 Yipeng Liu

This paper proposes a novel method for deep learning based on the analytical convolution of multidimensional Gaussian mixtures. In contrast to tensors, these do not suffer from the curse of dimensionality and allow for a compact…

机器学习 · 计算机科学 2022-02-21 Adam Celarek , Pedro Hermosilla , Bernhard Kerbl , Timo Ropinski , Michael Wimmer

In this paper we address the problem of learning robust cross-domain representations for sketch-based image retrieval (SBIR). While most SBIR approaches focus on extracting low- and mid-level descriptors for direct feature matching, recent…

计算机视觉与模式识别 · 计算机科学 2018-08-01 Dan Xu , Xavier Alameda-Pineda , Jingkuan Song , Elisa Ricci , Nicu Sebe

Convex clustering is a well-regarded clustering method, resembling the similar centroid-based approach of Lloyd's $k$-means, without requiring a predefined cluster count. It starts with each data point as its centroid and iteratively merges…

机器学习 · 统计学 2026-05-15 Shubhayan Pan , Kushal Bose , Debolina Paul , Saptarshi Chakraborty , Swagatam Das

Neural compression is the application of neural networks and other machine learning methods to data compression. Recent advances in statistical machine learning have opened up new possibilities for data compression, allowing compression…

机器学习 · 计算机科学 2023-08-22 Yibo Yang , Stephan Mandt , Lucas Theis

The primary goal of motion planning is to generate safe and efficient trajectories for vehicles. Traditionally, motion planning models are trained using imitation learning to mimic the behavior of human experts. However, these models often…

We study nonconvex optimization landscapes for learning overcomplete representations, including learning (i) sparsely used overcomplete dictionaries and (ii) convolutional dictionaries, where these unsupervised learning problems find many…

机器学习 · 计算机科学 2019-12-11 Qing Qu , Yuexiang Zhai , Xiao Li , Yuqian Zhang , Zhihui Zhu

Attributed graph clustering or community detection which learns to cluster the nodes of a graph is a challenging task in graph analysis. In this paper, we introduce a contrastive learning framework for learning clustering-friendly node…

机器学习 · 计算机科学 2022-05-12 Maedeh Ahmadi , Mehran Safayani , Abdolreza Mirzaei