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We propose an algorithm for solving nonlinear convex programs defined in terms of a symmetric positive semidefinite matrix variable $X$. This algorithm rests on the factorization $X=Y Y^T$, where the number of columns of Y fixes the rank of…

Optimization and Control · Mathematics 2010-08-25 M. Journée , F. Bach , P. -A. Absil , R. Sepulchre

Learning the embedding space, where semantically similar objects are located close together and dissimilar objects far apart, is a cornerstone of many computer vision applications. Existing approaches usually learn a single metric in the…

Computer Vision and Pattern Recognition · Computer Science 2019-06-17 Artsiom Sanakoyeu , Vadim Tschernezki , Uta Büchler , Björn Ommer

Stochastic Gradient Descent (SGD), a widely used optimization algorithm in deep learning, is often limited to converging to local optima due to the non-convex nature of the problem. Leveraging these local optima to improve model performance…

Machine Learning · Computer Science 2023-09-22 Hao Chen , Yusen Wu , Phuong Nguyen , Chao Liu , Yelena Yesha

We introduce a learning-based algorithm to obtain a measurement matrix for compressive sensing related recovery problems. The focus lies on matrices with a constant modulus constraint which typically represent a network of analog phase…

Signal Processing · Electrical Eng. & Systems 2021-10-15 Michael Koller , Wolfgang Utschick

We initiate the study of smoothed analysis for the sequential probability assignment problem with contexts. We study information-theoretically optimal minmax rates as well as a framework for algorithmic reduction involving the maximum…

Machine Learning · Computer Science 2023-03-10 Alankrita Bhatt , Nika Haghtalab , Abhishek Shetty

Word embeddings are a powerful approach for analyzing language and have been widely popular in numerous tasks in information retrieval and text mining. Training embeddings over huge corpora is computationally expensive because the input is…

Machine Learning · Computer Science 2018-12-11 Avishek Anand , Megha Khosla , Jaspreet Singh , Jan-Hendrik Zab , Zijian Zhang

We study the typical learning properties of the recently introduced Soft Margin Classifiers (SMCs), learning realizable and unrealizable tasks, with the tools of Statistical Mechanics. We derive analytically the behaviour of the learning…

Disordered Systems and Neural Networks · Physics 2009-11-07 Sebastian Risau-Gusman , Mirta B. Gordon

Learning a high-dimensional dense representation for vocabulary terms, also known as a word embedding, has recently attracted much attention in natural language processing and information retrieval tasks. The embedding vectors are typically…

Information Retrieval · Computer Science 2017-07-18 Hamed Zamani , W. Bruce Croft

We propose an active learning algorithm for linear system identification with optimal centered noise excitation. Notably, our algorithm, based on ordinary least squares and semidefinite programming, attains the minimal sample complexity…

Optimization and Control · Mathematics 2026-04-08 Kaito Ito , Alexandre Proutiere

This work presents an innovative method for point set self-embedding, that encodes the structural information of a dense point set into its sparser version in a visual but imperceptible form. The self-embedded point set can function as the…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Ruihui Li , Xianzhi Li , Tien-Tsin Wong , Chi-Wing Fu

The strength of machine learning models stems from their ability to learn complex function approximations from data; however, this strength also makes training deep neural networks challenging. Notably, the complex models tend to memorize…

Computer Vision and Pattern Recognition · Computer Science 2023-04-17 Mofassir ul Islam Arif , Mohsan Jameel , Josif Grabocka , Lars Schmidt-Thieme

Previous studies have demonstrated the empirical success of word embeddings in various applications. In this paper, we investigate the problem of learning distributed representations for text documents which many machine learning algorithms…

Computation and Language · Computer Science 2017-09-29 Bin Bi , Hao Ma

Most algorithms for decentralized learning employ a consensus or diffusion mechanism to drive agents to a common solution of a global optimization problem. Generally this takes the form of linear averaging, at a rate of contraction…

Optimization and Control · Mathematics 2024-06-07 Aaron Fainman , Stefan Vlaski

We conjecture that the inherent difference in generalisation between adaptive and non-adaptive gradient methods in deep learning stems from the increased estimation noise in the flattest directions of the true loss surface. We demonstrate…

Machine Learning · Statistics 2022-03-17 Diego Granziol , Nicholas Baskerville

Word embedding, a high-dimensional (HD) numerical representation of words generated by machine learning models, has been used for different natural language processing tasks, e.g., translation between two languages. Recently, there has been…

Human-Computer Interaction · Computer Science 2024-03-26 Haoyu Li , Junpeng Wang , Yan Zheng , Liang Wang , Wei Zhang , Han-Wei Shen

Optimization-based solvers play a central role in a wide range of signal processing and communication tasks. However, their applicability in latency-sensitive systems is limited by the sequential nature of iterative methods and the high…

Signal Processing · Electrical Eng. & Systems 2026-03-12 Dvir Avrahami , Amit Milstein , Caroline Chaux , Tirza Routtenberg , Nir Shlezinger

Deep neural networks have shown the ability to extract universal feature representations from data such as images and text that have been useful for a variety of learning tasks. However, the fruits of representation learning have yet to be…

Machine Learning · Computer Science 2023-03-28 Liam Collins , Hamed Hassani , Aryan Mokhtari , Sanjay Shakkottai

This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

Machine Learning · Computer Science 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed

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…

Text word embeddings that encode distributional semantics work by modeling contextual similarities of frequently occurring words. Acoustic word embeddings, on the other hand, typically encode low-level phonetic similarities. Semantic…

Computation and Language · Computer Science 2024-07-03 Mohammad Amaan Sayeed , Hanan Aldarmaki
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