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We study unconstrained Online Linear Optimization with Lipschitz losses. Motivated by the pursuit of instance optimality, we propose a new algorithm that simultaneously achieves ($i$) the AdaGrad-style second order gradient adaptivity; and…

Machine Learning · Computer Science 2024-02-23 Zhiyu Zhang , Heng Yang , Ashok Cutkosky , Ioannis Ch. Paschalidis

The paper addresses the problem of low-rank trace norm minimization. We propose an algorithm that alternates between fixed-rank optimization and rank-one updates. The fixed-rank optimization is characterized by an efficient factorization…

Optimization and Control · Mathematics 2013-06-04 B. Mishra , G. Meyer , F. Bach , R. Sepulchre

We propose a generic framework based on a new stochastic variance-reduced gradient descent algorithm for accelerating nonconvex low-rank matrix recovery. Starting from an appropriate initial estimator, our proposed algorithm performs…

Machine Learning · Statistics 2017-01-20 Lingxiao Wang , Xiao Zhang , Quanquan Gu

In this work, we propose a new randomized algorithm for computing a low-rank approximation to a given matrix. Taking an approach different from existing literature, our method first involves a specific biased sampling, with an element being…

Data Structures and Algorithms · Computer Science 2014-10-16 Srinadh Bhojanapalli , Prateek Jain , Sujay Sanghavi

We propose and evaluate new techniques for compressing and speeding up dense matrix multiplications as found in the fully connected and recurrent layers of neural networks for embedded large vocabulary continuous speech recognition (LVCSR).…

Machine Learning · Computer Science 2018-02-07 Markus Kliegl , Siddharth Goyal , Kexin Zhao , Kavya Srinet , Mohammad Shoeybi

For the problem of reconstructing a low-rank matrix from a few linear measurements, two classes of algorithms have been widely studied in the literature: convex approaches based on nuclear norm minimization, and non-convex approaches that…

Machine Learning · Statistics 2025-07-29 Dominik Stöger , Yizhe Zhu

We propose a method that quantifies the importance, namely relevance, of audio segments for classification in weakly-labelled problems. It works by drawing information from a set of class-wise one-vs-all classifiers. By selecting the…

Audio and Speech Processing · Electrical Eng. & Systems 2019-11-13 Juliano Henrique Foleiss , Tiago Fernandes Tavares

Reduced rank regression (RRR) is a fundamental tool for modeling multiple responses through low-dimensional latent structures, offering both interpretability and strong predictive performance in high-dimensional settings. Classical RRR…

Methodology · Statistics 2026-01-01 The Tien Mai

We propose an online learning algorithm for a class of machine learning models under a separable stochastic approximation framework. The essence of our idea lies in the observation that certain parameters in the models are easier to…

Machine Learning · Computer Science 2023-05-23 Min Gan , Xiang-xiang Su , Guang-yong Chen , Jing Chen

Due to the rapid generation and dissemination of information, large language models (LLMs) quickly run out of date despite enormous development costs. To address the crucial need to keep models updated, online learning has emerged as a…

Machine Learning · Computer Science 2024-11-05 Jihoon Tack , Jaehyung Kim , Eric Mitchell , Jinwoo Shin , Yee Whye Teh , Jonathan Richard Schwarz

Robust Principal Component Analysis (RPCA) is a fundamental technique for decomposing data into low-rank and sparse components, which plays a critical role for applications such as image processing and anomaly detection. Traditional RPCA…

Machine Learning · Computer Science 2024-12-20 Kexin Li , You-wei Wen , Xu Xiao , Mingchao Zhao

The overfitting is one of the cursing subjects in the deep learning field. To solve this challenge, many approaches were proposed to regularize the learning models. They add some hyper-parameters to the model to extend the generalization;…

Machine Learning · Computer Science 2020-05-06 Mohammad Mahdi Bejani , Mehdi Ghatee

We show a principled way of deriving online learning algorithms from a minimax analysis. Various upper bounds on the minimax value, previously thought to be non-constructive, are shown to yield algorithms. This allows us to seamlessly…

Machine Learning · Computer Science 2012-04-05 Alexander Rakhlin , Ohad Shamir , Karthik Sridharan

Robust principal component analysis is an important representative method in data analysis. It is usually viewed as an optimization problem involving the rank and $\ell_0$-norm of matrices. In this paper, we study the rank and $\ell_0$…

Optimization and Control · Mathematics 2026-03-04 Wenjing Li , Wei Bian , Kim-Chuan Toh

Speech recognition system performance degrades in noisy environments. If the acoustic models are built using features of clean utterances, the features of a noisy test utterance would be acoustically mismatched with the trained model. This…

Computation and Language · Computer Science 2015-07-16 D. S. Pavan Kumar

Deep learning models have become state of the art for natural language processing (NLP) tasks, however deploying these models in production system poses significant memory constraints. Existing compression methods are either lossy or…

Machine Learning · Computer Science 2018-11-05 Anish Acharya , Rahul Goel , Angeliki Metallinou , Inderjit Dhillon

In this work, we introduce a learning model designed to meet the needs of applications in which computational resources are limited, and robustness and interpretability are prioritized. Learning problems can be formulated as constrained…

Systems and Control · Electrical Eng. & Systems 2025-09-26 Christos Mavridis , John Baras

We propose a method for noise reduction, the task of producing a clean audio signal from a recording corrupted by additive noise. Many common approaches to this problem are based upon applying non-negative matrix factorization to…

Audio and Speech Processing · Electrical Eng. & Systems 2021-10-08 Andrew Sack , Wenzhao Jiang , Michael Perlmutter , Palina Salanevich , Deanna Needell

This work presents a novel framework based on feed-forward neural network for text-independent speaker classification and verification, two related systems of speaker recognition. With optimized features and model training, it achieves 100%…

Sound · Computer Science 2017-03-20 Zhenhao Ge , Ananth N. Iyer , Srinath Cheluvaraja , Ram Sundaram , Aravind Ganapathiraju

A low-rank transformation learning framework for subspace clustering and classification is here proposed. Many high-dimensional data, such as face images and motion sequences, approximately lie in a union of low-dimensional subspaces. The…

Computer Vision and Pattern Recognition · Computer Science 2014-03-11 Qiang Qiu , Guillermo Sapiro