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Transfer learning refers to the promising idea of initializing model fits based on pre-training on other data. We particularly consider regression modeling settings where parameter estimates from previous data can be used as anchoring…

Methodology · Statistics 2020-07-07 Wessel N. van Wieringen , Harald Binder

We study online convex optimization in the random order model, recently proposed by \citet{garber2020online}, where the loss functions may be chosen by an adversary, but are then presented to the online algorithm in a uniformly random…

Machine Learning · Computer Science 2021-06-30 Uri Sherman , Tomer Koren , Yishay Mansour

In many real-world prediction tasks, class labels contain information about the relative order between labels that are not captured by commonly used loss functions such as multicategory cross-entropy. Recently, the preference for unimodal…

Machine Learning · Computer Science 2025-03-21 Jaime S. Cardoso , Ricardo Cruz , Tomé Albuquerque

An algorithm is proposed that enables the imposition of shape constraints on regression curves, without requiring the constraints to be written as closed-form expressions, nor assuming the functional form of the loss function. This…

Methodology · Statistics 2019-04-08 Kenyon Ng , Berwin A. Turlach , Kevin Murray

Intensively growing approach in signal processing and acquisition, the Compressive Sensing approach, allows sparse signals to be recovered from small number of randomly acquired signal coefficients. This paper analyses some of the commonly…

Signal Processing · Electrical Eng. & Systems 2018-02-21 Tamara Koljensic , Caslav Labudovic

We present a novel approach to learn a kernel-based regression function. It is based on the useof conical combinations of data-based parameterized kernels and on a new stochastic convex optimization procedure of which we establish…

Machine Learning · Computer Science 2012-01-13 Pierre Machart , Thomas Peel , Liva Ralaivola , Sandrine Anthoine , Hervé Glotin

Because of the widespread existence of noise and data corruption, recovering the true regression parameters with a certain proportion of corrupted response variables is an essential task. Methods to overcome this problem often involve…

Machine Learning · Computer Science 2023-01-10 Zheyi Fan , Zhaohui Li , Jingyan Wang , Dennis K. J. Lin , Xiao Xiong , Qingpei Hu

In this paper we consider the trace regression model. Assume that we observe a small set of entries or linear combinations of entries of an unknown matrix $A_0$ corrupted by noise. We propose a new rank penalized estimator of $A_0$. For…

Statistics Theory · Mathematics 2011-09-14 Olga Klopp

This work proposes a Bayesian inference method for the reduced-order modeling of time-dependent systems. Informed by the structure of the governing equations, the task of learning a reduced-order model from data is posed as a Bayesian…

Numerical Analysis · Mathematics 2023-01-18 Mengwu Guo , Shane A. McQuarrie , Karen E. Willcox

We provide a new online learning algorithm which utilizes online passive-aggressive learning (PA) and total-error-rate minimization (TER) for binary classification. The PA learning establishes not only large margin training but also the…

Machine Learning · Statistics 2020-02-06 Se-In Jang

We consider the problem of predicting a response variable from a set of covariates on a data set that differs in distribution from the training data. Causal parameters are optimal in terms of predictive accuracy if in the new distribution…

Methodology · Statistics 2020-05-12 Dominik Rothenhäusler , Nicolai Meinshausen , Peter Bühlmann , Jonas Peters

In applications involving ordinal predictors, common approaches to reduce dimensionality are either extensions of unsupervised techniques such as principal component analysis, or variable selection procedures that rely on modeling the…

Statistics Theory · Mathematics 2017-10-13 Liliana Forzani , Rodrigo García Arancibia , Pamela Llop , Diego Tomassi

In this paper, online linear regression in environments corrupted by non-Gaussian noise (especially heavy-tailed noise) is addressed. In such environments, the error between the system output and the label also does not follow a Gaussian…

Information Theory · Computer Science 2021-05-13 Sajjad Bahrami , Ertem Tuncel

To avoid the exhaustive search over locations and scales, current state-of-the-art object detection systems usually involve a crucial component generating a batch of candidate object proposals from images. In this paper, we present a simple…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Tianshui Chen , Liang Lin , Xian Wu , Nong Xiao , Xiaonan Luo

We investigate online nonlinear regression with continually running recurrent neural network networks (RNNs), i.e., RNN-based online learning. For RNN-based online learning, we introduce an efficient first-order training algorithm that…

Machine Learning · Computer Science 2021-06-01 N. Mert Vural , Selim F. Yilmaz , Fatih Ilhan , Suleyman S. Kozat

Advances in machine learning technologies have led to increasingly powerful models in particular in the context of big data. Yet, many application scenarios demand for robustly interpretable models rather than optimum model accuracy; as an…

Machine Learning · Computer Science 2020-05-07 Lukas Pfannschmidt , Jonathan Jakob , Fabian Hinder , Michael Biehl , Peter Tino , Barbara Hammer

Prediction-based approaches are widely used in neural architecture search (NAS), where a predictor estimates the performance of candidate architectures to guide selection. However, existing predictors are typically trained via supervised…

Machine Learning · Computer Science 2026-05-12 Liping Deng , MingQing Xiao

Existing online multi-label classification works cannot well handle the online label thresholding problem and lack the regret analysis for their online algorithms. This paper proposes a novel framework of adaptive label thresholding…

Machine Learning · Computer Science 2022-11-15 Tingting Zhai , Hongcheng Tang , Hao Wang

Discriminative features are critical for machine learning applications. Most existing deep learning approaches, however, rely on convolutional neural networks (CNNs) for learning features, whose discriminant power is not explicitly…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Fusheng Hao , Jun Cheng , Lei Wang , Xinchao Wang , Jianzhong Cao , Xiping Hu , Dapeng Tao

Many existing data mining algorithms use feature values directly in their model, making them sensitive to units/scales used to measure/represent data. Pre-processing of data based on rank transformation has been suggested as a potential…

Machine Learning · Computer Science 2021-11-09 Arbind Agrahari Baniya , Sunil Aryal , Santosh KC