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Categorization axioms have been proposed to axiomatizing clustering results, which offers a hint of bridging the difference between human recognition system and machine learning through an intuitive observation: an object should be assigned…

机器学习 · 计算机科学 2016-01-18 Jian Yu

Class distribution mismatch (CDM) refers to the discrepancy between class distributions in training data and target tasks. Previous methods address this by designing classifiers to categorize classes known during training, while grouping…

计算机视觉与模式识别 · 计算机科学 2025-05-13 Pan Du , Wangbo Zhao , Xinai Lu , Nian Liu , Zhikai Li , Chaoyu Gong , Suyun Zhao , Hong Chen , Cuiping Li , Kai Wang , Yang You

Restricted kernel machines (RKMs) represent a versatile and powerful framework within the kernel machine family, leveraging conjugate feature duality to address a wide range of machine learning tasks, including classification, regression,…

机器学习 · 计算机科学 2025-04-17 Ritik Mishra , Mushir Akhtar , M. Tanveer

In spectral clustering, one defines a similarity matrix for a collection of data points, transforms the matrix to get the Laplacian matrix, finds the eigenvectors of the Laplacian matrix, and obtains a partition of the data using the…

机器学习 · 计算机科学 2012-10-19 Leonard K. M. Poon , April H. Liu , Tengfei Liu , Nevin Lianwen Zhang

Mixtures of Linear Regressions (MLR) is an important mixture model with many applications. In this model, each observation is generated from one of the several unknown linear regression components, where the identity of the generated…

机器学习 · 计算机科学 2020-03-31 Yuanzhi Li , Yingyu Liang

Incorporating fairness constructs into machine learning algorithms is a topic of much societal importance and recent interest. Clustering, a fundamental task in unsupervised learning that manifests across a number of web data scenarios, has…

计算机与社会 · 计算机科学 2020-10-15 Deepak P , Savitha Sam Abraham

In this paper machine learning and artificial neural network models are proposed for the classification of external noise sources affecting a given quantum dynamics. For this purpose, we train and then validate support vector machine,…

量子物理 · 物理学 2023-02-17 Stefano Martina , Stefano Gherardini , Filippo Caruso

Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

最优化与控制 · 数学 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

Using a support vector machine requires to set two types of hyperparameters: the soft margin parameter C and the parameters of the kernel. To perform this model selection task, the method of choice is cross-validation. Its leave-one-out…

机器学习 · 计算机科学 2008-12-18 Emmanuel Monfrini , Yann Guermeur

Translating machine learning algorithms into clinical applications requires addressing challenges related to interpretability, such as accounting for the effect of confounding variables (or metadata). Confounding variables affect the…

机器学习 · 计算机科学 2022-07-12 Anthony Vento , Qingyu Zhao , Robert Paul , Kilian M. Pohl , Ehsan Adeli

Machine learning (ML) enables the development of interatomic potentials that promise the accuracy of first principles methods while retaining the low cost and parallel efficiency of empirical potentials. While ML potentials traditionally…

Many machine learning problems can be characterized by mutual contamination models. In these problems, one observes several random samples from different convex combinations of a set of unknown base distributions and the goal is to infer…

机器学习 · 统计学 2019-04-12 Julian Katz-Samuels , Gilles Blanchard , Clayton Scott

In this article, a novel identification test is proposed, which can be applied to parameteric models such as Mixture of Normal (MN) distributions, Markow Switching(MS), or Structural Autoregressive (SVAR) models. In the approach, it is…

统计方法学 · 统计学 2022-06-09 Katarzyna Maciejowska

Neural networks trained on real-world datasets with long-tailed label distributions are biased towards frequent classes and perform poorly on infrequent classes. The imbalance in the ratio of positive and negative samples for each class…

计算机视觉与模式识别 · 计算机科学 2021-05-25 Kevin Duarte , Yogesh S. Rawat , Mubarak Shah

In the setting of nonparametric regression, we propose and study a combination of stochastic gradient methods with Nystr\"om subsampling, allowing multiple passes over the data and mini-batches. Generalization error bounds for the studied…

机器学习 · 统计学 2017-10-24 Junhong Lin , Lorenzo Rosasco

Semi-supervised learning (SSL) constructs classifiers from datasets in which only a subset of observations is labelled, a situation that naturally arises because obtaining labels often requires expert judgement or costly manual effort. This…

统计计算 · 统计学 2025-12-09 Geoffrey J. McLachlan , Jinran Wu

Consider the binary classification problem of predicting a target variable $Y$ from a discrete feature vector $X = (X_1,...,X_d)$. When the probability distribution $\mathbb{P}(X,Y)$ is known, the optimal classifier, leading to the minimum…

机器学习 · 计算机科学 2015-11-06 Meisam Razaviyayn , Farzan Farnia , David Tse

A learning classifier must outperform a trivial solution, in case of imbalanced data, this condition usually does not hold true. To overcome this problem, we propose a novel data level resampling method - Clustering Based Oversampling for…

机器学习 · 计算机科学 2018-11-13 Naman D. Singh , Abhinav Dhall

The fundamental theorem of statistical learning states that for binary classification problems, any Empirical Risk Minimization (ERM) learning rule has close to optimal sample complexity. In this paper we seek for a generic optimal learner…

机器学习 · 计算机科学 2014-05-13 Amit Daniely , Shai Shalev-Shwartz

In this paper, we propose the classification method based on a learning paradigm we are going to call Quantum Low Entropy based Associative Reasoning or QLEAR learning. The approach is based on the idea that classification can be understood…

机器学习 · 计算机科学 2017-05-31 Marko V. Jankovic