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In this paper we shall review the common problems associated with Piecewise Linear Separation incremental algorithms. This kind of neural models yield poor performances when dealing with some classification problems, due to the evolving…

神经与进化计算 · 计算机科学 2007-12-24 Alejandro Chinea Manrique De Lara , Juan Manuel Moreno , Arostegui Jordi Madrenas , Joan Cabestany

Few-shot learning aims to learn classifiers for new classes with only a few training examples per class. Most existing few-shot learning approaches belong to either metric-based meta-learning or optimization-based meta-learning category,…

机器学习 · 计算机科学 2019-08-28 Duo Wang , Yu Cheng , Mo Yu , Xiaoxiao Guo , Tao Zhang

When predictions are performative, the choice of which predictor to deploy influences the distribution of future observations. The overarching goal in learning under performativity is to find a predictor that has low \emph{performative…

机器学习 · 计算机科学 2024-05-29 Licong Lin , Tijana Zrnic

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

最优化与控制 · 数学 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

In high-stakes engineering applications, optimization algorithms must come with provable worst-case guarantees over a mathematically defined class of problems. Designing for the worst case, however, inevitably sacrifices performance on the…

系统与控制 · 电气工程与系统科学 2025-08-04 Andrea Martin , Ian R. Manchester , Luca Furieri

For latent class models where the class weights depend on individual covariates, we derive a simple expression for computing the score vector and a convenient hybrid between the observed and the expected information matrices which is always…

统计计算 · 统计学 2015-11-13 Antonio Forcina

Recent advances in probabilistic modelling have led to a large number of simulation-based inference algorithms which do not require numerical evaluation of likelihoods. However, a public benchmark with appropriate performance metrics for…

In this paper, we address the challenging problem of learning from imbalanced data using a Nearest-Neighbor (NN) algorithm. In this setting, the minority examples typically belong to the class of interest requiring the optimization of…

机器学习 · 计算机科学 2020-01-23 Rémi Viola , Rémi Emonet , Amaury Habrard , Guillaume Metzler , Sébastien Riou , Marc Sebban

We consider the problem of maximizing non-negative non-decreasing set functions. Although most of the recent work focus on exploiting submodularity, it turns out that several objectives we encounter in practice are not submodular.…

数据结构与算法 · 计算机科学 2018-06-19 Gaurav Gupta , Sergio Pequito , Paul Bogdan

Indices quantifying the performance of classifiers under class-imbalance, often suffer from distortions depending on the constitution of the test set or the class-specific classification accuracy, creating difficulties in assessing the…

机器学习 · 计算机科学 2020-08-28 Sankha Subhra Mullick , Shounak Datta , Sourish Gunesh Dhekane , Swagatam Das

Most binary classifiers work by processing the input to produce a scalar response and comparing it to a threshold value. The various measures of classifier performance assume, explicitly or implicitly, probability distributions $P_s$ and…

机器学习 · 计算机科学 2019-09-24 Luma Omar , Ioannis Ivrissimtzis

Measurement error is an important problem that has not been very well studied in the context of Functional Data Analysis. To the best of our knowledge, there are no existing methods that address the presence of functional measurement errors…

统计理论 · 数学 2018-09-19 Sneha Jadhav , Shuangge Ma

We consider the problem of learning a loss function which, when minimized over a training dataset, yields a model that approximately minimizes a validation error metric. Though learning an optimal loss function is NP-hard, we present an…

机器学习 · 计算机科学 2019-07-02 Matthew Streeter

Identifiability is a desirable property of a statistical model: it implies that the true model parameters may be estimated to any desired precision, given sufficient computational resources and data. We study identifiability in the context…

机器学习 · 统计学 2020-07-09 Geoffrey Roeder , Luke Metz , Diederik P. Kingma

Since federated learning (FL) has been introduced as a decentralized learning technique with privacy preservation, statistical heterogeneity of distributed data stays the main obstacle to achieve robust performance and stable convergence in…

机器学习 · 计算机科学 2022-12-08 Yanhang Shi , Siguang Chen , Haijun Zhang

Random feature model with a nonlinear activation function has been shown to perform asymptotically equivalent to a Gaussian model in terms of training and generalization errors. Analysis of the equivalent model reveals an important yet not…

机器学习 · 计算机科学 2023-10-02 Samet Demir , Zafer Doğan

Improving the fairness of machine learning models is a nuanced task that requires decision makers to reason about multiple, conflicting criteria. The majority of fair machine learning methods transform the error-fairness trade-off into a…

神经与进化计算 · 计算机科学 2023-04-25 William G. La Cava

In many contemporary optimization problems such as those arising in machine learning, it can be computationally challenging or even infeasible to evaluate an entire function or its derivatives. This motivates the use of stochastic…

The F-measure is a widely used performance measure for multi-label classification, where multiple labels can be active in an instance simultaneously (e.g. in image tagging, multiple tags can be active in any image). In particular, the…

机器学习 · 统计学 2020-09-17 Mingyuan Zhang , Harish G. Ramaswamy , Shivani Agarwal

Identifying cause-effect relations among variables is a key step in the decision-making process. While causal inference requires randomized experiments, researchers and policymakers are increasingly using observational studies to test…

最优化与控制 · 数学 2021-11-22 Md Saiful Islam , Md Sarowar Morshed , Md. Noor-E-Alam