Tasks SotA Datasets Papers Methods Submit About

Papers With Code 2

A community resource for machine learning research: papers, code, benchmarks, and state-of-the-art results.

Explore

Notable Benchmarks All SotA Datasets Papers Methods

Community

Submit Results About

Data sourced from the PWC Archive (CC-BY-SA 4.0). Built by the community, for the community.

Methods/Linear Regression

Linear Regression

GeneralIntroduced 20001657 papers

Description

Linear Regression is a method for modelling a relationship between a dependent variable and independent variables. These models can be fit with numerous approaches. The most common is least squares, where we minimize the mean square error between the predicted values $\hat{y} = \textbf{X}\hat{\beta}$ and actual values $y$ : $\left(y-\textbf{X}\beta\right)^{2}$ .

We can also define the problem in probabilistic terms as a generalized linear model (GLM) where the pdf is a Gaussian distribution, and then perform maximum likelihood estimation to estimate $\hat{\beta}$ .

Image Source: Wikipedia

Papers Using This Method

Wild Bootstrap Inference for Linear Regressions with Many Covariates2025-06-26 The Persistent Effects of Peru's Mining MITA: Double Machine Learning Approach2025-06-23 Enhancing eLoran Timing Accuracy via Machine Learning with Meteorological and Terrain Data2025-06-18 A Simplified Analysis of SGD for Linear Regression with Weight Averaging2025-06-18 Uniform Mean Estimation for Heavy-Tailed Distributions via Median-of-Means2025-06-17 Optimizing Blood Transfusions and Predicting Shortages in Resource-Constrained Areas2025-06-14 Statistical Machine Learning for Astronomy -- A Textbook2025-06-13 Standard LSParameter Estimators Ensure Finite Convergence Time for Linear Regression Equations Under an Interval Excitation Assumption2025-06-09 Heavy Lasso: sparse penalized regression under heavy-tailed noise via data-augmented soft-thresholding2025-06-09 Differentially Private Sparse Linear Regression with Heavy-tailed Responses2025-06-07 An Optimized Franz-Parisi Criterion and its Equivalence with SQ Lower Bounds2025-06-06 Privacy Amplification Through Synthetic Data: Insights from Linear Regression2025-06-05 Counterfactual reasoning: an analysis of in-context emergence2025-06-05 Meta-analysis of Life Cycle Assessments for Li-Ion Batteries Production Emissions2025-06-05 Modern approaches to building effective interpretable models of the property market using machine learning2025-06-05 Visualizing and Controlling Cortical Responses Using Voxel-Weighted Activation Maximization2025-06-04 Relational reasoning and inductive bias in transformers trained on a transitive inference task2025-06-04 Replay Can Provably Increase Forgetting2025-06-04 Retrieval-Augmented Generation as Noisy In-Context Learning: A Unified Theory and Risk Bounds2025-06-03 Linear regression with overparameterized linear neural networks: Tight upper and lower bounds for implicit $\ell^1$-regularization2025-06-01