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Regression evaluation has been performed for decades. Some metrics have been identified to be robust against shifting and scaling of the data but considering the different distributions of data is much more difficult to address (imbalance…

Machine Learning · Computer Science 2020-09-14 Mario Michael Krell , Bilal Wehbe

In Generalized Linear Models (GLMs) it is assumed that there is a linear effect of the predictor variables on the outcome. However, this assumption is often too strict, because in many applications predictors have a nonlinear relation with…

Methodology · Statistics 2023-09-04 S. J. W. Willems , A. J. van der Kooij , J. J. Meulman

Visual relocalization aims to estimate the pose of a camera from one or more images. In recent years deep learning based pose regression methods have attracted many attentions. They feature predicting the absolute poses without relying on…

Computer Vision and Pattern Recognition · Computer Science 2022-05-27 Chengyu Qiao , Zhiyu Xiang , Xinglu Wang

Most accurate predictions are typically obtained by learning machines with complex feature spaces (as e.g. induced by kernels). Unfortunately, such decision rules are hardly accessible to humans and cannot easily be used to gain insights…

Machine Learning · Statistics 2010-08-13 Alexander Zien , Nicole Kraemer , Soeren Sonnenburg , Gunnar Raetsch

Importance weighting is a fundamental procedure in statistics and machine learning that weights the objective function or probability distribution based on the importance of the instance in some sense. The simplicity and usefulness of the…

Machine Learning · Computer Science 2024-05-15 Masanari Kimura , Hideitsu Hino

Inference-time alignment methods have gained significant attention for their efficiency and effectiveness in aligning large language models (LLMs) with human preferences. However, existing dominant approaches using reward-guided search…

Computation and Language · Computer Science 2025-07-01 Bin Xie , Bingbing Xu , Yige Yuan , Shengmao Zhu , Huawei Shen

Importance weighting is a standard tool for correcting distribution shift, but its statistical behavior under target shift -- where the label distribution changes between training and testing while the conditional distribution of inputs…

Machine Learning · Statistics 2026-03-04 Davit Gogolashvili

Importance weighting is widely applicable in machine learning in general and in techniques dealing with data covariate shift problems in particular. A novel, direct approach to determine such importance weighting is presented. It relies on…

Machine Learning · Computer Science 2021-02-05 Marco Loog

Simulation-based inference plays a major role in modern statistics, and often employs either reallocating (as in a randomization test) or resampling (as in bootstrapping). Reallocating mimics random allocation to treatment groups, while…

Statistics Theory · Mathematics 2017-08-08 Kari Lock Morgan

This chapter provides an extended overview about Reduced Order Models (ROMs), with a focus on their features in terms of efficiency and accuracy. In particular, the aim is to browse the more common ROM frameworks, considering both intrusive…

Numerical Analysis · Mathematics 2024-09-04 Pierfrancesco Siena , Paquale Claudio Africa , Michele Girfoglio , Gianluigi Rozza

Robust Ordinal Regression (ROR) is a way of dealing with Multiple Criteria Decision Aiding (MCDA), by considering all sets of parameters of an assumed preference model, that are compatible with preference information given by the Decision…

Optimization and Control · Mathematics 2012-06-28 Salvatore Corrente , Salvatore Greco , Roman Slowinski

For complex latent variable models, the likelihood function is not available in closed form. In this context, a popular method to perform parameter estimation is Importance Weighted Variational Inference. It essentially maximizes the…

Statistics Theory · Mathematics 2025-01-16 Badr-Eddine Cherief-Abdellatif , Randal Douc , Arnaud Doucet , Hugo Marival

Reward models (RMs) guide the alignment of large language models (LLMs), steering them toward behaviors preferred by humans. Evaluating RMs is the key to better aligning LLMs. However, the current evaluation of RMs may not directly…

Computation and Language · Computer Science 2025-04-07 Enyu Zhou , Guodong Zheng , Binghai Wang , Zhiheng Xi , Shihan Dou , Rong Bao , Wei Shen , Limao Xiong , Jessica Fan , Yurong Mou , Rui Zheng , Tao Gui , Qi Zhang , Xuanjing Huang

Various financial market scenarios may cause heterogeneous risk assessments among analysts, which motivates the usage of the Generalized Risk Measure in Fadina et al. (2024, Finance and Stochastics). Effectively synthesizing these diverse…

Risk Management · Quantitative Finance 2026-03-13 Yang Liu , Yunran Wei , Xintao Ye

Adaptive importance sampling for stochastic optimization is a promising approach that offers improved convergence through variance reduction. In this work, we propose a new framework for variance reduction that enables the use of mixtures…

Machine Learning · Computer Science 2019-04-01 Zalán Borsos , Sebastian Curi , Kfir Y. Levy , Andreas Krause

The use of variable selection methods is particularly appealing in statistical problems with functional data. The obvious general criterion for variable selection is to choose the `most representative' or `most relevant' variables. However,…

Methodology · Statistics 2016-08-09 José R. Berrendero , Antonio Cuevas , José L. Torrecilla

Evaluating the relevance of an exogenous data series is the first step in improving the prediction capabilities of a forecast algorithm. Inspired by existing metrics for time series similarity, we introduce a new approach named FARM -…

Signal Processing · Electrical Eng. & Systems 2023-04-25 Ramón Christen , Luca Mazzola , Alexander Denzler , Edy Portmann

The Robbins-Monro stochastic approximation algorithm is a foundation of many algorithmic frameworks for reinforcement learning (RL), and often an efficient approach to solving (or approximating the solution to) complex optimal control…

Optimization and Control · Mathematics 2019-03-19 Andrey Bernstein , Yue Chen , Marcello Colombino , Emiliano Dall'Anese , Prashant Mehta , Sean Meyn

Many economic and causal parameters depend on nonparametric or high dimensional first steps. We give a general construction of locally robust/orthogonal moment functions for GMM, where moment conditions have zero derivative with respect to…

Modal regression, a widely used regression protocol, has been extensively investigated in statistical and machine learning communities due to its robustness to outliers and heavy-tailed noises. Understanding modal regression's theoretical…

Machine Learning · Statistics 2022-03-15 Tielang Gong , Yuxin Dong , Hong Chen , Bo Dong , Wei Feng , Chen Li