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The use of correlation as a fitness function is explored in symbolic regression tasks and the performance is compared against the typical RMSE fitness function. Using correlation with an alignment step to conclude the evolution led to…

神经与进化计算 · 计算机科学 2022-08-02 Nathan Haut , Wolfgang Banzhaf , Bill Punch

We consider a generic empirical composition optimization problem, where there are empirical averages present both outside and inside nonlinear loss functions. Such a problem is of interest in various machine learning applications, and…

最优化与控制 · 数学 2019-11-04 Adithya M. Devraj , Jianshu Chen

Very recently, the first mathematical runtime analyses for the NSGA-II, the most common multi-objective evolutionary algorithm, have been conducted. Continuing this research direction, we prove that the NSGA-II optimizes the OneJumpZeroJump…

神经与进化计算 · 计算机科学 2024-10-10 Benjamin Doerr , Zhongdi Qu

In genetic studies, not only can the number of predictors obtained from microarray measurements be extremely large, there can also be multiple response variables. Motivated by such a situation, we consider semiparametric dimension reduction…

统计方法学 · 统计学 2013-09-25 Heng Lian , Shujie Ma

Evolutionary symbolic regression approaches are powerful tools that can approximate an explicit mapping between input features and observation for various problems. However, ensuring that explored expressions maintain consistency with…

最优化与控制 · 数学 2024-11-19 Maximilian Reissmann , Yuan Fang , Andrew Ooi , Richard Sandberg

The performance of a Multiobjective Evolutionary Algorithm (MOEA) is crucially dependent on the parameter setting of the operators. The most desired control of such parameters presents the characteristic of adaptiveness, i.e., the capacity…

神经与进化计算 · 计算机科学 2013-05-23 Arthur Carvalho , Aluizio F. R. Araujo

Our goal is to identify beneficial interventions from observational data. We consider interventions that are narrowly focused (impacting few covariates) and may be tailored to each individual or globally enacted over a population. For…

机器学习 · 统计学 2017-05-03 Jonas Mueller , David N. Reshef , George Du , Tommi Jaakkola

Discovering the underlying mathematical expressions describing a dataset is a core challenge for artificial intelligence. This is the problem of $\textit{symbolic regression}$. Despite recent advances in training neural networks to solve…

We study a persistent failure mode in multi-objective alignment for large language models (LLMs): training improves performance on only a subset of objectives while causing others to degrade. We formalize this phenomenon as cross-objective…

计算与语言 · 计算机科学 2026-05-07 Yining Lu , Meng Jiang

Many statistical estimators for high-dimensional linear regression are M-estimators, formed through minimizing a data-dependent square loss function plus a regularizer. This work considers a new class of estimators implicitly defined…

统计理论 · 数学 2022-02-15 Peng Zhao , Yun Yang , Qiao-Chu He

No-Reference Image Quality Assessment (NR-IQA) remains a challenging task due to the diversity of distortions and the lack of large annotated datasets. Many studies have attempted to tackle these challenges by developing more accurate…

计算机视觉与模式识别 · 计算机科学 2024-09-09 Nasim Jamshidi Avanaki , Abhijay Ghildyal , Nabajeet Barman , Saman Zadtootaghaj

In this paper, we propose an interactive genetic algorithm for solving multi-objective combinatorial optimization problems under preference imprecision. More precisely, we consider problems where the decision maker's preferences over…

人工智能 · 计算机科学 2023-11-13 Nawal Benabbou , Cassandre Leroy , Thibaut Lust

Selective rationalization improves neural network interpretability by identifying a small subset of input features -- the rationale -- that best explains or supports the prediction. A typical rationalization criterion, i.e. maximum mutual…

机器学习 · 计算机科学 2020-03-24 Shiyu Chang , Yang Zhang , Mo Yu , Tommi S. Jaakkola

Symbolic Regression (SR) searches for mathematical expressions which best describe numerical datasets. This allows to circumvent interpretation issues inherent to artificial neural networks, but SR algorithms are often computationally…

机器学习 · 计算机科学 2025-01-06 Florian Lalande , Yoshitomo Matsubara , Naoya Chiba , Tatsunori Taniai , Ryo Igarashi , Yoshitaka Ushiku

Randomized experiments are the gold standard for causal inference, and justify simple comparisons across treatment groups. Regression adjustment provides a convenient way to incorporate covariate information for additional efficiency. This…

统计方法学 · 统计学 2022-10-25 Anqi Zhao , Peng Ding

Symbolic regression (SR) aims to discover mathematical expressions from data, a task traditionally tackled using Genetic Programming (GP) through combinatorial search over symbolic structures. Latent Space Optimization (LSO) methods use…

神经与进化计算 · 计算机科学 2026-04-14 Benjamin Léger , Kazem Meidani , Christian Gagné

Population adjustment methods such as matching-adjusted indirect comparison (MAIC) are increasingly used to compare marginal treatment effects when there are cross-trial differences in effect modifiers and limited patient-level data. MAIC…

统计方法学 · 统计学 2022-12-06 Antonio Remiro-Azócar , Anna Heath , Gianluca Baio

A core challenge for both physics and artificial intellicence (AI) is symbolic regression: finding a symbolic expression that matches data from an unknown function. Although this problem is likely to be NP-hard in principle, functions of…

计算物理 · 物理学 2020-04-16 Silviu-Marian Udrescu , Max Tegmark

In performative learning, the data distribution reacts to the deployed model - for example, because strategic users adapt their features to game it - which creates a more complex dynamic than in classical supervised learning. One should…

机器学习 · 计算机科学 2025-10-15 Edwige Cyffers , Alireza Mirrokni , Marco Mondelli

Symbolic Regression (SR) is a type of regression analysis to automatically find the mathematical expression that best fits the data. Currently, SR still basically relies on various searching strategies so that a sample-specific model is…

计算机视觉与模式识别 · 计算机科学 2022-06-16 Jiachen Li , Ye Yuan , Hong-Bin Shen