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Shape-Constrained Symbolic Regression—Improving Extrapolation with Prior Knowledge

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/0-387-23254-0_17openalex-snapshot
Pareto-Front Exploitation in Symbolic Regression
inferredcites →https://doi.org/10.1007/3-540-36599-0_7openalex-snapshot
Improving Symbolic Regression with Interval Arithmetic and Linear Scaling
inferredcites →https://doi.org/10.1007/3-540-45110-2_96openalex-snapshot
A Methodology for Combining Symbolic Regression and Design of Experiments to Improve Empirical Model Building
inferredcites →https://doi.org/10.1007/978-1-4614-1770-5_13openalex-snapshot
FFX: Fast, Scalable, Deterministic Symbolic Regression Technology
inferredcites →https://doi.org/10.1007/978-1-4614-6846-2_10openalex-snapshot
Symbolic Regression Model Comparison Approach Using Transmitted Variation
inferredcites →https://doi.org/10.1007/978-3-030-44094-7_11openalex-snapshot
SGP-DT: Semantic Genetic Programming Based on Dynamic Targets
inferredcites →https://doi.org/10.1007/978-3-319-16549-3_27openalex-snapshot
Procedural Personas as Critics for Dungeon Generation
inferredcites →https://doi.org/10.1007/978-3-319-31008-4_14openalex-snapshot
MetaCompose: A Compositional Evolutionary Music Composer
inferredcites →https://doi.org/10.1007/978-3-642-32937-1_3openalex-snapshot
Geometric Semantic Genetic Programming
inferredcites →https://doi.org/10.1007/s10710-019-09371-3openalex-snapshot
Parameter identification for symbolic regression using nonlinear least squares
inferredcites →https://doi.org/10.1016/j.arcontrol.2009.12.001openalex-snapshot
Perspectives on system identification
inferredcites →https://doi.org/10.1016/j.cma.2017.02.016openalex-snapshot
Data driven modeling of plastic deformation
inferredcites →https://doi.org/10.1016/j.ejor.2007.06.028openalex-snapshot
On a Feasible–Infeasible Two-Population (FI-2Pop) genetic algorithm for constrained optimization: Distance tracing and no free lunch
inferredcites →https://doi.org/10.1016/j.eswa.2018.05.021openalex-snapshot
A multilevel block building algorithm for fast modeling generalized separable systems
inferredcites →https://doi.org/10.1016/j.ins.2018.02.040openalex-snapshot
A greedy search tree heuristic for symbolic regression
inferredcites →https://doi.org/10.1016/j.jcp.2019.05.024openalex-snapshot
Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data
inferredcites →https://doi.org/10.1038/s42256-019-0048-xopenalex-snapshot
Stop explaining black box machine learning models for high stakes decisions and use interpretable models instead
inferredcites →https://doi.org/10.1063/1.5112747openalex-snapshot
Prediction of stress-strain curves for aluminium alloys using symbolic regression
inferredcites →https://doi.org/10.1080/10618600.2012.707343openalex-snapshot
Shape-Constrained Estimation Using Nonnegative Splines
inferredcites →https://doi.org/10.1109/4235.873237openalex-snapshot
Two fast tree-creation algorithms for genetic programming
inferredcites →https://doi.org/10.1109/4235.942529openalex-snapshot
Grammatical evolution
inferredcites →https://doi.org/10.1109/cec.2018.8477858openalex-snapshot
Classification with Multi-Modal Classes Using Evolutionary Algorithms and Constrained Clustering
inferredcites →https://doi.org/10.1109/cec.2019.8789889openalex-snapshot
A Memetic Algorithm for Symbolic Regression
inferredcites →https://doi.org/10.1109/tbme.2012.2189771openalex-snapshot
Extrapolatable Analytical Functions for Tendon Excursions and Moment Arms From Sparse Datasets
inferredcites →https://doi.org/10.1109/tevc.2018.2813931openalex-snapshot
IEEE Congress on Evolutionary Computation
inferredcites →https://doi.org/10.1109/tnnls.2020.3017010openalex-snapshot
Integration of Neural Network-Based Symbolic Regression in Deep Learning for Scientific Discovery
inferredcites →https://doi.org/10.1126/sciadv.aay2631openalex-snapshot
AI Feynman: A physics-inspired method for symbolic regression
inferredcites →https://doi.org/10.1137/18m118935xopenalex-snapshot
DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization
inferredcites →https://doi.org/10.1145/1388969.1389075openalex-snapshot
Cartesian genetic programming
inferredcites →https://doi.org/10.1145/1569901.1570048openalex-snapshot
Incorporating expert knowledge in evolutionary search
inferredcites →https://doi.org/10.1145/1570256.1570428openalex-snapshot
Cartesian genetic programming
inferredcites →https://doi.org/10.1145/1830483.1830648openalex-snapshot
Robust symbolic regression with affine arithmetic
inferredcites →https://doi.org/10.1145/2463372.2463486openalex-snapshot
Prioritized grammar enumeration
inferredcites →https://doi.org/10.1145/2576768.2598291openalex-snapshot
Multiple regression genetic programming
inferredcites →https://doi.org/10.1145/3067695.3076107openalex-snapshot
Revisiting interval arithmetic for regression problems in genetic programming
inferredcites →https://doi.org/10.1145/3205455.3205539openalex-snapshot
Where are we now?
inferredcites →https://doi.org/10.1145/3321707.3321743openalex-snapshot
Solving symbolic regression problems with formal constraints
inferredcites →https://doi.org/10.1145/502102.502106openalex-snapshot
Interval arithmetic
inferredcites →https://doi.org/10.1162/evco.1997.5.1.31openalex-snapshot
Empirical Investigation of the Benefits of Partial Lamarckianism
inferredcites →https://doi.org/10.1162/evco_a_00205openalex-snapshot
Competent Geometric Semantic Genetic Programming for Symbolic Regression and Boolean Function Synthesis
inferredcites →https://doi.org/10.1162/evco_a_00285openalex-snapshot
Interaction–Transformation Evolutionary Algorithm for Symbolic Regression
inferredcites →https://doi.org/10.1198/tech.2010.10111openalex-snapshot
Nearly-Isotonic Regression
inferredcites →https://doi.org/10.1214/18-sts665openalex-snapshot
Nonparametric Shape-Restricted Regression
inferredcites →https://doi.org/10.1214/aos/1176345140openalex-snapshot
Isotonic, Convex and Related Splines
inferredcites →https://doi.org/10.1214/ss/1009213727openalex-snapshot
A General Projection Framework for Constrained Smoothing
inferredcites →https://doi.org/10.1287/opre.2021.0383openalex-snapshot
Shape-Constrained Regression Using Sum of Squares Polynomials
inferredcites →https://doi.org/10.1609/aaai.v31i1.10934openalex-snapshot
Label-Free Supervision of Neural Networks with Physics and Domain Knowledge
inferredcites →https://doi.org/10.21236/ada419567openalex-snapshot
The 2003 Genetic and Evolutionary Computation Conference
inferredcites →https://doi.org/10.25088/complexsystems.14.4.285openalex-snapshot
A Comparison of Several Linear Genetic Programming Techniques
inferredcites →https://doi.org/10.2514/152157openalex-snapshot
Fundamentals of Aerodynamics
inferredcites →https://doi.org/10.3182/20080706-5-kr-1001.01215openalex-snapshot
Perspectives on System Identification
inferredcites →https://doi.org/10.48550/arxiv.1806.06996openalex-snapshot
Optimization over Nonnegative and Convex Polynomials With and Without Semidefinite Programming
inferredcites →https://doi.org/10.48550/arxiv.1806.07259openalex-snapshot
Learning Equations for Extrapolation and Control
inferredcites →https://doi.org/10.48550/arxiv.1901.07714openalex-snapshot
Neural-Guided Symbolic Regression with Asymptotic Constraints
inferredcites →https://doi.org/10.48550/arxiv.1912.04871openalex-snapshot
Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients
inferredcites →https://doi.org/10.48550/arxiv.cs/0102027openalex-snapshot
Gene Expression Programming: a New Adaptive Algorithm for Solving Problems
inferredcites →https://doi.org/10.5555/2946645.3007062openalex-snapshot
Monotonic Calibrated Interpolated Look-Up Tables

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4664119openalex-extracted
Building Surrogate Models by Integrating Limited Simulation Data and Shape Prior Knowledge Via Adaptive Gradient Sampling Strategy
inferred← citeshttps://doi.org/10.1002/idm2.12180openalex-snapshot
Exploring the mathematic equations behind the materials science data using interpretable symbolic regression
inferred← citeshttps://doi.org/10.1007/978-3-031-25312-6_17openalex-snapshot
Comparing Shape-Constrained Regression Algorithms for Data Validation
inferred← citeshttps://doi.org/10.1007/978-3-031-25312-6_18openalex-snapshot
Improving the Flexibility of Shape-Constrained Symbolic Regression with Extended Constraints
inferred← citeshttps://doi.org/10.1007/978-3-031-25312-6_19openalex-snapshot
Shape-Constrained Symbolic Regression with NSGA-III
inferred← citeshttps://doi.org/10.1007/978-3-031-65633-0_11openalex-snapshot
Safe Exploration in Reinforcement Learning by Reachability Analysis over Learned Models
inferred← citeshttps://doi.org/10.1007/978-3-031-82949-9_11openalex-snapshot
Automated Inference of Domain Knowledge in Scientific Machine Learning
inferred← citeshttps://doi.org/10.1007/978-3-031-82949-9_15openalex-snapshot
A Comparison of Recent Algorithms for Symbolic Regression to Genetic Programming
inferred← citeshttps://doi.org/10.1007/978-3-031-82949-9_6openalex-snapshot
A Hybrid Cooperative Approach for Symbolic Regression
inferred← citeshttps://doi.org/10.1007/978-3-031-82949-9_7openalex-snapshot
Comparing Constraint Evaluation Methods for Shape-Constrained Regression
inferred← citeshttps://doi.org/10.1007/978-3-031-94266-2_19openalex-snapshot
Implicit Relationship Mining for Analog Circuit Design Using AI Symbolic Regression
inferred← citeshttps://doi.org/10.1007/978-3-032-23005-8_12openalex-snapshot
Extending Model Selection Criteria with Extrapolation and Sensitivity Penalties for Symbolic Regression
inferred← citeshttps://doi.org/10.1007/978-981-99-8413-8_12openalex-snapshot
Shape-constrained Symbolic Regression: Real-World Applications in Magnetization, Extrusion and Data Validation
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Shear strength capacity estimation for exterior and interior beam-column joints through gene expression programming
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Interpretable knowledge distillation via symbolic regression for feedforward neural networks
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Informed machine learning to reconcile interpretability with fidelity in scientific applications
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Alleviating overfitting in transformation-interaction-rational symbolic regression with multi-objective optimization
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Artificial Intelligence in Physical Sciences: Symbolic Regression Trends and Perspectives
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A Comprehensive Survey on Symbolic Regression: State-of-the-Art Approaches, Key Applications, Benchmark Evaluations, and Future Research Directions
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Theory-inspired machine learning—towards a synergy between knowledge and data
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Shape-constrained multi-objective genetic programming for symbolic regression
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Guiding symbolic regression with fuzzy cognitive maps: a hybrid framework for discovering interpretable, theory-consistent analytical expressions
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Assessing interpretability in symbolic regression: A structured review and physics-aware model-selection framework
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Integrating knowledge-guided symbolic regression and model-based design of experiments to automate process flow diagram development
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Using shape constraints to incorporate extrapolation capabilities into the regression models of a hybrid approach for predicting the polymer melt flow through twin-screw extruder kneading blocks
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Integrating small data and shape prior knowledge with gradient-enhanced Kriging through adaptive knowledge sampling
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Study α decay and proton emission based on data-driven symbolic regression
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Pulling the carpet below the learner’s feet: Genetic algorithm to learn ensemble machine learning model during concept drift
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Complementing a Continuum Thermodynamic Approach to Constitutive Modeling with Symbolic Regression
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Multi-gene genetic programming extension of AASHTO M-E for design of low-volume concrete pavements
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Modeling plasticity-mediated void growth at the single crystal scale: A physics-informed machine learning approach
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Discovering causal relations and equations from data
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Automated Machine Learning for Industrial Applications – Challenges and Opportunities
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An Event-Streaming Architecture for Machine Learning in Dynamic Sensor Landscapes
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Enhanced Interpretability in Root Cause Analysis Using Structure-Template Symbolic Regression
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A mathematical framework of SMS reminder campaigns for pre- and post-diagnosis check-ups using socio-demographics: An in-silco investigation into breast cancer
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A computational framework for physics-informed symbolic regression with straightforward integration of domain knowledge
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Evolutionary neural networks for learning turbulence closure models with explicit expressions
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Explicit modelling of lift characteristics for high-lift devices based on knowledge-guided symbolic regression using large language model
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Incorporating background knowledge in symbolic regression using a computer algebra system
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Symbolic regression as a feature engineering method for machine and deep learning regression tasks
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Machine and deep learning performance in out-of-distribution regressions
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Data-driven discovery of digital twins in biomedical research
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Toward Physically Plausible Data-Driven Models: A Novel Neural Network Approach to Symbolic Regression
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Follow the Forest Trail: Distillation by Gradient Boosting Models to Enhance Symbolic Regression Performance
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Shape-Constrained Hybrid Deep Learning–Genetic Programming Algorithm for Symbolic Regression
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Does Kaizen Programming need a physic-informed mechanism to improve the search?
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Comparing optimistic and pessimistic constraint evaluation in shape-constrained symbolic regression
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Fighting Underspecification in Symbolic Regression with Fitness Sharing
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Evolving Deformable Mirror Control to Generate Partially Coherent Light Fields
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Data Validation Utilizing Expert Knowledge and Shape Constraints
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SCRBenchmark: A Benchmarking Library for Shape-Constrained Regression
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Can Synthetic Data Improve Symbolic Regression Extrapolation Performance?
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Improving Genetic Programming for Symbolic Regression with Equality Graphs
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Editorial: Reflecting on Thirty Years ofECJ
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Constrained regression with ordered and margin-sensitive parameters: Application in improving interpretability for regression models with prior knowledge
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Impact of domain knowledge on developing pumping models for single-screw extruders using symbolic regression
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Physics Informed Symbolic Regression for Data-Efficient Kinetic Model Discovery
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Separation of particle breakage and rearrangement contributions to compaction densification of sand at unfrozen and frozen conditions
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Physics-Informed Research Assistant for Theory Extraction (PIRATE) for Missing Physics Discovery
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Genetic Programming for Symbolic Regression on Incomplete Data
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Genetic Programming for Symbolic Regression on Incomplete Data
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An Explicit Formula for the Dry Packing Density of Aggregate Gradations Derived from the de Larrard Compressible Packing Model by Symbolic Regression
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Research on Leaf Area Index Inversion Based on LESS 3D Radiative Transfer Model and Machine Learning Algorithms
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Using Shape Constraints for Improving Symbolic Regression Models
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Physics-Informed Automated Discovery of Kinetic Models
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