Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:05:45.964799Z
Paper Citation Record · LEDGER
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
As of 9 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 10 inbound Pith citation observations for arXiv:2506.04282.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:42:39.481894Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Reference resolution
58 of 58 outbound references displayed
- verified exact4
- verified fuzzy31
- unresolved22
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z
Outbound references
Observation 2f6e60c0-4639-4b3f-ba1f-51150205f43b · outbound
This paper cites Interpretable scientific discovery with symbolic regression: a review.Artificial Intelligence Review, 57(1):2, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Interpretable scientific discovery with symbolic regression: a review.Artificial Intelligence Review, 57(1):2, 2024
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:49.002039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation ecde0db9-60b3-473f-bb7d-9caceea155d4 · outbound
This paper cites Rediscover- ing orbital mechanics with machine learning.Machine Learning: Science and Technology, 4(4):045002, 2023.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Rediscover- ing orbital mechanics with machine learning.Machine Learning: Science and Technology, 4(4):045002, 2023
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.962794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3e407f10-9c3b-4945-bdf3-76f4a244ed03 · outbound
This paper cites Discovery of a planar black hole mass scaling relation for spiral galaxies.The Astrophysical Journal Letters, 956(1):L22, 2023.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Discovery of a planar black hole mass scaling relation for spiral galaxies.The Astrophysical Journal Letters, 956(1):L22, 2023
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.912626Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6a5659cb-39fd-4b19-8e68-7d7dc299945f · outbound
This paper cites Emerging materials intelligence ecosystems propelled by machine learning.Nature Reviews Materials, 6(8):655–678, 2021.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Emerging materials intelligence ecosystems propelled by machine learning.Nature Reviews Materials, 6(8):655–678, 2021
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.878244Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 990f26cb-8901-4d97-9d69-fd01bb0f219d · outbound
This paper cites Fast, accurate, and transferable many-body interatomic potentials by symbolic regres- sion.npj Computational Materials, 5(1):112, 2019.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Fast, accurate, and transferable many-body interatomic potentials by symbolic regres- sion.npj Computational Materials, 5(1):112, 2019
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.840517Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b0673c63-baa5-4311-a490-e179a38f6428 · outbound
This paper cites Generating synergistic formulaic alpha collections via reinforcement learning.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Generating synergistic formulaic alpha collections via reinforcement learning
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.334789Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 967076b8-bdb1-40f5-851a-aeb18713ee12 · outbound
This paper cites Hrft: Mining high- frequency risk factor collections end-to-end via transformer.arXiv preprint arXiv:2408.01271, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Hrft: Mining high- frequency risk factor collections end-to-end via transformer.arXiv preprint arXiv:2408.01271, 2024
Reference 7
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T11:05:47.379242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 96311e20-6e7e-49b0-8957-aac3838687e2 · outbound
This paper cites Distilling free-form natural laws from experimental data.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Distilling free-form natural laws from experimental data
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.365514Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 75120ad0-f325-40f3-a999-f779b74fa3e1 · outbound
This paper cites Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Interpretable Machine Learning for Science with PySR and SymbolicRegression.jl
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.387592Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4e9f848-5ffc-4728-aa3e-365b4dfa7ae2 · outbound
This paper cites Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.404301Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 00bfc12a-dea9-4c0a-aa40-09dfa3803316 · outbound
This paper cites Neural symbolic regression that scales.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Neural symbolic regression that scales
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.747819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2f86f7ea-f807-45bf-850a-5d427e2741d3 · outbound
This paper cites End-to-end symbolic regression with transformers.Advances in Neural Information Processing Systems, 35:10269–10281, 2022.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience End-to-end symbolic regression with transformers.Advances in Neural Information Processing Systems, 35:10269–10281, 2022
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.689316Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 20970ee5-a923-4e85-a68c-2afb87fa8c92 · outbound
This paper cites LLM-SR: Scientific Equation Discovery via Programming with Large Language Models.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience LLM-SR: Scientific Equation Discovery via Programming with Large Language Models
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.440706Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27bb29ab-9982-49a3-93bd-3dee0616259e · outbound
This paper cites Mixtral of Experts.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Mixtral of Experts
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.445650Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d77d099b-cca0-4cbd-933b-fcfe8bfa595b · outbound
This paper cites Llama-3.1-FoundationAI-SecurityLLM-Base-8B Technical Report.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Llama-3.1-FoundationAI-SecurityLLM-Base-8B Technical Report
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.454831Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 650056de-b3a7-4e46-8c94-732f3f390a96 · outbound
This paper cites In-Context Symbolic Regression: Leveraging Large Language Models for Function Discovery.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience In-Context Symbolic Regression: Leveraging Large Language Models for Function Discovery
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.470823Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fd39cf2d-af29-4e67-bfdc-2d737bad795f · outbound
This paper cites LLM-SRBench: A New Benchmark for Scientific Equation Discovery with Large Language Models.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience LLM-SRBench: A New Benchmark for Scientific Equation Discovery with Large Language Models
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.480612Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ff8fa24-cec8-45d7-886f-0fa088f4de9e · outbound
This paper cites The growth of bacterial cultures.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience The growth of bacterial cultures
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.655993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 19e89ec7-9eec-430d-93ed-e4c857ef9150 · outbound
This paper cites Convenient model to describe the combined effects of temperature and ph on microbial growth.Applied and environmental microbiology, 61(2):610–616, 1995.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Convenient model to describe the combined effects of temperature and ph on microbial growth.Applied and environmental microbiology, 61(2):610–616, 1995
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.613639Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fa3fc3c5-83cd-42bf-a9b0-241bc74a8fd6 · outbound
This paper cites Ai feynman: A physics-inspired method for symbolic regression.Science advances, 6(16):eaay2631, 2020.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Ai feynman: A physics-inspired method for symbolic regression.Science advances, 6(16):eaay2631, 2020
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.533233Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c14a4ed0-16f0-42a3-b8c6-64d930b4bc9e · outbound
This paper cites A unified framework for deep symbolic regression.Advances in Neural Information Processing Systems, 35:33985– 33998, 2022.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience A unified framework for deep symbolic regression.Advances in Neural Information Processing Systems, 35:33985– 33998, 2022
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.529980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 899737bf-6c65-49e4-b298-84aaea550537 · outbound
This paper cites Symbolic regression with a learned concept library.Advances in Neural Information Processing Systems, 37:44678–44709, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Symbolic regression with a learned concept library.Advances in Neural Information Processing Systems, 37:44678–44709, 2024
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.480887Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation aa4c4c37-6b85-4318-a71b-87db3da654d3 · outbound
This paper cites Information processing, data inferences, and scientific generalization.Behav- ioral Science, 19(5):314–325, 1974.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Information processing, data inferences, and scientific generalization.Behav- ioral Science, 19(5):314–325, 1974
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.434727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 8e7e296e-4102-4372-9614-b55b47bd8195 · outbound
This paper cites Bacon: A production system that discovers empirical laws.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Bacon: A production system that discovers empirical laws
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.400934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1b2c462f-3519-4c69-a4e0-306f73cefec9 · outbound
This paper cites Genetic programming as a means for programming computers by natural selection.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Genetic programming as a means for programming computers by natural selection
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.361136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation d7caeb53-cea5-4865-aac7-0318bd57c59c · outbound
This paper cites Symbolic Physics Learner: Discovering governing equations via Monte Carlo tree search.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Symbolic Physics Learner: Discovering governing equations via Monte Carlo tree search
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.597524Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a3b21baa-c373-4913-887d-db3a9364b415 · outbound
This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.Proceedings of the national academy of sciences, 113(15):3932–3937, 2016.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Discovering governing equations from data by sparse identification of nonlinear dynamical systems.Proceedings of the national academy of sciences, 113(15):3932–3937, 2016
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.610910Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ef77839a-cec8-4ecf-baa8-cdc8aa0f8a79 · outbound
This paper cites Data-driven discovery of coordinates and governing equations.Proceedings of the National Academy of Sciences, 116(45):22445–22451, 2019.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Data-driven discovery of coordinates and governing equations.Proceedings of the National Academy of Sciences, 116(45):22445–22451, 2019
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.621837Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f6a22c80-b766-407e-8cee-bc2e4fb67f57 · outbound
This paper cites Extrapolation and learning equations.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Extrapolation and learning equations
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.633035Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4bedd013-060a-4bdb-a81f-8a0a4bb78884 · outbound
This paper cites Learning equations for extrapolation and control.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Learning equations for extrapolation and control
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.259563Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation a0afdfb5-0407-4854-8256-ef591d41f800 · outbound
This paper cites Integration of neural network-based symbolic regression in deep learning for scientific discovery.IEEE transactions on neural networks and learning systems, 32(9):4166– 4177, 2020.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Integration of neural network-based symbolic regression in deep learning for scientific discovery.IEEE transactions on neural networks and learning systems, 32(9):4166– 4177, 2020
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.224561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fd2d554f-76b5-4995-9fce-eb70efc17969 · outbound
This paper cites PruneSymNet: A Symbolic Neural Network and Pruning Algorithm for Symbolic Regression.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience PruneSymNet: A Symbolic Neural Network and Pruning Algorithm for Symbolic Regression
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:05:46.788766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 993466f6-0ee0-425a-937b-8bcd42ad5f35 · outbound
This paper cites Metasymnet: A tree-like symbol network with adaptive architecture and activation functions.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Metasymnet: A tree-like symbol network with adaptive architecture and activation functions
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.169892Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation dc98ea05-6d38-4441-a487-23791eaf8c25 · outbound
This paper cites Stanford University, Department of Computer Science Stanford, CA, 1990.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Stanford University, Department of Computer Science Stanford, CA, 1990
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.129084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 16b2d05c-7cd3-4ffc-a376-9cc81d335dd9 · outbound
This paper cites Interaction–transformation evolutionary algorithm for symbolic regression.Evolutionary computation, 29(3):367–390, 2021.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Interaction–transformation evolutionary algorithm for symbolic regression.Evolutionary computation, 29(3):367–390, 2021
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.091360Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7d0486f6-15b4-4360-b9c4-59eda9436d00 · outbound
This paper cites Taylor genetic program- ming for symbolic regression.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Taylor genetic program- ming for symbolic regression
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.058705Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 676ea408-a400-4d3d-ab18-41e878fb1952 · outbound
This paper cites Sr-forest: a genetic pro- gramming based heterogeneous ensemble learning method.IEEE Transactions on Evolutionary Computation, 2023.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Sr-forest: a genetic pro- gramming based heterogeneous ensemble learning method.IEEE Transactions on Evolutionary Computation, 2023
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:48.010625Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 7a665548-42c2-4021-9f86-a57c5d5e26de · outbound
This paper cites Symbolic Regression via Neural-Guided Genetic Programming Population Seeding.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Symbolic Regression via Neural-Guided Genetic Programming Population Seeding
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.728437Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6cb197d9-dcd2-42cb-9977-62c3421b8054 · outbound
This paper cites Improving exploration in policy gradient search: Application to symbolic optimization.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Improving exploration in policy gradient search: Application to symbolic optimization
Reference 39
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T11:05:46.636286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5a8ec63b-6edf-4042-9fde-bd4638760545 · outbound
This paper cites Interactive reinforcement learning for symbolic regression from multi-format human-preference feedbacks.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Interactive reinforcement learning for symbolic regression from multi-format human-preference feedbacks
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.978581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation fdd34f60-4462-4617-b309-bf7b619801ca · outbound
This paper cites A Neural-Guided Dynamic Symbolic Network for Exploring Mathematical Expressions from Data.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience A Neural-Guided Dynamic Symbolic Network for Exploring Mathematical Expressions from Data
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.759287Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f07cba36-c36a-49e8-92f6-2075a6f5f6d4 · outbound
This paper cites Discover: Deep identification of symbolically concise open-form partial differential equations via enhanced reinforcement learning.Physical Review Research, 6(1):013182, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Discover: Deep identification of symbolically concise open-form partial differential equations via enhanced reinforcement learning.Physical Review Research, 6(1):013182, 2024
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.934637Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 243dead3-0ea8-486e-8154-df72d8f951ed · outbound
This paper cites Disco-dso: Coupling discrete and continuous optimization for efficient generative design in hybrid spaces.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Disco-dso: Coupling discrete and continuous optimization for efficient generative design in hybrid spaces
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.904098Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1cf2d43c-3d4e-40f2-8698-23afcd2448f4 · outbound
This paper cites SymbolicGPT: A Generative Transformer Model for Symbolic Regression.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience SymbolicGPT: A Generative Transformer Model for Symbolic Regression
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.783741Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2b09d215-6ced-4b61-b80e-276d56fd4201 · outbound
This paper cites Symformer: End-to-end symbolic regression using transformer-based architecture.IEEE Access, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Symformer: End-to-end symbolic regression using transformer-based architecture.IEEE Access, 2024
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.861239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 47d71405-f5a1-496e-87b2-24d267a49d1c · outbound
This paper cites Transformer-based model for symbolic regression via joint supervised learning.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Transformer-based model for symbolic regression via joint supervised learning
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.825297Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation aec96927-c832-44bc-b264-579088b74555 · outbound
This paper cites Symbolic regression via MDLformer-guided search: from minimizing prediction error to minimizing description length.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Symbolic regression via MDLformer-guided search: from minimizing prediction error to minimizing description length
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T11:05:45.821504Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30c084b6-0b73-4fd8-9e85-9fa349843182 · outbound
This paper cites Niert: Accurate numerical interpolation through unifying scattered data representations using transformer encoder.IEEE Transactions on Knowledge and Data Engineering, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Niert: Accurate numerical interpolation through unifying scattered data representations using transformer encoder.IEEE Transactions on Knowledge and Data Engineering, 2024
Reference 48
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.783435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation c9460f34-f357-426c-a6f3-09cf349b19dc · outbound
This paper cites Language model crossover: Variation through few-shot prompting.ACM Transactions on Evolutionary Learning, 4(4):1–40, 2024.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Language model crossover: Variation through few-shot prompting.ACM Transactions on Evolutionary Learning, 4(4):1–40, 2024
Reference 49
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.743558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 38b792e1-2359-46c5-96c9-bc8084ca69e7 · outbound
This paper cites output_format.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience output_format
Reference 50
- Resolution
- verified exact
- raw_fallback, observed 2026-08-07T11:05:46.403988Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation bdb3cc9e-7024-45ec-9d8c-759cbf33d950 · outbound
This paper cites an unresolved cited work.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Unresolved cited work
Reference 52
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:05:47.655683Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 047c9851-f7b2-4c25-a018-fd5315d2dc76 · outbound
This paper cites What lessons can you draw from it? STRICTLY follow these rules:.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience What lessons can you draw from it? STRICTLY follow these rules:
Reference 53
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.620193Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 2791cdbe-41fd-4f77-ad3d-aa437bc098a9 · outbound
This paper cites when seeking for the mathematical function skeleton that represents {dependent_name_in_prompt} in {problem_name_in_prompt}, I can.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience when seeking for the mathematical function skeleton that represents {dependent_name_in_prompt} in {problem_name_in_prompt}, I can
Reference 54
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.696375Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 381316d7-dc92-4767-af2b-39a780677def · outbound
This paper cites an unresolved cited work.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Unresolved cited work
Reference 56
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:05:47.536417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 3d922679-7e4c-4053-a64e-0b3edd05dd85 · outbound
This paper cites when seeking for the mathematical function skeleton that represents {dependent_name_in_prompt} in {problem_name_in_prompt}, I need.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience when seeking for the mathematical function skeleton that represents {dependent_name_in_prompt} in {problem_name_in_prompt}, I need
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:05:47.509784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 48ad1e51-4b54-4153-8c92-77d195c9434f · outbound
This paper cites an unresolved cited work.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Unresolved cited work
Reference 58
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:05:47.471094Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 38d613dc-98cc-4455-9ccc-ae5111acb682 · outbound
This paper cites an unresolved cited work.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience Unresolved cited work
Reference 59
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:05:47.577537Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 4d7eb78c-ff55-4900-8b2a-ec7e73bb98d5 · outbound
This paper cites output_format.
DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience output_format
Reference 60
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-07T11:05:47.434349Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
Observation 5dba4c1a-7735-4af5-bb28-6f0b308c57fa · inbound
NSR-Boost: A Neuro-Symbolic Residual Boosting Framework for Industrial Legacy Models cites this paper.
NSR-Boost: A Neuro-Symbolic Residual Boosting Framework for Industrial Legacy Models DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T10:21:13.287769Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3fcdc89-ed37-47fb-8703-691f8ff2e8ec · inbound
Identifying Topological Invariants of Non-Hermitian Systems via Domain-Adaptive Multimodal Model for Mathematics cites this paper.
Identifying Topological Invariants of Non-Hermitian Systems via Domain-Adaptive Multimodal Model for Mathematics DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 69
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T05:10:55.125242Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 1b1c00d3-ca6a-4739-907c-93fd27685bba · inbound
Identifying Topological Invariants of Non-Hermitian Systems via Domain-Adaptive Multimodal Model for Mathematics cites this paper.
Identifying Topological Invariants of Non-Hermitian Systems via Domain-Adaptive Multimodal Model for Mathematics DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 69
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T10:20:00.169949Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation e8b1c431-29c3-4b80-9d06-8bc58c6f5d7d · inbound
Back to the Beginning of Heuristic Design: Bridging Code and Knowledge with LLMs cites this paper.
Back to the Beginning of Heuristic Design: Bridging Code and Knowledge with LLMs DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 64
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T19:56:10.180844Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation adce14b0-e79c-4997-96f3-00b56704da0e · inbound
STRIDE: A Self-Reflective Agent Framework for Reliable Automatic Equation Discovery cites this paper.
STRIDE: A Self-Reflective Agent Framework for Reliable Automatic Equation Discovery DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T11:13:13.309890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 5c6f4078-37d8-4e18-a53a-dc0e6a1605b3 · inbound
LLM-driven design of physics-constrained constitutive models: two agents are better than one cites this paper.
LLM-driven design of physics-constrained constitutive models: two agents are better than one DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 100
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T04:55:23.947065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation eff855da-9b26-4499-af31-55d0516ff5ff · inbound
FunctionEvolve: Structure-Guided Symbolic Regression with LLMs cites this paper.
FunctionEvolve: Structure-Guided Symbolic Regression with LLMs DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 63
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T16:17:09.441143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 38eae80c-d0c2-4b65-9a25-b749f5cae2d5 · inbound
Library Reachability in LSR-Synth: How Anti-Memorization Design Changes the Measurement of Symbolic Discovery cites this paper.
Library Reachability in LSR-Synth: How Anti-Memorization Design Changes the Measurement of Symbolic Discovery DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T00:47:39.378862Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49af4e62-6035-4f68-9050-e97eb0ab6ad6 · inbound
Unified remnant models for aligned-spin, precessing, and eccentric binary black hole mergers cites this paper.
Unified remnant models for aligned-spin, precessing, and eccentric binary black hole mergers DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 99
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T00:42:39.481894Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 87620b2a-cf1a-47af-b059-edb00896f0c1 · inbound
Large language models for partial differential equation workflows cites this paper.
Large language models for partial differential equation workflows DrSR: LLM based Scientific Equation Discovery with Dual Reasoning from Data and Experience
Reference 50
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T16:18:49.131757Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.