CONTROL2026-04-15

Singularity Avoidance in Inverse Kinematics: A Unified Treatment of Classical and Learning-based Methods

Vishnu Rudrasamudram, Hariharasudan Malaichamee

This paper addresses a fundamental robotics problem: how to compute Movement, Mechanics & Robot BodyJointA movable connection between robot parts. angles for a Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm to reach desired positions without running into mathematical singularities that cause the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. to lose Control & PlanningControlThe method used to make the robot move the way you want.. The key insight for developers is that combining classical mathematical methods with modern Robot LearningMachine learningTraining models from data rather than programming every behavior manually. significantly improves Safety & DeploymentReliabilityHow consistently the system works over time.. The paper shows that pure neural networks fail at this Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. (0% success), but hybrid approaches that use neural networks as a starting point and refine with classical methods work well (59-100% success). If you're building Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm Control & PlanningControlThe method used to make the robot move the way you want. software, this helps you understand why you shouldn't rely solely on learned Movement, Mechanics & Robot BodyInverse kinematics (IK)Calculating the joint values needed to reach a desired pose. solvers and how to properly combine learning with classical techniques.

THE PROBLEM

This paper focuses on Control & PlanningControlThe method used to make the robot move the way you want.. This paper addresses a fundamental robotics problem: how to compute Movement, Mechanics & Robot BodyJointA movable connection between robot parts. angles for a Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm to reach desired positions without running into mathematical singularities that cause the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. to lose Control & PlanningControlThe method used to make the robot move the way you want.. The key insight for developers is that combining classical mathematical methods with modern Robot LearningMachine learningTraining models from data rather than programming every behavior manually. significantly improves Safety & DeploymentReliabilityHow consistently the system works over time.. The paper shows that pure neural networks fail at this Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. (0% success), but hybrid approaches that use neural networks as a starting point and refine with classical methods work well (59-100% success). If you're building Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm Control & PlanningControlThe method used to make the robot move the way you want. software, this helps you understand why you shouldn't rely solely on learned Movement, Mechanics & Robot BodyInverse kinematics (IK)Calculating the joint values needed to reach a desired pose. solvers and how to properly combine learning with classical techniques. Read the paper by tracking the Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. definition, the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. or data assumptions, and the evidence that supports the claimed improvement.

HOW IT WORKS

1

Task framing

The paper frames the work as Control & PlanningControlThe method used to make the robot move the way you want.. Start here because it defines what success means and which assumptions the rest of the method inherits.

2

Core method

This paper addresses a fundamental robotics problem: how to compute Movement, Mechanics & Robot BodyJointA movable connection between robot parts. angles for a Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm to reach desired positions without running into mathematical singularities that cause the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. to lose Control & PlanningControlThe method used to make the robot move the way you want.. The key insight for developers is that combining classical mathematical methods with modern Robot LearningMachine learningTraining models from data rather than programming every behavior manually. significantly improves Safety & DeploymentReliabilityHow consistently the system works over time.. The paper shows that pure neural networks fail at this Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. (0% success), but hybrid approaches that use neural networks as a starting point and refine with classical methods work well (59-100% success). If you're building Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm Control & PlanningControlThe method used to make the robot move the way you want. software, this helps you understand why you shouldn't rely solely on learned Movement, Mechanics & Robot BodyInverse kinematics (IK)Calculating the joint values needed to reach a desired pose. solvers and how to properly combine learning with classical techniques. When reading the method section, identify the inputs, the learned or engineered representation, and the Core ConceptsActionA command the robot sends to its motors, controller, or low-level system. or prediction produced by the system.

3

Data and supervision

For robotics work, the data story is part of the method: check whether the system depends on Imitation & Reinforcement LearningTeleoperation (teleop)A human remotely controlling the robot, often to collect demonstrations., Simulation & Sim-to-RealSimulationA virtual environment where robots can be trained or tested., internet video, human labels, or Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. rollouts.

4

Evaluation evidence

The paper should be judged through its Simulation & Sim-to-RealEvaluationMeasuring how well a robot system performs. protocol: what data is used, what Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. or simulator is tested, and which Evaluation & ResearchBaselineA reference method used for comparison. comparisons support the claim. Look for the gap between the headline result and the Simulation & Sim-to-RealDeploymentPutting the trained system on a real robot. setting you would actually care about.

FIGURES

KEY RESULTS

Main contributionConceptual contribution

This paper addresses a fundamental robotics problem: how to compute Movement, Mechanics & Robot BodyJointA movable connection between robot parts. angles for a Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm to reach desired positions without running into mathematical singularities that cause the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. to lose Control & PlanningControlThe method used to make the robot move the way you want.. The key insight for developers is that combining classical mathematical methods with modern Robot LearningMachine learningTraining models from data rather than programming every behavior manually. significantly improves Safety & DeploymentReliabilityHow consistently the system works over time.. The paper shows that pure neural networks fail at this Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. (0% success), but hybrid approaches that use neural networks as a starting point and refine with classical methods work well (59-100% success). If you're building Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm Control & PlanningControlThe method used to make the robot move the way you want. software, this helps you understand why you shouldn't rely solely on learned Movement, Mechanics & Robot BodyInverse kinematics (IK)Calculating the joint values needed to reach a desired pose. solvers and how to properly combine learning with classical techniques.

WHY DEVELOPERS SHOULD CARE

This paper addresses a fundamental robotics problem: how to compute Movement, Mechanics & Robot BodyJointA movable connection between robot parts. angles for a Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm to reach desired positions without running into mathematical singularities that cause the Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. to lose Control & PlanningControlThe method used to make the robot move the way you want.. The key insight for developers is that combining classical mathematical methods with modern Robot LearningMachine learningTraining models from data rather than programming every behavior manually. significantly improves Safety & DeploymentReliabilityHow consistently the system works over time.. The paper shows that pure neural networks fail at this Core ConceptsTaskThe job the robot is supposed to complete, such as pick-and-place, navigation, or drawer opening. (0% success), but hybrid approaches that use neural networks as a starting point and refine with classical methods work well (59-100% success). If you're building Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. arm Control & PlanningControlThe method used to make the robot move the way you want. software, this helps you understand why you shouldn't rely solely on learned Movement, Mechanics & Robot BodyInverse kinematics (IK)Calculating the joint values needed to reach a desired pose. solvers and how to properly combine learning with classical techniques.

LIMITATIONS

The main limitation to check is whether the claimed behavior holds outside the paper's reported setup. That means testing across different Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. embodiments, scenes, objects, and data distributions.

WHAT COMES NEXT

The practical next step is independent reproduction with clear baselines, ablations, and stress tests. For a developer, the useful follow-up is to map the paper's Control & PlanningControlThe method used to make the robot move the way you want. assumptions onto a concrete Core ConceptsRobotA physical system with sensors and actuators that can observe the world and take actions. stack, then test the smallest version of the method that could run end to end.

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