FieldAI · 5 months ago
1.1 Mathematical Scientist: Stochastic Models and Risk Quantification
Mission Viejo, CA
Full-time
Onsite
Senior Level
$70K/yr - $200K/yrField AI is transforming how robots interact with the real world by building risk-aware, reliable AI systems. The role involves developing stochastic models and frameworks to enhance robotics capabilities and ensure safety and robustness in real-world applications.
Enterprise SoftwareRobotic Process Automation (RPA)Robotics
Responsibilities
Develop stochastic models for real-time risk quantification and uncertainty propagation in robotics foundation models
Apply Fokker-Planck (Kolmogorov forward) equations, Hamilton-Jacobi-Bellman PDEs, and stochastic optimal control to develop explainable and physics-grounded foundation models
Develop novel stochastic inference frameworks, leveraging score-based generative models, neural stochastic differential equations (SDEs) to enable uncertainty-aware perception, state estimation, and trajectory forecasting in robotic systems
Work on large deviations theory, stochastic stability, and rare-event simulation to model robot behavior under extreme environmental uncertainty
Build probabilistic programming and variational inference frameworks that enable robots to adapt dynamically to unseen conditions
Collaborate with our AI and engineering teams to transition mathematical insights into real-time robotics intelligence and operational decision-making
Publish novel research in stochastic control, risk-sensitive reinforcement learning, and uncertainty-aware AI, shaping the next era of explainable autonomy
Qualification
Required
Ph.D. in Mathematics, Applied Mathematics, Theoretical Physics, or a related field with a focus on stochastic processes, PDEs, or dynamical systems
Deep expertise in stochastic calculus, measure-theoretic probability, and functional analysis, with applications to uncertainty quantification and risk-aware control
Experience in Hamilton-Jacobi PDEs, path-integral control, and entropy-regularized control
Proficiency in high-performance computing & optimization for solving high-dimensional SDEs and PDEs at large scales (e.g., via spectral methods, GPU-based parallelized Monte Carlo, Galerkin method, etc.)
Strong programming skills in Python, C++, or Julia, with experience in numerical computing libraries such as PyTorch, JAX, or TensorFlow
Knowledge of Bayesian inference, information-theoretic approaches to decision-making, and probabilistic programming
Preferred
Experience integrating mathematical models into real-world robotics applications is a strong plus
Company
FieldAI
FieldAI is pioneering the development of a field-proven, hardware agnostic brain technology that enables many different types of robots to operate autonomously in hazardous, offroad, and potentially harsh industrial settings – all without GPS, maps, or any pre-programmed routes.
Founded in 2023
11-50 employees
H1B Sponsorship
FieldAI has a track record of offering H1B sponsorships. Please note that this does not
guarantee sponsorship for this specific role. Below presents additional info for your
reference. (Data Powered by US Department of Labor)
Distribution of Different Job Fields Receiving Sponsorship
Represents job field similar to this job
Trends of Total Sponsorships
2025 (9)
Funding
Current Stage
Early StageTotal Funding
$405M2025-08-20Series Unknown· $91M
2025-08-20Series A· $314M
Leadership Team
Ali Agha
Founder and CEO
Recent News
Crunchbase News
2025-12-19
2025-10-16
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