Familiarity with optimization theory and applications to inverse problems. Application Instructions Interested applicants should upload their CV, cover letter and three letters of reference to: apply ...
Familiarity with optimization theory and applications to inverse problems. Application Instructions Interested applicants should upload their CV, cover letter and three letters of reference to: apply ...
Postdoc Fellow - Imaging Physics
Houston, TX · On-site
$46K - $63K/yr
... inverse problems, and uncertainty quantification. The fellow will have opportunities to contribute to ongoing research projects and will be encouraged to explore and develop new areas of research ...
Postdoc Fellow - Imaging Physics
Houston, TX · On-site
$46K - $63K/yr
... inverse problems, and uncertainty quantification. The fellow will have opportunities to contribute to ongoing research projects and will be encouraged to explore and develop new areas of research ...
Postdoc Fellow - Imaging Physics
$46K - $63K/yr
... inverse problems, and uncertainty quantification. The fellow will have opportunities to contribute to ongoing research projects and will be encouraged to explore and develop new areas of research ...
Postdoc Fellow - Imaging Physics
$46K - $63K/yr
... inverse problems, and uncertainty quantification. The fellow will have opportunities to contribute to ongoing research projects and will be encouraged to explore and develop new areas of research ...
Understanding of physics research workflows, including HPC simulations, numerical solvers, experimental/sensor data, large-scale instruments, inverse problems, and GPU-accelerated scientific ...
Understanding of physics research workflows, including HPC simulations, numerical solvers, experimental/sensor data, large-scale instruments, inverse problems, and GPU-accelerated scientific ...
Statistical analysis, parameter estimation and inverse problems, Kalman filtering, or maximum likelihood estimation using Fisher information * Linear systems and optimization methods * Prior ...
Statistical analysis, parameter estimation and inverse problems, Kalman filtering, or maximum likelihood estimation using Fisher information * Linear systems and optimization methods * Prior ...
Familiarity with optimization theory and applications to inverse problems. Application Instructions Interested applicants should upload their CV, cover letter and three letters of reference to: apply ...
Familiarity with optimization theory and applications to inverse problems. Application Instructions Interested applicants should upload their CV, cover letter and three letters of reference to: apply ...
Postdoctoral Appointee - AI for Synchrotron Imaging
Lemont, IL · On-site
$72K - $121K/yr
Background in inverse problems or physics-informed machine learning. * Exposure to scientific imaging applications (for example, biological, environmental, or materials science). Job Family ...
Postdoctoral Appointee - AI for Synchrotron Imaging
Lemont, IL · On-site
$72K - $121K/yr
Background in inverse problems or physics-informed machine learning. * Exposure to scientific imaging applications (for example, biological, environmental, or materials science). Job Family ...
Experience with advanced signal/image processing techniques (e.g., detection, tracking, estimation, inverse problems, or computer vision) * Familiarity with machine learning frameworks and ...
Quick apply
Experience with advanced signal/image processing techniques (e.g., detection, tracking, estimation, inverse problems, or computer vision) * Familiarity with machine learning frameworks and ...
Assistant Professor
Locke, NY · On-site
Optimization, statistical learning theory, inverse problems, uncertainty quantification, dynamical systems, or computational mathematics relevant to AI. AI and Data-Driven Modeling in Biomedicine:
Assistant Professor
Locke, NY · On-site
Optimization, statistical learning theory, inverse problems, uncertainty quantification, dynamical systems, or computational mathematics relevant to AI. AI and Data-Driven Modeling in Biomedicine:
Understanding of physics research workflows, including HPC simulations, numerical solvers, experimental/sensor data, large-scale instruments, inverse problems, and GPU-accelerated scientific ...
Understanding of physics research workflows, including HPC simulations, numerical solvers, experimental/sensor data, large-scale instruments, inverse problems, and GPU-accelerated scientific ...
Senior Numerical Algorithm Software Engineer with Security Clearance
Boulder, CO · On-site +1
$128K - $170K/yr
Experience with advanced signal/image processing techniques (e.g., detection, tracking, estimation, inverse problems, or computer vision) * Familiarity with machine learning frameworks and ...
Senior Numerical Algorithm Software Engineer with Security Clearance
Boulder, CO · On-site +1
$128K - $170K/yr
Experience with advanced signal/image processing techniques (e.g., detection, tracking, estimation, inverse problems, or computer vision) * Familiarity with machine learning frameworks and ...
Head of Bio AI - Radial
Emeryville, CA · On-site
$400K - $600K/yr
Direct experience formulating and solving inverse problems, including familiarity with ill-posedness, regularization strategies, and the trade-offs between learned and model-based reconstruction ...
Head of Bio AI - Radial
Emeryville, CA · On-site
$400K - $600K/yr
Direct experience formulating and solving inverse problems, including familiarity with ill-posedness, regularization strategies, and the trade-offs between learned and model-based reconstruction ...
Senior Numerical Algorithm Software Engineer
Boulder, CO · On-site +1
$127K - $167K/yr
Experience with advanced signal/image processing techniques (e.g., detection, tracking, estimation, inverse problems, or computer vision) * Familiarity with machine learning frameworks and ...
Senior Numerical Algorithm Software Engineer
Boulder, CO · On-site +1
$127K - $167K/yr
Experience with advanced signal/image processing techniques (e.g., detection, tracking, estimation, inverse problems, or computer vision) * Familiarity with machine learning frameworks and ...
AI/ML techniques for solving inverse problems; experimental analysis and/or co-design using state-of-the-art AI/ML techniques, including digital twin development; design of reduced-order and/or ...
AI/ML techniques for solving inverse problems; experimental analysis and/or co-design using state-of-the-art AI/ML techniques, including digital twin development; design of reduced-order and/or ...
Experience with solving "inverse problems" in imaging emphasizing modeling and algorithm development * 2+ years of experience with Machine Learning for solving computer vision and computer graphics ...
Experience with solving "inverse problems" in imaging emphasizing modeling and algorithm development * 2+ years of experience with Machine Learning for solving computer vision and computer graphics ...
Advance generative and probabilistic models for signals, including simulation, synthesis, forecasting, anomaly detection, and inverse problems * Maintain a team culture of scientific/technical ...
Advance generative and probabilistic models for signals, including simulation, synthesis, forecasting, anomaly detection, and inverse problems * Maintain a team culture of scientific/technical ...
Advance generative and probabilistic models for signals, including simulation, synthesis, forecasting, anomaly detection, and inverse problems * Maintain a team culture of scientific/technical ...
Quick apply
Advance generative and probabilistic models for signals, including simulation, synthesis, forecasting, anomaly detection, and inverse problems * Maintain a team culture of scientific/technical ...
Advance generative and probabilistic models for signals, including simulation, synthesis, forecasting, anomaly detection, and inverse problems * Maintain a team culture of scientific/technical ...
Advance generative and probabilistic models for signals, including simulation, synthesis, forecasting, anomaly detection, and inverse problems * Maintain a team culture of scientific/technical ...
Statistical analysis, parameter estimation and inverse problems, Kalman filtering, or maximum likelihood estimation using Fisher information * Optimal control, numerical optimization, and trajectory ...
Statistical analysis, parameter estimation and inverse problems, Kalman filtering, or maximum likelihood estimation using Fisher information * Optimal control, numerical optimization, and trajectory ...
AI/ML techniques for solving inverse problems; experimental analysis and/or co-design using state-of-the-art AI/ML techniques, including digital twin development; design of reduced-order and/or ...
AI/ML techniques for solving inverse problems; experimental analysis and/or co-design using state-of-the-art AI/ML techniques, including digital twin development; design of reduced-order and/or ...
Inverse Problems information
See salary details
$30.29 - $30.75
3% of jobs
$30.75 - $31.21
7% of jobs
$31.21 - $31.67
11% of jobs
$31.84 is the 25th percentile. Wages below this are outliers.
$31.67 - $32.12
11% of jobs
$32.12 - $32.58
11% of jobs
$32.58 - $33.04
5% of jobs
The median wage is $33.16 / hr.
$33.04 - $33.50
11% of jobs
$33.50 - $33.96
11% of jobs
$34.25 is the 75th percentile. Wages above this are outliers.
$33.96 - $34.42
11% of jobs
$34.42 - $34.88
11% of jobs
$34.88 - $35.34
11% of jobs
$30
$33
$35
How much do inverse problems jobs pay per hour?
As of Jun 6, 2026, the average hourly pay for inverse problems in the United States is $33.17, according to ZipRecruiter salary data. Most workers in this role earn between $31.97 and $34.38 per hour, depending on experience, location, and employer.
What are the key skills and qualifications needed to thrive as an Inverse Problems Specialist, and why are they important?
To thrive as an Inverse Problems Specialist, you need a strong background in mathematics, particularly in differential equations, numerical analysis, and statistical inference, usually supported by an advanced degree in applied mathematics, physics, or engineering. Familiarity with programming languages such as MATLAB, Python, or R, and experience using computational modeling and optimization tools, are typically required. Strong analytical thinking, problem-solving abilities, and effective communication skills help in conveying complex concepts and collaborating with interdisciplinary teams. These skills and qualities are essential for developing accurate solutions to complex real-world problems where direct measurement is challenging.
What are some common challenges faced by professionals working in inverse problems, and how can they address them?
Professionals specializing in inverse problems often encounter challenges such as dealing with incomplete or noisy data, model uncertainty, and the inherent ill-posedness of many problems. To address these, practitioners typically employ regularization techniques, collaborate closely with domain experts to refine models, and utilize advanced computational methods for stability and efficiency. Frequent collaboration with interdisciplinary teams is essential, as solutions often require integrating mathematical theory with practical applications in fields like medical imaging, geophysics, or engineering.
What is the difference between Inverse Problems vs Data Analysts?
| Aspect | Inverse Problems | Data Analysts |
|---|---|---|
| Required credentials | Mathematics, applied physics, engineering degrees | Statistics, data science, computer science degrees |
| Work environment | Research labs, engineering firms, academia | Business, finance, healthcare sectors |
| Employer usage | Solving complex scientific and engineering problems | Interpreting data to inform business decisions |
| Common search intent | Understanding problem-solving techniques in scientific contexts | Analyzing data trends and insights |
Inverse Problems and Data Analysts both work with data and complex calculations, but their focus differs. Inverse Problems primarily involve solving scientific or engineering problems through mathematical modeling, while Data Analysts interpret data to support business decisions. Understanding these differences helps clarify career paths and job expectations in related fields.
What are inverse problems in the context of mathematics and engineering?
Inverse problems are a class of problems where the goal is to determine the underlying causes or parameters that produce observed data or outcomes. Unlike direct problems, which involve predicting results from known causes, inverse problems work backwards from effects to infer the inputs, models, or structures responsible. They are common in fields such as medical imaging, geophysics, and signal processing, where the internal properties of an object or system are deduced from external measurements. Solving inverse problems often requires sophisticated mathematical and computational techniques due to their complexity and potential for multiple solutions.
Full-time
Posted 9 days ago
Yale University rating
8.7
Based on 63 frontline employees who took The Breakroom Quiz
39th of 532 rated colleges and universities
Job description
Description
The Department of Radiology and Biomedical Imaging at the Yale School of Medicine invites applications for an Assistant Professor position in positron emission tomography (PET) imaging. Appointments are available on both the traditional and investigator tracks, and rank is dependent on the successful candidate's qualifications. Successful candidates will be expected to teach undergraduate and graduate courses in related areas, develop an independent research program in collaboration with an interdisciplinary team of faculty, and secure external research funding.
Responsibilities may include the development, characterization and validation of novel imaging biomarkers with PET, pharmacokinetic modeling of novel radiopharmaceuticals, development of advanced image reconstruction algorithms for quantitative PET and PET/MR imaging and the development of deep learning methods to improve quantitative PET imaging.
Yale School of Medicine educates and nurtures creative leaders in medicine and science, promoting curiosity and critical inquiry. We advance discovery and innovation fostered by partnerships across the university, our local community, and the world. We care for patients with compassion, and commit to improving the health of all people.
The Yale University PET Center located on Howard Avenue in New Haven, CT is a 22,000 sq. ft. facility established to advance the interests of Yale clinicians, scientists, and students in molecular imaging research. The Yale University PET Center is comprised of a technologically advanced radiochemistry laboratory engaged in the development and use of a rich set of PET radiopharmaceuticals labeled with the most common PET isotopes (11C, 15O, 13N, and 18F); and an imaging and data analysis section that oversees scanning procedures and optimizes data acquisition and analysis.
The Yale University PET Center collaborates with other School of Medicine departments to provide educational opportunities for doctoral and postdoctoral trainees. Collaborations with industry partners serve to advance the use of molecular imaging in new medication discovery and the development of new PET radiopharmaceuticals. Current research interests focus on disorders of the central nervous system (CNS), oncology, cardiology, and diabetes.
Qualifications
Successful candidates should have a Ph.D. or MD/PhD in biomedical engineering, physics, electrical and computer engineering, computer science, applied mathematics or related fields. They should have experience and a track record of publications in two of the following areas:
Besides a strong background in the listed areas, candidates should demonstrate the following technical skills:
Besides the requirements listed above, additional desired qualifications include:
Application Instructions
Interested applicants should upload their CV, cover letter and three letters of reference to: apply.interfolio.com/185695. Review of applications will begin immediately and continue until the position is filled.
The Department of Radiology and Biomedical Imaging at the Yale School of Medicine invites applications for an Assistant Professor position in positron emission tomography (PET) imaging. Appointments are available on both the traditional and investigator tracks, and rank is dependent on the successful candidate's qualifications. Successful candidates will be expected to teach undergraduate and graduate courses in related areas, develop an independent research program in collaboration with an interdisciplinary team of faculty, and secure external research funding.
Responsibilities may include the development, characterization and validation of novel imaging biomarkers with PET, pharmacokinetic modeling of novel radiopharmaceuticals, development of advanced image reconstruction algorithms for quantitative PET and PET/MR imaging and the development of deep learning methods to improve quantitative PET imaging.
Yale School of Medicine educates and nurtures creative leaders in medicine and science, promoting curiosity and critical inquiry. We advance discovery and innovation fostered by partnerships across the university, our local community, and the world. We care for patients with compassion, and commit to improving the health of all people.
The Yale University PET Center located on Howard Avenue in New Haven, CT is a 22,000 sq. ft. facility established to advance the interests of Yale clinicians, scientists, and students in molecular imaging research. The Yale University PET Center is comprised of a technologically advanced radiochemistry laboratory engaged in the development and use of a rich set of PET radiopharmaceuticals labeled with the most common PET isotopes (11C, 15O, 13N, and 18F); and an imaging and data analysis section that oversees scanning procedures and optimizes data acquisition and analysis.
The Yale University PET Center collaborates with other School of Medicine departments to provide educational opportunities for doctoral and postdoctoral trainees. Collaborations with industry partners serve to advance the use of molecular imaging in new medication discovery and the development of new PET radiopharmaceuticals. Current research interests focus on disorders of the central nervous system (CNS), oncology, cardiology, and diabetes.
Qualifications
Successful candidates should have a Ph.D. or MD/PhD in biomedical engineering, physics, electrical and computer engineering, computer science, applied mathematics or related fields. They should have experience and a track record of publications in two of the following areas:
- PET imaging physics, modeling of PET data and corresponding physical corrections.
- Tomographic image reconstruction including conventional reconstruction algorithms and penalized image reconstruction techniques.
- Radiotracer development, acquisition of experimental data including arterial blood and plasma as well as radiometabolite analysis using HPLC techniques, pharmacokinetic modeling including blood-based and reference region-based models, and use of numerical solvers for model fitting.
- Deep learning tools and methods for image denoising, reconstruction, segmentation and classification.
Besides a strong background in the listed areas, candidates should demonstrate the following technical skills:
- Experience with computer science and data science, image processing and analysis.
- Proficiency with programming languages such as C/C , Python, MATLAB, R, Linux scripting (e.g. bash).
- Strong verbal and written communication skills demonstrated by publication track record and experience with grant writing.
- Mentoring skills for undergraduate and graduate students, interns and visitors.
Besides the requirements listed above, additional desired qualifications include:
- Experience with MR imaging and MR image reconstruction and analysis.
- Experience with brain imaging and knowledge of biomarkers in Alzheimer's and other neurodegenerative diseases.
- Familiarity with optimization theory and applications to inverse problems.
Application Instructions
Interested applicants should upload their CV, cover letter and three letters of reference to: apply.interfolio.com/185695. Review of applications will begin immediately and continue until the position is filled.
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About Yale University
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Company size
10,000+ Employees
Headquarters location
New Haven, CT, US
Year founded
1701