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  1. Article

    Global optimization of objective functions represented by ReLU networks

    Neural networks can learn complex, non-convex functions, and it is challenging to guarantee their correct behavior in safety-critical contexts. Many approaches exist to find failures in networks (e.g., adversa...

    Christopher A. Strong, Haoze Wu, Aleksandar Zeljić, Kyle D. Julian in Machine Learning (2023)

  2. No Access

    Article

    Portfolio construction as linearly constrained separable optimization

    Mean–variance portfolio optimization problems often involve separable nonconvex terms, including penalties on capital gains, integer share constraints, and minimum nonzero position and trade sizes. We propose ...

    Nicholas Moehle, Jack Gindi, Stephen Boyd in Optimization and Engineering (2023)

  3. Article

    Guest Editorial: Special issue on robust machine learning

    Ransalu Senanayake, Daniel J. Fremont, Mykel J. Kochenderfer in Machine Learning (2023)

  4. Article

    Generating probabilistic safety guarantees for neural network controllers

    Neural networks serve as effective controllers in a variety of complex settings due to their ability to represent expressive policies. The complex nature of neural networks, however, makes their output difficu...

    Sydney M. Katz, Kyle D. Julian, Christopher A. Strong in Machine Learning (2023)

  5. Article

    Open Access

    Personalizing exoskeleton assistance while walking in the real world

    Personalized exoskeleton assistance provides users with the largest improvements in walking speed1 and energy economy24 but requires lengthy tests under unnatural laboratory conditions. Here we show that exoskel...

    Patrick Slade, Mykel J. Kochenderfer, Scott L. Delp, Steven H. Collins in Nature (2022)

  6. No Access

    Article

    Reluplex: a calculus for reasoning about deep neural networks

    Deep neural networks have emerged as a widely used and effective means for tackling complex, real-world problems. However, a major obstacle in applying them to safety-critical systems is the great difficulty i...

    Guy Katz, Clark Barrett, David L. Dill, Kyle Julian in Formal Methods in System Design (2022)

  7. No Access

    Chapter and Conference Paper

    ZoPE: A Fast Optimizer for ReLU Networks with Low-Dimensional Inputs

    Deep neural networks often lack the safety and robustness guarantees needed to be deployed in safety critical systems. Formal verification techniques can be used to prove input-output safety properties of netw...

    Christopher A. Strong, Sydney M. Katz, Anthony L. Corso in NASA Formal Methods (2022)

  8. No Access

    Article

    Dynamic multi-robot task allocation under uncertainty and temporal constraints

    We consider the problem of dynamically allocating tasks to multiple agents under time window constraints and task completion uncertainty. Our objective is to minimize the number of unsuccessful tasks at the en...

    Shushman Choudhury, Jayesh K. Gupta, Mykel J. Kochenderfer in Autonomous Robots (2022)

  9. Article

    Open Access

    Explaining COVID-19 outbreaks with reactive SEIRD models

    COVID-19 epidemics have varied dramatically in nature across the United States, where some counties have clear peaks in infections, and others have had a multitude of unpredictable and non-distinct peaks. Our ...

    Kunal Menda, Lucas Laird, Mykel J. Kochenderfer, Rajmonda S. Caceres in Scientific Reports (2021)

  10. Article

    Open Access

    Sensing leg movement enhances wearable monitoring of energy expenditure

    Physical inactivity is the fourth leading cause of global mortality. Health organizations have requested a tool to objectively measure physical activity. Respirometry and doubly labeled water accurately estima...

    Patrick Slade, Mykel J. Kochenderfer, Scott L. Delp in Nature Communications (2021)

  11. No Access

    Article

    Tax-Aware Portfolio Construction via Convex Optimization

    We describe an optimization-based tax-aware portfolio construction method that adds tax liability to standard Markowitz-based portfolio construction. Our method produces a trade list that specifies the number ...

    Nicholas Moehle, Mykel J. Kochenderfer in Journal of Optimization Theory and Applica… (2021)

  12. No Access

    Chapter and Conference Paper

    Normalizing Flow Policies for Multi-agent Systems

    Stochastic policy gradient methods using neural representations have had considerable success in single-agent domains with continuous action spaces. These methods typically use networks that output the paramet...

    **aobai Ma, Jayesh K. Gupta, Mykel J. Kochenderfer in Decision and Game Theory for Security (2020)

  13. Article

    Open Access

    Rapid energy expenditure estimation for ankle assisted and inclined loaded walking

    Estimating energy expenditure with indirect calorimetry requires expensive equipment and several minutes of data collection for each condition of interest. While several methods estimate energy expenditure usi...

    Patrick Slade, Rachel Troutman in Journal of NeuroEngineering and Rehabilita… (2019)

  14. No Access

    Article

    Decomposition methods with deep corrections for reinforcement learning

    Decomposition methods have been proposed to approximate solutions to large sequential decision making problems. In contexts where an agent interacts with multiple entities, utility decomposition can be used to...

    Maxime Bouton, Kyle D. Julian, Alireza Nakhaei in Autonomous Agents and Multi-Agent Systems (2019)

  15. Chapter and Conference Paper

    The Marabou Framework for Verification and Analysis of Deep Neural Networks

    Deep neural networks are revolutionizing the way complex systems are designed. Consequently, there is a pressing need for tools and techniques for network analysis and certification. To help in addressing that...

    Guy Katz, Derek A. Huang, Duligur Ibeling, Kyle Julian in Computer Aided Verification (2019)

  16. No Access

    Chapter

    Adaptive Stress Testing of Safety-Critical Systems

    Stress testing in simulation plays a critical role in the validation of safety-critical systems, including aircraft, cars, medical devices, and spacecraft. The analysis of failure events is important in unders...

    Ritchie Lee, Ole J. Mengshoel in Safe, Autonomous and Intelligent Vehicles (2019)

  17. Chapter and Conference Paper

    Robust Super-Level Set Estimation Using Gaussian Processes

    This paper focuses on the problem of determining as large a region as possible where a function exceeds a given threshold with high probability. We assume that we only have access to a noise-corrupted version ...

    Andrea Zanette, Junzi Zhang in Machine Learning and Knowledge Discovery i… (2019)

  18. Chapter and Conference Paper

    Reluplex: An Efficient SMT Solver for Verifying Deep Neural Networks

    Deep neural networks have emerged as a widely used and effective means for tackling complex, real-world problems. However, a major obstacle in applying them to safety-critical systems is the great difficulty i...

    Guy Katz, Clark Barrett, David L. Dill, Kyle Julian in Computer Aided Verification (2017)

  19. No Access

    Chapter and Conference Paper

    Collision Avoidance Using Partially Controlled Markov Decision Processes

    Optimal collision avoidance in stochastic environments requires accounting for the likelihood and costs of future sequences of outcomes in response to different sequences of actions. Prior work has investigate...

    Mykel J. Kochenderfer, James P. Chryssanthacopoulos in Agents and Artificial Intelligence (2013)

  20. No Access

    Article

    Aircraft Collision Avoidance Using Monte Carlo Real-Time Belief Space Search

    The aircraft collision avoidance problem can be formulated using a decision-theoretic planning framework where the optimal behavior requires balancing the competing objectives of avoiding collision and adherin...

    Travis B. Wolf, Mykel J. Kochenderfer in Journal of Intelligent & Robotic Systems (2011)

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