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In this paper, a distributed optimization problem with general differentiable convex objective functions is studied for single-integrator and double-integrator multi-agent systems. Two distributed adaptive optimization algorithm is…

Optimization and Control · Mathematics 2017-03-28 Peng Lin , Wei Ren

The application of operator overloading algorithmic differentiation (AD) to computer programs in order to compute the derivative is quite common. But, the replacement of the underlying computational floating point type with the specialized…

Mathematical Software · Computer Science 2026-02-18 Max Sagebaum , Nicolas R. Gauger

Differential equations in general and neural ODEs in particular are an essential technique in continuous-time system identification. While many deterministic learning algorithms have been designed based on numerical integration via the…

Machine Learning · Computer Science 2021-10-18 Lenart Treven , Philippe Wenk , Florian Dörfler , Andreas Krause

When designing systems that are complex, dynamic and stochastic in nature, simulation is generally recognised as one of the best design support technologies, and a valuable aid in the strategic and tactical decision making process. A…

Neural and Evolutionary Computing · Computer Science 2013-05-30 Peer-Olaf Siebers , Uwe Aickelin

Online synaptic plasticity rules derived from gradient descent achieve high accuracy on a wide range of practical tasks. However, their software implementation often requires tediously hand-derived gradients or using gradient…

Neural and Evolutionary Computing · Computer Science 2025-01-22 Jamie Lohoff , Anil Kaya , Florian Assmuth , Emre Neftci

Tools for algorithmic differentiation (AD) provide accurate derivatives of computer-implemented functions for use in, e. g., optimization and machine learning (ML). However, they often require the source code of the function to be available…

Mathematical Software · Computer Science 2022-12-29 Max Aehle , Johannes Blühdorn , Max Sagebaum , Nicolas R. Gauger

Different activation functions work best for different deep learning models. To exploit this, we leverage recent advancements in gradient-based search techniques for neural architectures to efficiently identify high-performing activation…

Machine Learning · Computer Science 2024-08-14 Lukas Strack , Mahmoud Safari , Frank Hutter

Interpreting the decision-making process of deep convolutional neural networks remains a central challenge in achieving trustworthy and transparent artificial intelligence. Explainable AI (XAI) techniques, particularly Class Activation Map…

Computer Vision and Pattern Recognition · Computer Science 2026-03-06 Hajar Dekdegue , Moncef Garouani , Josiane Mothe , Jordan Bernigaud

Differentiable programming allows for derivatives of functions implemented via computer code to be calculated automatically. These derivatives are calculated using automatic differentiation (AD). This thesis explores two applications of…

Plasma Physics · Physics 2024-10-16 Nick McGreivy

Autonomous systems often operate in environments where the behavior of multiple agents is coordinated by a shared global state. Reliable estimation of the global state is thus critical for successfully operating in a multi-agent setting. We…

Robotics · Computer Science 2021-08-03 Shane Parr , Ishan Khatri , Justin Svegliato , Shlomo Zilberstein

Behavior prediction remains one of the most challenging tasks in the autonomous vehicle (AV) software stack. Forecasting the future trajectories of nearby agents plays a critical role in ensuring road safety, as it equips AVs with the…

Artificial Intelligence · Computer Science 2021-11-16 Francis Indaheng , Edward Kim , Kesav Viswanadha , Jay Shenoy , Jinkyu Kim , Daniel J. Fremont , Sanjit A. Seshia

Generating safety-critical scenarios in high-fidelity simulations offers a promising and cost-effective approach for efficient testing of autonomous vehicles. Existing methods typically rely on manipulating a single vehicle's trajectory…

Machine Learning · Computer Science 2025-05-07 Jiawei Wang , Xintao Yan , Yao Mu , Haowei Sun , Zhong Cao , Henry X. Liu

Agent-based models (ABMs) are proliferating as decision-making tools across policy areas in transportation, economics, and epidemiology. In these models, a central object of interest is the discrete origin-destination matrix which captures…

Machine Learning · Computer Science 2025-05-12 Ioannis Zachos , Mark Girolami , Theodoros Damoulas

We present a GPU-based system for automatic differentiation (AD) of functions defined on triangle meshes, designed to exploit the locality and sparsity in mesh-based computation. Our system evaluates derivatives using per-element…

Graphics · Computer Science 2026-02-03 Ahmed H. Mahmoud , Rahul Goel , Jonathan Ragan-Kelley , Justin Solomon

Iterative optimization algorithms depend on access to information about the objective function. In a differentiable programming framework, this information, such as gradients, can be automatically derived from the computational graph. We…

Optimization and Control · Mathematics 2025-07-08 Vincent Roulet , Siddhartha Srinivasa , Maryam Fazel , Zaid Harchaoui

In recent years, fully differentiable rigid body physics simulators have been developed, which can be used to simulate a wide range of robotic systems. In the context of reinforcement learning for control, these simulators theoretically…

Machine Learning · Computer Science 2022-03-08 Sean Gillen , Katie Byl

A wider selection of step sizes is explored for the distributed subgradient algorithm for multi-agent optimization problems, for both time-invariant and time-varying communication topologies. The square summable requirement of the step…

Optimization and Control · Mathematics 2016-02-02 Peng Wang , Wei Ren

Inspired by dynamic programming, we propose Stochastic Virtual Gradient Descent (SVGD) algorithm where the Virtual Gradient is defined by computational graph and automatic differentiation. The method is computationally efficient and has…

Machine Learning · Computer Science 2019-08-01 Zheng Li , Shi Shu

In practice, machine learning methods commonly require anomaly detection (AD) to filter inputs or detect distributional shifts. Typically, this is implemented by running a separate AD model alongside the primary model. However, this…

Machine Learning · Computer Science 2026-03-19 Luca Hinkamp , Simon Klüttermann , Emmanuel Müller

Adaptive gradient-based optimizers such as Adagrad and Adam are crucial for achieving state-of-the-art performance in machine translation and language modeling. However, these methods maintain second-order statistics for each parameter,…

Machine Learning · Computer Science 2019-09-13 Rohan Anil , Vineet Gupta , Tomer Koren , Yoram Singer