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We introduce two block coordinate descent algorithms for solving optimization problems with ordinary differential equations (ODEs) as dynamical constraints. The algorithms do not need to implement direct or adjoint sensitivity analysis…

Machine Learning · Computer Science 2022-08-30 Ion Matei , Maksym Zhenirovskyy , Johan de Kleer , John Maxwell

Limitations in processing capabilities and memory of today's computers make spiking neuron-based (human) whole-brain simulations inevitably characterized by a compromise between bio-plausibility and computational cost. It translates into…

Neurons and Cognition · Quantitative Biology 2020-07-17 Gianluca Susi , Pilar Garces , Alessandro Cristini , Emanuele Paracone , Mario Salerno , Fernando Maestu , Ernesto Pereda

Neuroscientists fit morphologically and biophysically detailed neuron simulations to physiological data, often using evolutionary algorithms. However, such gradient-free approaches are computationally expensive, making convergence slow when…

Neurons and Cognition · Quantitative Biology 2024-07-23 Ilenna Simone Jones , Konrad Paul Kording

Spiking neural networks (SNNs) are brain-inspired models that enable energy-efficient implementation on neuromorphic hardware. However, the supervised training of SNNs remains a hard problem due to the discontinuity of the spiking neuron…

Neural and Evolutionary Computing · Computer Science 2021-12-20 Mingqing Xiao , Qingyan Meng , Zongpeng Zhang , Yisen Wang , Zhouchen Lin

As Deep Reinforcement Learning (Deep RL) research moves towards solving large-scale worlds, efficient environment simulations become crucial for rapid experimentation. However, most existing environments struggle to scale to high…

Machine Learning · Computer Science 2024-07-30 Eduardo Pignatelli , Jarek Liesen , Robert Tjarko Lange , Chris Lu , Pablo Samuel Castro , Laura Toni

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

Engineering structures are increasingly designed using numerical optimisation. However, traditional optimisation methods can be challenging with multiple objectives and many parameters. In machine learning, stable training of artificial…

Computational Engineering, Finance, and Science · Computer Science 2026-04-24 James Hipperson , Jonathan Hargreaves , Trevor Cox

First-order optimization (FOO) algorithms are pivotal in numerous computational domains such as machine learning and signal denoising. However, their application to complex tasks like neural network training often entails significant…

Machine Learning · Computer Science 2024-10-30 Yao Shu , Jiongfeng Fang , Ying Tiffany He , Fei Richard Yu

Mixed-precision training has emerged as an indispensable tool for enhancing the efficiency of neural network training in recent years. Concurrently, JAX has grown in popularity as a versatile machine learning toolbox. However, it currently…

Machine Learning · Computer Science 2025-10-28 Alexander Gräfe , Sebastian Trimpe

Differentiable simulators are an emerging concept with applications in several fields, from reinforcement learning to optimal control. Their distinguishing feature is the ability to calculate analytic gradients with respect to the input…

Machine Learning · Computer Science 2021-11-10 Antonio Stanziola , Simon R. Arridge , Ben T. Cox , Bradley E. Treeby

Complex network data is prevalent in various real-world domains, including physical, technological, and biological systems. Despite this prevalence, predicting trends and understanding behavioral patterns in complex systems remain…

Symbolic Computation · Computer Science 2026-01-22 Zezheng Song , Chunmei Wang , Haizhao Yang

Event-based cameras feature high temporal resolution, wide dynamic range, and low power consumption, which is ideal for high-speed and low-light object detection. Spiking neural networks (SNNs) are promising for event-based object…

Computer Vision and Pattern Recognition · Computer Science 2025-01-22 Ruixin Mao , Aoyu Shen , Lin Tang , Jun Zhou

Recent research in the field of spiking neural networks (SNNs) has shown that recurrent variants of SNNs, namely long short-term SNNs (LSNNs), can be trained via error gradients just as effective as LSTMs. The underlying learning method…

Neural and Evolutionary Computing · Computer Science 2020-06-18 Manuel Traub , Martin V. Butz , R. Harald Baayen , Sebastian Otte

The neural Ordinary Differential Equation (ODE) model has shown success in learning complex continuous-time processes from observations on discrete time stamps. In this work, we consider the modeling and forecasting of time series data that…

Machine Learning · Statistics 2023-06-05 Yixuan Tan , Liyan Xie , Xiuyuan Cheng

Understanding shock-solid interactions remains a central challenge in compressiblefluiddynamics. WepresentJAX-Shock: afully-differentiable,GPU-accelerated, high-order shock-capturing solver for efficient simulation of the compressible…

Fluid Dynamics · Physics 2026-01-09 Bo Zhang

The development of deep learning software libraries enabled significant progress in the field by allowing users to focus on modeling, while letting the library to take care of the tedious and time-consuming task of optimizing execution for…

Machine Learning · Computer Science 2023-10-17 Miloš Stanojević , Laurent Sartran

We present a method of estimating the gradient of an objective function with respect to the synaptic weights of a spiking neural network. The method works by measuring the fluctuations in the objective function in response to dynamic…

Neurons and Cognition · Quantitative Biology 2007-05-23 Ila R. Fiete , H. Sebastian Seung

Neural Ordinary Differential Equations (NODEs) are a novel neural architecture, built around initial value problems with learned dynamics which are solved during inference. Thought to be inherently more robust against adversarial…

Machine Learning · Computer Science 2023-03-10 Mustafa Zeqiri , Mark Niklas Müller , Marc Fischer , Martin Vechev

Neuromorphic computing aims to incorporate lessons from studying biological nervous systems in the design of computer architectures. While existing approaches have successfully implemented aspects of those computational principles, such as…

Neurons and Cognition · Quantitative Biology 2023-02-15 Christian Pehle , Luca Blessing , Elias Arnold , Eric Müller , Johannes Schemmel

There is extensive evidence that biological neural networks encode information in the precise timing of the spikes generated and transmitted by neurons, which offers several advantages over rate-based codes. Here we adopt a vector space…

Neurons and Cognition · Quantitative Biology 2019-07-16 Dorian Florescu , Daniel Coca