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An important application of neural networks to scientific computing has been the learning of non-linear operators. In this framework, a neural network is trained to fit a non-linear map between two infinite dimensional spaces, for example,…

机器学习 · 计算机科学 2026-02-03 Shao-Ting Chiu , Aditya Nambiar , Ali Syed , Jonathan W. Siegel , Ulisses Braga-Neto

The adaptation of neural codes to the statistics of their environment is well captured by efficient coding approaches. Here we solve an inverse problem: characterizing the objective and constraint functions that efficient codes appear to be…

神经元与认知 · 定量生物学 2021-02-25 Luke Rast , Jan Drugowitsch

Biological and artificial learning agents face numerous choices about how to learn, ranging from hyperparameter selection to aspects of task distributions like curricula. Understanding how to make these meta-learning choices could offer…

神经与进化计算 · 计算机科学 2024-07-16 Rodrigo Carrasco-Davis , Javier Masís , Andrew M. Saxe

As large-scale pre-trained foundation models continue to expand in size and capability, efficiently adapting them to specific downstream tasks has become increasingly critical. Despite substantial progress, existing adaptation approaches…

机器学习 · 计算机科学 2025-10-21 Zesheng Ye , Chengyi Cai , Ruijiang Dong , Jianzhong Qi , Lei Feng , Pin-Yu Chen , Feng Liu

Synthesizing optimal controllers for dynamical systems often involves solving optimization problems with hard real-time constraints. These constraints determine the class of numerical methods that can be applied: computationally expensive…

最优化与控制 · 数学 2022-03-16 Federico Berto , Stefano Massaroli , Michael Poli , Jinkyoo Park

This paper studies a multi-task control problem where multiple linear systems are to be regulated by a single non-linear controller. In particular, motivated by recent advances in multi-task learning and the design of brain-inspired…

系统与控制 · 电气工程与系统科学 2025-02-03 Umberto Casti , Giacomo Baggio , Sandro Zampieri , Fabio Pasqualetti

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

系统与控制 · 电气工程与系统科学 2022-07-19 Christos K. Verginis , Zhe Xu , Ufuk Topcu

Optimal control problems (OCPs) involve finding a control function for a dynamical system such that a cost functional is optimized. It is central to physical systems in both academia and industry. In this paper, we propose a novel…

系统与控制 · 电气工程与系统科学 2024-12-18 Mingquan Feng , Zhijie Chen , Yixin Huang , Yizhou Liu , Junchi Yan

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

最优化与控制 · 数学 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

An important aspect of intelligence is the ability to adapt to a novel task without any direct experience (zero-shot), based on its relationship to previous tasks. Humans can exhibit this cognitive flexibility. By contrast, models that…

机器学习 · 计算机科学 2021-03-17 Andrew K. Lampinen , James L. McClelland

Most recently proposed methods for Neural Program Induction work under the assumption of having a large set of input/output (I/O) examples for learning any underlying input-output mapping. This paper aims to address the problem of data and…

人工智能 · 计算机科学 2017-10-12 Jacob Devlin , Rudy Bunel , Rishabh Singh , Matthew Hausknecht , Pushmeet Kohli

Single-operator learning involves training a deep neural network to learn a specific operator, whereas recent work in multi-operator learning uses an operator embedding structure to train a single neural network on data from multiple…

机器学习 · 计算机科学 2025-06-16 Jingmin Sun , Zecheng Zhang , Hayden Schaeffer

Research has characterized the various forms cognitive control can take, including enhancement of goal-relevant information, suppression of goal-irrelevant information, and overall inhibition of potential responses, and has identified…

神经元与认知 · 定量生物学 2022-01-04 Harrison Ritz , Xiamin Leng , Amitai Shenhav

Neural operators have emerged as transformative tools for learning mappings between infinite-dimensional function spaces, offering useful applications in solving complex partial differential equations (PDEs). This paper presents a rigorous…

数值分析 · 数学 2026-01-23 Vu-Anh Le , Mehmet Dik

Deep neural networks are an attractive alternative for simulating complex dynamical systems, as in comparison to traditional scientific computing methods, they offer reduced computational costs during inference and can be trained directly…

机器学习 · 计算机科学 2024-05-01 Katarzyna Michałowska , Somdatta Goswami , George Em Karniadakis , Signe Riemer-Sørensen

We develop a learning-based algorithm for the distributed formation control of networked multi-agent systems governed by unknown, nonlinear dynamics. Most existing algorithms either assume certain parametric forms for the unknown dynamic…

系统与控制 · 电气工程与系统科学 2022-01-13 Christos K. Verginis , Zhe Xu , Ufuk Topcu

We present an online multi-task learning approach for adaptive nonlinear control, which we call Online Meta-Adaptive Control (OMAC). The goal is to control a nonlinear system subject to adversarial disturbance and unknown…

机器学习 · 计算机科学 2021-10-28 Guanya Shi , Kamyar Azizzadenesheli , Michael O'Connell , Soon-Jo Chung , Yisong Yue

This paper explores learned-context neural networks. It is a multi-task learning architecture based on a fully shared neural network and an augmented input vector containing trainable task parameters. The architecture is interesting due to…

机器学习 · 计算机科学 2025-08-07 Anders T. Sandnes , Bjarne Grimstad , Odd Kolbjørnsen

As the range of tasks performed by a general vision system expands, executing multiple tasks accurately and efficiently in a single network has become an important and still open problem. Recent computer vision approaches address this…

机器学习 · 计算机科学 2020-11-02 Hila Levi , Shimon Ullman

We consider solving a probably infinite dimensional operator equation, where the operator is not modeled by physical laws but is specified indirectly via training pairs of the input-output relation of the operator. Neural operators have…

数值分析 · 数学 2026-05-06 Otmar Scherzer , Thi Lan Nhi Vu , Jikai Yan