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This paper presents a novel approach for constructing neural networks which model charged particle beam dynamics. In our approach, the Taylor maps arising in the representation of dynamics are mapped onto the weights of a polynomial neural…

Neural and Evolutionary Computing · Computer Science 2020-07-08 Andrei Ivanov , Ilya Agapov

Network theory has played a dominant role in understanding the structure of complex systems and their dynamics. Recently, quantum complex networks, i.e. collections of quantum systems in a non-regular topology, have been explored leading to…

There is a wide range of topologies to use in simulation that can make research divergency; therefore, we propose a topology set that can be used in research of network behaviour in Software Defined Network (SDN). This paper can unite the…

Networking and Internet Architecture · Computer Science 2021-07-08 Alireza Shirmarz

Parameter-efficient fine-tuning aims to achieve performance comparable to fine-tuning, using fewer trainable parameters. Several strategies (e.g., Adapters, prefix tuning, BitFit, and LoRA) have been proposed. However, their designs are…

Computation and Language · Computer Science 2023-01-06 Jiaao Chen , Aston Zhang , Xingjian Shi , Mu Li , Alex Smola , Diyi Yang

We formulate a general mathematical framework for self-tuning network control architecture design. This problem involves jointly adapting the locations of active sensors and actuators in the network and the feedback control policy to all…

Optimization and Control · Mathematics 2023-01-18 Tyler Summers , Karthik Ganapathy , Iman Shames , Mathias Hudoba de Badyn

Random walks represent an important tool for probing the structural and dynamical properties of networks and modeling transport and diffusion processes on networks. However, when individuals' movement becomes dictated by more complicated…

Pattern Formation and Solitons · Physics 2022-11-24 Per Sebastian Skardal

This work presents the use of graph learning for the prediction of multi-step experimental outcomes for applications across experimental research, including material science, chemistry, and biology. The viability of geometric learning for…

Machine Learning · Computer Science 2024-08-13 Amanda A. Volk , Robert W. Epps , Jeffrey G. Ethier , Luke A. Baldwin

We develop a unified theoretical framework for the efficient description of multiphoton states generated and propagating in loop-based optical networks which contain nonlinear elements. These active optical components are modeled as…

Quantum Physics · Physics 2020-08-24 M. Engelkemeier , L. Lorz , Syamsundar De , B. Brecht , I. Dhand , M. B. Plenio , C. Silberhorn , J. Sperling

Many optimizers have been proposed for training deep neural networks, and they often have multiple hyperparameters, which make it tricky to benchmark their performance. In this work, we propose a new benchmarking protocol to evaluate both…

Machine Learning · Computer Science 2020-10-21 Yuanhao Xiong , Xuanqing Liu , Li-Cheng Lan , Yang You , Si Si , Cho-Jui Hsieh

We characterize the achievable range of performance measures in product-form networks where one or more system parameters can be freely set by a network operator. Given a product-form network and a set of configurable parameters, we…

Optimization and Control · Mathematics 2012-11-07 Jaron Sanders , Sem C. Borst , Johan S. H. van Leeuwaarden

We introduce a nonlinear modification of the classical Hawkes process, which allows inhibitory couplings between units without restrictions. The resulting system of interacting point processes provides a useful mathematical model for…

Probability · Mathematics 2009-11-03 Stefano Cardanobile , Stefan Rotter

Transfer learning from ImageNet is the go-to approach when applying deep learning to medical images. The approach is either to fine-tune a pre-trained model or use it as a feature extractor. Most modern architecture contain batch…

Computer Vision and Pattern Recognition · Computer Science 2021-02-11 Fahdi Kanavati , Masayuki Tsuneki

Network service providers and customers are often concerned with aggregate performance measures that span multiple network paths. Unfortunately, forming such network-wide measures can be difficult, due to the issues of scale involved. In…

Networking and Internet Architecture · Computer Science 2011-11-09 David B. Chua , Eric D. Kolaczyk , Mark Crovella

Although neural networks are capable of reaching astonishing performances on a wide variety of contexts, properly training networks on complicated tasks requires expertise and can be expensive from a computational perspective. In industrial…

Machine Learning · Statistics 2021-05-11 Théo Lacombe , Yuichi Ike , Mathieu Carriere , Frédéric Chazal , Marc Glisse , Yuhei Umeda

Parameters in deep neural networks which are trained on large-scale databases can generalize across multiple domains, which is referred as "transferability". Unfortunately, the transferability is usually defined as discrete states and it…

Machine Learning · Computer Science 2018-04-25 Yinghua Zhang , Yu Zhang , Qiang Yang

Parameter values for seismic processing steps are often chosen on a regular grid of samples and interpolated. Active learning instead attempts to optimally select the samples on which parameter values are chosen. For parameters that do not…

Geophysics · Physics 2021-06-18 Alan Richardson

Many systems in biology, physics and engineering can be described by systems of ordinary differential equation containing many parameters. When studying the dynamic behavior of these large, nonlinear systems, it is useful to identify and…

Molecular Networks · Quantitative Biology 2016-04-13 Heather A. Harrington , Dhagash Mehta , Helen M. Byrne , Jonathan D. Hauenstein

We perform an empirical study of the behaviour of deep networks when fully linearizing some of its feature channels through a sparsity prior on the overall number of nonlinear units in the network. In experiments on image classification and…

Machine Learning · Computer Science 2023-06-02 Christian H. X. Ali Mehmeti-Göpel , Jan Disselhoff

In this paper we present an alternative strategy for fine-tuning the parameters of a network. We named the technique Gradual Tuning. Once trained on a first task, the network is fine-tuned on a second task by modifying a progressively…

Artificial Intelligence · Computer Science 2017-11-29 Guglielmo Montone , J. Kevin O'Regan , Alexander V. Terekhov

Graph transformers have gained popularity in various graph-based tasks by addressing challenges faced by traditional Graph Neural Networks. However, the quadratic complexity of self-attention operations and the extensive layering in graph…

Machine Learning · Computer Science 2023-09-20 Reza Shirkavand , Heng Huang