analytical method
Machine Learning-Driven Compensation for Non-Ideal Channels in AWG-Based FBG Interrogator
Kazakov, Ivan A., Kulichenko, Iana V., Kovalev, Egor E., Treskova, Angelina A., Barma, Daria D., Malakhov, Kirill M., Oseledets, Ivan V., Shipulin, Arkady V.
We present an experimental study of a fiber Bragg grating (FBG) interrogator based on a silicon oxynitride (SiON) photonic integrated arrayed waveguide grating (AWG). While AWG-based interrogators are compact and scalable, their practical performance is limited by non-ideal spectral responses. To address this, two calibration strategies within a 2.4 nm spectral region were compared: (1) a segmented analytical model based on a sigmoid fitting function, and (2) a machine learning (ML)-based regression model. The analytical method achieves a root mean square error (RMSE) of 7.11 pm within the calibrated range, while the ML approach based on exponential regression achieves 3.17 pm. Moreover, the ML model demonstrates generalization across an extended 2.9 nm wavelength span, maintaining sub-5 pm accuracy without re-fitting. Residual and error distribution analyses further illustrate the trade-offs between the two approaches. ML-based calibration provides a robust, data-driven alternative to analytical methods, delivering enhanced accuracy for non-ideal channel responses, reduced manual calibration effort, and improved scalability across diverse FBG sensor configurations.
Data driven approach towards more efficient Newton-Raphson power flow calculation for distribution grids
Yan, Shengyuan, Vazinram, Farzad, Kaseb, Zeynab, Spoor, Lindsay, Stiasny, Jochen, Mamudi, Betul, Ardakani, Amirhossein Heydarian, Orji, Ugochukwu, Vergara, Pedro P., Xiang, Yu, Guo, Jerry
Power flow (PF) calculations are fundamental to power system analysis to ensure stable and reliable grid operation. The Newton-Raphson (NR) method is commonly used for PF analysis due to its rapid convergence when initialized properly. However, as power grids operate closer to their capacity limits, ill-conditioned cases and convergence issues pose significant challenges. This work, therefore, addresses these challenges by proposing strategies to improve NR initialization, hence minimizing iterations and avoiding divergence. We explore three approaches: (i) an analytical method that estimates the basin of attraction using mathematical bounds on voltages, (ii) Two data-driven models leveraging supervised learning or physics-informed neural networks (PINNs) to predict optimal initial guesses, and (iii) a reinforcement learning (RL) approach that incrementally adjusts voltages to accelerate convergence. These methods are tested on benchmark systems. This research is particularly relevant for modern power systems, where high penetration of renewables and decentralized generation require robust and scalable PF solutions. In experiments, all three proposed methods demonstrate a strong ability to provide an initial guess for Newton-Raphson method to converge with fewer steps. The findings provide a pathway for more efficient real-time grid operations, which, in turn, support the transition toward smarter and more resilient electricity networks.
Alpha Zero for Physics: Application of Symbolic Regression with Alpha Zero to find the analytical methods in physics
RIKEN Center for Emergent Matter Science (CEMS), Wako, Saitama 351-0198, Japan (Dated: December 5, 2023) Machine learning with neural networks is now becoming a more and more powerful tool for various tasks, such as natural language processing, image recognition, winning the game, and even for the issues of physics. Although there are many studies on the application of machine learning to numerical calculation and assistance of experiments, the methods of applying machine learning to find the analytical method are poorly studied. In this paper, we propose the frameworks for developing analytical methods in physics by using the symbolic regression with the Alpha Zero algorithm, that is, Alpha Zero for physics (AZfP). As a demonstration, we show that AZfP can derive the high-frequency expansion in the Floquet systems. AZfP may have the possibility of developing a new theoretical framework in physics.
Real-Time Tube-Based Non-Gaussian Risk Bounded Motion Planning for Stochastic Nonlinear Systems in Uncertain Environments via Motion Primitives
Han, Weiqiao, Jasour, Ashkan, Williams, Brian
We consider the motion planning problem for stochastic nonlinear systems in uncertain environments. More precisely, in this problem the robot has stochastic nonlinear dynamics and uncertain initial locations, and the environment contains multiple dynamic uncertain obstacles. Obstacles can be of arbitrary shape, can deform, and can move. All uncertainties do not necessarily have Gaussian distribution. This general setting has been considered and solved in [1]. In addition to the assumptions above, in this paper, we consider long-term tasks, where the planning method in [1] would fail, as the uncertainty of the system states grows too large over a long time horizon. Unlike [1], we present a real-time online motion planning algorithm. We build discrete-time motion primitives and their corresponding continuous-time tubes offline, so that almost all system states of each motion primitive are guaranteed to stay inside the corresponding tube. We convert probabilistic safety constraints into a set of deterministic constraints called risk contours. During online execution, we verify the safety of the tubes against deterministic risk contours using sum-of-squares (SOS) programming. The provided SOS-based method verifies the safety of the tube in the presence of uncertain obstacles without the need for uncertainty samples and time discretization in real-time. By bounding the probability the system states staying inside the tube and bounding the probability of the tube colliding with obstacles, our approach guarantees bounded probability of system states colliding with obstacles. We demonstrate our approach on several long-term robotics tasks.
The Case Against Registered Reports
Registered reports have been proposed as a way to move from eye-catching and surprising results and toward methodologically sound practices and interesting research questions. However, none of the top-twenty artificial intelligence journals support registered reports, and no traces of registered reports can be found in the field of artificial intelligence. Is this because they do not provide value for the type of research that is conducted in the field of artificial intelligence? Registered reports have been touted as one of the solutions to the problems surrounding the reproducibility crisis. They promote good research practices and combat data dredging1.
Relief is coming for your security team: 6 ways AI is a game-changer
Artificial intelligence (AI) and machine learning (ML) give security teams the ability to catch bad guys with the power of math. Through the use of effective analytical methods, organizations can become more cyber resilient. With statistical learning; supervised, semi-supervised, and unsupervised ML; advanced visualizations; and other principled approaches tailored for cybersecurity, you will be one step ahead of the game. Here are six ways AI and ML, along with analytics, can boost your company's cyber resilience. AI and ML can remove friction in managing identities through adaptive authentication, which dynamically escalates the factors needed to verify an identity based on risk.
AI methods of analyzing social networks find new cell types in tissue
In situ sequencing enables gene activity inside body tissues to be depicted in microscope images. To facilitate interpretation of the vast quantities of information generated. Researchers have now developed an entirely new method of image analysis. Based on algorithms used in artificial intelligence, the method was originally devised to enhance understanding of social networks.
Analyzing analytical methods: The case of phonology in neural models of spoken language
Chrupała, Grzegorz, Higy, Bertrand, Alishahi, Afra
Given the fast development of analysis techniques for NLP and speech processing systems, few systematic studies have been conducted to compare the strengths and weaknesses of each method. As a step in this direction we study the case of representations of phonology in neural network models of spoken language. We use two commonly applied analytical techniques, diagnostic classifiers and representational similarity analysis, to quantify to what extent neural activation patterns encode phonemes and phoneme sequences. We manipulate two factors that can affect the outcome of analysis. First, we investigate the role of learning by comparing neural activations extracted from trained versus randomly-initialized models. Second, we examine the temporal scope of the activations by probing both local activations corresponding to a few milliseconds of the speech signal, and global activations pooled over the whole utterance. We conclude that reporting analysis results with randomly initialized models is crucial, and that global-scope methods tend to yield more consistent results and we recommend their use as a complement to local-scope diagnostic methods.
Overview of chemical ontologies
Pachl, Christian, Frank, Nils, Breitbart, Jan, Bräse, Stefan
Ontologies order and interconnect knowledge of a certain field in a formal and semantic way so that they are machine-parsable. They try to define allwhere acceptable definition of concepts and objects, classify them, provide properties as well as interconnect them with relations (e.g. "A is a special case of B"). More precisely, Tom Gruber defines Ontologies as a "specification of a conceptualization; [...] a description (like a formal specification of a program) of the concepts and relationships that can exist for an agent or a community of agents." [1] An Ontology is made of Individuals which are organized in Classes. Both can have Attributes and Relations among themselves. Some complex Ontologies define Restrictions, Rules and Events which change attributes or relations. To be computer accessible they are written in certain ontology languages, like the OBO language or the more used Common Algebraic Specification Language. With the rising of a digitalized, interconnected and globalized world, where common standards have to be found, ontologies are of great interest. [2] Yet, the development of chemical ontologies is in the beginning. Indeed, some interesting basic approaches towards chemical ontologies can be found, but nevertheless they suffer from two main flaws. Firstly, we found that they are mostly only fragmentary completed or are still in an architecture state. Secondly, apparently no chemical ontology is widespread accepted. Therefore, we herein try to describe the major ontology-developments in the chemical related fields Ontologies about chemical analytical methods, Ontologies about name reactions and Ontologies about scientific units.
GPdoemd: a Python package for design of experiments for model discrimination
Olofsson, Simon, Hebing, Lukas, Niedenführ, Sebastian, Deisenroth, Marc Peter, Misener, Ruth
Model discrimination identifies a mathematical model that usefully explains and predicts a given system's behaviour. Researchers will often have several models, i.e.\ hypotheses, about an underlying system mechanism, but insufficient experimental data to discriminate between the models, i.e.\ discard inaccurate models. Given rival mathematical models and an initial experimental data set, optimal design of experiments suggests maximally informative experimental observations that maximise a design criterion weighted by prediction uncertainty. The model uncertainty requires gradients, which may not be readily available for black-box models. This paper (i) proposes a new design criterion using the Jensen-R\'enyi divergence, and (ii) develops a novel method replacing black-box models with Gaussian process surrogates. Using the surrogates, we marginalise out the model parameters with approximate inference. Results show these contributions working well for both classical and new test instances. We also (iii) introduce and discuss GPdoemd, the open-source implementation of the Gaussian process surrogate method.