Login with Facebook

Dynamic Systems Modeling with Machine Learning

A time series is a finite or infinite sequence of elements that keep a specific chronological order with each other. These elements can be the product of a measurement process like the one mentioned above, or they can be generated in a completely synthetic way. In addition, depending on the characteristics of the measured variable, these elements could be represented in the space of one dimension or several dimensions. For example, if you want to analyze the motion behavior of a person, a time series will be obtained from the measurement of the acceleration variable, which by default has three components (one in each of the axes of motion), which gives as a result, a series of multi-dimensional time. If, on the contrary, it is desired to analyze the rectilinear motion of a particle, the most common will be to obtain a one-dimensional time series. From the point of view of the stored data, the difference in the representation of each element is that the uni-dimensional case will be given by a scalar, while the multi-dimensional case will be given by an ordered tuple of elements with vector structure.


The complexity of a series of time is directly related to the process that produces it and is usually associated with the variability of the process and the difficulty of finding a recognizable pattern in its behavior that can be used to make inferences about the process that originates it.

What is the objective of Dynamic Systems Modeling?

To meet this general objective, we have found it necessary to meet the following specific objectives:

- To study the viability of the representation of a dynamic system with characteristics extracted from a time series sampled from a single state variable utilizing a classical decomposition by the Wavelet Packet Transform.

- Develop a methodology based on Classic Signal Analysis and Machine Learning for the creation of predictive models of Dynamic Systems.

- Present a method for the generation of models of extraction of adaptive characteristics automatically that is capable of representing the dynamics of the system through Deep Learning techniques.

- To compare the previous proposal, experimentally with a set of methodologies for extracting characteristics.

- Develop a Dynamic Systems modeling method based on the reconstruction of the signal derived from a system variable.

- Analyze the feasibility of representing the dynamics of a system using another dynamic parameterized model.

- Present a methodology for the creation of generative models for detecting anomalies in Dynamic Systems through Deep Learning and Variation Inference.

- Evaluate the performance of all proposals in fault diagnosis applications, damage severity analysis, and/or fault detection in rotating machinery.

Learning time-series features:

 Here we focus on the analysis and modeling of time series with high variability. The perspective from which the problem is approached stems from the search for patterns through signal analysis and processing using a priori expert knowledge of the process to evolve into an unsupervised modeling methodology based solely on the data available from the measurements. To this end, three methods are proposed to address the problem of modeling a time series. The first proposal uses known signal processing techniques, which are selected based on the knowledge reported for the derivation of representative characteristics (with more notorious patterns) of the time series, and which will then be used for the construction of a classification model using the Random Forest Machine Learning model. 


The second proposal takes a step forward in the search for the independence of process knowledge, resulting in a method that assesses the possibility of using unsupervised feature drive with the use of a data-based learning model called Stacked Convolutional Auto encoder. It represents the time series in 2 dimensions, obtained with signal processing techniques, can extract useful features that will later be used to build a prediction model. These two initial approaches present the problem of needing time series that are labeled for the construction of the prediction model. Consequently, although the feature extraction process is unsupervised, as in the second case, under this approach, it is not possible to achieve a priori independence of knowledge in the data. 

Representation learning and one-class learning:

The third proposal is presented as a solution to this problem, where dependence on signal processing techniques is totally eliminated, and an Echo State Networks based approach is proposed to project the time series to a new representation space in an unsupervised manner. Under this approach, it is not possible to achieve a priori independence of knowledge in the data. 

The processes we will focus on to apply the above proposals belong to an area of ​​mechanical and process engineering called Condition-based Maintenance(CBM), which focuses on the study of techniques. They help to determine the general condition of a machine and/or its components to achieve (with good maintenance planning) extend its useful life and reduce operating costs. Within the CBM, the processes associated with the diagnosis of gears and rotating machinery bearings, which have been selected as the object of study of this work, are addressed. The objective that we seek for the task of the diagnosis of failures is to elaborate methodologies that allow identifying damages, and / or their severity, in gearboxes and bearings from only symptoms that can be captured from measurements in variables of the complete mechanical system.

Without a doubt, it is desirable to have fault classification models, and / or severity level,

These mechanical components have been chosen because they are the most common, important, and prone to failures in rotary machines, so we have both enough data for analysis and prior knowledge necessary to verify the robustness of the solutions obtained. The variable of the process from which the time series that we will use in our work is obtained is the vibration of the machine, which is obtained by the process of discretization of the signals captured by sensors called accelerometers. Although the time series with which we will work is a discrete representation of the actual signals, the two terms will have the same meaning throughout this work, unless explicitly stated otherwise.


Based on the results obtained, both from a specific perspective to each of the proposals studied, and from a global perspective that combines and compares all these proposals. It also shows some possible future lines of research around the theme developed here, and the good results obtained, evaluating the modeling of dynamic systems with Machine LearningMachine Learning, hoping to motivate this path as one of the possible lines of work complementary to the rest of existing approaches.


Send Comment

Need a custom

We will write it for you.
Order now

Free Essay Examples

Free essays:

All you need to know about Smart prosthesis
Asian vs. western leadership styles
All you need to know about the epidemiology
Applications of BIOMEMS
Broadcasting: How to Be Good In Front of the Camera
Bioconjugates for the Drugs Delivery
Big data analysis in evolutionary biology
Brain-Computer Interface systems with EEG signals
Challenges that IT Managers are facing
Cochlear implant: what it is and how it works
Current challenges to the health of women
Current challenges to the health of Adolescence
Doppler ultrasound or simply eco Doppler
DNA extraction
Dynamic Systems Modeling with Machine Learning
Digital Imaging: What Is It?
Everything you need to know about the capital market
Entrepreneurship: Conceptual Framework for Evaluating Technology
Entrepreneurship: Opportunity and Design Thinking
Everything you need to know about enzymatic kinetics
Factors about The Savings Investment Process
Financial intermediaries and its Types
Fascias: all about fibrous membranes
Funding sources for non-profit organizations
Genetic regulation networks: modeling in biology
How to make your business survive at economic crisis
How to choose the topic of the senior capstone project
Healthcare technologies that help patients with better self-management
Introduction of Microfabrication techniques
Introduction to Writing a TV Script
Introduction to Journalism
Importance of modern trade policy
Journalism: What is News?
Journalism: Broadcast media and Television Presenters
Journalism: Sources of News
Journalism and Law
Kinetic models in biology and Related fields
Know about the different forms of traditional African dances
Know about the history of science
Latest technology trends
Microfluidics and microfluidic chips
Molecular Imaging
Modern conservatism in America
Modeling and simulation of genetic regulatory networks
Neurotransmitters: what they are and different types
Nanomedicines to target tumors
Nonlinear Dynamics in Biology & Biomedicine
NLS (Nonlinear System) - Revolutionary system in diagnostic medicine and therapy
Overcoming Hiring Challenges for Nonprofit Organization
Principle of Optical coherence tomography (OCT)
Politics and Religion: Relations and Conflict Issues
Principle and parameters of Volumetric computed tomography
Role of technology in the modern business environment
Role of Homeostasis in Human Physiology
Role of a digital artist
Role of gender studies
Skills in Journalism: Effective Interview
Systems biology - An understanding the functioning of biological systems
Self-assembly for biological systems
School of American Ballet
The Structure of Interest Rates and the Yield Curve
The New Media: Emerging Trends
The technical basis of optical coherence imaging
The Principles of MRI Contrast agents
Ultrasound: physical principles and image formation
Understanding social entrepreneurship
Understand the importance of investigative journalism
Urban planning in the US
Various theoretical perspectives of sociology
Virtual reality, what it is and how it works
What is neuroethics?
What is a Brain-Computer Interface (BCI)
4 Facts about Origin of Mathematics!
5 techniques to create an animation
13 Best colleges for political science in the world
3d Model Of Building
All you need to know about the ACA Code of ethics
Architecture and Democracy: An Introduction
Architecture and Democracy: Democratic Values
Architecture and Democracy: Democratic Procedures
All You Need to Know About a Synthesis Essay
An essential guide to understanding Film Theory
Application of Artificial Intelligence in Cyber Security
Applications of electrical engineering
Augmented reality: what it is, how it works, examples
Advantages And Disadvantages Of Social Networking
All you need to know about Cryptography
Applications of astrophysical science
All you need to know about architecture engineering
Applications of geological engineering
Artificial intelligence and medicine: an increasingly close relationship
An insight into Computational Biology
ACA code of conduct
A Rose for Emily
Applications of Mathematics in daily life
Architecture mistakes to avoid
All you need to know about Toxicology
All you need to know about Holistic Medicine
All you need to know about linguistics
An introduction to Linguistics and its subfields
All you need to know about Anxiety disorder
All you need to know about Drones
A Brief Insight into Political Science
Assumptions related to feminism
All you need to know about Byzantine emperors
All you need to know about labour economics
An insight into xenobots -the first-ever robots
An ultimate guide about Biomaterials
A Comprehensive Introduction to the Mona Lisa
Analysis methods of Transport through biological membranes
An ultimate guide about biochemical reactions
Analysis of brain signals
Artificial Gene Synthesis
Application to synthetic biology of CAD methods
All you need to know about metabolic pathways
Applications of BIOMEMS
All you need to know about the epidemiology
Asian vs. western leadership styles
All you need to know about Smart prosthesis
How to Write a Personal Essay
Housing Needs in America
How to Write a Description Essay
How to Create an Excellent Scholarship Essay?
How to write a cause and effect essay
How to Hire the Best Essay Writing Service Provider?
How to Write a College Application Essay?
How to get the most out of your English lectures
How to write Expository Essay
How to succeed in your psychology class?
How to Write an Academic Essay in the Shortest Time?
History of Journalism
How Different Sectors are Using Artificial intelligence (AI)
How to write an informative essay
How to deliver persuasive essays?
How to Give a Convincing Presentation
How to write an essay on leadership?
Historical Art Still Around Today
Humanoid robot: what it is, how it works and price
History of Chemistry
Healthcare Advanced Computer Power: Robotics, Medical Imaging, and More
Healthcare AI: Game Changers for Medical Decision-Making and Remote Patient Monitoring
How to understand different types of English
How to Cope with Chronic Pain
How African American choreographers and dancers have influenced American dance
How mobile robot can do in logistics or in production
How To Become a Successful Entrepreneur
History of the Philosophy of Feminism
How is the climate changing?
How to Track Your Content Marketing ROI
How to Gun control In the USA?
Historical and contemporary role of labour in the modern world
How breast cancers are classified?
How the cells of our body communicate?
How the Lymphatic System Works?
How Digestive System Works
How to complete your capstone projects effectively?
How to write a research project
Healthcare technologies that help patients with better self-management
How to choose the topic of the senior capstone project
How to make your business survive at economic crisis
The Looming Energy Crisis in America
Top benefits of performance-based engineering
The More Languages You Know, The More Times You Are a Man
Things to consider while writing an Argumentative Essay
Top Ways to Improve Your Academic Writing Skills
Tips to Excel in Creative Writing
The origins of films in the early 19th century
Top career options in Architecture
The Elevator Pitch
Top finance trends 2020
The basic Structure and functionality of robots
The Way to Success
The election system of the President in the United States of America
Two-party System in United States of America
Top trends in urban design
The history and theory of African American filmmaking
Top benefits of creative writing
Tinnitus Guide: Common Symptoms and Treatment Options
The language of dance
The digital image processing management
Top famous politicians of the World
Top methods of political science!
The history of the feminist movement
The blood flow in cardiovascular system - Biofluid Mechanics
The best of Leonardo Da Vinci
The Structure and Function of Macromolecules
The structure of cell: a research on the bricks of the human body!
Tissue and organ construction: Adhesion and recognition between cells
The kinetics of the transformation processes
The Modeling of Biological Systems
Tips for writing a great thesis statement
The Defense mechanisms against infections
The impact of the technological innovations in medicine
Top journalism trends to know about
The relation between mass media & politics
Theranostics: Diagnosis and Care through Nanoparticles
The practical Applications of X-rays
The applications of Ultrasound in medicine
Transfer mechanisms of genetic information in Bacteria
The regulation of cellular metabolism in the diagnosis
The Principles of MRI Contrast agents
The technical basis of optical coherence imaging
The New Media: Emerging Trends
The Structure of Interest Rates and the Yield Curve
What is a Definition Essay?
What are diagnostic essays?
What is the relation between art structural engineering?
What is a Narrative Essay
What are robotics and intelligence systems?
What are the benefits of studying health sciences?
What is artificial intelligence and why it matters?
What is comparative Literature?
Why study neuroscience
What is Wi-Fi and how does it works
What is French history famous for?
What are Humanistic Studies?
What is covered in Biophysics?
What is modern journalism?
What is Virtualization? Benefits & Applications
What are modern public relations?
What is plasma physics?
What is teacher preparation?
What is rapid prototyping for 3D printing?
What is contemporary European Politics?
Why should you learn American Ballet?
What is engineering physics?
What is the purpose of African American Literature?
Ways to learn the Rhythm
What is digital art used for?
What are Enzymes and how do they work
Who is the father of political science?
Why Study Political Science - Job?
What is the Philosophy of Feminism?
What is a quantum computer?
Ways B2B Startups Streamline Their Conversion Strategies
Why do biomedical signals need processing?
What are the long term effects of climate change?
Why study labour relations
What is Holoprosencephaly?
What is antisocial disorder?
What are the important principles of evolution?
What is the cytoplasm and its function?
What is biopolymers?
What Makes a Good Leader
Women empowerment in modern generation
What is the history of political thought?
What is Gene recombination
What is synthetic biology
What is business cost analysis?
What is Inflation
What are the consequences of unemployment?
What is lithotripsy and its types?
What is transition elastography?
What is the purpose of deep brain stimulation?
What is a Brain-Computer Interface (BCI)
What is neuroethics?