Overview of the state-of-the-art Time Series Clustering based on literature study; distance metrics, prototypes, time-series preprocessing, and clustering algorithms
Principal Component Analysis (PCA) and LDA PPT SlidesAbhishekKumar4995
Machine learning (ML) technique use for Dimension reduction, feature extraction and analyzing huge amount of data are Principal Component Analysis (PCA) and Linear Discriminant Analysis (LDA) are easily and interactively explained with scatter plot graph , 2D and 3D projection of Principal components(PCs) for better understanding.
Data preprocessing techniques
See my Paris applied psychology conference paper here
https://www.slideshare.net/jasonrodrigues/paris-conference-on-applied-psychology
or
https://prezi.com/view/KBP8JnekVH9LkLOiKY3w/
Principal Component Analysis (PCA) and LDA PPT SlidesAbhishekKumar4995
Machine learning (ML) technique use for Dimension reduction, feature extraction and analyzing huge amount of data are Principal Component Analysis (PCA) and Linear Discriminant Analysis (LDA) are easily and interactively explained with scatter plot graph , 2D and 3D projection of Principal components(PCs) for better understanding.
Data preprocessing techniques
See my Paris applied psychology conference paper here
https://www.slideshare.net/jasonrodrigues/paris-conference-on-applied-psychology
or
https://prezi.com/view/KBP8JnekVH9LkLOiKY3w/
Introduction to Statistical Machine Learningmahutte
This course provides a broad introduction to the methods and practice
of statistical machine learning, which is concerned with the development
of algorithms and techniques that learn from observed data by
constructing stochastic models that can be used for making predictions
and decisions. Topics covered include Bayesian inference and maximum
likelihood modeling; regression, classi¯cation, density estimation,
clustering, principal component analysis; parametric, semi-parametric,
and non-parametric models; basis functions, neural networks, kernel
methods, and graphical models; deterministic and stochastic
optimization; over¯tting, regularization, and validation.
You will learn the basic concepts of machine learning classification and will be introduced to some different algorithms that can be used. This is from a very high level and will not be getting into the nitty-gritty details.
Missing data handling is typically done in an ad-hoc way. Without understanding the repurcussions of a missing data handling technique, approaches that only let you get to the "next step" in your analytics pipeline leads to terrible outputs, conclusions that aren't robust and biased estimates. Handling missing data in data sets requires a structured approach. In this workshop, we will cover the key tenets of handling missing data in a structured way
Decision Tree Algorithm | Decision Tree in Python | Machine Learning Algorith...Edureka!
** Machine Learning with Python : https://www.edureka.co/machine-learning-certification-training **
This Edureka tutorial on Decision Tree Algorithm in Python will take you through the fundamentals of decision tree machine learning algorithm concepts and its demo in Python. Below are the topics covered in this tutorial:
1. What is Classification?
2. Types of Classification
3. Classification Use Case
4. What is Decision Tree?
5. Decision Tree Terminology
6. Visualizing a Decision Tree
7 Writing a Decision Tree Classifier fro Scratch in Python using CART Algorithm
Check out our Python Machine Learning Playlist: https://goo.gl/UxjTxm
What is the Expectation Maximization (EM) Algorithm?Kazuki Yoshida
Review of Do and Batzoglou. "What is the expectation maximization algorith?" Nat. Biotechnol. 2008;26:897. Also covers the Data Augmentation and Stan implementation. Resources at https://github.com/kaz-yos/em_da_repo
Hierarchical Clustering | Hierarchical Clustering in R |Hierarchical Clusteri...Simplilearn
This presentation about hierarchical clustering will help you understand what is clustering, what is hierarchical clustering, how does hierarchical clustering work, what is distance measure, what is agglomerative clustering, what is divisive clustering and you will also see a demo on how to group states based on their sales using clustering method. Clustering is the method of dividing the objects into clusters which are similar between them and are dissimilar to the objects belonging to another cluster. It is used to find data clusters such that each cluster has the most closely matched data. Prototype-based clustering, hierarchical clustering, and density-based clustering are the three types of clustering algorithms. Lets us discuss hierarchical clustering in this video. In simple terms, Hierarchical clustering is separating data into different groups based on some measure of similarity.
Below topics are explained in this "Hierarchical Clustering" presentation:
1. What is clustering?
2. What is hierarchical clustering
3. How hierarchical clustering works?
4. Distance measure
5. What is agglomerative clustering
6. What is divisive clustering
7. Demo: to group states based on their sales
Why learn Machine Learning?
Machine Learning is taking over the world- and with that, there is a growing need among companies for professionals to know the ins and outs of Machine Learning
The Machine Learning market size is expected to grow from USD 1.03 Billion in 2016 to USD 8.81 Billion by 2022, at a Compound Annual Growth Rate (CAGR) of 44.1% during the forecast period.
What skills will you learn from this Machine Learning course?
By the end of this Machine Learning course, you will be able to:
1. Master the concepts of supervised, unsupervised and reinforcement learning concepts and modeling.
2. Gain practical mastery over principles, algorithms, and applications of Machine Learning through a hands-on approach which includes working on 28 projects and one capstone project.
3. Acquire thorough knowledge of the mathematical and heuristic aspects of Machine Learning.
4. Understand the concepts and operation of support vector machines, kernel SVM, naive Bayes, decision tree classifier, random forest classifier, logistic regression, K-nearest neighbors, K-means clustering and more.
5. Be able to model a wide variety of robust Machine Learning algorithms including deep learning, clustering, and recommendation systems
We recommend this Machine Learning training course for the following professionals in particular:
1. Developers aspiring to be a data scientist or Machine Learning engineer
2. Information architects who want to gain expertise in Machine Learning algorithms
3. Analytics professionals who want to work in Machine Learning or artificial intelligence
4. Graduates looking to build a career in data science and Machine Learning
Learn more at www.simplilearn.com
This presentation gives the idea about Data Preprocessing in the field of Data Mining. Images, examples and other things are adopted from "Data Mining Concepts and Techniques by Jiawei Han, Micheline Kamber and Jian Pei "
DBScan stands for Density-Based Spatial Clustering of Applications with Noise.
DBScan Concepts
DBScan Parameters
DBScan Connectivity and Reachability
DBScan Algorithm , Flowchart and Example
Advantages and Disadvantages of DBScan
DBScan Complexity
Outliers related question and its solution.
Learning a nonlinear embedding by preserving class neibourhood structure 최종WooSung Choi
Salakhutdinov, Ruslan, and Geoffrey E. Hinton. "Learning a nonlinear embedding by preserving class neighbourhood structure." International Conference on Artificial Intelligence and Statistics. 2007.
Introduction to Statistical Machine Learningmahutte
This course provides a broad introduction to the methods and practice
of statistical machine learning, which is concerned with the development
of algorithms and techniques that learn from observed data by
constructing stochastic models that can be used for making predictions
and decisions. Topics covered include Bayesian inference and maximum
likelihood modeling; regression, classi¯cation, density estimation,
clustering, principal component analysis; parametric, semi-parametric,
and non-parametric models; basis functions, neural networks, kernel
methods, and graphical models; deterministic and stochastic
optimization; over¯tting, regularization, and validation.
You will learn the basic concepts of machine learning classification and will be introduced to some different algorithms that can be used. This is from a very high level and will not be getting into the nitty-gritty details.
Missing data handling is typically done in an ad-hoc way. Without understanding the repurcussions of a missing data handling technique, approaches that only let you get to the "next step" in your analytics pipeline leads to terrible outputs, conclusions that aren't robust and biased estimates. Handling missing data in data sets requires a structured approach. In this workshop, we will cover the key tenets of handling missing data in a structured way
Decision Tree Algorithm | Decision Tree in Python | Machine Learning Algorith...Edureka!
** Machine Learning with Python : https://www.edureka.co/machine-learning-certification-training **
This Edureka tutorial on Decision Tree Algorithm in Python will take you through the fundamentals of decision tree machine learning algorithm concepts and its demo in Python. Below are the topics covered in this tutorial:
1. What is Classification?
2. Types of Classification
3. Classification Use Case
4. What is Decision Tree?
5. Decision Tree Terminology
6. Visualizing a Decision Tree
7 Writing a Decision Tree Classifier fro Scratch in Python using CART Algorithm
Check out our Python Machine Learning Playlist: https://goo.gl/UxjTxm
What is the Expectation Maximization (EM) Algorithm?Kazuki Yoshida
Review of Do and Batzoglou. "What is the expectation maximization algorith?" Nat. Biotechnol. 2008;26:897. Also covers the Data Augmentation and Stan implementation. Resources at https://github.com/kaz-yos/em_da_repo
Hierarchical Clustering | Hierarchical Clustering in R |Hierarchical Clusteri...Simplilearn
This presentation about hierarchical clustering will help you understand what is clustering, what is hierarchical clustering, how does hierarchical clustering work, what is distance measure, what is agglomerative clustering, what is divisive clustering and you will also see a demo on how to group states based on their sales using clustering method. Clustering is the method of dividing the objects into clusters which are similar between them and are dissimilar to the objects belonging to another cluster. It is used to find data clusters such that each cluster has the most closely matched data. Prototype-based clustering, hierarchical clustering, and density-based clustering are the three types of clustering algorithms. Lets us discuss hierarchical clustering in this video. In simple terms, Hierarchical clustering is separating data into different groups based on some measure of similarity.
Below topics are explained in this "Hierarchical Clustering" presentation:
1. What is clustering?
2. What is hierarchical clustering
3. How hierarchical clustering works?
4. Distance measure
5. What is agglomerative clustering
6. What is divisive clustering
7. Demo: to group states based on their sales
Why learn Machine Learning?
Machine Learning is taking over the world- and with that, there is a growing need among companies for professionals to know the ins and outs of Machine Learning
The Machine Learning market size is expected to grow from USD 1.03 Billion in 2016 to USD 8.81 Billion by 2022, at a Compound Annual Growth Rate (CAGR) of 44.1% during the forecast period.
What skills will you learn from this Machine Learning course?
By the end of this Machine Learning course, you will be able to:
1. Master the concepts of supervised, unsupervised and reinforcement learning concepts and modeling.
2. Gain practical mastery over principles, algorithms, and applications of Machine Learning through a hands-on approach which includes working on 28 projects and one capstone project.
3. Acquire thorough knowledge of the mathematical and heuristic aspects of Machine Learning.
4. Understand the concepts and operation of support vector machines, kernel SVM, naive Bayes, decision tree classifier, random forest classifier, logistic regression, K-nearest neighbors, K-means clustering and more.
5. Be able to model a wide variety of robust Machine Learning algorithms including deep learning, clustering, and recommendation systems
We recommend this Machine Learning training course for the following professionals in particular:
1. Developers aspiring to be a data scientist or Machine Learning engineer
2. Information architects who want to gain expertise in Machine Learning algorithms
3. Analytics professionals who want to work in Machine Learning or artificial intelligence
4. Graduates looking to build a career in data science and Machine Learning
Learn more at www.simplilearn.com
This presentation gives the idea about Data Preprocessing in the field of Data Mining. Images, examples and other things are adopted from "Data Mining Concepts and Techniques by Jiawei Han, Micheline Kamber and Jian Pei "
DBScan stands for Density-Based Spatial Clustering of Applications with Noise.
DBScan Concepts
DBScan Parameters
DBScan Connectivity and Reachability
DBScan Algorithm , Flowchart and Example
Advantages and Disadvantages of DBScan
DBScan Complexity
Outliers related question and its solution.
Learning a nonlinear embedding by preserving class neibourhood structure 최종WooSung Choi
Salakhutdinov, Ruslan, and Geoffrey E. Hinton. "Learning a nonlinear embedding by preserving class neighbourhood structure." International Conference on Artificial Intelligence and Statistics. 2007.
tIt appears that you've provided a set of instructions or input format for a machine learning task, particularly clustering using K-Means. Let's break down what each component means:
(number of clusters):
This is a placeholder for an actual numerical value that represents the desired number of clusters into which you want to divide your training data. In K-Means clustering, you need to specify in advance how many clusters (K) you want the algorithm to find in your data.
Training set:
The "training set" is your dataset, which contains the data points that you want to cluster. Each data point represents an observation or sample in your dataset.
(drop convention):
It's not clear from this input what "(drop convention)" refers to. It could be related to a specific data preprocessing or handling instruction, but without additional context or information, it's challenging to provide a precise explanation for this part.
In summary, you are expected to provide the number of clusters (K) that you want to discover in your training data, and the training data itself contains the observations or samples that will be used for clustering. The "(drop convention)" part may require further clarification or context to provide a meaningful explanation.Clustering is a fundamental concept in the field of machine learning and data analysis that involves grouping similar data points together based on certain criteria or patterns. It is a technique used to discover inherent structures, relationships, or similarities within a dataset when there are no predefined labels or categories. Clustering is widely employed in various domains, including marketing, biology, image analysis, recommendation systems, and more. In this comprehensive explanation of clustering, we will explore its principles, methods, applications, and key considerations.
Table of Contents
Introduction to Clustering
Key Concepts and Terminology
Types of Clustering
3.1. Partitioning Clustering
3.2. Hierarchical Clustering
3.3. Density-Based Clustering
3.4. Model-Based Clustering
Distance Metrics and Similarity Measures
Common Clustering Algorithms
5.1. K-Means Clustering
5.2. Hierarchical Agglomerative Clustering
5.3. DBSCAN (Density-Based Spatial Clustering of Applications with Noise)
5.4. Gaussian Mixture Models (GMM)
Evaluation of Clusters
Applications of Clustering
7.1. Customer Segmentation
7.2. Image Segmentation
7.3. Anomaly Detection
7.4. Document Clustering
7.5. Recommender Systems
7.6. Genomic Clustering
Challenges and Considerations
8.1. Determining the Number of Clusters (K)
8.2. Handling High-Dimensional Data
8.3. Initial Centroid Selection
8.4. Scaling and Normalization
8.5. Interpretation of Results
Best Practices in Clustering
Future Trends and Advances
Conclusion
1. Introduction to Clustering
Clustering, in the context of data analysis and machine learning, refers to the process of grouping a set of data points into subsets,
본 논문에서는 분배형 강화학습(Distributional Reinforcement Learning)에서 벨만 다이내믹스를 통해 확률 분포를 학습하는 문제를 고려합니다. 이전 연구들은 각 반환 분포의 유한 개의 통계량을 신경망을 통해 학습하는 방법을 사용해왔으나, 이 방법은 반환 분포의 함수적 형태에 제한을 받아 제한적인 표현력을 가지며, 미리 정의된 통계량을 유지하는 것이 어려웠습니다. 본 논문에서는 이러한 제한을 없애기 위해 최대 평균 거리(Maximum Mean Discrepancy, MMD)라는 가설 검정 기술을 활용해 반환 분포의 결정론적인(의사 난수를 사용한) 표본들을 학습하는 방법을 제안합니다. 이를 통해 반환 분포와 벨만 타겟 간의 모든 모멘트(순간값)를 암묵적으로 일치시킴으로써 분배형 벨만 연산자의 수렴성을 보장하며, 분포 근사에 대한 유한 샘플 분석을 제시합니다. 실험 결과, 본 논문에서 제안한 방법은 분배형 강화학습의 기본 모델보다 우수한 성능을 보이며, Atari 게임에서 분산형 에이전트를 사용하지 않는 경우에도 최고 성적을 기록합니다.
We consider the problem of finding anomalies in high-dimensional data using popular PCA based anomaly scores. The naive algorithms for computing these scores explicitly compute the PCA of the covariance matrix which uses space quadratic in the dimensionality of the data. We give the first streaming algorithms
that use space that is linear or sublinear in the dimension. We prove general results showing that any sketch of a matrix that satisfies a certain operator norm guarantee can be used to approximate these scores. We instantiate these results with powerful matrix sketching techniques such as Frequent Directions and random projections to derive efficient and practical algorithms for these problems, which we validate over real-world data sets. Our main technical contribution is to prove matrix perturbation
inequalities for operators arising in the computation of these measures.
-Proceedings: https://arxiv.org/abs/1804.03065
-Origin: https://arxiv.org/abs/1804.03065
The amount of digital data in the new era has grown exponentially in recent years and with the development of new technologies, is growing more rapidly than ever before.
Nevertheless, simply knowing that all these data are out there is easily understandable, utilizing these data to turn a profit is not trivial.
The need of data mining techniques able to extract profitable insight information is the next frontier of innovation, competition and profit.
A data analytic services provider, in order to well-scale and exponentially grow its profit, has to deal with scalability, multi-tenancy and self-adaptability.
In big data applications, machine learning is a very powerful instrument but a bad choice regarding the algorithm and its configuration parameters can easily lead to poor results. The key problem is automating the tuning process without a priori knowledge of the data and without human intervention.
In this research project we implemented and analysed TunUp: A Distributed Cloud-based Genetic Evolutionary Tuning for Data Clustering.
The proposed solution automatically evaluates and tunes data clustering algorithms, so that big data services can self-adapt and scale in a cost-efficient manner.
For our experiments, we considered k-means as clustering algorithm, that is a simple but popular algorithm, widely used in many data mining applications.
Clustering outputs are evaluated using four internal techniques: AIC, Dunn, Davies-Bouldin and Silhouette and an external evaluation: AdjustedRand.
We then performed a correlation t-test in order to validate and benchmark our internal techniques against AdjustedRand.
Defined the best evaluation criteria, the main challenge of k-means is setting the right value of k, that represents the number of clusters, and the distance measure used to compute distances of each pair of points in the data space.
To address this problem we propose an implementation of the Genetic Evolutionary Algorithm that heuristically finds out an optimal configuration of our clustering algorithm.
In order to improve performances, we implemented a parallel version of genetic algorithm developing a REST API and deploying several instances in the Amazon Cloud Computing (EC2) infrastructure.
In conclusion, with this research we contributed building and analysing TunUp, an open solution for evaluation, validation and tuning of data clustering algorithms, with a particularly focused on cloud services.
Our experiments show the quality and efficiency of tuning k-means on a set of public datasets.
The research also provides a Roadmap that gives indications of how the current system should be extended and utilized for future clustering applications, such as: Tuning of existing clustering algorithms, Supporting new algorithms design, Evaluation and comparison of different algorithms.
PyData NYC 2015 - Automatically Detecting Outliers with Datadog Datadog
Monitoring even a modestly-sized systems infrastructure quickly becomes untenable without automated alerting. For many metrics it is nontrivial to define ahead of time what constitutes “normal” versus “abnormal” values. This is especially true for metrics whose baseline value fluctuates over time. To make this problem more tractable, Datadog provides outlier detection functionality to automatically identify any host (or group of hosts) that is behaving abnormally compared to its peers.
These slides cover the algorithms we use for outlier detection, and show how easy they are to implement using Python. This presentation also covers the lessons we've learned from using outlier detection on our own systems, along with some real-life examples on how to avoid false positives and negatives.
Learn more at www.datadoghq.com.
Locations are described with feature histograms based on surface orientation and smoothness, and loop closure can be detected by matching feature histograms.
Variable neighborhood Prediction of temporal collective profiles by Keun-Woo ...EuroIoTa
Temporal collective profiles generated by mobile network users can be used to predict network usage, which in turn can be used to improve the performance of the network to meet user demands. This presentation will talk about a prediction method of temporal collective profiles which is suitable for online network management. Using weighted graph representation, the target sample is observed during a given period to determine a set of neighboring profiles that are considered to behave similarly enough. The prediction of the target profile is based on the weighted average of its neighbors, where the optimal number of neighbors are selected through a form of variable neighborhood search. This method is applied to two datasets, one provided by a mobile network service provider and the other from a Wi-Fi service provider. The proposed prediction method can conveniently characterize user behavior via graph representation, while outperforming existing prediction methods. Also, unlike existing methods that utilize categorization, it has a low computational complexity, which makes it suitable for online network analysis.
Hanjun Dai, PhD Student, School of Computational Science and Engineering, Geo...MLconf
Graph Representation Learning with Deep Embedding Approach:
Graphs are commonly used data structure for representing the real-world relationships, e.g., molecular structure, knowledge graphs, social and communication networks. The effective encoding of graphical information is essential to the success of such applications. In this talk I’ll first describe a general deep learning framework, namely structure2vec, for end to end graph feature representation learning. Then I’ll present the direct application of this model on graph problems on different scales, including community detection and molecule graph classification/regression. We then extend the embedding idea to temporal evolving user-product interaction graph for recommendation. Finally I’ll present our latest work on leveraging the reinforcement learning technique for graph combinatorial optimization, including vertex cover problem for social influence maximization and traveling salesman problem for scheduling management.
Show drafts
volume_up
Empowering the Data Analytics Ecosystem: A Laser Focus on Value
The data analytics ecosystem thrives when every component functions at its peak, unlocking the true potential of data. Here's a laser focus on key areas for an empowered ecosystem:
1. Democratize Access, Not Data:
Granular Access Controls: Provide users with self-service tools tailored to their specific needs, preventing data overload and misuse.
Data Catalogs: Implement robust data catalogs for easy discovery and understanding of available data sources.
2. Foster Collaboration with Clear Roles:
Data Mesh Architecture: Break down data silos by creating a distributed data ownership model with clear ownership and responsibilities.
Collaborative Workspaces: Utilize interactive platforms where data scientists, analysts, and domain experts can work seamlessly together.
3. Leverage Advanced Analytics Strategically:
AI-powered Automation: Automate repetitive tasks like data cleaning and feature engineering, freeing up data talent for higher-level analysis.
Right-Tool Selection: Strategically choose the most effective advanced analytics techniques (e.g., AI, ML) based on specific business problems.
4. Prioritize Data Quality with Automation:
Automated Data Validation: Implement automated data quality checks to identify and rectify errors at the source, minimizing downstream issues.
Data Lineage Tracking: Track the flow of data throughout the ecosystem, ensuring transparency and facilitating root cause analysis for errors.
5. Cultivate a Data-Driven Mindset:
Metrics-Driven Performance Management: Align KPIs and performance metrics with data-driven insights to ensure actionable decision making.
Data Storytelling Workshops: Equip stakeholders with the skills to translate complex data findings into compelling narratives that drive action.
Benefits of a Precise Ecosystem:
Sharpened Focus: Precise access and clear roles ensure everyone works with the most relevant data, maximizing efficiency.
Actionable Insights: Strategic analytics and automated quality checks lead to more reliable and actionable data insights.
Continuous Improvement: Data-driven performance management fosters a culture of learning and continuous improvement.
Sustainable Growth: Empowered by data, organizations can make informed decisions to drive sustainable growth and innovation.
By focusing on these precise actions, organizations can create an empowered data analytics ecosystem that delivers real value by driving data-driven decisions and maximizing the return on their data investment.
Chatty Kathy - UNC Bootcamp Final Project Presentation - Final Version - 5.23...John Andrews
SlideShare Description for "Chatty Kathy - UNC Bootcamp Final Project Presentation"
Title: Chatty Kathy: Enhancing Physical Activity Among Older Adults
Description:
Discover how Chatty Kathy, an innovative project developed at the UNC Bootcamp, aims to tackle the challenge of low physical activity among older adults. Our AI-driven solution uses peer interaction to boost and sustain exercise levels, significantly improving health outcomes. This presentation covers our problem statement, the rationale behind Chatty Kathy, synthetic data and persona creation, model performance metrics, a visual demonstration of the project, and potential future developments. Join us for an insightful Q&A session to explore the potential of this groundbreaking project.
Project Team: Jay Requarth, Jana Avery, John Andrews, Dr. Dick Davis II, Nee Buntoum, Nam Yeongjin & Mat Nicholas
Explore our comprehensive data analysis project presentation on predicting product ad campaign performance. Learn how data-driven insights can optimize your marketing strategies and enhance campaign effectiveness. Perfect for professionals and students looking to understand the power of data analysis in advertising. for more details visit: https://bostoninstituteofanalytics.org/data-science-and-artificial-intelligence/
Adjusting primitives for graph : SHORT REPORT / NOTESSubhajit Sahu
Graph algorithms, like PageRank Compressed Sparse Row (CSR) is an adjacency-list based graph representation that is
Multiply with different modes (map)
1. Performance of sequential execution based vs OpenMP based vector multiply.
2. Comparing various launch configs for CUDA based vector multiply.
Sum with different storage types (reduce)
1. Performance of vector element sum using float vs bfloat16 as the storage type.
Sum with different modes (reduce)
1. Performance of sequential execution based vs OpenMP based vector element sum.
2. Performance of memcpy vs in-place based CUDA based vector element sum.
3. Comparing various launch configs for CUDA based vector element sum (memcpy).
4. Comparing various launch configs for CUDA based vector element sum (in-place).
Sum with in-place strategies of CUDA mode (reduce)
1. Comparing various launch configs for CUDA based vector element sum (in-place).
4. Background
• High dimensionality
• Irregular lengths
• Noise and time shifts
time (s)
variable
A time series is a collection of observations made sequentially in time.
15. Which Distance Measure to Use
• Type of the data
• Research questions
Criteria Euclidean DTW
Supports Time Series length differences No Yes
Supports Time Series time shifts No Yes
Computational costs Low High
29. Clustering
Clustering algorithm Distance measure Prototype
Partitional
K – means / K – medoid Euclidean / Manhattan Mean / PAM
TAD Pole DTW DBA
K – shape SBD Shape Extraction
Hierarchical Agglomerative All All
Clustering AlgorithmDistance
Measure
Prototype
N clusters
Time Series
Data
44. DTW
Right combination of distance measure & prototype
Conclusions
Clustering algorithm Distance measure Prototype
Partitional
K – means / K – medoid Euclidean / Manhattan Mean / PAM
TAD Pole DTW DBA
K – shape SBD Shape Extraction
Hierarchical Agglomerative All All
Editor's Notes
Provide quantification for the dissimilarity between two time-series
The classification of objects, into clusters, requires some methods for measuring the distance or the (dis)similarity between the objects
The term proximity is used to refer to either similarity or dissimilarity. Frequently, the term distance is used as a synonym for dissimilarity.
Variable for
Recent years have seen a surge of interest in time series clustering.
Data characteristics are evolving and traditional clustering algorithms are becoming less popular in time series clustering.
The most commonly used distance measures are only defined for series of equal length and are sensitive to noise, scale and time shifts
Thus, many other distance measures tailored to time-series have been developed in order to overcome these limitations; other challenges associated with the structure of time-series, such as multiple variables, serial correlation
each
Goal is to put them all together in clusters
Input in customer segmentation
Mention about chicken segmentation
Behavior based on purchases, bank transactions, energy, other utilities usage/consumption, social networks – who is connected to who
Hierarchy of classes dendrogram
Provide quantification for the dissimilarity between two time-series
The classification of objects, into clusters, requires some methods for measuring the distance or the (dis)similarity between the objects
The term proximity is used to refer to either similarity or dissimilarity. Frequently, the term distance is used as a synonym for dissimilarity.
https://en.wikipedia.org/wiki/Taxicab_geometry
The distance between two points measured along axes at right angles.
Also known as Manhattan length, rectilinear distance, Minkowski's L1 distance, L1 norm, taxi cab metric, snake distance, city block distance
Correlation measures are only useful if/when the relationship between attributes is linear. So if the correlation is 0, then there is no linear relationship between the two data objects.
http://cs.tsu.edu/ghemri/CS497/ClassNotes/ML/Similarity%20Measures.pdf
Be ready to explain pearson and spearman
When time series have different lengths
One of the most used measure of the similarity between two time series
Originally designed to treat automatic speech recognition
Optimal global alignment between two time series, exploiting temporal distortions between them
Designed especially for time series analysis
Ignore shifts in time dimension
Ignore speeds of two time series
How is it calculated?
When time series have different lengths
One of the most used measure of the similarity between two time series
Originally designed to treat automatic speech recognition
Optimal global alignment between two time series, exploiting temporal distortions between them
Designed especially for time series analysis
Ignore shifts in time dimension
Ignore speeds of two time series
How is it calculated?
https://www.datanovia.com/en/lessons/clustering-distance-measures/
For example, correlation-based distance is often used in gene expression data analysis.
Correlation-based distance considers two objects to be similar if their features are highly correlated, even though the observed values may be far apart in terms of Euclidean distance.
For most clustering package, Euclidean is default.
If we want to identify clusters of observations with the same overall profiles regardless of their magnitudes, then correlation-based distance
If correlation, Pearson’s correlation is quite sensitive to outliers
Commonly used in
gene expression data analysis
marketing, if we want to identify group of shoppers with the same preference in term of items, regardless of the volume of items they bought.
Hierarchy of classes dendrogram
Gamma is the optimization function.
A is the alignment function
Hierarchy of classes dendrogram
Hierarchy of classes dendrogram
Clusters are defines beforehand
Compute distance between point and centroids and keep the minimum
Predict For each data point calculate the distance from both centroids and the data point is assigned to the cluster with the min distance
Move centroids in the point where the is the mean distance so that they are in the center of the cluster
Compute distance between point and centroids and keep the minimum
Predict For each data point calculate the distance from both centroids and the data point is assigned to the cluster with the min distance
Move centroids in the point where the is the mean distance so that they are in the center of the cluster
Compute distance between point and centroids and keep the minimum
Predict For each data point calculate the distance from both centroids and the data point is assigned to the cluster with the min distance
Move centroids in the point where the is the mean distance so that they are in the center of the cluster
Hierarchy of classes dendrogram
Each character has each one cluster
Input = genetic code
Selma + Patty twins
Lisa + Merge mother and daughter (less similarity because the share genetic code with Homer Simpson)
Selma + patty sisters of Marge
Number of clusters and order of clustering
A: number of time series assigned to same cluster and belong to the same class
B: number of time series assigned to different cluster and belong to the different class
C: number of time series assigned to different cluster and belong to the same class
D: number of time series assigned to same cluster and belong to the different class
