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Summary RMT2004: Data Analysis & Modelling of Biosystems

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I passed this course with a 9.3! This document contains all lecture notes as well as the notes from the practical skill sessions. In addition, it includes my own summary of machine learning, providing an overview of the key classifiers and regressors. Finally, the document contains a good summary of all chapters recommended for the mathematical foundations of this course.

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RMT2004 Data Analysis & Modelling of Biosystems

Lecture 1 Introduction to data analysis and modelling
Why are biological systems complicated?? Biological processes occur simultaneously
at different scales (at different scales processes are happening) -> a lot of complexity!

- Human -> bigger level (social networks)

Large number of components -> large number of processes/interactions (in each cell
you have complex behavior)

Processes/interactions of biological systems are often non-linear!

Linear process = more you invest, more refund (this is never the case in biological
systems)

Non-linear process = more you put on, not the more comes out

➔ Growth is for example a non-linear process!

We cannot apply the principle of superposition to non-linear processes!

- In a linear system, we can analyze the system piece by piece and then add the
pieces together!




Principle of Superposition: For a linear system, the response caused by two or
more independent inputs is the sum of the individual responses caused by each
input acting alone.
- In non-linear systems, we cannot investigate the separate components as we
might destroy the properties emergent from the interactions (“emergent
behavior” – see later!)

How to approach this complexity?

1. Data-driven: no assumptions, purely based on data (try to find the best relation
between input and output) = black box (better quality, but no understanding)
2. Mechanistic modelling: trying to describe underlying biological mechanisms
based on assumptions. (trying to understand the underlying phenomenon) =
white box (we want to understand the underlying process)

Machine learning = definition Arthur Samuel = field of study that gives computers the
ability to learn without being explicitly programmed.

, ➔ Learns by itself given data (not programming, not: when this ...., do this)

Tom Mitchell’s definition = machine learning = well posed learning problem: a computer
program is said to learn from experience E with respect to some task T and some
performance measure P, if its performance on T, as measured by P, improves with
experience E.

➔ Self-driving car: stop at red light (T), did it stop (P), driving around (E)
➔ Netflix algorithm: predicting what to watch (T), how often do you click what it
recommends to you (P), watch list(E)
➔ Trading stock (T), how much profit do I make (P), all trades(E)

Difference Machine learning and programming!!!!

➔ In traditional programming, a programmer writes explicit rules for how a system
should behave in different scenarios. The system follows these predefined rules
to produce outputs. In contrast, machine learning allows a system to learn
patterns from data without being explicitly programmed for every possible
situation.

Classes of machine learning problems (see examples mentioned during lecture)

- Classifications
- Regression
- Recommender systems

Classification = methods for the categorization of objects of situations into distinct
classes.

Regression = methods for the prediction of continuous variables

Recommender systems = systems for the recommendation of objects out of the set of
all available objects, which the user is most likely to be interested in. (not used in
Regenerative Medicine!)

➔ Item based (which item is similar to this item)
➔ User based

Categories of Machine learning

- Supervised
- Unsupervised
- Reinforcement learning

Supervised : receive input data and corresponding output data. Goal is to learn a
mapping from input to output (how to get from data to output). Output can be class
labels (classification) or real numbers (regression)

, Unsupervised: no output data present. Goal of the learning algorithm is to find structure
in the input data. Example: analysis in social media.

Reinforcement learning: system interacts with a dynamic environment, to reach a goal.
System receives feedback (rewards/punishment) for acts in environment, possible with
a delay.

Tools:

- Statistics
- Linear algebra
- Optimization theory

Data

- Small
- Big data:
• Volume – size of data
• Variety – different file types, sources and formats
• Velocity – speed, with which new data arrives
• Veracity – varying trustworthiness and quality of data/data sources
➔ All 4 needed to have big data
➔ Problems in big data thus often data preparation and afterwards machine
learning on small(ish) data.

RMT -> mostly small data: relatively small, one data source, complete data sets, high
quality data

What’s the data like?

- One data point Sample
- Described by attributes – value pairs, called Features (qualitative and
quantitative features)
- All samples in data set should have the same features.

Qualitative features (nominal/categorical)

- Observed value belongs to one of several classes
- No ordering of these classes
- Examples : occupation
- Can check for equivalence
- <,> not possible
- Should not be presented as numerical values!

We can also have qualitative features on ordinal scale

➔ Representation with arbitrary number

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