Jingbiao's Blog

「Hinc lucem et pocula sacra」

3F3 Statistical Signal Processing Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Full notes can be viewed over here: rendered version and LaTex Source Code Markov Chain Proof of Markov Property...

Posted by Jingbiao on April 10, 2021, 2 minutes to read

3F1 Signals ad Systems Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Transfer Function for discrete system: For a system to have a transfer function, it has to be linear and time...

Posted by Jingbiao on April 10, 2021, 6 minutes to read

3E3 Risk Management Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Markov Chain State Transition Matrix Stationary distribution Properties: Classes: a set of states c...

Posted by Jingbiao on April 10, 2021, 4 minutes to read

3G5 Biomaterial Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Definition/Conceptual of Medical Devices Biocompatibility In terms of bio-safety: The medical device does not cau...

Posted by Jingbiao on April 9, 2021, 6 minutes to read

3G4 Medical imaging Tripos Revision

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \) Medical Imaging Ultrasonic Scan The ultrasound machine is calibrated with a constant speed. If speed mismatch, the...

Posted by Jingbiao on April 9, 2021, 2 minutes to read

Logistic Classification Comparing ML/MAP/Bayesian approches

With PCA and logistic regression

\( \require{amstext} \require{amsmath} \require{amssymb} \require{amsfonts} \newcommand{\eg}{\textit{e}.\textit{g}.} \newcommand{\xb}{\mathbf{x}} \newcommand{\yb}{\mathbf{y}} \newcommand{\xbtn}{\ti...

Posted by Jingbiao on March 14, 2021, 3 minutes to read

Tumor prediction by gene expression level

With PCA and logistic regression

Introduction In this coursework, principal component analysis is used to separate a very high dimensional medical dataset of ~ 20,000 genes as input features and 5 type of tumor as output features....

Posted by Jingbiao on March 12, 2021, 9 minutes to read

Simplex Algorithm for Linear Constrained Optimisation problems

3M1 optimisation review

Simplex Algorithm Simplex Algorithm is used to do linear programming and find the solution to a constrained optimization problem. Important concepts here: basic / non-basic variable, pivoting / ent...

Posted by Jingbiao on March 10, 2021, 2 minutes to read

Training Perturbation in Pytorch

Problems require to be fixed

The aim is to add noise during training of the network. For example: 1 2 3 with torch.no_grad(): for param in model.parameters(): param.add_(torch.randn(param.size()) * 0.1) However,...

Posted by Jingbiao on February 28, 2021, 3 minutes to read

Travelling after Covid

In memorial of the trip to Morocco Easter 2019

Posted by Jingbiao on February 20, 2021, Less than 1 minute to read

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Second year PhD at University of Cambridge.

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