Here are some of my homework done in class. Those contents are chronically ordered. Many of my undergraduate homeworks are in Chinese, particularly group projects. But those written individually by myself are usually in English. Those homeworks’ quality are not very stable, depending on my time and attention dedicated to the course.
All homework demonstrated here were finished by myself and myself only if not specified. I’m fully responsible for the commitment to honesty, independence and reproducibility of all those. Although careless typos and stupid mistakes can be found easily in my homework, violation of academic principles has never been in them, and they will never be.
I’m not responsible for any outcomes for usage of those contents, be aware and expected to find mistakes in those contents.
If you have any questions about the materials or found any errors, feel free to contact me through email, which you can find at the bottom of this webpage.
2020 Fall
Functional analysis
- Lecturer: Jiaqing Yang
- Institute: Xi’an Jiaotong University
- Grade: Not available yet
-
English
Metric space
andconvergence
. pdfCompleteness
,compactness
andSobolev embeddings
. pdfBanach's theorem
andFredholm equation
. pdfprojections
,Banach space
andPoincare inequalities
. pdfInner product space
,Hilber space
andOrthogonal decomposition
. pdfBasis
andOperator norm
. pdfHahn-Banach theorem
,Riesz representation theorem
andLax-Milgram theorem
. pdfGeometric form of Hahn-Banach theorem
. pdfDual Space
andAdjoint Operator
. pdfWeak convergence
pdf- We also had some homework on the spectrum of linear operators and Fredholm operators related, but I didn’t wrote latex for that.
Statistical consultary
- Lecturer: Xuehu Zhu
- Institute: Xi’an Jiaotong University
- Reference book: Lecture notes
- Grade: Not available yet
The reports are all in Chinese and the code written are basically without much comments. But by running the code, you do reproduce what we did.
- Homework on
generalized linear model
andasymptotic normality for parameter estimation in parameterized non-linear model
. Collaborated with Shaokang Zu. - Homework on
principle component analysis
andfactor model
. Collaborated with Shaokang Zu. - Homework on
non-parametric density estimation
andnon-parametric regression
. Collaborated with Shaokang Zu. - Final report on
optimality
.
Big data analysis
- Lecturer: Junmin Liu, Qian Zhao
- Institute: Xi’an Jiaotong University
- Reference book: Lecture notes
-
Grade: Not available yet
- Final report on
Spectral Net
(Joint with Zehao Wang, Chenghang Wang and Yufei Yan). pdf
High-dimensional inference
- Lecturer: Xuehu Zhu
- Institute: Xi’an Jiaotong University
- Reference book: Lecture notes
- Grade: Not available yet
2020 Spring
Machine learning
- Lecturer: Deyu Meng
- Institute: Xi’an Jiaotong University
- Reference book: Lecture notes
- Grade: 93/4/A
These works were jointly done in a group of three with Zehao Wang and Chenghang Wang. We had a good time together and personally I appreciate this pleasant collaboration experience. Collaborators: Zehao Wang, Chenghang Wang
Overview of ML
anddifferent approach comparing to statistics
. pdfSEIR
model on pandemic modelling. pdfCNN
,transfer learning
andvisualization for training of convolution layers and extracted features
. pdfBoosting
andSVM
. pdfUnsupervised learning
,k-means
,fuzzy c-means
andkernel fuzzy c-means
. pdfVisualization of GAN training
. pdf
Data analysis and R(Chinese)
- Lecturer: Chunxia Zhang
- Institute: Xi’an Jiaotong University
- Grade: 97/A/4.0
- Chinese
Reports are in Chinese because it was required.
basic sample statistics
. pdflinear regression
. pdfANOVA
andstatistical inference
. pdfPCA
andCanonical analysis
. pdfClassification analysis
, includingLDA
. pdf
Elements of biological statistics
- Lecturer: Hongying Zhang
- Institute: Xi’an Jiaotong University
- Grade: 92/A/4.0
-
English
- Basic
visualization
. pdf EM algorithm
. pdfChi-sqaure independence test
,McNemar test (exact and normal)
andFisher exact test
with biological data. pdfWilcoxon signed rank test (normal and exact)
andWilcoxon rank-sum test (normal and exact)
with biological data. pdfRandom and fixed effect ANOVA
with biological data. pdf
Optimization(Chinese)
- Lecturer: Hui Li
- Institute: Xi’an Jiaotong University
- Grade: 89/A-/3.7
- Chinese
This homework set contains many handwritten ones. I do not enjoy any reputation of good calligraphy, so be prepared while you read them.
convexity
,descend direction
andoptimality
. pdfLinear programming
andsimplex
. pdfLinear search
,Goldstein and Wolfe principle
andspeedy descend
. pdfNon-restricted optimization
. pdfQuadratic programming
. pdfLinear search
.
2019 Fall
Mathematical statistics
- Lecturer: Mayya Zhilova
- Institute: Georgia Institute of Technology
- Grade: A/4.0
- English
Somehow there was only one homework for this class.
Stochastic processes
- Lecturer: Lutz Warnke
- Institute: Georgia Institute of Technology
- Grade: A/4.0
- English
2017 Fall-2019 Spring
Only the following homeworks are available
- Mathematical analysis (first semester out of three)
- Advanced algebra (first semester out of two)
I was using electronic homeworks at first. However, I switched back to hand-written ones after the first semester. Those early contents are hand-written in Chinese, parts of them are here OneNote.