Computational Game Theory- From Formulation to Equilibrium

game theory nash equilibrium potential games mechanism design

A concise treatment of computational game theory — deriving key equilibrium concepts from first principles, with worked examples and practical connections to multi-agent coordination.

01 January 2026

Parallel Programming Notes (OpenMP, MPI, CUDA)

parallel computing OpenMP MPI CUDA GPU

Personal notes from a full parallel programming lecture sequence, from performance basics to distributed memory and CUDA.

15 August 2025

Lie group and lie algebra for robotics

lie group matrix lie algebra

SE(2) is the Special Euclidean group in two dimensions, and it’s fundamental in robotics, control, and computer vision for describing rigid-body motions (translations + rotations) in a 2D plane.

12 August 2025

Adaptive, Optimal, Robust, and Learning Control

control theory adaptive control optimal control robust control reinforcement learning LQR MPC

An advanced control note organized around lemmas, theorems, proof sketches, and applications, linking adaptive control, optimal control, robust control, and the role of reinforcement learning in feedback systems.

10 May 2025

Numerical Linear Algebra and Optimization Notes

numerical linear algebra optimization scientific computing

Structured notes following a full syllabus from mathematical foundations to convergence theory.

15 January 2025

How to Build Your Retrieval-Augmented Generation (RAG)

RAG LLM NLP

A practical and detailed guide to RAG, covering fundamentals, data preparation, retrieval pipelines, and evaluation methods for building reliable domain-specific LLM applications.

01 January 2025

Category Theory for Programmers - From Composition to Monads

category theory functional programming monads functors

A long-form guide based on the Uppsala University Category Theory for Programmers reading list, expanded into a continuous path from composition and types to Yoneda, adjunctions, and monads.

31 December 2024

connect airpods in Ubuntu 22.04 LTS

bluetooth airpods ubuntu

Fix the error happened when qqmusic new installed, probably because of high resolution of screen

25 October 2024

rendering and control of Nova5 arms with robotiq 2F85 gripper within Isaac Sim 4.2

Isaac Sim Nova5 robotiq Simulation

Find a way to have graphical output from the ssh server in Windows 10 wsl2

07 October 2024

Network Science Notes

network science complex systems graph theory epidemic modeling

Personal technical notes on propagation, clustering, inference, temporal graphs, and applications to multi-robot systems.

01 October 2024

Forwarding Graphics to SSH Client in WSL2 with VcXsrv Success!

SSH WSL2

Forward the graphical output from ssh server to wsl2 in windows 10

17 September 2024

qq音乐linux报错

qqmusic linux

Fix the error happened when qqmusic new installed, probably because of high resolution of screen

03 July 2024

Indentation of Nested Expendable Sections

Markdown HTML

Implementation of nested collapsable sections with indentation, which I try to make the nested lists in posts look great.

13 June 2024

Ethical Principles

Ethics Lab

Ethics fetched from the lab manual by deleting the confidential information. It serves as an examination of the doctoral course "Research Ethics for Science and Technology," which I took in the year 2024.

13 June 2024

Distributed Systems Notes

distributed systems parallel computing many-core real-time systems NoC CAN TSN

A dense exam-oriented note connecting threads, processes, many-core architecture, and real-time distributed communication.

12 May 2023

Topics in Nonlinear Systems

control theory nonlinear systems Lyapunov stability feedback linearization backstepping sliding mode ADRC fuzzy control

A nonlinear-control note centered on Lyapunov geometry, local and global behavior, gain scheduling, dynamic inversion, backstepping, sliding mode, bang-bang control, fuzzy control, and active disturbance rejection.

18 March 2023

Reinforcement Learning Notes From MDP to RLHF and MARL

reinforcement learning RLHF MARL

In-depth notes from AI foundations extended to modern deep RL, RLHF, and multi-agent reinforcement learning.

21 October 2022

Micro-Fabrication Notes for MEMS Engineers

MEMS microfabrication lithography etching deposition SOI

A practical, process-first guide to MEMS microfabrication, from wafer to released device — with process physics, worked examples, and design tradeoffs.

08 October 2022

Electronics Notes - Devices, Circuits, Systems, and Implementation

electronics analog digital power-electronics emc rf sensors adc dac fpga pcb packaging

A system-level electronics note linking device physics, circuit design, embedded implementation, and hardware reliability.

31 December 2021

Data Mining

data mining graph mining clustering recommender systems representation learning

Personal notes synthesized for data mining, graph mining, link analysis, clustering, and latent representations.

30 November 2021

Signals & Systems — From Time Domain to Spectral Thinking

signals systems LTI convolution Fourier Laplace Z-transform sampling filtering FIR IIR DSP stochastic processes

A course-level treatment of continuous-time and discrete-time signals and systems — covering time-domain analysis, frequency-domain transforms, analog and digital filter design, DSP implementation, and stochastic signal processing.

12 December 2020

Modern, Multivariable, and Networked Control

control theory modern control state space multivariable control networked control MPC LQG H-infinity graph theory

A merged modern-control note covering state-space modelling, controllability and observability, observers, MIMO systems, LQG and MPC, robust multivariable control, and graph-theoretic multi-agent coordination.

18 August 2020

Fluid Dynamics Notes

fluid dynamics aerodynamics compressible flow thermofluids combustion

Consolidated notes from fluid mechanics and aerodynamics — from statics and Bernoulli to airfoil theory, compressible shocks, nozzle design, and combustion engines, with derivations and physical reasoning.

08 August 2020

Data Structures and Algorithms Notes

data structures algorithms sorting graph algorithms dynamic programming complexity

A structured DSA note covering core data structures, graph algorithms, dynamic programming, greedy methods, and complexity tradeoffs.

06 June 2020

Mechanics Notes - Statics, Dynamics, Mechanics of Materials, and Mechanical Design

mechanics statics kinematics dynamics mechanics-of-materials vibration shafts bearings springs gears brakes clutches machine-design

A course-level mechanics and mechanical design note linking force analysis, motion, material response, vibration, and machine element selection into one practical workflow.

18 December 2019

Thermal Dynamics and Thermodynamic Physics

thermodynamics heat transfer thermofluids statistical physics transport phenomena

Master-level notes connecting thermodynamics, heat transfer, statistical physics, phase change, exergy, and continuum transport.

01 October 2019

Materials Engineering Notes — Structure, Properties

materials science crystal structure FCC BCC HCP doping semiconductors phase diagrams fracture corrosion composites biomaterials

A course-level treatment of materials science and engineering — from atomic bonding and crystal lattices (FCC, BCC, HCP) through defects, doping, phase transformations, deformation, fracture, and real-world material systems.

09 August 2019

Manufacturing Notes - Process Science, Production Systems, and Engineering Decisions

manufacturing process engineering solidification casting sheet-metal-forming welding composites ceramics biomaterials quality automation additive manufacturing

A deep and practical guide to manufacturing from raw resources to reliable products, with process physics, quality control, and production decision logic.

21 June 2019

Control Theory Basics

control theory system modelling feedback control transfer function stability root locus frequency response PID state-space

A course-style introduction to control built around system models, dynamics, stability analysis, feedback, classical design, and the bridge to state-space and nonlinear control.

18 May 2019

Dummy Posts

ignore me

Minimalism is the art of knowing how much is just enough. Digital minimalism applies this idea to our personal technology. It’s the key to living a focused life in an increasingly noisy world.

20 February 2019

C++ Premier

c++ pointers memory stack heap RAII concurrency threads mutex semaphore IO templates STL

A course-level C++ reference — covering the type system, pointers, stack vs heap, dynamic memory and RAII, OOP, templates, STL, I/O-bound vs CPU-bound design, threading, synchronization (mutex, semaphore, condition variables), and modern best practices.

06 June 2018