Zavier Zhao
Matrix Operation for Stress Tensor
Suppose we define a 2-order stress tensor \(P_{ij}\), where \(i\) stands for scalar components constituting the vector and \(j\) represents the dimension. Giving a specific normalized direction \(n...
Understanding Lagrange Multiplier, KKT Condition and Dual Problem
Why Lagrange multiplier \(\lambda\) can work Let’s consider general multi-dimensional constrained optimization problems. To find the optimized point, one can start from where the constraint is sa...
Notes of ML Study for CNN Equivalence
Math derivation for a CNN problem Let’s consider the CNN operation: [\begin{aligned} \sum_j f_1(x) =& \sum_j \alpha_j A_j(x,x_j) := \sum_j \alpha_j A_j \sum_j f_2(x) =& \sum_j \beta_j B_...
Deep Learning Framework for Cloth Animation
Deep Learning Framework for Physics-based Cloth Simulation Physics-embedded NN structure for machine learning application in Computer Graphics cloth animation. Direct PBS features are encoded into...
threeJs Chinese Drogon Animation!
SPACE STYLE DRAGON SCENE ANIMATION A WebGL-based Chinese dragon animation with STL loader and GLSL shader imposed via Three.js. Project Link on GitHub Table of Contents Features Dependency...
Games Webinar Notes
Side Tips Insert below code into _layouts/default.html or _layouts/post.html to enable LaTex writing in Jekyll <script src="https://cdn.mathjax.org/mathjax/latest/MathJax.js?config=TeX-AM...
Deep RL for Fluid-Rigid Control
Deep-reinforcement-learning Controlled Fluid-Rigid Simulation A python-based ball-shooting game of fluid-rigid simulation and autonomous control via Deep Reinforcement Learning. Project Link on G...
Notes and Derivations for DRL Algorithm
1 Policy Evaluation 1.1 Monte-Carlo Estimation Recall that \(R_t(h)=R(s,a)|_t+\gamma\cdot R(s,a)|_{t+1}+\dots+{\gamma}^{H-t-1}\cdot R(s,a)|_{H-1}+{\gamma}^{H-t}R(s,a)|_H\) \(~~~~~~~~~~=\sum_{\tau...
GLSL Shader Programming with OpenGL
GL Rendering A c++ OpenGL rendering practice, including various shaders, GLSL programming, illumination models; transparency, shadows; modeling, heterogeneous textures; camera and motion. Project...
Self-built Ubuntu Server
Self-built Ubuntu Server You might as well refer the link BV1554y1n7zv, but below are some notifications: 1.Enter the installation through Safe GUI 1.When parting the disk, use four partitions: ...