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Author Archives: czxttkl
Add permanent key bindings for Jupyter Notebook
This post shows how to add customized permanent key bindings for jupyter notebook. 1. check the location of your jupyter config folder using the command: sudo ~/.local/bin/jupyter –config-dir I am running Ubuntu. The config folder, by default is, `/home/your_user_name/.jupyter` 2. Create a folder `custom` in the config folder. 3. Create a file `custom.js` in the …
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Adaptive Regularization of Weight Vectors — Mathematical derivation
In this post I am showing my understanding about the paper Adaptive Regularization of Weight Vectors: http://papers.nips.cc/paper/3848-adaptive-regularization-of-weight-vectors.pdf The paper aims to address the negatives of a previous algorithm called confidence weighted (CW) learning by introducing the algorithm Adaptive Regularization Of Weights (AGOW). CW and AGOW are both online learning algorithms, meaning updates happen after observing each …
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Math Derivation for Bayesian Probabilistic Matrix Factorization Model
In this paper I am trying to derive the mathematical formulas that appear in the paper Bayesian Probabilistic Matrix Factorization using Markov Chain Monte Carlo. We will use exactly the same notations as in the paper. The part that I am interested in is the Inference part (Section 3.3). Sample $latex U_i$ In Gibbs sampling, …
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Estimate best K for K-Means in parallel
Gap statistic is often used to determine the best number of clusters. Please see a local version implementation for gap statistic here: https://github.com/echen/gap-statistic. It is often desired to parallelize such tedious job to boost the speed. I implement a parallelized version basd on the source code: library(plyr) library(ggplot2) # Calculate log(sum_i(within-cluster_i sum of squares around cluster_i …
How to make multi-lined cells in table in Latex?
Use package `makecell`. http://tex.stackexchange.com/a/176780/76654
How to make match prediction using TrueSkill?
TrueSkill [1] is a widely accepted algorithm for matchmaking, in which player skills are initialized with a random variable following Gaussian distribution and then get updated through team-based match outcomes. Eventually, with sufficient amount of matches, player skill random variables will converge to some means with very small variance. There are multiple open sourced libraries …
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Optimization Overview
In this post, I am summarizing all I know for optimization. It is a hard, primary problem once you define your model with some kind of objective function integrating a bunch of parameters and you start to wonder how you could learn the values of those parameters to minimize (or maximize) the objective function. Unconstrained Optimization …
Leetcode 202: Happy Number
https://leetcode.com/problems/happy-number/ Write an algorithm to determine if a number is “happy”. A happy number is a number defined by the following process: Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops …
Leetcode 143: Reorder List
https://leetcode.com/problems/reorder-list/ Given a singly linked list L: L0→L1→…→Ln-1→Ln,reorder it to: L0→Ln→L1→Ln-1→L2→Ln-2→… You must do this in-place without altering the nodes’ values. For example,Given {1,2,3,4}, reorder it to {1,4,2,3}. Code # Definition for singly-linked list. # class ListNode(object): # def __init__(self, x): # self.val = x # self.next = None class Solution(object): def reorderList(self, head): …