Kevin Doran
Visualizing Matrix Multiplication
Whenever I come across a matrix multiplication, my first attempt at visualizing it is to view the multiplication as:
multiple objects, combined together, many times
Matrices are usually carrying a list of objects, with each object represented by a row or column of the matrix. Inspecting how matrices behave by looking these objects can be an effective way to understand what an author is trying to communicate when they use matrices.
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Experiment 1.1.1
Creating an orange vs. brown dataset.
Concept
This page is a scrapbook of ideas for the project. Color and neural networks I’m hoping I can stumble on a better description of human color perception by trying to answer the question: What can be said about the relationship between neural networks for vision and human color perception? In many ways, this question has issues. The topic of human color perception is the subject of deep unanswered questions. Color is a property of our mind, an appearance in consciousness and I am currently of the belief that we won’t get a satisfying answer to the question what is color?
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Matrix Mnemonics
Reading matrix notation is burdened by the trivial things like rows being indexed before columns. An author can be trying to communicate something simple, yet the reader's cognitive load can be high as they unpack the matrix notation.
Here, I'm experimenting with ways to make matrix notation more memorable.
Indexing There is no fundamental reason why rows should appear before columns in matrix indexing. It's just a convention to be remembered.
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Supermarket Sake
A brief list of sake bought from supermakets.
Taste: yum. Bought in Tairaya. (~¥450).
Didn"t like. Also a bit more expensive (~¥550).
Taste: yum, fruity. Maybe my favourite at the time of writing. Bought in Tairaya. Cheaper. (~¥350).
Didn"t like. Very savoury. Maybe it goes well with something else. 350円.
Tasty, fruity. A bit more ethanol taste compared the previous fruity one (I do not have the vocabulary for this task).
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Covariance matrix and estimation
\( \newcommand{\cat}[1] {\mathrm{#1}} \newcommand{\catobj}[1] {\operatorname{Obj}(\mathrm{#1})} \newcommand{\cathom}[1] {\operatorname{Hom}_{\cat{#1}}} \newcommand{\multiBetaReduction}[0] {\twoheadrightarrow_{\beta}} \newcommand{\betaReduction}[0] {\rightarrow_{\beta}} \newcommand{\betaEq}[0] {=_{\beta}} \newcommand{\string}[1] {\texttt{"}\mathtt{#1}\texttt{"}} \newcommand{\symbolq}[1] {\texttt{`}\mathtt{#1}\texttt{'}} \newcommand{\groupMul}[1] { \cdot_{\small{#1}}} \newcommand{\groupAdd}[1] { +_{\small{#1}}} \newcommand{\inv}[1] {#1^{-1} } \newcommand{\bm}[1] { \boldsymbol{#1} } \require{physics} \require{ams} \require{mathtools} \) Math and science::INF ML AI Covariance matrix and estimation Yet another card on covariance and covariance matrices.
There is a good card on covariance, which I recap here:
Covariance is a real that gives some sense of how much two variables are linearly related to each other, as well as the scale of these variables.
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Covariance matrix and estimation (answer)
\( \newcommand{\cat}[1] {\mathrm{#1}} \newcommand{\catobj}[1] {\operatorname{Obj}(\mathrm{#1})} \newcommand{\cathom}[1] {\operatorname{Hom}_{\cat{#1}}} \newcommand{\multiBetaReduction}[0] {\twoheadrightarrow_{\beta}} \newcommand{\betaReduction}[0] {\rightarrow_{\beta}} \newcommand{\betaEq}[0] {=_{\beta}} \newcommand{\string}[1] {\texttt{"}\mathtt{#1}\texttt{"}} \newcommand{\symbolq}[1] {\texttt{`}\mathtt{#1}\texttt{'}} \newcommand{\groupMul}[1] { \cdot_{\small{#1}}} \newcommand{\groupAdd}[1] { +_{\small{#1}}} \newcommand{\inv}[1] {#1^{-1} } \newcommand{\bm}[1] { \boldsymbol{#1} } \require{physics} \require{ams} \require{mathtools} \) Math and science::INF ML AI Covariance matrix and estimation Yet another card on covariance and covariance matrices.
There is a good card on covariance, which I recap here:
Covariance is a real that gives some sense of how much two variables are linearly related to each other, as well as the scale of these variables.
Read more...
キャンパス食堂
このごろ、大学のキャンパスに行く制限が解除された。
確かに、研究室の同級生に会いたいが、憧れは食堂で食べることだ。
目的地
昨日、間違った駅で下車してしまった。
次の列車を待っていて、ホームから広場の反対側にスシローの看板が見えた。
そして駅を出て、半端な時間にご飯を食べた。
水曜の高尾
もう水曜日の夜だ。 3日間は3秒で終わった気がする。 今週のやる事リストはまだ書いてない。 充実した生活はいつ乱れたのだろう。 原因は何? 今週は高尾山に登って、失くしたやる気を探していた。 自然の中を歩くことが、私にとって幸せの定義の一部だ。 しかし、幸せとやる気は関係ない時もあると思う。 この日記を書くことで、心の中何か動かす兆しだったら良い。 復活したい。
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