
Mathematics Undergrad @ChalmersUniv🇸🇪🦀 Digital Economics | Ai | Seamless Global Systems
Joined May 2015
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要学好微积分和线性代数
归根结底一切高级的数学都是微积分和线性代数的各种变化
—— 这是中科院院士林群对丘成桐一些观点的提炼
林群原话:大学的数学则最主要是微积分加上线性代数,因为一切东西都是微积分和线性代数的变形。所以,我们如果把微积分和线性代数讲清楚了,那大学数学乃至整个数学就比较有谱了
在清华大学求真书院的座谈中:丘成桐多次明确告诫学生,要“深入学习微积分和线性代数”,打好基础才能支撑高阶课程
在评价基础教育与高考改革时: 丘成桐也曾公开直言:“微积分是所有科学包括数学的基础,不懂微积分就等于很多东西都不懂”,并指出“所有数学课程中微积分与线性代数最重要”
这句话是否很准确已不是那么重要,不用太纠结其严谨性
重要是微积分和线性代数是基础,这是共识,努力学习就好了
Math Major | Daily Diary D0066
Did a minor touch-up of my website:
cryptopatrick.com/
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Math Major | Daily Diary D0065
Has anyone read this book - was it worth picking up?
quantabooks.org/books/the-pr…
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Math Major | Daily Diary D0065
🔬 I've been experimenting with Bend all week and I'm having a great time exploring the language.
⚙️ I think that a language that promotes parallelization as a "first class" citizen is interesting - central bottleneck theory, the challenges of decision coordination in parallel processing, and sequential evidence accumulation are all areas that I'm looking at atm.
🚡 The value of parallelism in an AI context seems to depend on the independence of information, not how well work is divided up between threads. Bend provides, among many things, a fun and exciting technology with which to explore these questions.
📦 I don't have access to a massive GPU cluster, so my Mac M2 GPU will have to do. This week I'm hoping categorize work that is better sent to Bend, and work that is isn't.
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Math Major | Daily Diary D0064
Worked a bit on my website today.
Visitor stats confirm it - I'm going global, baby?
Nevermind the fact that I'm only averaging 7 visitors per day lol.
To my visitors from China, the US, and other countries: thank you so much for blessing me with your visits.
I will double my efforts and try to make the website worth your time. 😀
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Math Major | Daily Diary D0063
📢 Update: I haven't heard back from Prover.com despite mailing a follow-up email to my application.
😕 I'm clearly a little bit disappointed - I poured a lot of energy into my application - but that's just the part of the internship/job application game ig. 🤷♂️
🔬 I'm going to continue to focus on my undergrad degree, look for a part-time job, and read/think/build/write as much as possible.
🧗♂️ Further to follow.
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I once dreamed about becoming a writer.
My parents said "No!".
Tried my hand at writing fiction, for the first time, last year - in the form of this short story "The Time Lock".
It sucks.
So, I guess my parents were right :D
Anyway, back to math hw.
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Math Major | Daily Diary D0061
Over the last two days I have spent time with Bend2.
Coming from Rust and Python, my first step was to try and get a sense of two things:
1. Is Bend something which I have a use for in the immediate or long-term future?
2. What's the bare-bones syntax and concetps that I need to master in order to place Bend in my "Hey, maybe we could use Bend for this?" mental toolbox.
Now, Rust is blazing fast, but it's not a native in the parallel dimension - we need Rayon for that.
So, the question becomes - do I know how to identify and leverage a language like Bend to alleviate hotpaths in my code bases.
Well, turns out - I don't. Which is great. Because it gives me a great reason to learn Bend and work with it.
My first mini-project has been to write a profiler with the specific focus on identifying not any hotpath but ones where it seems possible to divvy up the workload in ways suitable for Bend and GPUs.
I wanted to share the Bend2 tutorial by Ivo Balbaert, because I had trouble finding a good tutorial myself.
I'm just a poor student, so I don't have a GPU cluster at the ready to run my noobie Bend code on - but! I was thrilled to see that Bend2 supports Apple Silicon GPUs (M1, M2, M3, M4 and newer) through Apple's Metal backend. Very cool!
My only gripe is that the geniuses over at @AnthropicAI have made coding so much fun that I'm blazing through my $20 sub in no -time, and then have to sit around and wait until the session resets.
On the other hand - waiting for session resets is perfect for doing my math homework, exam prep, write essays, read papers, hand code Rust old school style, and read lots of books.
Further to follow!
github.com/Ivo-Balbaert/Bend…
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Math Major | Daily Diary D0060
1. Find the joy in what you do
2. Put in consistent hard work
3. Embrace precision
4. Remove clutter
5. Question legacy
6. Think BIG!
7. Attack hard problems
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Math Major | Daily Diary D0060
📎 It's getting harder and harder to remind myself that we're just dealing with regular computer programs; declarations, assignments, operations, for loops, and conditionals - nothing else.
🖇️ I spoted a PhD recruitment post for *Rational ML*, and thought "rational intelligence"? That's highly subjective - how would you model rationality and implement it in a computer program?
Very interesting, indeed.
📌 Here's a list of words from the ad, which hint at AI researchers increasingly sourcing ideas from; neuroscience, psychology, behavioral and cognitive science - to expand the abilities of a conditional for loop hooked up to a transformer nn:
Rationality
Preference
Choice
Cognition
Metacognition
Trustworthiness
Decision
Uncertainty
Causality
Incentives
Coherent
Inference
Calibration
Abstention
Faithfulness
🤝 At the center of all this, I guess we find the ambition to improve productive human-ai collaboration.
🔭 At the periphery of all this, I think we'll find a sobering realisation - without a rich and constantly updating world model, scaling collaboration with AI is going to hinge on the 🐱 and 🐭 game of identifying edge cases which turn out to be cornerstones - or, another way to phrase that:
🤬"Man, this AI is stoopid.
It just doesn't *get* it.".
Rational Intelligence - I hope my actions manifest those glorious words today, when I place my order at the coffee shop.
☕️🫣🍰😅
Our group is currently recruiting multiple PhD and postdoctoral researchers in rational machine learning.
👉 ri-lab.org/assets/pdf/ri-phd…
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Math Major | Daily Diary D0059
Is anyone looking at this?👇
I'm running lots work on my machine atm, I don't have time to look into this - but it sounded interesting.
gist.github.com/flamerix-ai/…
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Math Major | Daily Diary D0059
🥱 Okay. I'm seriously tired.
This week I have been coding, doing math, and writing a whole lot. Often going to bed at 2 am, and back up at 7 am. Need some sleep, for sure.
🖊️ Anyway, one of the things I've been working on is a draft of an epistemology paper exploring a topic I started thinking (and writing) about this summer:
generative asymmetry.
🧫 Yes, I'm primarily talking about the challenges of Generative AI triggering a flood of results in mathematics - but it is my intention to try and extend the idea to (amd draw connections from) other domains that manifest the same pattern.
📬 The draft still needs a hell of a lot of work - but I figured I'd share it now, in order to break the fear of looking stupid. I hope that in a few months, the draft will be in a state where I feel comfortable asking someone to peer review it.
🔥 As soon as a I get some time over, I'll add a comment section to my website - with the hopes that someone might want to read the draft and suggest improvements.
🧗♂️ Anyway, gotta keep moving.
There are lots of fun things to work on.
cryptopatrick.com/research/o…
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Math Major | Daily Diary D0059
😞 Very tragic news coming out of Spain, yesterday.
🚂 Having spent two weeks building a toy/prototype simulator around train collision avoidance, these news are a stark reminder that actual people are affected by collisions - there's a catastrophic reality not that far from simulated trains colliding.
🧸 We can all take it upon ourselves to help create a safer world for everyone.
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Math Major | Daily Diary D0058
🔭 Exploring a Midjourney roundtrip where my website pings Midjourney to generate a new image, based on some changing condition, downloads the image and then updates the website automatically.
🛀 I'm not 100% convinced about the use case yet, but I'll try to get the roundtrip in place, as a Claude Code skill.
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Math Major | Daily Diary D0057
I managed to get locked out of my LinkedIn account.
To regain access they want me to take photos of myself and upload my pictures of my passport.
For LinkedIn?!
Please.
Never touching that abomination again.
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Math Major | Daily Diary D0057
🏁 Finally reached version 1.0 of RailCheck.
🏬 Background: two weeks ago I saw a software demo on the webpage of a company that I'm interested in. I got curious about how the different parts of the demo fit together.
🔨 To understand how the different parts of the demo worked under the hood, I decided to build my own prototype - RailCheck.
🎁 There's clearly room for improvements (lots of things are still broken), but at some point I think that it's more important to take a step and ask - has the prototype achieved what it was created to do?
🔥 If the answer is yes, then there is little point in shoveling more tokens into the furnace.
🚉 So, it's time to say goodbye to you RailCheck - I'm getting off at this stop - other projects await. We had a lot of fun together - and during those early mornings and late nights, I learned a lot.
🚆 "Doors closing! Right away."
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