All Notes: Nonlinear Function

All Notes

purchases I recommend

Toilet: A bidet. Cold water, warm-water (if a hose from your toilet can reach your sink's plumbing), or internally heated. It saves toilet…

Modified: September 25, 2021.

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purpose

Modified: June 27, 2021.

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pushforward natural gradient

It's tempting to use [ natural gradient ] ascent to optimize a variational distribution. We could also consider using it to optimize the…

Modified: October 25, 2020.

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put-call parity

A portfolio containing a long (European) call and short (European) put [ option ] with the same strike price and expiry date is equivalent…

Modified: October 26, 2021.

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pyrrole ring

A five-sided carbon ring with one nitrogen: C4H4NH.

Modified: May 14, 2021.

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python project setup

General procedure for setting up a new Python project. Create a new git repo and clone into a directory my_new_project Add files…

Modified: April 09, 2022.

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qualia

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quiet desperation

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quotes

"Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin." - John von Neumann Young man, in…

Modified: February 11, 2022.

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random variable

Formally, a random variable is a (measurable) function defined on outcomes from a [ probability space ] . That is, in any possible…

Modified: August 27, 2022.

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randomized controlled trial

a powerful tool for establishing [ causality ]

Modified: February 07, 2022.

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rate equation

The rate equation or master equation for a continuous-time Markov [ stochastic process ] describes how the probability density of the…

Modified: August 28, 2022.

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rationality is moral

From a [ utilitarian ] perspective, all of morality follows from improving global utility, and it follows that it'd be better to do this…

Modified: June 07, 2021.

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reading inbox

In no particular order. Items may move to [ previously read ] if I read them or former reading inbox if I decide I'm not currently…

Modified: August 28, 2023.

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reading is processing

One model you could have of reading a book is that the book contains information, and once you've read it, you now possess that information…

Modified: February 23, 2020.

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reality tunnel

Modified: February 18, 2020.

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reasons to write

Why do I want to write more? Because: writing forces thoughts to crystallize. It forces me to draw conclusions about what I believe and who…

Modified: May 16, 2022.

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recipe for ruin

[ Nielsen's notes on ASI xrisk ] introduced the thought experiment: If you ask an all-knowing oracle a question like "Can you give me a…

Modified: September 29, 2023.

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recipes

See also [ family recipes ]. Roast chicken and vegetables: preheat oven to ~400. cover a spatchcocked chicken with salted garlic butter at…

Modified: March 03, 2022.

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recruiting

The best way to recruit people is to convince them that they will learn and grow by working with your team. Pitches that have 'worked' for…

Modified: July 19, 2021.

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regularization

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reinforced self-training

thoughts on reinforced self-training paper: https://arxiv.org/abs/2308.08998 the basic idea is very simple. we sample additional…

Modified: October 24, 2024.

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reinforcement learning

Note : see [ reinforcement learning notation ] for a guide to the notation I'm attempting to use through my RL notes. Three paradigmatic…

Modified: April 23, 2022.

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reinforcement learning advice

https://andyljones.com/posts/rl-debugging.html https://www.reddit.com/r/reinforcementlearning/comments/9sh77q/what_are_your_best_tips_for…

Modified: March 28, 2022.

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reinforcement learning from human feedback

see: [ steering language models ], [ direct preference optimization ] We are given a bunch of pairwise preference evaluations, of the form…

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reinforcement learning notation

There tends to be a lot going on in RL algorithms, with a whole mess of different quantities defined across timesteps. It's useful to try to…

Modified: April 23, 2022.

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relationship

[ relationship advice ]

Modified: February 10, 2022.

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relationship advice

see also (maybe combine with?) [ relationship ] Accept [ bids ] as much as possible. Praise your partner in public (and in private). Stay in…

Modified: July 13, 2020.

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religion

Modified: December 01, 2022.

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relu inequality

Suppose we want a [ transformer ] to evaluate the inequality returning if and otherwise. For integer , this can be done with a…

Modified: February 13, 2023.

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relu selection

The selection operation y = where(c, a, b) returns How can a [ transformer ] layer implement this operation? One approach is to is to use…

Modified: February 12, 2023.

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remember arguments

When I was younger---in college or in grad school---I was sometimes conflicted about whether I should prioritize trying to get to correct…

Modified: February 11, 2022.

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reparameterization trick

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replica trick

If a model with data has normalizing constant , then the replica trick says that This allows us to analyze the average log-normalizer…

Modified: October 22, 2022.

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representation

In modern ML, representation learning is the art of trying to find useful abstractions, embodied as encoding networks. We can learn…

Modified: February 11, 2022.

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research community

To be a successful researcher it's incredibly important to find and join your [ research community ]. Go to conferences (especially to small…

Modified: February 25, 2022.

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research idea

This note lists some ideas and directions for research I'm interested in or excited about. Some are more fleshed out than others, some more…

Modified: February 21, 2023.

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research identity

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research worth doing

(see also: [ impact ]) I've been feeling depressed partly because the actual PhD research I did was (in my view) pointless, and more broadly…

Modified: February 11, 2022.

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researchers don't always know best

People who do research have a very ground-level, zoomed-in view of their field. They know where the current obstacles are, how incredibly…

Modified: January 16, 2021.

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reservoir sampling

Reservoir samplers solve the following task: sample items without replacement from a stream of unknown length . Because the length is…

Modified: May 10, 2022.

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retreats

Teachers or centers I'd be interested to do a retreat with/at: Tucker Peck Michael Taft Tina Rasmussen (Cloud Mountain 13-day retreats…

Modified: August 27, 2021.

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reversal curse

References: The Reversal Curse: LLMs trained on "A is B" fail to learn "B is A" https://arxiv.org/abs/2309.12288 Studying Large Language…

Modified: January 10, 2024.

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reverse diffusion

References: Ludwig Winkler's post on Reverse time stochastic differential equations . Suppose we have a [ stochastic differential equation…

Modified: August 27, 2022.

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reward

stray thoughts about reward functions (probably related to the [ agent ] abstraction and the [ intentional stance ]) one can make a…

Modified: April 06, 2023.

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reward funnel

When thinking about the [ reward ] function for a real-world AI system, there is always some causal process that determines reward. For…

Modified: April 12, 2023.

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reward is enough

Silver, Singh, Precup, and Sutton argue that Reward is enough : maximizing a reward signal implies, on its own, a very broad range of…

Modified: March 02, 2022.

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reward shaping

Suppose we have a [ Markov decision process ] in which we get reward only at the very end of a long trajectory. Until that point, we have no…

Modified: March 03, 2022.

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reward uncertainty

See also: [ cooperative inverse reinforcement learning ], [ love is value alignment ]

Modified: June 12, 2021.

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right effort

four [ right effort ]s: Restraint : avoid unwholesome situations that might give rise to or trigger unwholesome states and patterns. For…

Modified: October 03, 2024.

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ring attention

References: Liu, Zaharia, Abbeel. Ring Attention with Blockwise Transformers for Near-Infinite Context (2023). https://arxiv.org/abs/231…

Modified: February 19, 2024.

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rl diagnostics

Things that might be useful to log in a [ reinforcement learning ] algorithm: Return of each trajectory. (summarize as mean/std/min/max…

Modified: April 11, 2022.

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rl goals

Implement MuZero or something similar. What are the 'state of the art' RL algorithms? What is known and not known about [ value alignment ]?

Modified: February 21, 2022.

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rl with proxy objectives

Suppose we want to maximize reward, but we only get a couple bits of reward data every few hundreds/thousands of actions, whereas we get…

Modified: March 03, 2022.

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rocket equation

Deriving here just for my own edification. At each timestep a rocket ejects mass at velocity relative to its current reference frame. At…

Modified: September 06, 2022.

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romance is twenty times harder for gay people

About 5% of people are gay, so in any given community it's about twenty times harder for a gay person to find a partner than for a straight…

Modified: May 22, 2021.

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rubber-duck debugging

Modified: February 14, 2021.

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sacred and profane

SuccessfulFriend highlighted this distinction which I should really read more about. At a high level it's about the distinction between…

Modified: July 13, 2020.

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safe objective

Language is a really natural way to tell AI systems what we want them to do. Some current examples: [ GPT ]-3 and successors (InstructGPT…

Modified: April 07, 2022.

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salt

In chemistry, a salt is a neutral-ish (not too acidic nor basic) compound held together by an [ ionic bond ]. Salts can be formed by [ acid…

Modified: January 22, 2022.

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samskara

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scale-free alignment

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scheduled sampling

Scheduled sampling is a training procedure for sequence models that attempts to mitigate [ exposure bias ] - the problem in which generation…

Modified: October 13, 2022.

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score function

The score function is the gradient of a log-density with respect to its parameters: It is the direction that we would move the parameters…

Modified: July 21, 2022.

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score matching

Aapo Hyvärinen: Estimation of Non-Normalized Statistical Models by Score Matching (2005) https://jmlr.org/papers/volume6/hyvarinen05a…

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self-aware

Modified: February 22, 2022.

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self-confidence

[ unearned confidence ] [ agency and confidence ]

Modified: February 07, 2022.

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self-love

https://forum.effectivealtruism.org/posts/QhPyQTXuGt58Nzxnu/you-are-probably-underestimating-how-good-self-love-can-be https://twitter.com…

Modified: October 24, 2024.

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self-other boundary

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selfishness is moral

Sometimes it's necessary and right to prioritize my own interests, even if [ global utility ] is ultimately the only metric. Developing…

Modified: March 07, 2022.

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selflessness is rational

I need to genuinely care about other people and want the best for them, both in general, and for specific people in my life. Why? Obviously…

Modified: April 01, 2022.

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sense gate

Traditional Buddhism describes six "sense bases" or gates: the eye, ear, nose, tongue, body, and mind. Western science usually omits the…

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sense of self

When we talk about "the self", or having a "sense of self", what do we mean? There is an interpretation in terms of [ consciousness ] - that…

Modified: February 03, 2025.

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sense of the possible

Take the statement 'human-level AI is possible'. As a kid, I saw this as obviously true. We can simulate physics, and brains are physical…

Modified: January 23, 2022.

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serotonin

There are 14 kinds of serotonin receptors; most (but not all) are [ G protein ]-coupled. The central nervous system has almost all of them…

Modified: May 14, 2021.

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shadow

Shadow work means, roughly speaking, a practice of noticing, loving, and integrating the parts of yourself that you've repressed (your…

Modified: November 07, 2023.

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shard theory

Shard theory's basic ontology of RL holds that shards are contextually activated, behavior-steering computations in neural networks…

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side channel

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sigma-algebra

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simulator AI

References: https://generative.ink/posts/simulators/ It seems pretty clear that the intelligence emerging from [ language model ]s is not…

Modified: February 16, 2023.

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single-index model

The performance of an investment can be modeled as where the 'market return' is that of some sufficiently broad index such as the S&P 50…

Modified: November 30, 2022.

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skinship

In Korea (and maybe also Japan?) it's common for young guys to bond through physical touch and affection: hugging, holding hands, sitting in…

Modified: February 06, 2023.

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sleep

It's weird that we lie down every day to cease our consciousness, and sometimes to hallucinate. There are physiological benefits to sleep…

Modified: July 19, 2022.

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small steps

It's not a terrible summation of [ depression ] that it starts from seeing no way to achieve your goals. Sometimes that's because it's…

Modified: May 16, 2022.

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soft actor-critic

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software engineering

Modified: May 08, 2020.

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software lessons from TFP

I've been really unhappy about how TFP is developed. It's felt pedantic. I waste a lot of effort thinking about things I don't want to think…

Modified: April 10, 2021.

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southeast asia travel tips

This is the advice I wish I'd had. It's catered to my preferences; caveat emptor. Packing: (for men) bring one pair of long pants, for…

Modified: May 13, 2022.

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sparse coding

paper 1: http://redwood.berkeley.edu/bruno/papers/VR.pdf basic idea: find a basis such that any given image (or whatever signal) can be…

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sparse distributed memory

References: https://redwood.berkeley.edu/wp-content/uploads/2020/08/KanervaP_SDMrelated_models1993.pdf A sparse distributed memory consists…

Modified: March 29, 2024.

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sparse mixture of experts

References: Jacobs, Jordan, Nowlan, Hinton. Adaptive Mixtures of Local Experts (1991) Shazeer et al. Outrageously Large Neural Networks…

Modified: February 13, 2023.

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speech becomes less free

I used to be able to say 'superintelligent AI is possible'. Now in industry the notion of 'possible' is 'something I can myself do': by…

Modified: February 23, 2020.

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spiritual joy

What would true wireheading feel like? People have this impression that it'd be thin, exhausting, artificial, ultimately isolating and not…

Modified: March 24, 2023.

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spiritual path

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stablecoin

A stablecoin is a dollar-denominated liability registered on a [ blockchain ]. It can be backed by USD reserves, as Tether allegedly is…

Modified: March 13, 2022.

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starting principle

Julian Shapiro recommends keeping a set of six 'Starting principles' that you use to make decisions. That's about all that you can…

Modified: February 07, 2022.

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state values, then action values

A common pattern in [ reinforcement learning ] pedagogy is to develop some idea first in the context of estimating state values , and then…

Modified: March 29, 2022.

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stationary

A [ stochastic process ] is (strictly) stationary if all of its joint distributions are invariant under time displacement. It is wide…

Modified: August 28, 2022.

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staying up late

I've always been an evening person more than a [ morning person ]. I often stay up until 1 or 2am, and in the absence of hard constraints it…

Modified: March 14, 2023.

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steering language models

Getting language models to align their output with human preferences would be highly useful for [ computational life coach ]ing. What's the…

Modified: July 18, 2021.

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stochastic differential equation

SDEs are typically written in terms of the differential of a Weiner process (Brownian motion), e.g., Although Weiner processes are nowhere…

Modified: August 29, 2022.

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stochastic gradient

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stochastic process

A stochastic process is a collection of [ random variable ]s defined on a common [ probability space ] . Equivalently, it is a joint…

Modified: August 27, 2022.

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stoicism

Pasting a quote from Adam Smith by way of HN (source http://www.econlib.org/library/Smith/smMS7.html , I should read the whole thing…) that…

Modified: February 10, 2022.

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stopping time

A stopping time for a stochastic process is a time-valued That is, integer-valued for discrete-time processes and real-valued for…

Modified: August 27, 2022.

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strange loops

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strong opinion weakly held

Modified: March 14, 2022.

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structural equation model

Modified: August 02, 2021.

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structural motive

A lot of confused discussion around large organizations comes from conflating individual motivations with larger-scale 'structural…

Modified: December 14, 2022.

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structured prediction

In kindergarten stats, you learn how to build a model that takes in data (a feature vector, image, sound file, etc) and predicts a single…

Modified: March 03, 2022.

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stupid ideas are good ideas

Revolutionary ideas must live in the blind spots of the current intellectual conversation; otherwise people would already be using them…

Modified: January 24, 2022.

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style guide

Note naming The general goal is to minimize the use of aliasing in links. In case where these guidelines suggest an unnatural or uncommon…

Modified: July 22, 2022.

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substantive questions I've had

substantive questions I've had these are things I've wondered about that were never answered properly in the classes in which I learned them…

Modified: February 17, 2022.

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substituted tryptamines

Substituted tryptamines - PsychonautWiki Tryptamine consists of an [ indole ] moeity plus a two-carbon (ethyl) chain with an amine group. We…

Modified: May 14, 2021.

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suffering

Modified: February 25, 2022.

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sufficient statistic

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sugar

A sugar is any molecule with the empirical formula C(N)H(2N)O(N). These are like alkanes, which are C(N)H(2N + 2), except that each carbon…

Modified: February 10, 2022.

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superposition

A -dimensional vector can represent distinct orthogonal features, but due to the weirdness of [ high-dimension ]al geometry, it can…

Modified: September 14, 2022.

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surprises in having a job

What have I learned in 2.5 years at Google? What did I not realize? The model of research. How low the expectations are. How fake it felt to…

Modified: July 10, 2020.

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sybil attack

Modified: October 03, 2021.

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symmetry theory of valence

Refs: https://opentheory.net/Qualia_Formalism_and_a_Symmetry_Theory_of_Valence.pdf

Modified: August 06, 2023.

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syncing supernote with surface pro x

My Supernote A5X syncs through Dropbox, but unfortunately Dropbox doesn't support Windows ARM64 machines like the Surface Pro X. Here's my…

Modified: August 27, 2022.

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taṇhā

Buddhist (Pali) term referring to craving, longing, desire for the world to be other than as it is. This includes craving good things and…

Modified: September 03, 2022.

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talk about people

There's a famous quote attributed to Eleanor Roosevelt: "great minds discuss ideas, average ones events, mediocre ones discuss people". This…

Modified: February 10, 2022.

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tantra

A set of methods for maintaining an " attitude of spacious passion ". The particular methods are contingent; if you could maintain the…

Modified: March 23, 2022.

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target network

A general issue with [ temporal difference ] learning methods, which 'update a guess towards a guess', is that they can end up 'chasing…

Modified: April 23, 2022.

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teacher forcing

Something that confused for me for a while is that people in certain communities talk about 'teacher forcing' as though it's a trick or a…

Modified: October 13, 2022.

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teaching

Dave's principles of effective teaching. Motivation is by far the most important thing. A student who wants to learn will learn even with a…

Modified: April 11, 2020.

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teaching at the critical point

As a researcher, I wonder if there's a 'critical point' of growing an idea when it's important to be [ teaching ] it, whether formally or…

Modified: April 05, 2020.

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teaching lessons learned

working with Sinclair, Klein, Abbeel, they’ve all got great experience and advice especially for large classes You don’t have to give the…

Modified: February 07, 2022.

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teaching machine learning

Rob wants to firm up his foundations. He wants to understand relevant stats, probabilistic models, inference, and maybe work our way up to…

Modified: January 25, 2022.

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television is useless

Epistemic status: either this is true or TV is maybe one of the greatest contributions to human utility ever. Unclear. The average American…

Modified: January 24, 2022.

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temporal difference

From David Silver's slides : TD-learning 'updates a guess towards a guess'. Sutton and Barto define the temporal difference error as the…

Modified: April 04, 2022.

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ten-year goals

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tennis technique

Class 1 forehand grip racquet in right hand, as if picking it up from the ground. hand at bottom of handle. Grip the flat side of the…

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tension

This page (first brainstormed in an Otter note) is for issues where I feel pulled in several directions. Different principles seem to yield…

Modified: February 10, 2022.

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tensor

Every in machine learning talks about tensors, but no one really understands what they are. This page collects several definitions and…

Modified: July 18, 2022.

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tensor product

The tensor product of two vector spaces (defined on the same scalar field, we'll assume ) is the vector space of formal sums of…

Modified: July 18, 2022.

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terry tao on statistical mechanics

This post gives a nice, mathematically clear development of basic terms in statistical mechanics. Highlights: Think of a physical system as…

Modified: April 15, 2022.

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testable prediction

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thai ingredients

thai holy basil / hot basil thai basil turmeric rice noodles: thin (pad thai) or wide (pad see ew / pad kee mao) oyster sauce, fish sauce…

Modified: May 16, 2022.

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the appropriate kind of suffering

Modified: February 19, 2020.

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the balanced-utility trap

Status: in conflict with [ negative utility ] ? See also: the [ hedonic treadmill ]. Evolutionary, 'pain' exists to motivate you to get out…

Modified: March 20, 2022.

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the best things have many stories

I used to think that there was a 'best' way to motivate an area. For example, in VI, the ELBO is derived from the KL divergence between a…

Modified: January 23, 2022.

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the buddha solved his problem, now solve yours

[ Tucker Peck ] often mentions this as a thing Sharon Salzberg would say. What does it mean? I don't know - I should ask Tucker to clarify…

Modified: January 25, 2024.

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the dance

It's almost never worth worrying about whether an individual action is the right thing to do. It's like trying to dance while worrying at…

Modified: May 16, 2022.

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the discourse is wrong

In order for a group of people, like an academic field, or a political elite, to meaningfully converse about a complex topic, they have to…

Modified: February 25, 2022.

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the map is not the territory

Metaphor connected to the observation that [ all models are wrong ]. Borges, On Exactitude in Science : ...In that Empire, the Art of…

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the mind contains the world

A point made by [ Michael Taft ] in various talks, e.g. The World is Inside You (also the '[ emptiness ] of perception' described by [ Dan…

Modified: February 03, 2025.

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the mistake is upstream

Comparing myself to SuccessfulFriend, I might be tempered to think that because he is interested in antitrust law, zoning reform, political…

Modified: August 15, 2020.

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the null hypothesis is always wrong

Andrew Gelman believes that in certain areas of research , like the social sciences, everything is connected. "I’m not expressing…

Modified: June 08, 2021.

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the privilege of advice working out

In every field, there is a store of 'standard' advice that is handed down from mentors to ambitious youngsters. In computer science grad…

Modified: March 06, 2020.

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the purpose of life

The Feynmannian/Sagan/Tyson "scientific" view is that the [ purpose ] of life is understanding : the world is a giant mystery, with layers…

Modified: February 25, 2022.

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the self is a construct

It exists, but is [ empty ], insubstantial, a [ fabrication ]. Foregrounding this view is an important part of [ awakening ] or…

Modified: March 23, 2023.

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the system is bad

[ things are deeply wrong ]

Modified: August 27, 2021.

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the system wants you to have ownership

If I'm managing someone, I want them to be coming up with their own ideas and owning them. Owning their ideas means they will themselves…

Modified: July 10, 2020.

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theory of intelligence

tl;dr : the ideas we need to build intelligent systems may be different from those we need to understand them. Both are important, but…

Modified: February 26, 2022.

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theory of the case

Several ideas here: When I try to tell a story about what I'd like to change about my life, at a high level, I can come at it from different…

Modified: May 07, 2020.

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therapy

Modified: February 10, 2022.

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there's never a single cause

For several reasons: multiple object-level causes a telescoping tower of causes at increasing levels of generality or abstraction 'because…

Modified: February 07, 2022.

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there are no paradoxes, just bad models

If two statements that both seem true conflict with each other, then it seems like you have a paradox. But the world itself is just as it is…

Modified: January 23, 2022.

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there is no speed limit

Modified: July 13, 2020.

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theses are great sources

Pointed out in this tweet: https://twitter.com/AmandaAskell/status/1311776280128479238 but also in many other places over the years…

Modified: February 10, 2022.

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things I believe that no one else believes

AI is going to work. Obviously lots of people believe this. But most 'AI' companies and 'AI' investors are hyping applications of current…

Modified: January 13, 2023.

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things I will always do

No matter what other priorities or any incredibly important goals arise in my life, whether through work, family, or other circumstances…

Modified: February 23, 2020.

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things I would like to do

Write Write regularly: under routine circumstances, at least a few minutes per day. This could be filling in nodes of this graph, blogging…

Modified: February 15, 2020.

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things are deeply wrong

See also: [ the system is bad ] I find it hard to be okay with a 'normal' life, because that would imply some level of acceptance of the…

Modified: January 25, 2022.

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things school should teach

Modified: February 10, 2022.

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things that are always productive

These might not be the best thing to do at any point, but they're better than doing nothing. And doing them can create a sense of progress…

Modified: September 12, 2021.

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things to build

See also [ writing inbox ] See also [ ongoing projects ] See, first and foremost, the backlinks below. Crypto trading model. Write a system…

Modified: November 13, 2021.

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this is all there is

This is one of those things that sounds cliche but is still profound and #fundamental: this is all. There's no great reward in the future…

Modified: July 25, 2020.

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thought vector

Modified: .

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thoughts about kids

I want kids, eventually. I want to be able to talk with them, to build a relationship, to see the world through someone else's eyes. I want…

Modified: February 25, 2022.

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thoughts are actions

The [ agent ] model of intelligence imposes a sharp distinction between the agent and its environment, where the agent 'chooses' actions…

Modified: June 27, 2021.

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thoughts on multivariate causalimpact

let's say the signal we see after the intervention is modeled as the combination of the counterfactual forecast and an intervention effect…

Modified: February 15, 2022.

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three characteristics

[ impermanence ] [ dukkha ] (unsatisfactoriness) [ no-self|annita ] (no-self) Daniel Ingram's summary: things "come and go, don't satisfy…

Modified: May 19, 2022.

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three questions

(fellow student) Smitha has these post-its on her desk: what are you doing? why is it important? are you making progress? I think these…

Modified: February 16, 2022.

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tissue paper thin

This is personal mental image for [ emptiness ] that has been really resonant for me, arising from an experience taking [ MDMA ] with a…

Modified: January 24, 2024.

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to a first-time employee

It helps a lot to write down the things you think someone should know about working in a new environment. Even if a new person would figure…

Modified: September 07, 2020.

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to those whom much is given, much is expected

I feel an obligation to try to do big things with my life, because I've had access to rare opportunities. If ten thousand randomly selected…

Modified: January 25, 2022.

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to watch

Television: Arcane ken burns on the vietnam war WandaVision For All Mankind Severance: https://m.imdb.com/title/tt11280740/ Borgen Diplomat…

Modified: March 20, 2022.

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tokenize

How should a machine learning model represent text? Word-level and character-level features are obvious options, but both have drawbacks…

Modified: February 13, 2023.

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tool AI

Sometimes mentioned as a potential approach to [ AI safety ]. Gwern: Why Tool AIs want to be Agent AIs (roughly: because treating…

Modified: April 07, 2022.

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toolformer

Notes on Toolformer: Language Models Can Teach Themselves to Use Tools The basic method is: "Given just a handful of human-written examples…

Modified: February 16, 2023.

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trace

Trace of a Linear Operator We define the trace as the sum of diagonal elements of a matrix: Lemma : If and are square, then . Proof…

Modified: March 16, 2022.

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tractable approximations to utilitarianism

There are three main approaches to moral philosophy: [ utilitarian ]ism: you should feed a starving person because it will increase 'global…

Modified: June 07, 2021.

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training for consistency

These days we think a lot about using data to train large [ language model ]s. But there's only so much data in the world; eventually we'll…

Modified: October 27, 2022.

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training researchers

I didn't have a good intuitive understanding of the social landscape of being a researcher (and joining a [ research community ]). When…

Modified: February 25, 2022.

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transactions are positive-sum

If you and I agree of our own volition to exchange X for Y, this implies that we both believe we are gaining value in the trade. If one of…

Modified: February 22, 2022.

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transformer

The core of the transformer architecture is multi-headed [ attention ]. The transformer block consists of a multi-headed attention layer…

Modified: February 13, 2023.

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transformer parallelization math

What does the computational profile of a transformer vs a similar RNN look like? First, the transformer. Let's take the LLama 6.7B model…

Modified: October 04, 2023.

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transformer primitives

In developing intuition about [ transformer ]s it's useful to think about specific primitive operations that can be implemented by a small…

Modified: February 13, 2023.

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transformers with memory

Incorporating explicit memory and retrieval seems pretty clearly like the next frontier in language modeling and AI more broadly. We have…

Modified: September 03, 2022.

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transposes are measures

According to this reddit post , one of the main takeaways of functional analysis is that the right way to interpret the 'transpose' of a…

Modified: November 06, 2020.

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trapped priors

SSC link: https://www.astralcodexten.com/p/trapped-priors-as-a-basic-problem (2021 thoughts) How general is this phenomenon? You have a…

Modified: March 12, 2021.

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trauma

Sasha Chapin describes trauma as a 'splitting off' of difficult or painful experiences as memories that the mind tries to avoid accessing…

Modified: October 27, 2024.

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trituration

Modified: .

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true but wrong

A pitfall with relying too heavily on rational deduction is that lots of logically 'true' conclusions are unimportant, or worse yet…

Modified: February 15, 2022.

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trust region policy optimization

(notes loosely based on the Berkeley deep RL course lecture ) Setup: RL with policy gradients The basic setup is that we want to optimize…

Modified: July 06, 2022.

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truth is a low bar

Language is an incredible bottleneck. There are infinitely many true facts about the world, even just in pure math, and yet we communicate…

Modified: January 23, 2022.

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