All Notes: Nonlinear Function

All Notes

limiting belief

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limits on individual impact

I want to change the world. What does that mean? Suppose I create a billion-dollar company. That's an enormous amount of value. It's many…

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linear attention

tags: created: 2023-12-07 modified: 2023-12-07 References: https://arxiv.org/abs/2006.16236 The usual [ transformer ] [ attention…

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linear time-invariant

A linear time-invariant system is one where the dependence of the output on the input is: linear: an input produces an output , and…

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lipid bilayer

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listening inbox

podcasts and audiobooks Alan Watts 'out of your mind' lectures

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live the life you want to have

I've heard it said, and it's been ringing true to me, that the thing to do is live the life you want to have now , not plan to spend years…

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living on autopilot

Some things are genuinely hard to do. But many others I don't do just out of laziness, or maybe lack of [ agency ]. I know that they're…

Tagged with: #personal#mental-health

logical induction

Sources: https://www.lesswrong.com/posts/y5GftLezdozEHdXkL/an-intuitive-guide-to-garrabrant-induction https://www.lesswrong.com/posts/jtMXj…

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lone pair

A atomic orbital with two electrons both attached to the same atom. In contrast to a bond, where each atom contributes one electron. Lone…

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long-term context in Transformers

Notes on https://www.pragmatic.ml/a-survey-of-methods-for-incorporating-long-term-context/ 'Standard' transformers have O(n**2) complexity…

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long-term potentiation

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looking under the lamppost

There's a tendency to focus on things that we have the (conceptual/mathematical/societal) tools to understand, even when we know this is…

Tagged with: #how-to-think#research

loose veganism

How do I justify being only 'mostly' [ vegetarian ]? I know that cows and chickens are abused to produce milk and eggs. Why is avoiding…

Tagged with: #morality

love

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love is value alignment

What does it mean to [ love ] someone? Of course this question has as many answers as there are people, and probably more. But here's one…

Tagged with: #ai#alignment#relationships

love is value alignment.sync-conflict-20240609-185651-QL2G4SK

What does it mean to love someone? Of course this question has as many answers as there are people, and probably more. But here's one view…

Tagged with: #ai#alignment#relationships

love-positive

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loving-kindness

see also [ metta ]

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lustful curiosity

I saw this phrase on Twitter somewhere and it really resonates as a description of the ideal approach to science. There is no real…

Tagged with: #how-to-think

macrostate

A macrostate in statistical mechanics is a collection of base-level states; equivalently, a subset of [ phase space ]. It's what you see…

Tagged with: #physics

magical display

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mahamudra

Mahamudra means the 'great seal' or 'great gesture'. We take and [ hold the view ] that each event arising in [ awareness ] --- every sight…

Tagged with: #meditation

manager

Managing for high-variance / creative work versus low-variance consistent work: https://blog.sbensu.com/posts/2023-01-18-high-variance…

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managers are worst-case analyzers

There are a lot of difficult decisions to be made in life. Maybe you need to decide the business strategy of a company, knowing that good…

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many models

An idea I got from [ John Higgs ]'s discussion of metamodernism is that taking [ all models are wrong ] to its logical conclusion requires…

Tagged with: #modeling#ai#how-to-think

many selves

Sometimes I've been scared of losing my identity. In particular I worry about working a non-research job, or having sex with (or being…

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marijuana

I have a private theory about what marijuana does. I'll try to articulate it here. I don't know much about the public theories, so maybe…

Tagged with: #drugs

martingale

A martingale is any [ stochastic process ] that stays the same in expectation. Formally, is a martingale if This condition is related to…

Tagged with: #math

massage

How to think about giving a good massage? Know which way the muscle fibers go. For deep release, exert force perpendicular to the muscle…

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math

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matrix exponential

Reviewing this 3blue1brown video: https://www.youtube.com/watch?v=O85OWBJ2ayo The matrix exponential is written as E to the power of a…

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matrix inversion lemma

The Woodbury-Morrison-Sherman matrix inversion lemma, is sometimes useful just for algebraic simplifications. In cases where and are…

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matrix notation

Notation for Matrix Multiplication Let and . Then just by the definition of matrix multiplication (the summation over is performing…

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maximal update parameterization

References: Hu, Yang (2022) Feature Learning in Infinite-Width Neural Networks https://arxiv.org/abs/2011.14522 Yang, Hu et al. (202…

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maximum-entropy reinforcement learning

For any reward function and policy , consider the entropy-regularized reward Taking as our objective the (expected, discounted…

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mcmc notes

Note: these are personal notes, taken as I was refreshing myself on this material. They're mostly stream of consciousness and probably not…

Tagged with: #math#machine-learning#bayes

measurable function

A function is measurable with respect to [ sigma-algebra ]s on its domain and on its range if the pre-image of any event is…

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mechanistic interpretability

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meditation

The core insight that got me interested: "moments of recognizing your thoughts drifting and bringing them back to your breath" are not…

Tagged with: #meditation#psychology

meditation following log

Apr 24, 2023 be clear on what you're doing in each session. don't mix concentration and emptiness I guess this is related to Tucker's…

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meditation following log.sync-conflict-20240424-145224-QL2G4SK

Dec 13, 2023 Sangha session with Dustin: Something I realized during a concentration practice is that being honest about how ‘well’ the…

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meditation ideas I resist

Generally I think the dharma is deeply true and that [ meditation ] done right is healthy and potentially very beneficial. But I struggle…

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meditative attainments

Specific states or abilities that can arise from skillful meditation: feeling [ equanimity ] first cessation seeing nimitta accessing…

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melatonin

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memory

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memory-efficient attention

To train a [ transformer ] layer on a sequence of length requires the output of the attention computation where are matrices and is…

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memory efficient backprop

Suppose we want to do [ automatic differentiation ] on a [ computational graph ] of sequential length . This could equally well be a…

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memory reconsolidation

Described, among other places, in Unlocking the Emotional Brain . Insofar as much of Buddhism is about dissolving [ samskara ]s…

Tagged with: #psychology#mental-health#neuroscience#meditation

mental models

One last thought mental models are so, so important. When I think about computer modeling. It's actually great computers are powerful they…

Tagged with: #modeling#how-to-think

meritocracy

Like democracy , meritocracy is the worst form of social organization, except for all the others that have been tried. Of course it is good…

Tagged with: #morality#how-to-think

mesa optimizer

References: Risks from Learned Optimization in Advanced Machine Learning Systems A [ reinforcement learning ] algorithm attempts to find the…

Tagged with: #ai#reinforcement-learning

mescaline

Chemically, a substituted [ phenethylamine ]. Like [ dopamine ] but with methyl groups hanging from the two oxygens, and another oxygen…

Tagged with: #drugs

meta learning

Generally this means training some aspect of the learning procedure itself. There is then an inner-loop learning procedure, which follows…

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meta-level shape of machine learning

Unlike most modern [ deep learning ] systems, humans: don't have separate training/test phases (though we may have wake/[ sleep ]) don't…

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meta-reasoning

Stuart Russell told the story of giving a talk on meta-reasoning at Stanford, with Don Knuth in the audience, where he opened with a slide…

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methamphetamine

n-methyl-[ amphetamine ]

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metis

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metta

Pali (Buddhist) term for [ loving-kindness ]

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middle way

From @visakanv on Twitter: (relevant to [ nothing matters ])

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mind at large

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mindfulness requires certainty

A lesson from [ Tucker Peck ]: unresolved questions are the worst thing in meditation. For example, you're just sitting down to practice…

Tagged with: #meditation

minimax duality

Considering a bilevel optimization problem (or saddle point problem) on the two-argument function , in general it holds that That is, the…

Tagged with: #math

minimum description length

Short descriptions of things, when they exist, must capture some kind of structure. The principle of [ Occam's razor ] posits that we should…

Tagged with: #machine-learning#bayes

mirror descent

Mirror descent is a framework for optimization algorithms: many algorithms can be framed as mirror descent, and proofs about mirror descent…

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mirror descent implementations

What pieces of [ mirror descent ] can we automate? See also [ natural gradient implementations ] Given a mirror function , we can compute…

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mirror neurons

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mission statement

(originally from 2020-04-29) On another note, last night I tried to dictate (on Otter) my sense of my life goals. I came up with a very…

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mitochondria

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mixed effects

[ Otter notes ]: Can I explain what a mixed effects model is from a graphical model standpoint? On the inference side, I think it's just…

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mixture of experts

A mixture-of-experts model consists of a set of functions , the 'experts', and a gating function that determines how to select which…

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mode-covering variational inference is incoherent

I have a [ strong opinion weakly held ] that doesn't seem to be wildly shared in the [ approximate Bayesian inference ] community: reverse…

Tagged with: #machine-learning#bayes

model-agnostic meta learning

Original paper: Finn, Abbeel, and Levine, ICML 2017, https://arxiv.org/abs/1703.03400 An approach for [ meta learning ] that works with any…

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model-based RL

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model-based rl

Often we don't explicitly use 'model-based RL' methods, instead people in robotics talk about Sim2Real: adapting a policy pretrained in a…

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model integration

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molecular dynamics

Stack: goal: sample from conformations of arbitrary hydrocarbons (or whatever). simpler goal: sample from conformations of ethane. simpler…

Tagged with: #physics#ideas

money supply

Naively you might think that the government just decides how many dollars there should be, and that's that. This is not true. Since [ IOUs…

Tagged with: #finance

monoamine oxidase

A monoamine oxidase (MAO) is an enzyme that breaks down mono-[ amine ] neurotransmitters such as [ dopamine ], [ serotonin…

Tagged with: #drugs#organic-chemistry

monte carlo tree search

A very natural form of [ meta-reasoning ] that selects the most promising computations. The simplest form of 'expanding' a node assumes a…

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moral realism

There is a connection between moral realism and belief in [ qualia ]. If you see "experience" ([ awareness ]) as a real, fundamental aspect…

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morning person

I don't hold the moral view that it's better to be a morning person than an evening person. Having always tended towards a later sleep…

Tagged with: #personal#life-advice

most learning is by demonstration

In any human-to-human interaction, language carries some very important high-order bits, but it can only carry a few bits. It can help…

Tagged with: #teaching#machine-learning

most people don't care

This is one of the big problems with the world. Not the only one, and not the only way to look at it. But it's everywhere. status : a…

Tagged with: #how-to-think#mental-health

most stupid ideas are stupid ideas

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most work is bullshit

(see David Graeber https://www.strike.coop/bullshit-jobs/ ) Most work is oriented towards achieving [ instrumental goal ]s. But most…

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motivation

I like this take on working with procrastination from a [ nondual ] [ awareness ] perspective: From the viewpoint of "the beyond…

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motorbike tips

maneuvering: the bike goes where I look. look around the turn I want to do. keep elbows up. shift body weight to counterbalance the bike. E…

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multimodal transformer

possible refs: google's multimodal architectures: https://webcache.googleusercontent.com/search?q=cache:https://towardsdatascience.com…

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multiplicative interaction

From a conversation I had about [ attention ] mechanisms in deep architectures. Maybe that terminology is too suggestive --- it's just a…

Tagged with: #ai#machine-learning

multivariate gaussian

We say that a random vector is multivariate Gaussian with mean and covariance matrix if it can be written where is a vector if i.i.d…

Tagged with: #math

multivariate time series

[ thoughts on multivariate causalimpact ]

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mutually orthogonal communities

This was originally a section of breakup.org, written several years ago. this is more related to jobs and identity, but for cases when I get…

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my goals

I want to intentionally spend my time well. I remember back in grad school I would spend evenings reading papers, just as a form of growth…

Tagged with: #personal

my relationship with tech

I've identified as a 'tech' person, but I now feel uncomfortable in many tech circles. What is tech and what does it mean to be a tech…

Tagged with: #personal

my values

It's a useful exercise to occasionally reflect on what I value. stab 1: Generally pro tech, creating new things, non-zero-sum contributions…

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myelin

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nasty, brutish, and short

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nattokinase

Recommended by Michael Edward Johnson:

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natural abstraction

A 'natural' abstraction is one that we expect any agent (or at least, a wide range of agents) to develop because it gets at something…

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natural experiment

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natural gradient

We don't typically think of it this way, but you can derive a [ gradient descent ] step as finding the point that minimizes a linearized…

Tagged with: #machine-learning

natural gradient implementations

How can we automate [ natural gradient ]? See also [ mirror descent implementations ]

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nearest neighbor

Cool trick: some applications can improve on nearest-neighbor lookup by training 'Exemplar SVM's. Instead of matching against a set of…

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negative utilitarianism

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negative utility

My position (a [ strong opinion weakly held ]) is that global utility is currently negative, and probably always has been. It's conceivable…

Tagged with: #morality

negligible

A negligible function is a function such that, for any positive integer there exists an integer such that for all , i.e., that…

Tagged with: #math#crypto

nested SMC

Christian Naesseth, Fredrik Lindsten, Thomas Schon (2015): http://proceedings.mlr.press/v37/naesseth15.html The main idea: In an SMC…

Tagged with: #machine-learning#papers

neural nets do work

Like the proverbial half-full glass, smart people can look at the same reality of the current capacities of neural nets, and come to…

Tagged with: #machine-learning#personal

neural nets don't just interpolate

Sometimes you'll see people say that neural nets 'just' memorize and interpolate their training data. No one denies that neural nets with…

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neuron

Parts of a neuron: dendrites: these branch out to receive connections from other cells axons: these branch out to send signals to other…

Tagged with: #biology#neuroscience

neurotransmitter

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nihilism

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no free lunch theorem

The folklore no-free-lunch 'theorem' in machine learning says that, for any pair of learning algorithms, there exists some dataset on which…

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no plan survives contact with the enemy

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no-self

No-self is one of the [ three characteristics ] that traditional Buddhism holds are present in all phenomena. In later Buddhism, the…

Tagged with: #buddhism#meditation#drugs

noisy natural gradient as VI

https://arxiv.org/abs/1712.02390 Basic idea: optimizers like Adam and RMSProp already keep track of posterior curvature estimates. These are…

Tagged with: #machine-learning#papers

nominal GDP target

Instead of directly targeting a specific rate of inflation, a [ central bank ] may target a fixed rate of nominal GDP growth, which is equal…

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non-dominating force

One way to model real-world [ causality ] is a bunch of forces working with and against each other. In this view, no individual force…

Tagged with: #how-to-think

non-fungible token

NFTs 101: https://medium.com/@intenex/nfts-101-why-nfts-are-a-generational-innovation-4626ae803e3b Among many other things, NFTs are…

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non-player character

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nondual

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nootropics

Obligatory disclaimer: there will never be a drug to turn you into Einstein. Most of effective high-level thinking lies in 'software…

Tagged with: #neuroscience

norepinephrine

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normalized advantage function

References: Gu et al., Continuous Deep Q-Learning with Model-based Acceleration (2016). Instead of modeling directly, we build a network…

Tagged with: #reinforcement-learning

not true enough

Something can be true but not 'true enough'. That is, you have a compelling causal theory for why X should increase Y. It might be that the…

Tagged with: #how-to-think

notes on Hamming

I've started reading The Art of Doing Science and Engineering by Richard Hamming. History of computing: Analog computing goes back forever…

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nothing matters

Because: [ goals are arbitrary ]: achieving a goal, or failing to, doesn't really matter because the goal was arbitrary anyway. From the…

Tagged with: #morality

nothing to do

There's a spiritual idea, in Buddhism and elsewhere, that there is "nothing to do": everything is already suffused with "primordial…

Tagged with: #buddhism#meditation

nucleophile

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nucleotide

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nucleus sampling

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numerics

Don't invert that matrix: https://www.johndcook.com/blog/2010/01/19/dont-invert-that-matrix/ Seven sins of numerical linear algebra…

Tagged with: #computer-science

objectives are big

A very incomplete and maybe nonsensical intuition I want to explore. Classically, people talk about very simple [ reward ] functions like…

Tagged with: #ai#reinforcement-learning#alignment

off-policy

A few (relatively uninformed) thoughts about on- vs off-policy [ reinforcement learning ]. Advantages of on-policy learning: On-policy…

Tagged with: #reinforcement-learning

old daily templates

Original: Daily reflections What am I grateful for today?:: Some goals : Goals for the next ~year:: Goals for the next ~month:: Goals for…

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on-policy learning

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one taste

The brain doesn't have separate models of each of the [ sense gate ]s (and thought). Instead it just stores each moment of perception as a…

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one-way function

Informally, a function is a one-way function if it is easy to compute but hard to invert. Or more generally, hard to pseudo-invert, i.e…

Tagged with: #crypto

ongoing projects

These are things that I might plausibly decide I want to work on when I sit down on the weekend. Expanding nodes on this graph. Blogging…

Tagged with: #personal#ideas

ontological crisis

How do we maintain values when our models of the world shift? If someone's goal in life is to "do God's will", and then they come to believe…

Tagged with: #alignment#ai

optimism

As Josh Marshall said , at the beginning of the Trump presidency: "Optimism is not primarily a prediction but an ethic, a philosophy, a way…

Tagged with: #how-to-think

option

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optional stopping

If is a [ martingale ] and is a [ stopping time ], then any of the following conditions implies that : The stopping time is bounded…

Tagged with: #math

organic chemistry

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origin of suffering

Ken McLeod claims that 'emotional reactivity' is the origin of suffering. Pain consists both in what happens and in our reaction to it. But…

Tagged with: #buddhism

overparameterize

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ownership

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oxidation

mnemonic: OIL RIG = 'oxidation is losing (electrons), reduction is gaining (electrons)' in contrast to [ acid-base chemistry ], which is…

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oxidative phosphorylation

This is how [ mitochondria ] produce most of their [ ATP ]. Mitochondria have an outer membrane and an inner membrane, so there are two…

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p-zombie

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pale blue dot

Look again at that dot. That's here. That's home. That's us. On it everyone you love, everyone you know, everyone you ever heard of, every…

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paperclip maximizer

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papers to read

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partial differential equation

References for PDEs: commutant's Youtube videos: https://www.youtube.com/playlist?list=PLF6061160B55B0203 Fundamental PDEs wave equation…

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particle MCMC

Basic notes from https://www.stats.ox.ac.uk/~doucet/andrieu_doucet_holenstein_PMCMC.pdf Setup: we have parameters and time series model…

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party ideas

Chocolate tasting: buy a bunch of high-end, single-origin chocolate bars. Parcel them out blind. Give people a pad to take notes on what…

Tagged with: #ideas

penalties are constraints

We often see optimization problems with objectives of the form where is the main function of interest (e.g., training loss in machine…

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people like hearing their name

“Remember that a person’s name is to that person the sweetest and most important sound in any language.” Dale Carnegie (How to Win Friends…

Tagged with: #relationships

people want to see you thrive

When you're thinking about doing something that feels right to you, it's easy to get caught up in worrying about what other people will…

Tagged with: #life-advice

perceiver

reading the perceiver papers from Deepmind: Perceiver: Jaegle et al 2021 https://arxiv.org/abs/2103.03206 Perceiver-IO: Jaegle et al 202…

Tagged with: #ai#machine-learning

persistent hallucination

In the [ 5-MeO-DMT ] trip where I experienced [ ego death ], I saw a [ magical display ] of beautiful colors and flowing motion and…

Tagged with: #drugs

personal AI Effect

The AI Effect refers to the widely-recognized phenomenon that 'once we know how to do it, it's not AI'. For example, playing chess well…

Tagged with: #ai

personal philosophy

I always found it weird that philosophy spends so much time talking about specific historical philosophers. Who cares what Aristotle, or…

Tagged with: #teaching#philosophy

personal value-over-replacement

When considering one's impact on the world, it's important (? or at least tempting) to think about about your value-over-replacement. If you…

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phase change hypothesis

(see also: [ large models ]) There's a viewpoint that neural nets just memorize the training data, so the more training data you have, the…

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phase space

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phase transition

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phenethylamine

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phenibut

Developed and widely used in Russia, phenibut is an analogue of [ GABA ] with a phenyl ring substituted at the carbon, giving it the name…

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phosphate

Why Nature Chose Phosphates (science.org)

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poems

To His Coy Mistress Andrew Marvell, 1681 Had we but world enough and time, This coyness, lady, were no crime. We would sit down, and think…

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pointing out

The paradoxical thing about pointing-out style meditation teaching is that you can't really explain the instructions when they're unclear…

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polar

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policy

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policy gradient

(see also my [ deep RL notes ] from John Schulman's class several years ago, which cover much of the same material) We can approach…

Tagged with: #reinforcement-learning

polyak averaging

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positional embedding

There are a few ways to do this. Google's PaLM uses rotary embeddings so it seems like that's probably close to the state of the art? But…

Tagged with: #transformers#ai

positive sum

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potential outcomes

Different experimental conditions may give rise to different outcomes . For example, let the variable indicate whether a person is…

Tagged with: #causality

prayer is therapy

Prayer is a form of [ therapy ]. It's about clarifying your values: figuring out what you really want so that you can ask God for it. and…

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predictable process

A [ stochastic process ] is predictable if its value at time is fully determined by information available at time . Any fully…

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prediction as a model-building exercise

A really valuable exercise that I should consider building into my routine is to regularly try to make and write down explicit predictions…

Tagged with: #how-to-think

predictive agent

Consider an agent that is purely concerned with [ predictive processing ]: finding the optimal [ compression ], or equivalently the optimal…

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predictive processing

The theory of predictive processing seems to be attracting a lot of interest in neuroscience and [ meditation ] circles. I want to try to…

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preference cascade

https://www.quora.com/What-is-a-preference-cascade A lot of how people act is driven by how they think they're 'supposed' to act. There's…

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previously read

AI / RL Distributional RL book: https://www.distributional-rl.org/ Alignment Sequences: Value learning: https://www.alignmentforum.org/s…

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principal-agent problem

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priors are conceptual attention

A Bayesian view of (one aspect of) [ attention ] inspired by a conversation with Shamil Chandaria on [ predictive processing ]. (but this…

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privacy

It seems like there is, or can be, a virtuous relationship between privacy and generalization. You don't want to memorize too many…

Tagged with: #machine-learning

privilege

Illegible privilege We often talk about the 'privilege' associated with certain categories: being born white, straight, male, rich, in a…

Tagged with: #how-to-think#lgbt

pro-social identity

(I got this concept from SuccessfulFriend.) As people grow up and form their identities, they need models, and not just models; they need…

Tagged with: #growing-up#psychology

probabilistic program induction

Can we think about [ generative flow network ]s as a potentially tractable formulation of probabilistic program induction?! executing a line…

Tagged with: #machine-learning#ai

probabilistic programming

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probabilistic programming is not AI research

Many [ probabilistic programming ] researchers frame their work as part of the broader problem of [ artificial intelligence ]. Artificial…

Tagged with: #machine-learning#bayes

probabilistic transformers

A short note on interpreting a transformer layer as performing maximum-likelihood inference in a Gaussian mixture model: https://arxiv.org…

Tagged with: #papers#machine-learning

probabilities hide detail

Matt Levine explains how a financier might react to losing a billion dollars: Sure sure the risks didn’t work out but you probably have a…

Tagged with: #modeling

probability space

A probability space consists of: A set of outcomes aka possible worlds; these represent all the ways the world might be. This is the…

Tagged with: #math

process is frequentist

(aka, why frequentists will always make more money) In the "real" (corporate/governmental) world, most high-level decision making is…

Tagged with: #bayes

procrastination

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