User contributions

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• 22:47, 12 February 2020 (diff | hist) . . (+95)‎ . . N User:IssaRice/Ergodicity ‎ (Created page with " ==See also== * https://machinelearning.subwiki.org/wiki/User:IssaRice/Multiplicative_process")
• 08:04, 8 February 2020 (diff | hist) . . (+830)‎ . . N User:IssaRice/List of mathematical difficulties ‎ (Created page with "This pages lists some of the concepts in math that I had the most difficulty with. * material implication (introductory sources don't even mention the deduction theorem...) *...")
• 07:13, 7 February 2020 (diff | hist) . . (+951)‎ . . N User:IssaRice/Metropolis–Hastings algorithm ‎ (Created page with "without exception, every single explanation i have seen so far of this absolutely sucks. like, not just "most really suck, and some suck a little". literally everything just s...")
• 20:13, 5 February 2020 (diff | hist) . . (+337)‎ . . N User:IssaRice/Pareto distribution ‎ (Created page with " I still don't know how this is derived, but here's how to make sense of the 80/20 rule: What does it mean to say that the top 20% own 80% of the wealth? It means that <math...")
• 18:46, 5 February 2020 (diff | hist) . . (+494)‎ . . N User:IssaRice/Chi-squared distribution ‎ (Created page with "start at "Consider a binomial random variable Y" on http://www.stat.yale.edu/Courses/1997-98/101/chigf.htm -- I really like the derivation for the binomial case. you can clear...") (current)
• 03:35, 5 February 2020 (diff | hist) . . (+398)‎ . . N User:IssaRice/Gamma distribution ‎ (Created page with "https://www.youtube.com/watch?v=Qjeswpm0cWY ok, so given a poisson process, instead of asking the time until the next occurrence, we can ask for the total time taken until n...")
• 00:57, 5 February 2020 (diff | hist) . . (+121)‎ . . N User:IssaRice/Exponential distribution ‎ (Created page with "this is the only derivation that makes any sense to me: https://neurophysics.ucsd.edu/courses/physics_171/exponential.pdf")
• 23:55, 4 February 2020 (diff | hist) . . (+199)‎ . . N User:IssaRice/List of probability distributions ‎ (Created page with "List of distributions that make sense to me: * uniform * bernoulli * binomial * geometric * beta List of distributions that i don't understand: * exponential * pareto * gam...")
• 23:43, 4 February 2020 (diff | hist) . . (+795)‎ . . N User:IssaRice/Beta distribution ‎ (Created page with "the derivation given here is simple enough to understand: https://web.stanford.edu/class/archive/cs/cs109/cs109.1176/lectureHandouts/15%20Beta.pdf the one thing i don't reall...")
• 19:50, 26 January 2020 (diff | hist) . . (+1,175)‎ . . N User:IssaRice/Moral public goods example ‎ (Created page with "working out the general optimal tax for the example given in https://www.greaterwrong.com/posts/pqKwra9rRYYMvySHc/moral-public-goods each noble has utility function <math>u(x...")
• 03:29, 24 January 2020 (diff | hist) . . (+2,104)‎ . . N User:IssaRice/Poisson distribution ‎ (Created page with "Let X be the number of letters received in a day. If the letters arrive indenpendently blah blah blah, it should be clear that X has a Poisson distribution. Let's say you get...") (current)
• 05:42, 17 January 2020 (diff | hist) . . (+637)‎ . . N User:IssaRice/Linear algebra/Properties preserved under various operations to a matrix ‎ (Created page with "properties to discuss: {| class="sortable wikitable" |- ! Operation !! Preserved properties !! Properties not necessarily perserved |- | Elementary operation: swapping rows...")
• 09:11, 15 January 2020 (diff | hist) . . (+1,539)‎ . . N User:IssaRice/Linear algebra/Singular value decomposition ‎ (Created page with "the stupid textbooks don't tell you anything about SVD!!!! i think it's super helpful to look at all the ''wrong'' things one might say about SVD... we need to un-knot all tho...")
• 08:00, 15 January 2020 (diff | hist) . . (+247)‎ . . N User:IssaRice/Math resources I like ‎ (Created page with "* Terence Tao's notes and books * Tim Gowers's blog (especially intro logic) * Evan Chen's infinite napkin * mathematicalmonk's youtube videos * Vipul's notes * abstractmath.o...")
• 07:51, 15 January 2020 (diff | hist) . . (+1,063)‎ . . N User:IssaRice/Linear algebra/Geometry of linear transformations ‎ (Created page with "There are various "geometric properties" that transformations can have, such as "[https://en.wikipedia.org/wiki/Isometry preserves lengths]", "[https://en.wikipedia.org/wiki/C...")
• 21:52, 14 January 2020 (diff | hist) . . (+1,403)‎ . . N User:IssaRice/Self-sampling assumption with large reference class in sleeping beauty ‎ (Created page with ""Unlike SIA, SSA ''is'' dependent on the choice of reference class. If the agents in the above example were in the same reference class as a trillion other observers, then the...")
• 00:05, 14 January 2020 (diff | hist) . . (+1,916)‎ . . N User:IssaRice/Convex function ‎ (Created page with "a function <math>f : \mathbf R \to \mathbf R</math> is often defined to be convex if <math>f(tx + (1-t)y) \leq tf(x) + (1-t)f(y)</math> for all <math>x,y \in \mathbf R</math>...") (current)
• 03:42, 8 January 2020 (diff | hist) . . (+736)‎ . . N User:IssaRice/Scoring rule ‎ (Created page with "how can we formalize the idea of a rule for scoring predictions? ==first pass== we can start with a list <math>s_1,\ldots,s_n</math> of statements. each statement makes a ye...")
• 10:34, 7 January 2020 (diff | hist) . . (+354)‎ . . N Quantities defined for a random variable that depend only on the distribution ‎ (Created page with "Some quantities defined for a random variable, such as expected value and entropy (as well as quantities defined in terms of those, such as variance), depend only...")
• 10:06, 7 January 2020 (diff | hist) . . (+84)‎ . . N User:IssaRice/Dual space of vector space of polynomials ‎ (IssaRice moved page User:IssaRice/Dual space of vector space of polynomials to User:IssaRice/Linear algebra/Dual space of vector space of polynomials) (current)
• 09:45, 7 January 2020 (diff | hist) . . (+1,527)‎ . . N User:IssaRice/Linear algebra/Dual space of vector space of polynomials ‎ (Created page with "Given a vector space <math>V</math>, its dual space <math>V'</math> is the set of all linear functionals <math>V \to \mathbf F</math>, i.e. all linear functions that "evaluate...")
• 05:40, 1 January 2020 (diff | hist) . . (+2,422)‎ . . N User:IssaRice/Generators and relations of dihedral groups ‎ (Created page with "problem II.2.5 (p. 57) in Aluffi's Algebra: Chapter 0. As suggested by the hint, take <math>x</math> to be a reflection through the center and some vertex, and <math>y</math>...")
• 02:39, 28 December 2019 (diff | hist) . . (+1,103)‎ . . N User:IssaRice/Linear algebra/Determinant as signed volume of transformation ‎ (Created page with " Let <math>f : \mathbf R^n \to \mathbf R^n</math> be some function (not necessarily linear) and let <math>\Omega \subseteq \mathbf R^n</math> be some region in space. we will...")
• 23:36, 18 October 2019 (diff | hist) . . (+1,748)‎ . . N User:IssaRice/Boundedness theorem for continuous functions ‎ (Created page with "There are two typical proofs of the boundedness theorem: * one uses just the least upper bound property * the other uses some sequences machinery (Bolzano-Weierstrass theorem...") (current)
• 22:11, 5 October 2019 (diff | hist) . . (+1,264)‎ . . N User:IssaRice/AI safety/Possibility of act-based agents ‎ (Created page with " "If a pre­dic­tor can pre­dict a sys­tem con­tain­ing con­se­quen­tial­ists (e.g. a hu­man in a room), then it is us­ing some kind of con­se­quen­tial­ist ma...")
• 21:58, 5 October 2019 (diff | hist) . . (+116)‎ . . N User:IssaRice/AI safety/List of critiques of iterated amplification ‎ (Created page with "{| class="sortable wikitable" ! Critique !! Links making this critique !! Paul's response !! Resolution status |- |}")
• 20:38, 4 October 2019 (diff | hist) . . (+291)‎ . . N User:IssaRice/AI safety/History of Paul Christiano's views ‎ (Created page with "https://www.greaterwrong.com/posts/9zpT9dikrrebdq3Jf/will-humans-build-goal-directed-agents/comment/JzYRLCdjxD2Cuqfgu -- i'd like to get the date ranges for each of these view...") (current)
• 08:13, 27 September 2019 (diff | hist) . . (+451)‎ . . N User:IssaRice/AI safety/Bostrom writing style ‎ (Created page with ""I think there is a possible culture where people say a bunch of inside-view things, and run with speculations all the time, and another possible culture where people mostly o...") (current)
• 20:59, 7 September 2019 (diff | hist) . . (+527)‎ . . N User:IssaRice/Implementation details in math ‎ (Created page with "ideas similar to software engineering's "implementation details" come up quite often in math, when we are constructing/defining certain objects: * constructing number systems...") (current)
• 20:52, 7 September 2019 (diff | hist) . . (+37)‎ . . N User:IssaRice/AI safety/Intelligence amplification ‎ (Created page with "https://nickbostrom.com/cognitive.pdf") (current)
• 03:44, 7 September 2019 (diff | hist) . . (+2,674)‎ . . N User:IssaRice/AI safety/Issa's stupid questions about AI safety ‎ (Created page with "* there's a bunch of different considerations that people talk about (like different takeoff scenarios, comparisons to nuclear arms control, etc.) and it's unclear to me how t...")
• 00:41, 6 September 2019 (diff | hist) . . (+236)‎ . . N User:IssaRice/AI safety/Whole brain emulation ‎ (Created page with "==Different kinds of WBE== * hi-fi * lo-fi ==Distinction between magically obtaining and the expected ways of obtaining== ==Timelines== * how many years to WBE under a "de...")
• 01:01, 3 September 2019 (diff | hist) . . (+115)‎ . . N User:IssaRice/AI safety/Asymmetry of risks ‎ (Created page with "https://www.greaterwrong.com/posts/aPwNaiSLjYP4XXZQW/ai-alignment-open-thread-august-2019/comment/moZS7T7gGYnTxkqDJ") (current)
• 00:56, 3 September 2019 (diff | hist) . . (+537)‎ . . N User:IssaRice/AI safety/Distribution of AI failures leading up to AGI ‎ (Created page with "'''Distribution of AI failures leading up to AGI''' refers to how many and how severe AI-related failures are, in the period leading up to AGI. Each "failure event" has sever...")
• 00:47, 3 September 2019 (diff | hist) . . (+117)‎ . . N User:IssaRice/AI safety/ ‎ (Created page with "Index of pages in this directory: {{Special:PrefixIndex/User:IssaRice/AI_safety/ | hideredirects=1 | stripprefix=1}}") (current)
• 22:47, 2 September 2019 (diff | hist) . . (+221)‎ . . N User:IssaRice/AI safety/Comparison of terms related to agency ‎ (Created page with "{| class="wikitable" ! Term !! Opposite |- | Agent || |- | Optimizer, optimization process || |- | consequentialist || |- | expected utility maximizer || |- | goal-directed, g...")
• 00:19, 1 September 2019 (diff | hist) . . (+548)‎ . . N Bellman equation derivation ‎ (Created page with "Bellman equation for <math>v_\pi</math>. We want to show <math>v_\pi(s) = \sum_a \pi(a \mid s) \sum_{s',r} p(s',r\mid s,a) [r + \gamma v_\pi(s')]</math> for all states <math>...")
• 01:54, 28 August 2019 (diff | hist) . . (+2,010)‎ . . N User:IssaRice/Two envelopes problem ‎ (Created page with "https://en.wikipedia.org/wiki/Two_envelopes_problem {| class="wikitable" ! Step !! Wikipedia !! Formal version |- | 1 || I denote by ''A'' the amount in my selected envelope....")
• 05:24, 20 August 2019 (diff | hist) . . (+1,270)‎ . . N User:IssaRice/Computability and logic/Motivation for encoding ‎ (Created page with "The idea of numbering things/encoding things comes up a lot in computability and logic, but many books don't really seem to discuss why we do this in the first place (the answ...")
• 18:09, 16 August 2019 (diff | hist) . . (+3,164)‎ . . N User:IssaRice/Lebesgue number lemma and Tao's proof that sequential compactness implies covering compactness ‎ (Created page with "One typical statement of the Lebesgue number lemma is the following: Let <math>(X,d)</math> be a metric space, and let <math>Y</math> be a subset of <math>X</math>. Let <math>...")
• 07:34, 15 August 2019 (diff | hist) . . (+1,927)‎ . . N User:IssaRice/Linear algebra/Deriving projection formula and equivalent formulas for dot product ‎ (Created page with "This is based on the symmetry argument given in https://www.youtube.com/watch?v=LyGKycYT2v0 Let <math>u</math> and <math>v</math> be vectors. We want to figure out how to pro...")
• 02:12, 14 August 2019 (diff | hist) . . (+652)‎ . . N User:IssaRice/Summary of counting techniques ‎ (Created page with "Let <math>A</math> be a set with <math>n</math> elements, and let <math>B</math> be a set with <math>m</math> elements. {| class="wikitable" ! Description !! Set representing...")
• 01:07, 14 August 2019 (diff | hist) . . (+1,737)‎ . . N User:IssaRice/Linear algebra/Equivalent statements for injectivity and surjectivity ‎ (Created page with "Let <math>A</math> be an <math>m \times n</math> matrix. {| class="wikitable" ! Injective !! Surjective !! Bijective |- | <math>A</math> is injective || <math>A</math> is sur...")
• 06:30, 10 August 2019 (diff | hist) . . (+1,411)‎ . . N Translating informal probability statements to formal counterparts ‎ (Created page with "(inspired by how Aluffi explains universal properties in ''Algebra: Chapter 0'') I think probability is one of the fields in math where people who have learned the subject of...")
• 04:12, 4 August 2019 (diff | hist) . . (+1,059)‎ . . N User:IssaRice/Pythagorean theorem, law of cosines, angle between vectors, and inner product ‎ (Created page with "There is something peculiar about the dependency of the following concepts in math: * Pythagorean theorem * Law of cosines * Angle between two vectors * Dot product * Inner p...")
• 03:59, 4 August 2019 (diff | hist) . . (+78)‎ . . N User:IssaRice/Stringing together relations ‎ (IssaRice moved page User:IssaRice/Stringing together relations to User:IssaRice/Stringing together relations and binary operations) (current)
• 03:28, 3 August 2019 (diff | hist) . . (+742)‎ . . N User:IssaRice/Stringing together relations and binary operations ‎ (Created page with "If <math>R</math> is a relation on a set <math>X</math>, and <math>x,y,z</math> are elements of <math>X</math>, we sometimes write <math>x \mathrel{R} y \mathrel{R} z</math> a...")
• 21:11, 31 July 2019 (diff | hist) . . (+771)‎ . . N Infinitely often and almost always ‎ (Created page with "Let <math>A_1, A_2, A_3, \ldots</math> be a sequence of events in some sample space <math>\Omega</math>. {| class="wikitable" |- ! perspective !! infinitely often !! almost a...")
• 05:26, 30 July 2019 (diff | hist) . . (+755)‎ . . N User:IssaRice/Linear algebra/Dual basis ‎ (Created page with "see p. 224 of https://terrytao.files.wordpress.com/2011/06/blog-book.pdf the following example is based on p. 115 of https://terrytao.files.wordpress.com/2016/12/linear-algeb...")
• 22:54, 29 July 2019 (diff | hist) . . (+1,480)‎ . . N User:IssaRice/Degree of polynomial ‎ (Created page with "Why is the definition of degree of polynomial what it is? First attempt: a polynomial like <math>a_n x^n + a_{n-1} x^{n-1} + \cdots + a_2 x^2 + a_1 x + a_0</math> should have...") (current)

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