Search Results - "Garrabrant, Scott"
-
1
A Formal Approach to the Problem of Logical Non-Omniscience
Published in Electronic proceedings in theoretical computer science (25-07-2017)“…We present the logical induction criterion for computable algorithms that assign probabilities to every logical statement in a given formal language, and…”
Get full text
Journal Article -
2
Temporal Inference with Finite Factored Sets
Published 23-09-2021“…We propose a new approach to temporal inference, inspired by the Pearlian causal inference paradigm - though quite different from Pearl's approach formally…”
Get full text
Journal Article -
3
Embedded Agency
Published 25-02-2019“…Traditional models of rational action treat the agent as though it is cleanly separated from its environment, and can act on that environment from the outside…”
Get full text
Journal Article -
4
P-recursive integer sequences and automata theory
Published 01-01-2015“…An integer sequence {an} is called polynomially recursive, or P-recursive, if it satisfies a nontrivial linear recurrence relation of the form q 0(n)an + q…”
Get full text
Dissertation -
5
Categorizing Variants of Goodhart's Law
Published 12-03-2018“…There are several distinct failure modes for overoptimization of systems on the basis of metrics. This occurs when a metric which can be used to improve a…”
Get full text
Journal Article -
6
Cartesian Frames
Published 22-09-2021“…We introduce a novel framework, the theory of Cartesian frames (CF), that gives powerful tools for manipulating sets of acts. The CF framework takes as its…”
Get full text
Journal Article -
7
Pattern avoidance is not P-recursive
Published 24-05-2015“…Let $F \subset S_k$ be a finite set of permutations and let $C_n(F)$ denote the number of permutations $\sigma$ in $S_n$ avoiding the set of patterns $F$. The…”
Get full text
Journal Article -
8
Words in Linear Groups, Random Walks, Automata and P-Recursiveness
Published 23-02-2015“…Fix a finite set $S \subset {GL}(k,\mathbb{Z})$. Denote by $a_n$ the number of products of matrices in $S$ of length $n$ that are equal to 1. We show that the…”
Get full text
Journal Article -
9
Counting With Irrational Tiles
Published 30-07-2014“…We introduce and study the number of tilings of unit height rectangles with irrational tiles. We prove that the class of sequences of these numbers coincides…”
Get full text
Journal Article -
10
Asymptotic Convergence in Online Learning with Unbounded Delays
Published 18-04-2016“…We study the problem of predicting the results of computations that are too expensive to run, via the observation of the results of smaller computations. We…”
Get full text
Journal Article -
11
Risks from Learned Optimization in Advanced Machine Learning Systems
Published 05-06-2019“…We analyze the type of learned optimization that occurs when a learned model (such as a neural network) is itself an optimizer - a situation we refer to as…”
Get full text
Journal Article -
12
Inductive Coherence
Published 18-04-2016“…While probability theory is normally applied to external environments, there has been some recent interest in probabilistic modeling of the outputs of…”
Get full text
Journal Article -
13
A Formal Approach to the Problem of Logical Non-Omniscience
Published 27-07-2017“…EPTCS 251, 2017, pp. 221-235 We present the logical induction criterion for computable algorithms that assign probabilities to every logical statement in a…”
Get full text
Journal Article -
14
Logical Induction
Published 12-09-2016“…We present a computable algorithm that assigns probabilities to every logical statement in a given formal language, and refines those probabilities over time…”
Get full text
Journal Article -
15
Asymptotic Logical Uncertainty and The Benford Test
Published 12-10-2015“…We give an algorithm A which assigns probabilities to logical sentences. For any simple infinite sequence of sentences whose truth-values appear…”
Get full text
Journal Article -
16
Cofinite Induced Subgraphs of Impartial Combinatorial Games: An Analysis of CIS-Nim
Published 01-01-2012“…Given an impartial combinatorial game G, we create a class of related games (CIS-G) by specifying a finite set of positions in G and forbidding players from…”
Get full text
Journal Article -
17
Using TPA to count linear extensions
Published 24-10-2010“…A linear extension of a poset $P$ is a permutation of the elements of the set that respects the partial order. Let $L(P)$ denote the number of linear…”
Get full text
Journal Article -
18
Upper bounds in the Ohtsuki-Riley-Sakuma partial order on 2-bridge knots
Published 19-07-2010“…In this paper we use continued fractions to study a partial order on the set of 2-bridge knots derived from the work of Ohtsuki, Riley, and Sakuma. We…”
Get full text
Journal Article