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PalVerFeb2007.pdf
PalVerFeb2007.pdf

... ) or, equivalently, the symbol-wise a posteriori probabilities (APP) obtained by an optimum soft decoder. As is well known, in some notable cases of interest, the APPs can be computed or approximated very efficiently in practice by message-passing algorithms. For example, for Markov sources (e.g., c ...
SIA Review Packet
SIA Review Packet

The expansion of random regular graphs
The expansion of random regular graphs

... depends only upon d. (In fact, we will see that we can take cd ≥ 0.18 for all d ≥ 3, and cd → 1/2 as d → ∞.) More precisely, if G(n, d) denotes a (uniform) random d-regular graph on [n], meaning a (labelled) d-regular graph on [n] chosen uniformly at random from the set of all d-regular graphs on [n ...
NBER WORKING PAPERS SERIES PATH DEPENDENCE IN AGGREGATE OUTPUT Steven N. Durlauf
NBER WORKING PAPERS SERIES PATH DEPENDENCE IN AGGREGATE OUTPUT Steven N. Durlauf

Near-ideal model selection by l1 minimization
Near-ideal model selection by l1 minimization

Section 3 - Electronic Colloquium on Computational Complexity
Section 3 - Electronic Colloquium on Computational Complexity

APPROXIMATING THE MINIMUM SPANNING TREE WEIGHT IN SUBLINEAR TIME
APPROXIMATING THE MINIMUM SPANNING TREE WEIGHT IN SUBLINEAR TIME

... of the optimal solution, for example, the size of a maxcut, without computing the structure that achieves it, i.e., the actual cut. Sometimes, however, a solution can also be constructed in linear or near-linear time. In this paper, we consider the problem of finding the weight of the minimum spannin ...
Combining Labeled and Unlabeled Data with Co
Combining Labeled and Unlabeled Data with Co

A simple D -sampling based PTAS for k-means and other Clustering problems
A simple D -sampling based PTAS for k-means and other Clustering problems

... centers as seeds. Based on these k centers, partition the set of points into k clusters, where each point gets assigned to the closest center. Now, we update the set of centers as the means of each of these clusters. This process is repeated till we get convergence. Although, this heuristic often pe ...
Benchmarks Description
Benchmarks Description

Unit 5
Unit 5

Probability and Counting Rules - Grove City Area School District
Probability and Counting Rules - Grove City Area School District

Nonmanipulable Bayesian Testing
Nonmanipulable Bayesian Testing

De Morgan and Laplace: A Tale of Two Cities
De Morgan and Laplace: A Tale of Two Cities

PROBABILISTIC ALGORITHMIC RANDOMNESS §1. Introduction
PROBABILISTIC ALGORITHMIC RANDOMNESS §1. Introduction

Indecomposable permutations with a given number of cycles
Indecomposable permutations with a given number of cycles

Utility theory - Create and Use Your home.uchicago.edu Account
Utility theory - Create and Use Your home.uchicago.edu Account

full text as PDF file
full text as PDF file

Introduction to probability and statistics
Introduction to probability and statistics

Final Exam Review Key
Final Exam Review Key

Food Security As Resilience - Christopher B. Barrett
Food Security As Resilience - Christopher B. Barrett

...  Prevalence of food (in)security, or population with an acceptable probability of falling (below)above a given health/nutrition threshold over time  For individuals or any aggregate (entire sample, female headed households, specific livelihood group…)  Satisfies all four axioms of food security m ...
Probability Distribution Summary
Probability Distribution Summary

Theory of Decision under Uncertainty
Theory of Decision under Uncertainty

Chapter 4. Method of Maximum Likelihood
Chapter 4. Method of Maximum Likelihood

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Inductive probability

Inductive probability attempts to give the probability of future events based on past events. It is the basis for inductive reasoning, and gives the mathematical basis for learning and the perception of patterns. It is a source of knowledge about the world.There are three sources of knowledge: inference, communication, and deduction. Communication relays information found using other methods. Deduction establishes new facts based on existing facts. Only inference establishes new facts from data.The basis of inference is Bayes' theorem. But this theorem is sometimes hard to apply and understand. The simpler method to understand inference is in terms of quantities of information.Information describing the world is written in a language. For example a simple mathematical language of propositions may be chosen. Sentences may be written down in this language as strings of characters. But in the computer it is possible to encode these sentences as strings of bits (1s and 0s). Then the language may be encoded so that the most commonly used sentences are the shortest. This internal language implicitly represents probabilities of statements.Occam's razor says the ""simplest theory, consistent with the data is most likely to be correct"". The ""simplest theory"" is interpreted as the representation of the theory written in this internal language. The theory with the shortest encoding in this internal language is most likely to be correct.
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