Nassim Nicholas Taleb's phenomenal international bestseller The Black Swan: The Impact of the Highly Improbable shows us how to stop trying to predict everything - and take advantage of uncertainty. What have the invention of the wheel, Pompeii, the Wall Street Crash, Harry Potter and the internet got in common? Why are all forecasters con-artists? What can Catherine the Great's lovers tell us about probability? Why should you never run for a train or read a newspaper? This book is all about Black Swans: the random events that underlie our lives, from bestsellers to world disasters. Their impact is huge; they're impossible to predict; yet after they happen we always try to rationalize them. "Taleb is a bouncy and even exhilarating guide...I came to relish what he said, and even develop a sneaking affection for him as a person." (Will Self, Independent on Sunday). "He leaps like some superhero of the mind." (Boyd Tonkin, Independent). "Funny, quirky and thought-provoking...confirms his status as a guru for every would-be Damien Hirst, George Soros and aspirant despot." (John Cornwell, Sunday Times). "Idiosyncratically brilliant." (Niall Ferguson, Sunday Telegraph). "Great fun...brash, stubborn, entertaining, opinionated, curious, cajoling. " (Stephen J. Dubner, Co-Author of Freakonomics).

The Black Swan: The Impact of the Highly Improbable

An iterative method of restoring degraded images was developed by treating images, point spread functions, and degraded images as probability-frequency functions and by applying Bayes’s theorem. The method functions effectively in the presence of noise and is adaptable to computer operation.

/pdf/bayesian-based-iterative-method-of-image-restoration-41ifp80ljc.pdf

Bayesian-Based Iterative Method of Image Restoration

Jaynes's principle of maximum entropy and Kullbacks principle of minimum cross-entropy (minimum directed divergence) are shown to be uniquely correct methods for inductive inference when new information is given in the form of expected values. Previous justifications use intuitive arguments and rely on the properties of entropy and cross-entropy as information measures. The approach here assumes that reasonable methods of inductive inference should lead to consistent results when there are different ways of taking the same information into account (for example, in different coordinate system). This requirement is formalized as four consistency axioms. These are stated in terms of an abstract information operator and make no reference to information measures. It is proved that the principle of maximum entropy is correct in the following sense: maximizing any function but entropy will lead to inconsistency unless that function and entropy have identical maxima. In other words given information in the form of constraints on expected values, there is only one (distribution satisfying the constraints that can be chosen by a procedure that satisfies the consistency axioms; this unique distribution can be obtained by maximizing entropy. This result is established both directly and as a special case (uniform priors) of an analogous result for the principle of minimum cross-entropy. Results are obtained both for continuous probability densities and for discrete distributions.

/pdf/axiomatic-derivation-of-the-principle-of-maximum-entropy-and-28m2oeiysp.pdf

Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy

A survey for the quadratic assignment problem

Rate-distortion theory is the branch of information theory that treats compressing the data produced by an information source down to a specified encoding rate that is strictly less than the source's entropy This necessarily entails some lossiness, or distortion, between the original source data and the best approximation thereto that can be produced on the basis of the encoder's output bits Rate-distortion theory was introduced in the seminal works written in 1948 and 1959 by C E Shannon, the founder of information theory We describe Shannon's contribution and then trace its subsequent development worldwide Heavier than usual emphasis is placed on the concept of “matching” a channel to a source in the rate-distortion sense, and also on the analogous matching of a source to a channel Experimental evidence has been mounting in support of the hypothesis that living organisms often simultaneously achieve both of these matchings when processing their sensory inputs, thereby eliminating the need for the complex encoding and decoding operations that are needed in order to produce an information-theoretically optimum system in the absence of such double matching


Keywords:

rate-distortion;
lossy source coding;
distortion measure;
Shannon;
joint source-channel coding;
bioinformation theory

Rate-Distortion Theory

System engineering handbook

Optimal strategies in sports

Recent Developments in Information and Decision Processes

This is the 12th (and last) in a set of articles on Principles of Operations Research. They were intended to be somewhat different from similarity titled subjects in the usual textbooks.

Principles of Operations Research—12. Finale

System Engineering: An Introduction to the Design of Large-Scale Systems.

Handle everyday research tasks with reliable, citation-backed results

Your personal Research Agent to handle research tasks with citation-backed results

Popular Tasks used by Researchers

How can I help with your research?

Meet SciSpace

Get more enhanced response by uploading the PDFs you want me to reference.

No relevant PDFs in your library

SciSpace is the AI research assistant for academics. Run systematic literature reviews on 280M+ papers, and write papers with cited sources. Trusted by 1M+ students, PhDs & researchers.

SciSpace | AI for Research

Analyze PDFs

Code & Manuscripts

Funding & Grants

Literature & Patents

Medical & Clinical Data

Systematic Review

Visualize & Present

Web & Data

Build a Google Scholar-like website for your research.

Build a website

Create charts and images for your research

Create a Chart

Write a paper for submission to a journal

Draft a manuscript

Patent Search

Design eye-catching scientific posters in minutes.

Scientific Poster Generation

Systematic Literature Review

One task is running at the moment. Your messages will be shown right after.

Drag and drop or click here to browse

Loved by <highlight>1 million+</highlight> researchers

Extract a list of specific topics and their sources from unstructured text

Topics

Compare and analyze relevant papers that matches with your search

Papers

Get insights from PDFs and bookmarked papers from your library

My library

Recent searches

Try searching for:

Catch AI-generated content in scholarly and non-scholarly content

{ai} Detector

Ai Writer

Get PDF Summaries, highlighted text explanations 

Chat with PDF

Effortlessly create in-text citations and bibliographies in APA and 2,500 other formats

Citation generator

Get explanations, summaries, and answers on academic papers

Ease up your research workflow with {scispace}'s cohort of exciting AI tools

Elevate your academic writing skills and convey your ideas the way you want

Paraphraser

Explore our range of reading and writing tools

Your file is being prepared and should be ready in a few minutes. If it's a large file, it might take a bit longer. You can close this window, and we'll email you the file when it's done.

You have reached a maximum limit of <strong>{limit}</strong> columns in the table. Remove at least <strong>1</strong> column to add or create another one.

Robert E. Machol

Author Tools

Chat about Author