Improving Bayesian Reasoning: What Works and Why?

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Publisher : Frontiers Media SA
ISBN 13 : 288919745X
Total Pages : 209 pages
Book Rating : 4.8/5 (891 download)

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Book Synopsis Improving Bayesian Reasoning: What Works and Why? by : Gorka Navarrete

Download or read book Improving Bayesian Reasoning: What Works and Why? written by Gorka Navarrete and published by Frontiers Media SA. This book was released on 2016-02-02 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: We confess that the first part of our title is somewhat of a misnomer. Bayesian reasoning is a normative approach to probabilistic belief revision and, as such, it is in need of no improvement. Rather, it is the typical individual whose reasoning and judgments often fall short of the Bayesian ideal who is the focus of improvement. What have we learnt from over a half-century of research and theory on this topic that could explain why people are often non-Bayesian? Can Bayesian reasoning be facilitated, and if so why? These are the questions that motivate this Frontiers in Psychology Research Topic. Bayes' theorem, named after English statistician, philosopher, and Presbyterian minister, Thomas Bayes, offers a method for updating one’s prior probability of an hypothesis H on the basis of new data D such that P(H|D) = P(D|H)P(H)/P(D). The first wave of psychological research, pioneered by Ward Edwards, revealed that people were overly conservative in updating their posterior probabilities (i.e., P(D|H)). A second wave, spearheaded by Daniel Kahneman and Amos Tversky, showed that people often ignored prior probabilities or base rates, where the priors had a frequentist interpretation, and hence were not Bayesians at all. In the 1990s, a third wave of research spurred by Leda Cosmides and John Tooby and by Gerd Gigerenzer and Ulrich Hoffrage showed that people can reason more like a Bayesian if only the information provided takes the form of (non-relativized) natural frequencies. Although Kahneman and Tversky had already noted the advantages of frequency representations, it was the third wave scholars who pushed the prescriptive agenda, arguing that there are feasible and effective methods for improving belief revision. Most scholars now agree that natural frequency representations do facilitate Bayesian reasoning. However, they do not agree on why this is so. The original third wave scholars favor an evolutionary account that posits human brain adaptation to natural frequency processing. But almost as soon as this view was proposed, other scholars challenged it, arguing that such evolutionary assumptions were not needed. The dominant opposing view has been that the benefit of natural frequencies is mainly due to the fact that such representations make the nested set relations perfectly transparent. Thus, people can more easily see what information they need to focus on and how to simply combine it. This Research Topic aims to take stock of where we are at present. Are we in a proto-fourth wave? If so, does it offer a synthesis of recent theoretical disagreements? The second part of the title orients the reader to the two main subtopics: what works and why? In terms of the first subtopic, we seek contributions that advance understanding of how to improve people’s abilities to revise their beliefs and to integrate probabilistic information effectively. The second subtopic centers on explaining why methods that improve non-Bayesian reasoning work as well as they do. In addressing that issue, we welcome both critical analyses of existing theories as well as fresh perspectives. For both subtopics, we welcome the full range of manuscript types.

Bayesian Reasoning and Machine Learning

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Publisher : Cambridge University Press
ISBN 13 : 0521518148
Total Pages : 739 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Bayesian Reasoning and Machine Learning by : David Barber

Download or read book Bayesian Reasoning and Machine Learning written by David Barber and published by Cambridge University Press. This book was released on 2012-02-02 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: A practical introduction perfect for final-year undergraduate and graduate students without a solid background in linear algebra and calculus.

Improving Statistical Reasoning

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Publisher : Psychology Press
ISBN 13 : 1135705755
Total Pages : 287 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Improving Statistical Reasoning by : Peter Sedlmeier

Download or read book Improving Statistical Reasoning written by Peter Sedlmeier and published by Psychology Press. This book was released on 1999-06-01 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on how statistical reasoning works and on training programs that can exploit people's natural cognitive capabilities to improve their statistical reasoning. Training programs that take into account findings from evolutionary psychology and instructional theory are shown to have substantially larger effects that are more stable over time than previous training regimens. The theoretical implications are traced in a neural network model of human performance on statistical reasoning problems. This book apppeals to judgment and decision making researchers and other cognitive scientists, as well as to teachers of statistics and probabilistic reasoning.

Modeling and Reasoning with Bayesian Networks

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Publisher : Cambridge University Press
ISBN 13 : 0521884381
Total Pages : 561 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis Modeling and Reasoning with Bayesian Networks by : Adnan Darwiche

Download or read book Modeling and Reasoning with Bayesian Networks written by Adnan Darwiche and published by Cambridge University Press. This book was released on 2009-04-06 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a thorough introduction to the formal foundations and practical applications of Bayesian networks. It provides an extensive discussion of techniques for building Bayesian networks that model real-world situations, including techniques for synthesizing models from design, learning models from data, and debugging models using sensitivity analysis. It also treats exact and approximate inference algorithms at both theoretical and practical levels. The author assumes very little background on the covered subjects, supplying in-depth discussions for theoretically inclined readers and enough practical details to provide an algorithmic cookbook for the system developer.

Bayesian Rationality

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Publisher : Oxford University Press
ISBN 13 : 0198524498
Total Pages : 342 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Bayesian Rationality by : Mike Oaksford

Download or read book Bayesian Rationality written by Mike Oaksford and published by Oxford University Press. This book was released on 2007-02-22 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost 2,500 years, the Western concept of what is to be human has been dominated by the idea that the mind is the seat of reason - humans are, almost by definition, the rational animal. In this text a more radical suggestion for explaining these puzzling aspects of human reasoning is put forward.

Psychology and Mathematics Education

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Publisher : Frontiers Media SA
ISBN 13 : 2832529992
Total Pages : 552 pages
Book Rating : 4.8/5 (325 download)

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Book Synopsis Psychology and Mathematics Education by : Gila Hanna

Download or read book Psychology and Mathematics Education written by Gila Hanna and published by Frontiers Media SA. This book was released on 2023-09-05 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modern Mathematics is constructed rigorously through proofs, based on truths, which are either axioms or previously proven theorems. Thus, it is par excellence a model of rational inquiry. Links between Cognitive Psychology and Mathematics Education have been particularly strong during the last decades. Indeed, the Enlightenment view of the rational human mind that reasons, makes decisions and solves problems based on logic and probabilities, was shaken during the second half of the twentieth century. Cognitive psychologists discovered that humans' thoughts and actions often deviate from rules imposed by strict normative theories of inference. Yet, these deviations should not be called "errors": as Cognitive Psychologists have demonstrated, these deviations may be either valid heuristics that succeed in the environments in which humans have evolved, or biases that are caused by a lack of adaptation to abstract information formats. Humans, as the cognitive psychologist and economist Herbert Simon claimed, do not usually optimize, but rather satisfice, even when solving problem. This Research Topic aims at demonstrating that these insights have had a decisive impact on Mathematics Education. We want to stress that we are concerned with the view of bounded rationality that is different from the one espoused by the heuristics-and-biases program. In Simon’s bounded rationality and its direct descendant ecological rationality, rationality is understood in terms of cognitive success in the world (correspondence) rather than in terms of conformity to content-free norms of coherence (e.g., transitivity).

Bayesian Reasoning and Gaussian Processes for Machine Learning Applications

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Publisher : CRC Press
ISBN 13 : 1000569594
Total Pages : 165 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Bayesian Reasoning and Gaussian Processes for Machine Learning Applications by : Hemachandran K

Download or read book Bayesian Reasoning and Gaussian Processes for Machine Learning Applications written by Hemachandran K and published by CRC Press. This book was released on 2022-04-14 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces Bayesian reasoning and Gaussian processes into machine learning applications. Bayesian methods are applied in many areas, such as game development, decision making, and drug discovery. It is very effective for machine learning algorithms in handling missing data and extracting information from small datasets. Bayesian Reasoning and Gaussian Processes for Machine Learning Applications uses a statistical background to understand continuous distributions and how learning can be viewed from a probabilistic framework. The chapters progress into such machine learning topics as belief network and Bayesian reinforcement learning, which is followed by Gaussian process introduction, classification, regression, covariance, and performance analysis of Gaussian processes with other models. FEATURES Contains recent advancements in machine learning Highlights applications of machine learning algorithms Offers both quantitative and qualitative research Includes numerous case studies This book is aimed at graduates, researchers, and professionals in the field of data science and machine learning.

Bayesian Statistics the Fun Way

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Publisher : No Starch Press
ISBN 13 : 1593279566
Total Pages : 258 pages
Book Rating : 4.5/5 (932 download)

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Book Synopsis Bayesian Statistics the Fun Way by : Will Kurt

Download or read book Bayesian Statistics the Fun Way written by Will Kurt and published by No Starch Press. This book was released on 2019-07-09 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fun guide to learning Bayesian statistics and probability through unusual and illustrative examples. Probability and statistics are increasingly important in a huge range of professions. But many people use data in ways they don't even understand, meaning they aren't getting the most from it. Bayesian Statistics the Fun Way will change that. This book will give you a complete understanding of Bayesian statistics through simple explanations and un-boring examples. Find out the probability of UFOs landing in your garden, how likely Han Solo is to survive a flight through an asteroid shower, how to win an argument about conspiracy theories, and whether a burglary really was a burglary, to name a few examples. By using these off-the-beaten-track examples, the author actually makes learning statistics fun. And you'll learn real skills, like how to: - How to measure your own level of uncertainty in a conclusion or belief - Calculate Bayes theorem and understand what it's useful for - Find the posterior, likelihood, and prior to check the accuracy of your conclusions - Calculate distributions to see the range of your data - Compare hypotheses and draw reliable conclusions from them Next time you find yourself with a sheaf of survey results and no idea what to do with them, turn to Bayesian Statistics the Fun Way to get the most value from your data.

Bayesian Reasoning in Data Analysis

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Publisher : World Scientific
ISBN 13 : 9814486094
Total Pages : 352 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Bayesian Reasoning in Data Analysis by : Giulio D'Agostini

Download or read book Bayesian Reasoning in Data Analysis written by Giulio D'Agostini and published by World Scientific. This book was released on 2003-06-13 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a multi-level introduction to Bayesian reasoning (as opposed to “conventional statistics”) and its applications to data analysis. The basic ideas of this “new” approach to the quantification of uncertainty are presented using examples from research and everyday life. Applications covered include: parametric inference; combination of results; treatment of uncertainty due to systematic errors and background; comparison of hypotheses; unfolding of experimental distributions; upper/lower bounds in frontier-type measurements. Approximate methods for routine use are derived and are shown often to coincide — under well-defined assumptions! — with “standard” methods, which can therefore be seen as special cases of the more general Bayesian methods. In dealing with uncertainty in measurements, modern metrological ideas are utilized, including the ISO classification of uncertainty into type A and type B. These are shown to fit well into the Bayesian framework. Contents: Critical Review and Outline of the Bayesian Alternative:Uncertainty in Physics and the Usual Methods of Handling ItA Probabilistic Theory of Measurement UncertaintyA Bayesian Primer:Subjective Probability and Bayes' TheoremProbability Distributions (A Concise Reminder)Bayesian Inference of Continuous QuantitiesGaussian LikelihoodCounting ExperimentsBypassing Bayes' Theorem for Routine ApplicationsBayesian UnfoldingFurther Comments, Examples and Applications:Miscellanea on General Issues in Probability and InferenceCombination of Experimental Results: A Closer LookAsymmetric Uncertainties and Nonlinear PropagationWhich Priors for Frontier Physics?Conclusion:Conclusions and Bibliography Readership: Graduate students and researchers interested in probability and statistics and their applications in science, particularly the evaluation of uncertainty in measurements. Keywords:Probability;Bayesian Statistics;Error Theory;Measurement Uncertainty;MetrologyReviews:“… statistics textbooks must take seriously the need to teach the foundations of statistical reasoning from the beginning … D'Agostini's new book does this admirably, building an edifice of Bayesian statistical reasoning in the physical sciences on solid foundations.”Journal of the American Statistical Association

Explaining the Evidence

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Publisher : Cambridge University Press
ISBN 13 : 1009063944
Total Pages : 327 pages
Book Rating : 4.0/5 (9 download)

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Book Synopsis Explaining the Evidence by : David A. Lagnado

Download or read book Explaining the Evidence written by David A. Lagnado and published by Cambridge University Press. This book was released on 2021-10-21 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: How do we make sense of complex evidence? What are the cognitive principles that allow detectives to solve crimes, and lay people to puzzle out everyday problems? To address these questions, David Lagnado presents a novel perspective on human reasoning. At heart, we are causal thinkers driven to explain the myriad ways in which people behave and interact. We build mental models of the world, enabling us to infer patterns of cause and effect, linking words to deeds, actions to effects, and crimes to evidence. But building models is not enough; we need to evaluate these models against evidence, and we often struggle with this task. We have a knack for explaining, but less skill at evaluating. Fortunately, we can improve our reasoning by reflecting on inferential practices and using formal tools. This book presents a system of rational inference that helps us evaluate our models and make sounder judgments.

Cognitive Psychology

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Publisher : Psychology Press
ISBN 13 : 1351058509
Total Pages : 980 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Cognitive Psychology by : Michael W. Eysenck

Download or read book Cognitive Psychology written by Michael W. Eysenck and published by Psychology Press. This book was released on 2020-03-09 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt: Widely considered to be the most comprehensive and accessible textbook in the field of Cognitive Psychology Emphasis on applied cognition with ‘in the real world’ case studies and examples Comprehensive companion website including access to Primal Pictures’ interactive 3D atlas of the brain, test simulations of key experiments, multiple choice questions, glossary flashcards and instructor PowerPoint slides Simple, clear pedagogy in every chapter to highlight key terms, case studies and further reading Updated references throughout the textbook to reflect the latest research

Reasoning and Thinking

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Publisher : Psychology Press
ISBN 13 : 0863777090
Total Pages : 232 pages
Book Rating : 4.8/5 (637 download)

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Book Synopsis Reasoning and Thinking by : K. I. Manktelow

Download or read book Reasoning and Thinking written by K. I. Manktelow and published by Psychology Press. This book was released on 1999 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook reviews psychological research in the major areas of reasoning and thinking: deduction, induction, hypothesis testing, probability judgement, and decision making. It also covers the major theoretical debates in each area, and devotes a chapter to one of the liveliest issues in the field: the question of human rationality. Central themes that recur throughout the book include not only rationality, but also the relation between normative theories such as logic, probability theory, and decision theory, and human performance, both in experiments and in the world outside the laboratory. No prior acquaintance with formal systems is assumed, and everyday examples are used throughout to illustrate technical and theoretical points. The book differs from others in the market firstly in the range of material covered: other tend to focus primarily on on either reasoning or thinking. It is also the first student-level text to survey an imporatant new theoretical perspective, the information-gain or rational analysis approach, and to review the rationality debate from the standpoint of psuchological research in a wide range of areas.

Improving Statistical Reasoning

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Publisher : Psychology Press
ISBN 13 : 1135705763
Total Pages : 249 pages
Book Rating : 4.1/5 (357 download)

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Book Synopsis Improving Statistical Reasoning by : Peter Sedlmeier

Download or read book Improving Statistical Reasoning written by Peter Sedlmeier and published by Psychology Press. This book was released on 1999-06 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes an approach to understanding, modeling, and improving the probabilistic reasoning of ordinary adults, comparing their reasoning to that of "experts." For specialists in judgment and decision making and all cognitive scientists.

Bayesian Data Analysis, Third Edition

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Publisher : CRC Press
ISBN 13 : 1439840954
Total Pages : 677 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Bayesian Data Analysis, Third Edition by : Andrew Gelman

Download or read book Bayesian Data Analysis, Third Edition written by Andrew Gelman and published by CRC Press. This book was released on 2013-11-01 with total page 677 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now in its third edition, this classic book is widely considered the leading text on Bayesian methods, lauded for its accessible, practical approach to analyzing data and solving research problems. Bayesian Data Analysis, Third Edition continues to take an applied approach to analysis using up-to-date Bayesian methods. The authors—all leaders in the statistics community—introduce basic concepts from a data-analytic perspective before presenting advanced methods. Throughout the text, numerous worked examples drawn from real applications and research emphasize the use of Bayesian inference in practice. New to the Third Edition Four new chapters on nonparametric modeling Coverage of weakly informative priors and boundary-avoiding priors Updated discussion of cross-validation and predictive information criteria Improved convergence monitoring and effective sample size calculations for iterative simulation Presentations of Hamiltonian Monte Carlo, variational Bayes, and expectation propagation New and revised software code The book can be used in three different ways. For undergraduate students, it introduces Bayesian inference starting from first principles. For graduate students, the text presents effective current approaches to Bayesian modeling and computation in statistics and related fields. For researchers, it provides an assortment of Bayesian methods in applied statistics. Additional materials, including data sets used in the examples, solutions to selected exercises, and software instructions, are available on the book’s web page.

Bayesian Reasoning in Data Analysis

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Publisher : World Scientific
ISBN 13 : 981277551X
Total Pages : 351 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis Bayesian Reasoning in Data Analysis by : Giulio D'Agostini

Download or read book Bayesian Reasoning in Data Analysis written by Giulio D'Agostini and published by World Scientific. This book was released on 2003 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a multi-level introduction to Bayesian reasoning (as opposed to OC conventional statisticsOCO) and its applications to data analysis. The basic ideas of this OC newOCO approach to the quantification of uncertainty are presented using examples from research and everyday life. Applications covered include: parametric inference; combination of results; treatment of uncertainty due to systematic errors and background; comparison of hypotheses; unfolding of experimental distributions; upper/lower bounds in frontier-type measurements. Approximate methods for routine use are derived and are shown often to coincide OCo under well-defined assumptions! OCo with OC standardOCO methods, which can therefore be seen as special cases of the more general Bayesian methods. In dealing with uncertainty in measurements, modern metrological ideas are utilized, including the ISO classification of uncertainty into type A and type B. These are shown to fit well into the Bayesian framework.

Doing Better Statistics in Human-Computer Interaction

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Publisher : Cambridge University Press
ISBN 13 : 110848252X
Total Pages : 253 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Doing Better Statistics in Human-Computer Interaction by : Paul Cairns

Download or read book Doing Better Statistics in Human-Computer Interaction written by Paul Cairns and published by Cambridge University Press. This book was released on 2019-02-07 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses common questions from HCI researchers when trying to do statistical analysis on their data.

Math on Trial

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Publisher : Basic Books
ISBN 13 : 0465037941
Total Pages : 272 pages
Book Rating : 4.4/5 (65 download)

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Book Synopsis Math on Trial by : Leila Schneps

Download or read book Math on Trial written by Leila Schneps and published by Basic Books. This book was released on 2013-03-12 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the wrong hands, math can be deadly. Even the simplest numbers can become powerful forces when manipulated by politicians or the media, but in the case of the law, your liberty -- and your life -- can depend on the right calculation. In Math on Trial, mathematicians Leila Schneps and Coralie Colmez describe ten trials spanning from the nineteenth century to today, in which mathematical arguments were used -- and disastrously misused -- as evidence. They tell the stories of Sally Clark, who was accused of murdering her children by a doctor with a faulty sense of calculation; of nineteenth-century tycoon Hetty Green, whose dispute over her aunt's will became a signal case in the forensic use of mathematics; and of the case of Amanda Knox, in which a judge's misunderstanding of probability led him to discount critical evidence -- which might have kept her in jail. Offering a fresh angle on cases from the nineteenth-century Dreyfus affair to the murder trial of Dutch nurse Lucia de Berk, Schneps and Colmez show how the improper application of mathematical concepts can mean the difference between walking free and life in prison. A colorful narrative of mathematical abuse, Math on Trial blends courtroom drama, history, and math to show that legal expertise isn't't always enough to prove a person innocent.