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Information theory - Questionário
Contribuição de: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Cryptographic use
B) Seismic exploration
C) Gambling
D) Bioinformatics
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Analog processing methods
B) Integrated neural clusters
C) Random seeds external to the software
D) High Shannon entropy
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Through Shannon entropy
B) By using semiotic signs
C) Via extractors
D) Via digital noise
  • 4. What is the measure of sufficient randomness in extractors?
A) Effective information
B) Dynamic core hypothesis
C) Free energy
D) Min-entropy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Conditional entropy
C) Thermal entropy
D) Algorithmic entropy
  • 6. Where is Rényi entropy also used?
A) In minimizing free energy
B) In seismic oil exploration
C) In evaluating randomness in cryptographic systems
D) In semiotic code control
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Only for pseudorandom numbers
B) No
C) Only in cryptographic systems
D) Yes
  • 8. What was one early commercial application of information theory?
A) Seismic oil exploration
B) Bioinformatics
C) Black hole analysis
D) Search for extraterrestrial intelligence
  • 9. What did information theory make it possible to do in seismic exploration?
A) Minimize free energy in the brain
B) Decode dominant social messages
C) Generate secure pseudorandom numbers
D) Strip off and separate unwanted noise from the desired seismic signal
  • 10. What methods offered a major improvement of resolution and image clarity over previous analog methods in seismic work?
A) Free energy principles
B) Cryptographically secure pseudorandom number generators
C) Information theory and digital signal processing
D) Extractors and Rényi entropy
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Umberto Eco and Ferruccio Rossi-Landi
B) Gerald Edelman and Giulio Tononi
C) Karl J. Friston and Andrey Kolmogorov
D) Doede Nauta and Winfried Nöth
  • 12. How did Doede Nauta define semiotic information theory?
A) The study of the internal processes of coding, filtering, and information processing
B) The minimization of free energy in a self-organized system
C) The measurement of sufficient randomness in extractors
D) The separation of unwanted noise from seismic signals
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) Doede Nauta and Winfried Nöth
B) Gerald Edelman and Karl J. Friston
C) Umberto Eco and Ferruccio Rossi-Landi
D) C.E. Shannon and R.V.L. Hartley
  • 14. In semiotic explanations of ideology, how does a dominant social class emit its message?
A) By applying the free energy principle
B) By using signs that exhibit a high degree of redundancy
C) By utilizing cryptographically secure pseudorandom seeds
D) Through digital signal processing of seismic signals
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To explore seismic oil deposits
B) To study black holes and bioinformatics
C) To analyze the integrated process organization of neural information
D) To extract random numbers for cryptography
  • 16. What neurological problem is linked to the analysis of neural information organization?
A) The binding problem in cognitive neuroscience
B) The problem of algorithmic complexity
C) The issue of seismic noise filtering
D) The paradox of extraterrestrial intelligence
  • 17. Whose functional clustering model and dynamic core hypothesis define an information-theoretical measure in neural processing?
A) Umberto Eco and Ferruccio Rossi-Landi
B) R.V.L. Hartley and C.E. Shannon
C) Doede Nauta and Winfried Nöth
D) Gerald Edelman and Giulio Tononi
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Shannon entropy
B) Seismic signal processing
C) Effective information
D) Min-entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) A reentrant process organization
B) A high degree of redundancy in signs
C) Analog methods of data transmission
D) External cryptographic random seeds
  • 20. What does a reentrant process organization refer to?
A) The coding and filtering processes studied in semiotics
B) The synchronization of neurophysiological activity between groups of neuronal populations
C) The filtering of unwanted noise from desired seismic signals
D) The generation of pseudorandom numbers using extractors
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Charles Sanders Peirce
B) Karl J. Friston
C) Gerald Edelman
D) Giulio Tononi
  • 22. What type of system does the free energy principle apply to?
A) A dominant social class
B) A self-organized system
C) An analog seismic receiver
D) A cryptographic random number generator
  • 23. Along with the free energy principle, what other hypothesis is mentioned in relation to statistical methods in the brain?
A) The semiotic information theory
B) The Bayesian brain hypothesis
C) The dynamic core hypothesis
D) The integrated information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Search for extraterrestrial intelligence
B) Alchemy
C) Phrenology
D) Astrology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Tectonic plates
B) Black holes
C) Seismic waves
D) Neural clusters
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biochemistry
B) Bioinformatics
C) Biophysics
D) Biomechanics
  • 27. What recreational activity is listed as an application of information theory?
A) Chess
B) Cipher creation
C) Crosswords
D) Gambling
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) R.V.L. Hartley
B) Gerald Edelman
C) Doede Nauta
D) Umberto Eco
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) C.E. Shannon
B) Giulio Tononi
C) Winfried Nöth
D) Ferruccio Rossi-Landi
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Winfried Nöth
B) Karl J. Friston
C) Andrey Kolmogorov
D) Charles Sanders Peirce
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Dynamic core hypothesis
B) Integrated information theory
C) Free energy principle
D) History of information theory
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A single organ
B) A network
C) A brute force attack
D) A block cipher
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Distinct physiological states
B) Information theory units
C) Unicity distances
D) Symmetric keys
  • 34. What does network cross-communication and regulation reveal within the organism?
A) How it occurs
B) Why brute force attacks succeed
C) Why it ceases permanently
D) How encryption keys are generated
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cryptographic interactions
B) Cardio-respiratory interactions
C) One-time pad interactions
D) Enigma machine interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Simulated virtual environments
B) Cryogenic laboratory environments
C) Extreme environments
D) Underground bunker environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The byte
B) The bit
C) The shannon
D) The ban
  • 38. In which project was Turing's information unit used?
A) The Ultra project
B) The Unicity project
C) The Enigma project
D) The Venona project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) Lorenz cipher code
B) Symmetric key code
C) Enigma machine code
D) One-time pad code
  • 40. What does information theory lead us to believe about keeping secrets?
A) It requires no computational effort
B) It is much more difficult than it might first appear
C) It is completely impossible under any circumstances
D) It is extremely easy using symmetric keys
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) An information-theoretic attack
B) A network physiology attack
C) A conditional mutual attack
D) A brute force attack
  • 42. What are symmetric key algorithms sometimes called?
A) One-time pads
B) Unicity distance algorithms
C) Asymmetric algorithms
D) Secret key algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) One-time pads
B) Bans
C) Block ciphers
D) Transfer entropy
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Care
B) Block ciphers
C) Transfer entropy
D) Brute force
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Enigma project
B) The Network Physiology project
C) The Ultra project
D) The Venona project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Lossless data compression
B) Channel coding
C) Rate-distortion theory
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Pragmatic information
B) Channel resolvability
C) Rate-distortion theory
D) Source-channel separation theorems
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Distortion functions
B) Bytes
C) Bits
D) Entropy
  • 49. What type of channel involves more than one transmitter?
A) The wiretap channel
B) The multiple-access channel
C) The broadcast channel
D) The relay channel
  • 50. What type of channel involves more than one receiver?
A) The broadcast channel
B) The multiple-access channel
C) The relay channel
D) The wiretap channel
  • 51. What type of channel involves intermediary helpers?
A) The wiretap channel
B) The multiple-access channel
C) The broadcast channel
D) The relay channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Cross-entropy
B) Kullback-Leibler divergence
C) Mutual information
D) Conditional entropy
  • 53. What type of space does the vector give values in for joint entropy?
A) Euclidean space
B) Vector space
C) Metric space
D) Product space
  • 54. What is the formula for self-information I(pi)?
A) 1 / pi
B) log2(pi)
C) -ln(pi)
D) -log2(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The median
B) The weighted average
C) The geometric mean
D) The maximum value
  • 56. If 1000 bits are transmitted and each is independently and equally likely to be 0 or 1, how much information has been transmitted?
A) 1000 shannons
B) No information
C) 1 shannon
D) 2000 bits
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1939
B) 1952
C) 1948
D) 1960
  • 58. In what decade was information theory established and formalized?
A) 1940s
B) 1950s
C) 1930s
D) 1920s
  • 59. In what context was information theory initially formed?
A) Quantum computing
B) Molecular biology
C) Telecommunication
D) Artificial intelligence
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 0.5 bits
B) 2 bits
C) Zero
D) 1 bit
  • 61. What is an example of source coding or data compression mentioned in the text?
A) Voyager missions
B) DSL
C) ZIP files
D) Compact discs
  • 62. What is an example of channel coding mentioned in the text?
A) Artificial intelligence
B) DSL
C) Mobile phones
D) ZIP files
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Curiosity rover
B) Hubble telescope
C) Apollo missions
D) Voyager missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Steam engine
C) Compact disc
D) Radio
  • 65. What technology's feasibility was made possible by information theory?
A) Automobiles
B) Mobile phones
C) Electric guitars
D) Airplanes
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The printing press
B) The telegraph network
C) The postal service
D) The Internet
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Quantum computing
B) Optical computing
C) Distributed computing
D) Cloud computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Oil painting restoration
B) Architectural drafting
C) Art creation
D) Sculpture casting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Musical instrument design
B) Vocal cord anatomy
C) Acoustic room resonance
D) Music
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Metaphysics
B) Ethics
C) Epistemology
D) Aesthetics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Ralph Hartley
B) Vannevar Bush
C) Harry Nyquist
D) James Gleick
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1948
B) 1940
C) 1939
D) 1928
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) James Gleick
B) Ludwig Boltzmann
C) Vannevar Bush
D) Alan Turing
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Ralph Hartley
B) Alan Turing
C) Harry Nyquist
D) Claude Shannon
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) W = K log m
B) E = mc2
C) PV = nRT
D) H = log Sn
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The baud
B) The decimal digit
C) The bit
D) The byte
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Ralph Hartley
B) Claude Shannon
C) Alan Turing
D) Harry Nyquist
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Rolf Landauer
B) Vannevar Bush
C) James Gleick
D) Harry Nyquist
  • 79. What logarithmic base is the bit or shannon based on?
A) Common logarithm
B) Binary logarithm
C) Natural logarithm
D) Decimal logarithm
  • 80. What logarithmic base is the nat based on?
A) Binary logarithm
B) Common logarithm
C) Natural logarithm
D) Base-two logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Common logarithm
B) Binary logarithm
C) Base-e logarithm
D) Natural logarithm
  • 82. What does the maximum value of entropy represent?
A) The most unpredictable state
B) A deterministic sequence
C) The lowest possible information content
D) The most predictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-256
B) Base-e
C) Base-10
D) Base-2
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A Bernoulli trial
B) An equiprobable trial
C) A logarithmic trial
D) A Markov trial
  • 85. What is another name for conditional entropy?
A) Marginal entropy
B) Equivocation
C) Joint entropy
D) Mutual information
  • 86. What is another name for mutual information according to the text?
A) Pointwise mutual information
B) Log-likelihood ratio
C) Transinformation
D) Kullback-Leibler divergence
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Thermodynamics
B) Communication
C) Macroeconomics
D) Quantum mechanics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Euclidean distance
B) Jensen-Shannon divergence
C) Mahalanobis distance
D) Kullback-Leibler divergence
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Student's t-test
B) Log-likelihood ratio test
C) Shapiro-Wilk test
D) Mann-Whitney U test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Euclidean metric
B) Inner product
C) Semi-quasimetric
D) Linear transformation
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Bob
B) Alice
C) Neither
D) Both
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) It is impossible to determine
B) Both will be equally surprised
C) Bob
D) Alice
  • 93. What type of set is X assumed to be when drawing a random number in the surprise interpretation?
A) An infinite continuous set
B) A discrete set
C) A finite geometric set
D) An empty set
  • 94. Does directed information apply to statistical physics?
A) No
B) Only in macroscopic mechanics
C) Only in quantum states
D) Yes
  • 95. What does the random process Xn consist of?
A) {X0, X1, ..., X_{n-1}}
B) {Y1, Y2, ..., Y_n}
C) {X1, Y1, ..., X_n, Y_n}
D) {X1, X2, ..., X_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) The same result
B) Completely different results
C) A result of zero
D) An undefined value
  • 97. How is the noise nature of the channel considered in the text?
A) A negligible factor in modern systems
B) An unpredictable random variable that changes constantly
C) An inherent fixed property
D) A completely controllable variable
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) p
B) i
C) Hb
D) e
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Flips the input bit
B) Delays the input bit
C) Erases the input bit
D) Duplicates the input bit
  • 100. What feature do many channels have in practice?
A) Gaussian noise
B) Ternary input
C) Zero capacity
D) Memory
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