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