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