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