Information theory - Test
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Cryptographic use
B) Bioinformatics
C) Seismic exploration
D) Gambling
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) High Shannon entropy
B) Random seeds external to the software
C) Integrated neural clusters
D) Analog processing methods
  • 3. How can random seeds for pseudorandom generators be obtained?
A) By using semiotic signs
B) Via extractors
C) Through Shannon entropy
D) Via digital noise
  • 4. What is the measure of sufficient randomness in extractors?
A) Min-entropy
B) Dynamic core hypothesis
C) Free energy
D) Effective information
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Algorithmic entropy
B) Conditional entropy
C) Rényi entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In evaluating randomness in cryptographic systems
B) In semiotic code control
C) In seismic oil exploration
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) No
D) Yes
  • 8. What was one early commercial application of information theory?
A) Bioinformatics
B) Black hole analysis
C) Search for extraterrestrial intelligence
D) Seismic oil exploration
  • 9. What did information theory make it possible to do in seismic exploration?
A) Strip off and separate unwanted noise from the desired seismic signal
B) Generate secure pseudorandom numbers
C) Decode dominant social messages
D) Minimize free energy in the brain
  • 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 measurement of sufficient randomness in extractors
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 separation of unwanted noise from seismic signals
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) C.E. Shannon and R.V.L. Hartley
B) Gerald Edelman and Karl J. Friston
C) Doede Nauta and Winfried Nöth
D) Umberto Eco and Ferruccio Rossi-Landi
  • 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 extract random numbers for cryptography
B) To study black holes and bioinformatics
C) To explore seismic oil deposits
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 binding problem in cognitive neuroscience
B) The problem of algorithmic complexity
C) The paradox of extraterrestrial intelligence
D) The issue of seismic noise filtering
  • 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) Gerald Edelman and Giulio Tononi
C) R.V.L. Hartley and C.E. Shannon
D) Doede Nauta and Winfried Nöth
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Min-entropy
B) Effective information
C) Shannon entropy
D) Seismic signal processing
  • 19. What underlies the definition of measures in the context of neural information organization?
A) External cryptographic random seeds
B) A reentrant process organization
C) A high degree of redundancy in signs
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) Gerald Edelman
B) Karl J. Friston
C) Giulio Tononi
D) Charles Sanders Peirce
  • 22. What type of system does the free energy principle apply to?
A) A self-organized system
B) A dominant social class
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 integrated information theory
C) The Bayesian brain hypothesis
D) The dynamic core hypothesis
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Search for extraterrestrial intelligence
B) Astrology
C) Phrenology
D) Alchemy
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Black holes
B) Tectonic plates
C) Neural clusters
D) Seismic waves
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biophysics
B) Bioinformatics
C) Biomechanics
D) Biochemistry
  • 27. What recreational activity is listed as an application of information theory?
A) Chess
B) Crosswords
C) Gambling
D) Cipher creation
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) R.V.L. Hartley
B) Doede Nauta
C) Gerald Edelman
D) Umberto Eco
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) C.E. Shannon
B) Ferruccio Rossi-Landi
C) Giulio Tononi
D) Winfried Nöth
  • 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) History of information theory
B) Dynamic core hypothesis
C) Integrated information theory
D) Free energy principle
  • 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) Unicity distances
B) Information theory units
C) Distinct physiological states
D) Symmetric keys
  • 34. What does network cross-communication and regulation reveal within the organism?
A) Why it ceases permanently
B) How it occurs
C) Why brute force attacks succeed
D) How encryption keys are generated
  • 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) 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 ban
B) The shannon
C) The byte
D) The bit
  • 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) Lorenz cipher code
C) Symmetric key 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 extremely easy using symmetric keys
C) It is completely impossible under any circumstances
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 brute force attack
D) A conditional mutual attack
  • 42. What are symmetric key algorithms sometimes called?
A) Secret key algorithms
B) Asymmetric algorithms
C) One-time pads
D) Unicity distance algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Transfer entropy
B) One-time pads
C) Bans
D) Block ciphers
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Transfer entropy
B) Brute force
C) Care
D) Block ciphers
  • 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) 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) Channel resolvability
B) Pragmatic information
C) Source-channel separation theorems
D) Rate-distortion theory
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Distortion functions
B) Bytes
C) Entropy
D) Bits
  • 49. What type of channel involves more than one transmitter?
A) The wiretap channel
B) The multiple-access channel
C) The relay channel
D) The broadcast channel
  • 50. What type of channel involves more than one receiver?
A) The relay channel
B) The multiple-access channel
C) The wiretap channel
D) The broadcast channel
  • 51. What type of channel involves intermediary helpers?
A) The broadcast channel
B) The multiple-access 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) Kullback-Leibler divergence
C) Conditional entropy
D) Mutual information
  • 53. What type of space does the vector give values in for joint entropy?
A) Product space
B) Metric space
C) Euclidean space
D) Vector 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 maximum value
B) The weighted average
C) The geometric mean
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) 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) 1952
B) 1960
C) 1948
D) 1939
  • 58. In what decade was information theory established and formalized?
A) 1930s
B) 1950s
C) 1940s
D) 1920s
  • 59. In what context was information theory initially formed?
A) Artificial intelligence
B) Molecular biology
C) Telecommunication
D) Quantum computing
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 1 bit
B) Zero
C) 0.5 bits
D) 2 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) ZIP files
B) DSL
C) Compact discs
D) Voyager missions
  • 62. What is an example of channel coding mentioned in the text?
A) ZIP files
B) Mobile phones
C) DSL
D) Artificial intelligence
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Voyager missions
B) Apollo missions
C) Hubble telescope
D) Curiosity rover
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Radio
C) Compact disc
D) Steam engine
  • 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 printing press
B) The postal service
C) The telegraph network
D) The Internet
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Distributed computing
B) Cloud computing
C) Optical computing
D) Quantum computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Sculpture casting
B) Architectural drafting
C) Oil painting restoration
D) Art creation
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Acoustic room resonance
B) Music
C) Vocal cord anatomy
D) Musical instrument design
  • 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) 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) 1928
B) 1948
C) 1940
D) 1939
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Alan Turing
B) Ludwig Boltzmann
C) James Gleick
D) Vannevar Bush
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Alan Turing
B) Harry Nyquist
C) Ralph Hartley
D) Claude Shannon
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) W = K log m
B) H = log Sn
C) PV = nRT
D) E = mc2
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The decimal digit
B) The bit
C) The baud
D) The byte
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Harry Nyquist
B) Alan Turing
C) Claude Shannon
D) Ralph Hartley
  • 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) Binary logarithm
B) Decimal logarithm
C) Natural logarithm
D) Common logarithm
  • 80. What logarithmic base is the nat based on?
A) Binary logarithm
B) Natural logarithm
C) Common logarithm
D) Base-two logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Binary logarithm
B) Common logarithm
C) Base-e logarithm
D) Natural logarithm
  • 82. What does the maximum value of entropy represent?
A) The lowest possible information content
B) The most predictable state
C) The most unpredictable state
D) A deterministic sequence
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-2
B) Base-256
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 logarithmic trial
C) A Markov trial
D) A Bernoulli trial
  • 85. What is another name for conditional entropy?
A) Joint entropy
B) Marginal entropy
C) Mutual information
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Log-likelihood ratio
B) Pointwise mutual information
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) Quantum mechanics
B) Thermodynamics
C) Macroeconomics
D) Communication
  • 88. Mutual information can be expressed as the average of which divergence?
A) Mahalanobis distance
B) Jensen-Shannon divergence
C) Euclidean distance
D) Kullback-Leibler 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) Linear transformation
B) Semi-quasimetric
C) Euclidean metric
D) Inner product
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Alice
B) Neither
C) Both
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) Alice
C) Bob
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 infinite continuous set
C) An empty set
D) A discrete set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) Yes
C) No
D) Only in macroscopic mechanics
  • 95. What does the random process Xn consist of?
A) {X1, Y1, ..., X_n, Y_n}
B) {X0, X1, ..., X_{n-1}}
C) {Y1, Y2, ..., Y_n}
D) {X1, X2, ..., X_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) Completely different results
B) The same result
C) A result of zero
D) An undefined value
  • 97. How is the noise nature of the channel considered in the text?
A) An unpredictable random variable that changes constantly
B) An inherent fixed property
C) A completely controllable variable
D) A negligible factor in modern systems
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) e
B) Hb
C) p
D) i
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Delays the input bit
B) Erases the input bit
C) Duplicates the input bit
D) Flips the input bit
  • 100. What feature do many channels have in practice?
A) Ternary input
B) Gaussian noise
C) Zero capacity
D) Memory
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