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) Gambling
D) Bioinformatics
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) High Shannon entropy
B) Integrated neural clusters
C) Analog processing methods
D) Random seeds external to the software
  • 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) 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) Thermal entropy
C) Conditional entropy
D) Algorithmic 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) No
B) Only in cryptographic systems
C) Only for pseudorandom numbers
D) Yes
  • 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) Decode dominant social messages
B) Strip off and separate unwanted noise from the desired seismic signal
C) Minimize free energy in the brain
D) Generate secure pseudorandom numbers
  • 10. What methods offered a major improvement of resolution and image clarity over previous analog methods in seismic work?
A) Cryptographically secure pseudorandom number generators
B) Free energy principles
C) Extractors and Rényi entropy
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) Karl J. Friston and Andrey Kolmogorov
C) Doede Nauta and Winfried Nöth
D) Umberto Eco and Ferruccio Rossi-Landi
  • 12. How did Doede Nauta define semiotic information theory?
A) The study of the internal processes of coding, filtering, and information processing
B) The separation of unwanted noise from seismic signals
C) The measurement of sufficient randomness in extractors
D) The minimization of free energy in a self-organized system
  • 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) Doede Nauta and Winfried Nöth
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 utilizing cryptographically secure pseudorandom seeds
B) Through digital signal processing of seismic signals
C) By applying the free energy principle
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 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) Umberto Eco and Ferruccio Rossi-Landi
B) Doede Nauta and Winfried Nöth
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) Min-entropy
C) Seismic signal processing
D) Effective information
  • 19. What underlies the definition of measures in the context of neural information organization?
A) Analog methods of data transmission
B) External cryptographic random seeds
C) A reentrant process organization
D) A high degree of redundancy in signs
  • 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 coding and filtering processes studied in semiotics
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) Giulio Tononi
B) Charles Sanders Peirce
C) Gerald Edelman
D) Karl J. Friston
  • 22. What type of system does the free energy principle apply to?
A) A self-organized system
B) An analog seismic receiver
C) A dominant social class
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 dynamic core hypothesis
B) The semiotic information theory
C) The Bayesian brain hypothesis
D) The integrated information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Phrenology
B) Alchemy
C) Search for extraterrestrial intelligence
D) Astrology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Tectonic plates
B) Seismic waves
C) Black holes
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) Crosswords
B) Chess
C) Cipher creation
D) Gambling
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Gerald Edelman
B) Doede Nauta
C) R.V.L. Hartley
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) Winfried Nöth
D) Giulio Tononi
  • 30. Who is listed in the history section alongside R.V.L. Hartley and C.E. Shannon?
A) Andrey Kolmogorov
B) Karl J. Friston
C) Winfried Nöth
D) Charles Sanders Peirce
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Integrated information theory
B) History of information theory
C) Dynamic core hypothesis
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 brute force attacks succeed
B) How it occurs
C) How encryption keys are generated
D) Why it ceases permanently
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) One-time pad interactions
B) Cardio-respiratory interactions
C) Cryptographic interactions
D) Enigma machine interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Cryogenic laboratory environments
B) Simulated virtual environments
C) Underground bunker environments
D) Extreme 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 Enigma project
B) The Unicity project
C) The Ultra 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 is much more difficult than it might first appear
B) It is extremely easy using symmetric keys
C) It requires no computational effort
D) It is completely impossible under any circumstances
  • 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) A network physiology attack
D) An information-theoretic attack
  • 42. What are symmetric key algorithms sometimes called?
A) Unicity distance algorithms
B) One-time pads
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) Transfer entropy
C) Bans
D) Block ciphers
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Block ciphers
B) Transfer entropy
C) Brute force
D) Care
  • 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) Lossy data compression
B) Rate-distortion theory
C) Channel coding
D) Lossless data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Pragmatic information
B) Source-channel separation theorems
C) Rate-distortion theory
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 wiretap channel
C) The multiple-access channel
D) The broadcast channel
  • 50. What type of channel involves more than one receiver?
A) The wiretap channel
B) The relay channel
C) The broadcast channel
D) The multiple-access channel
  • 51. What type of channel involves intermediary helpers?
A) The broadcast channel
B) The wiretap channel
C) The multiple-access channel
D) The relay channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Cross-entropy
B) Conditional entropy
C) Mutual information
D) Kullback-Leibler divergence
  • 53. What type of space does the vector give values in for joint entropy?
A) Metric space
B) Euclidean space
C) Vector space
D) Product space
  • 54. What is the formula for self-information I(pi)?
A) 1 / pi
B) log2(pi)
C) -log2(pi)
D) -ln(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The geometric mean
B) The median
C) The weighted average
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) 1 shannon
B) No information
C) 2000 bits
D) 1000 shannons
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1960
B) 1939
C) 1952
D) 1948
  • 58. In what decade was information theory established and formalized?
A) 1940s
B) 1950s
C) 1920s
D) 1930s
  • 59. In what context was information theory initially formed?
A) Telecommunication
B) Artificial intelligence
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) 2 bits
B) 1 bit
C) 0.5 bits
D) Zero
  • 61. What is an example of source coding or data compression mentioned in the text?
A) DSL
B) Compact discs
C) Voyager missions
D) ZIP files
  • 62. What is an example of channel coding mentioned in the text?
A) ZIP files
B) DSL
C) Artificial intelligence
D) Mobile phones
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Hubble telescope
B) Apollo missions
C) Curiosity rover
D) Voyager missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Compact disc
B) Steam engine
C) Television
D) Radio
  • 65. What technology's feasibility was made possible by information theory?
A) Mobile phones
B) Airplanes
C) Electric guitars
D) Automobiles
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The postal service
B) The printing press
C) The telegraph network
D) The Internet
  • 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) Sculpture casting
B) Oil painting restoration
C) Architectural drafting
D) Art creation
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Vocal cord anatomy
B) Acoustic room resonance
C) Music
D) Musical instrument design
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Aesthetics
B) Epistemology
C) Metaphysics
D) Ethics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Vannevar Bush
B) Ralph Hartley
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) 1928
C) 1940
D) 1939
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Vannevar Bush
B) James Gleick
C) Ludwig Boltzmann
D) Alan Turing
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Harry Nyquist
B) Claude Shannon
C) Ralph Hartley
D) Alan Turing
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) W = K log m
B) H = log Sn
C) E = mc2
D) PV = nRT
  • 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) Harry Nyquist
C) Alan Turing
D) Claude Shannon
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) James Gleick
B) Rolf Landauer
C) Harry Nyquist
D) Vannevar Bush
  • 79. What logarithmic base is the bit or shannon based on?
A) Common logarithm
B) Decimal logarithm
C) Natural logarithm
D) Binary logarithm
  • 80. What logarithmic base is the nat based on?
A) Common logarithm
B) Binary logarithm
C) Base-two logarithm
D) Natural logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Binary logarithm
B) Common logarithm
C) Natural logarithm
D) Base-e logarithm
  • 82. What does the maximum value of entropy represent?
A) A deterministic sequence
B) The lowest possible information content
C) The most unpredictable state
D) The most predictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-256
B) Base-10
C) Base-e
D) Base-2
  • 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) Marginal entropy
C) Equivocation
D) Mutual information
  • 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) Quantum mechanics
B) Communication
C) Macroeconomics
D) Thermodynamics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Kullback-Leibler divergence
B) Euclidean distance
C) Jensen-Shannon divergence
D) Mahalanobis distance
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Shapiro-Wilk test
B) Mann-Whitney U test
C) Student's t-test
D) Log-likelihood ratio test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Euclidean metric
B) Inner product
C) Linear transformation
D) Semi-quasimetric
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Bob
B) Alice
C) Both
D) Neither
  • 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) It is impossible to determine
D) Alice
  • 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) A discrete set
D) An infinite continuous set
  • 94. Does directed information apply to statistical physics?
A) Only in macroscopic mechanics
B) No
C) Yes
D) Only in quantum states
  • 95. What does the random process Xn consist of?
A) {Y1, Y2, ..., Y_n}
B) {X0, X1, ..., X_{n-1}}
C) {X1, X2, ..., X_n}
D) {X1, Y1, ..., X_n, 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) The same result
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) i
B) Hb
C) e
D) p
  • 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) Flips the input bit
D) Duplicates the input bit
  • 100. What feature do many channels have in practice?
A) Zero capacity
B) Memory
C) Ternary input
D) Gaussian noise
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