Information theory - Test
Information theory
  • 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) Random seeds external to the software
B) Integrated neural clusters
C) Analog processing methods
D) High Shannon entropy
  • 3. How can random seeds for pseudorandom generators be obtained?
A) Via digital noise
B) Through Shannon entropy
C) By using semiotic signs
D) Via extractors
  • 4. What is the measure of sufficient randomness in extractors?
A) Min-entropy
B) Free energy
C) Dynamic core hypothesis
D) Effective information
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Rényi entropy
B) Thermal entropy
C) Algorithmic entropy
D) Conditional entropy
  • 6. Where is Rényi entropy also used?
A) In seismic oil exploration
B) In minimizing free energy
C) In semiotic code control
D) In evaluating randomness in cryptographic systems
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Yes
B) Only in cryptographic systems
C) No
D) Only for pseudorandom numbers
  • 8. What was one early commercial application of information theory?
A) Black hole analysis
B) Bioinformatics
C) Seismic oil exploration
D) Search for extraterrestrial intelligence
  • 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) Minimize free energy in the brain
C) Generate secure pseudorandom numbers
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) 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) Umberto Eco and Ferruccio Rossi-Landi
B) Doede Nauta and Winfried Nöth
C) Karl J. Friston and Andrey Kolmogorov
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 measurement of sufficient randomness in extractors
C) The study of the internal processes of coding, filtering, and information processing
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) Doede Nauta and Winfried Nöth
C) C.E. Shannon and R.V.L. Hartley
D) Umberto Eco and Ferruccio Rossi-Landi
  • 14. In semiotic explanations of ideology, how does a dominant social class emit its message?
A) By utilizing cryptographically secure pseudorandom seeds
B) By applying the free energy principle
C) By using signs that exhibit a high degree of redundancy
D) Through digital signal processing of seismic signals
  • 15. Where have quantitative information theoretic methods been applied in cognitive science?
A) To analyze the integrated process organization of neural information
B) To extract random numbers for cryptography
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 problem of algorithmic complexity
C) The binding problem in cognitive neuroscience
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) R.V.L. Hartley and C.E. Shannon
C) Gerald Edelman and Giulio Tononi
D) Doede Nauta and Winfried Nöth
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Min-entropy
B) Seismic signal processing
C) Shannon entropy
D) Effective information
  • 19. What underlies the definition of measures in the context of neural information organization?
A) A reentrant process organization
B) External cryptographic random seeds
C) Analog methods of data transmission
D) A high degree of redundancy in signs
  • 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) Gerald Edelman
B) Karl J. Friston
C) Charles Sanders Peirce
D) Giulio Tononi
  • 22. What type of system does the free energy principle apply to?
A) A dominant social class
B) An analog seismic receiver
C) A self-organized system
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 integrated information theory
B) The dynamic core hypothesis
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) Search for extraterrestrial intelligence
C) Alchemy
D) Phrenology
  • 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) Biomechanics
D) Biochemistry
  • 27. What recreational activity is listed as an application of information theory?
A) Cipher creation
B) Gambling
C) Chess
D) Crosswords
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) Gerald Edelman
B) Umberto Eco
C) R.V.L. Hartley
D) Doede Nauta
  • 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) Charles Sanders Peirce
B) Karl J. Friston
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) 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 brute force attack
C) A block cipher
D) A network
  • 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) How encryption keys are generated
B) How it occurs
C) Why it ceases permanently
D) Why brute force attacks succeed
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Enigma machine interactions
B) Cardio-respiratory 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 byte
B) The shannon
C) The ban
D) The bit
  • 38. In which project was Turing's information unit used?
A) The Ultra project
B) The Venona project
C) The Unicity project
D) The Enigma project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) One-time pad code
B) Enigma machine code
C) Symmetric key code
D) Lorenz cipher 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 requires no computational effort
C) It is extremely easy using symmetric keys
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 network physiology attack
C) A conditional mutual attack
D) An information-theoretic attack
  • 42. What are symmetric key algorithms sometimes called?
A) Unicity distance algorithms
B) Asymmetric algorithms
C) One-time pads
D) Secret key algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Transfer entropy
B) Bans
C) One-time pads
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 Network Physiology project
B) The Venona project
C) The Enigma project
D) The Ultra project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Rate-distortion theory
C) Lossy data compression
D) Lossless data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Rate-distortion theory
B) Source-channel separation theorems
C) Channel resolvability
D) Pragmatic information
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Entropy
B) Bits
C) Distortion functions
D) Bytes
  • 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 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 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) Kullback-Leibler divergence
C) Conditional entropy
D) Cross-entropy
  • 53. What type of space does the vector give values in for joint entropy?
A) Euclidean space
B) Product space
C) Vector space
D) Metric 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 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) 1 shannon
B) No information
C) 1000 shannons
D) 2000 bits
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1948
B) 1960
C) 1952
D) 1939
  • 58. In what decade was information theory established and formalized?
A) 1950s
B) 1920s
C) 1930s
D) 1940s
  • 59. In what context was information theory initially formed?
A) Telecommunication
B) Quantum computing
C) Molecular biology
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) Zero
C) 1 bit
D) 0.5 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) Voyager missions
B) ZIP files
C) Compact discs
D) DSL
  • 62. What is an example of channel coding mentioned in the text?
A) Mobile phones
B) ZIP files
C) Artificial intelligence
D) DSL
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Apollo missions
B) Voyager missions
C) Hubble telescope
D) Curiosity rover
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Compact disc
C) Steam engine
D) Radio
  • 65. What technology's feasibility was made possible by information theory?
A) Airplanes
B) Electric guitars
C) Mobile phones
D) Automobiles
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The Internet
B) The telegraph network
C) The postal service
D) The printing press
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Optical computing
B) Quantum computing
C) Cloud computing
D) Distributed computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Art creation
B) Architectural drafting
C) Sculpture casting
D) Oil painting restoration
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Vocal cord anatomy
B) Musical instrument design
C) Acoustic room resonance
D) Music
  • 70. Which philosophical field is listed at the end of the text as an application area of information theory?
A) Aesthetics
B) Ethics
C) Metaphysics
D) Epistemology
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Harry Nyquist
B) Vannevar Bush
C) Ralph Hartley
D) James Gleick
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1940
B) 1948
C) 1939
D) 1928
  • 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) Harry Nyquist
B) Claude Shannon
C) Alan Turing
D) Ralph Hartley
  • 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 byte
B) The decimal digit
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) Alan Turing
B) Ralph Hartley
C) Claude Shannon
D) Harry Nyquist
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Harry Nyquist
B) Vannevar Bush
C) James Gleick
D) Rolf Landauer
  • 79. What logarithmic base is the bit or shannon based on?
A) Common logarithm
B) Decimal logarithm
C) Binary logarithm
D) Natural logarithm
  • 80. What logarithmic base is the nat based on?
A) Common logarithm
B) Base-two logarithm
C) Binary logarithm
D) Natural logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Natural logarithm
B) Binary logarithm
C) Common logarithm
D) Base-e logarithm
  • 82. What does the maximum value of entropy represent?
A) The most predictable state
B) A deterministic sequence
C) The most unpredictable state
D) The lowest possible information content
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-10
B) Base-256
C) Base-2
D) Base-e
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A logarithmic trial
B) A Markov trial
C) A Bernoulli trial
D) An equiprobable 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) Quantum mechanics
B) Macroeconomics
C) Thermodynamics
D) Communication
  • 88. Mutual information can be expressed as the average of which divergence?
A) Jensen-Shannon divergence
B) Mahalanobis distance
C) Euclidean distance
D) Kullback-Leibler 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) Log-likelihood ratio test
D) Student's t-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) Bob
C) Both
D) Neither
  • 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) An empty set
B) An infinite continuous set
C) A discrete set
D) A finite geometric set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) Only in macroscopic mechanics
C) No
D) Yes
  • 95. What does the random process Xn consist of?
A) {X0, X1, ..., X_{n-1}}
B) {X1, X2, ..., X_n}
C) {Y1, Y2, ..., Y_n}
D) {X1, Y1, ..., X_n, Y_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) An undefined value
B) A result of zero
C) The same result
D) Completely different results
  • 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) A completely controllable variable
D) An unpredictable random variable that changes constantly
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) i
B) e
C) p
D) Hb
  • 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) Memory
B) Ternary input
C) Zero capacity
D) Gaussian noise
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