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Information theory - Qüestionari
Contribució de: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Gambling
B) Bioinformatics
C) Cryptographic use
D) Seismic exploration
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Integrated neural clusters
B) Random seeds external to the software
C) Analog processing methods
D) High Shannon entropy
  • 3. How can random seeds for pseudorandom generators be obtained?
A) By using semiotic signs
B) Through Shannon entropy
C) Via extractors
D) Via digital noise
  • 4. What is the measure of sufficient randomness in extractors?
A) Free energy
B) Min-entropy
C) Effective information
D) Dynamic core hypothesis
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Algorithmic entropy
B) Conditional entropy
C) Thermal entropy
D) Rényi entropy
  • 6. Where is Rényi entropy also used?
A) In semiotic code control
B) In seismic oil exploration
C) In minimizing free energy
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) Only for pseudorandom numbers
B) Only in cryptographic systems
C) Yes
D) No
  • 8. What was one early commercial application of information theory?
A) Search for extraterrestrial intelligence
B) Black hole analysis
C) Seismic oil exploration
D) Bioinformatics
  • 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) Minimize free energy in the brain
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) Doede Nauta and Winfried Nöth
B) Umberto Eco and Ferruccio Rossi-Landi
C) Gerald Edelman and Giulio Tononi
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 measurement of sufficient randomness in extractors
C) The minimization of free energy in a self-organized system
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) Umberto Eco and Ferruccio Rossi-Landi
B) Doede Nauta and Winfried Nöth
C) Gerald Edelman and Karl J. Friston
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 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 study black holes and bioinformatics
B) To extract random numbers for cryptography
C) To analyze the integrated process organization of neural information
D) To explore seismic oil deposits
  • 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) Doede Nauta and Winfried Nöth
B) R.V.L. Hartley and C.E. Shannon
C) Umberto Eco and Ferruccio Rossi-Landi
D) Gerald Edelman and Giulio Tononi
  • 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) A reentrant process organization
B) A high degree of redundancy in signs
C) Analog methods of data transmission
D) External cryptographic random seeds
  • 20. What does a reentrant process organization refer to?
A) The synchronization of neurophysiological activity between groups of neuronal populations
B) The generation of pseudorandom numbers using extractors
C) The coding and filtering processes studied in semiotics
D) The filtering of unwanted noise from desired seismic signals
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Karl J. Friston
B) Gerald Edelman
C) Charles Sanders Peirce
D) Giulio Tononi
  • 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 Bayesian brain hypothesis
B) The integrated information theory
C) The dynamic core hypothesis
D) The semiotic information theory
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Phrenology
B) Alchemy
C) Astrology
D) Search for extraterrestrial intelligence
  • 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) Biomechanics
C) Biochemistry
D) Bioinformatics
  • 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) Doede Nauta
B) Gerald Edelman
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) Winfried Nöth
B) Giulio Tononi
C) C.E. Shannon
D) Ferruccio Rossi-Landi
  • 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) Dynamic core hypothesis
C) History of information theory
D) Integrated information theory
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A brute force attack
B) A network
C) A block cipher
D) A single organ
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Information theory units
B) Unicity distances
C) Symmetric keys
D) Distinct physiological states
  • 34. What does network cross-communication and regulation reveal within the organism?
A) Why it ceases permanently
B) How encryption keys are generated
C) Why brute force attacks succeed
D) How it occurs
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) One-time pad interactions
B) Enigma machine interactions
C) Cardio-respiratory interactions
D) Cryptographic interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Extreme environments
B) Simulated virtual environments
C) Cryogenic laboratory environments
D) Underground bunker environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The ban
B) The bit
C) The shannon
D) The byte
  • 38. In which project was Turing's information unit used?
A) The Enigma project
B) The Ultra project
C) The Venona project
D) The Unicity 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) Lorenz cipher code
D) Symmetric key 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 completely impossible under any circumstances
C) It requires no computational effort
D) It is extremely easy using symmetric keys
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) A network physiology attack
B) A conditional mutual attack
C) An information-theoretic attack
D) A brute force attack
  • 42. What are symmetric key algorithms sometimes called?
A) Secret key algorithms
B) Asymmetric algorithms
C) Unicity distance algorithms
D) One-time pads
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) Block ciphers
B) Transfer entropy
C) Bans
D) One-time pads
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Brute force
B) Care
C) Transfer entropy
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 Ultra project
D) The Enigma project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Lossless data compression
C) Rate-distortion theory
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Rate-distortion theory
B) Pragmatic information
C) Channel resolvability
D) Source-channel separation theorems
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Entropy
B) Bits
C) Bytes
D) Distortion functions
  • 49. What type of channel involves more than one transmitter?
A) The broadcast channel
B) The relay channel
C) The wiretap channel
D) The multiple-access channel
  • 50. What type of channel involves more than one receiver?
A) The broadcast channel
B) The wiretap channel
C) The relay channel
D) The multiple-access channel
  • 51. What type of channel involves intermediary helpers?
A) The broadcast channel
B) The relay channel
C) The wiretap channel
D) The multiple-access channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Conditional entropy
B) Kullback-Leibler divergence
C) Cross-entropy
D) Mutual information
  • 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) log2(pi)
B) -log2(pi)
C) -ln(pi)
D) 1 / pi
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The maximum value
B) The median
C) The weighted average
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) 2000 bits
C) 1000 shannons
D) 1 shannon
  • 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) 1940s
D) 1930s
  • 59. In what context was information theory initially formed?
A) Artificial intelligence
B) Telecommunication
C) Molecular biology
D) Quantum computing
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 2 bits
B) 0.5 bits
C) Zero
D) 1 bit
  • 61. What is an example of source coding or data compression mentioned in the text?
A) Voyager missions
B) DSL
C) Compact discs
D) ZIP files
  • 62. What is an example of channel coding mentioned in the text?
A) Artificial intelligence
B) ZIP files
C) Mobile phones
D) DSL
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Apollo missions
B) Hubble telescope
C) Voyager missions
D) Curiosity rover
  • 64. Which invention's success was crucially impacted by information theory?
A) Radio
B) Steam engine
C) Compact disc
D) Television
  • 65. What technology's feasibility was made possible by information theory?
A) Mobile phones
B) Electric guitars
C) Automobiles
D) Airplanes
  • 66. What modern developments were impacted by information theory alongside artificial intelligence?
A) The telegraph network
B) The Internet
C) The postal service
D) The printing press
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Quantum computing
B) Cloud computing
C) Distributed computing
D) Optical computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Oil painting restoration
B) Art creation
C) Architectural drafting
D) Sculpture casting
  • 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) Epistemology
D) Metaphysics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) James Gleick
B) Vannevar Bush
C) Harry Nyquist
D) Ralph Hartley
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1940
B) 1939
C) 1928
D) 1948
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Vannevar Bush
B) Ludwig Boltzmann
C) Alan Turing
D) James Gleick
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Alan Turing
B) Ralph Hartley
C) Claude Shannon
D) Harry Nyquist
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) H = log Sn
B) E = mc2
C) PV = nRT
D) W = K log m
  • 76. What unit of information was sometimes called the hartley in honor of Ralph Hartley?
A) The decimal digit
B) The baud
C) The bit
D) The byte
  • 77. Who used similar ideas in 1940 as part of the statistical analysis of breaking German Enigma ciphers?
A) Claude Shannon
B) Ralph Hartley
C) Alan Turing
D) Harry Nyquist
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Vannevar Bush
B) Harry Nyquist
C) James Gleick
D) Rolf Landauer
  • 79. What logarithmic base is the bit or shannon based on?
A) Decimal logarithm
B) Binary logarithm
C) Natural logarithm
D) Common logarithm
  • 80. What logarithmic base is the nat based on?
A) Common logarithm
B) Natural logarithm
C) Binary 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 lowest possible information content
B) A deterministic sequence
C) The most unpredictable state
D) The most predictable state
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-e
B) Base-2
C) Base-10
D) Base-256
  • 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) Joint entropy
B) Mutual information
C) Marginal entropy
D) Equivocation
  • 86. What is another name for mutual information according to the text?
A) Log-likelihood ratio
B) Transinformation
C) Kullback-Leibler divergence
D) Pointwise mutual information
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Thermodynamics
B) Quantum mechanics
C) Communication
D) Macroeconomics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Kullback-Leibler divergence
B) Jensen-Shannon divergence
C) Euclidean distance
D) Mahalanobis distance
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Student's t-test
B) Mann-Whitney U test
C) Log-likelihood ratio test
D) Shapiro-Wilk test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Euclidean metric
B) Semi-quasimetric
C) Linear transformation
D) Inner product
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Neither
B) Alice
C) Bob
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) Both will be equally surprised
C) Bob
D) Alice
  • 93. What type of set is X assumed to be when drawing a random number in the surprise interpretation?
A) An empty set
B) A finite geometric set
C) An infinite continuous set
D) A discrete set
  • 94. Does directed information apply to statistical physics?
A) Yes
B) Only in macroscopic mechanics
C) No
D) Only in quantum states
  • 95. What does the random process Xn consist of?
A) {X1, Y1, ..., X_n, Y_n}
B) {X0, X1, ..., X_{n-1}}
C) {X1, X2, ..., X_n}
D) {Y1, Y2, ..., Y_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) The same result
B) A result of zero
C) An undefined value
D) Completely different results
  • 97. How is the noise nature of the channel considered in the text?
A) An unpredictable random variable that changes constantly
B) A negligible factor in modern systems
C) An inherent fixed property
D) A completely controllable variable
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) e
B) i
C) Hb
D) p
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Duplicates the input bit
B) Flips the input bit
C) Erases the input bit
D) Delays 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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