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Information theory - Test
Prispevano od: Haynes
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Gambling
C) Cryptographic use
D) Bioinformatics
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Analog processing methods
B) High Shannon entropy
C) Integrated neural clusters
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) Via digital noise
D) Through Shannon entropy
  • 4. What is the measure of sufficient randomness in extractors?
A) Free energy
B) Dynamic core hypothesis
C) Effective information
D) Min-entropy
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Algorithmic entropy
B) Rényi entropy
C) Conditional entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In minimizing free energy
B) In seismic oil exploration
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 for pseudorandom numbers
C) Only in cryptographic systems
D) No
  • 8. What was one early commercial application of information theory?
A) Black hole analysis
B) Search for extraterrestrial intelligence
C) Bioinformatics
D) Seismic oil exploration
  • 9. What did information theory make it possible to do in seismic exploration?
A) Generate secure pseudorandom numbers
B) Strip off and separate unwanted noise from the desired seismic signal
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) Cryptographically secure pseudorandom number generators
B) Information theory and digital signal processing
C) Extractors and Rényi entropy
D) Free energy principles
  • 11. Which semioticians considered Charles Sanders Peirce as having created a theory of information?
A) Umberto Eco and Ferruccio Rossi-Landi
B) Gerald Edelman and Giulio Tononi
C) Karl J. Friston and Andrey Kolmogorov
D) Doede Nauta and Winfried Nöth
  • 12. How did Doede Nauta define semiotic information theory?
A) The measurement of sufficient randomness in extractors
B) The study of the internal processes of coding, filtering, and information processing
C) The separation of unwanted noise from seismic signals
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) C.E. Shannon and R.V.L. Hartley
B) Gerald Edelman and Karl J. Friston
C) Umberto Eco and Ferruccio Rossi-Landi
D) Doede Nauta and Winfried Nöth
  • 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 study black holes and bioinformatics
B) To analyze the integrated process organization of neural information
C) To explore seismic oil deposits
D) To extract random numbers for cryptography
  • 16. What neurological problem is linked to the analysis of neural information organization?
A) The problem of algorithmic complexity
B) The paradox of extraterrestrial intelligence
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) 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) 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) 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 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) Giulio Tononi
B) Karl J. Friston
C) Gerald Edelman
D) Charles Sanders Peirce
  • 22. What type of system does the free energy principle apply to?
A) An analog seismic receiver
B) A cryptographic random number generator
C) A dominant social class
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 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) Search for extraterrestrial intelligence
B) Alchemy
C) Phrenology
D) Astrology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Neural clusters
B) Black holes
C) Tectonic plates
D) Seismic waves
  • 26. What life-science field is mentioned as having applications in information theory?
A) Bioinformatics
B) Biomechanics
C) Biochemistry
D) Biophysics
  • 27. What recreational activity is listed as an application of information theory?
A) Chess
B) Cipher creation
C) Gambling
D) Crosswords
  • 28. Who is listed in the history section alongside C.E. Shannon and Andrey Kolmogorov?
A) R.V.L. Hartley
B) Gerald Edelman
C) Umberto Eco
D) Doede Nauta
  • 29. Who is mentioned in the history section alongside R.V.L. Hartley and Andrey Kolmogorov?
A) Ferruccio Rossi-Landi
B) Giulio Tononi
C) Winfried Nöth
D) C.E. Shannon
  • 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) 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 block cipher
B) A brute force attack
C) A network
D) A single organ
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Symmetric keys
B) Distinct physiological states
C) Information theory units
D) Unicity distances
  • 34. What does network cross-communication and regulation reveal within the organism?
A) Why brute force attacks succeed
B) How encryption keys are generated
C) How it occurs
D) Why it ceases permanently
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Cardio-respiratory interactions
B) One-time pad interactions
C) Cryptographic interactions
D) Enigma machine interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Extreme environments
B) Underground bunker environments
C) Simulated virtual environments
D) Cryogenic laboratory environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The byte
B) The shannon
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) Enigma machine code
C) One-time pad 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 is extremely easy using symmetric keys
D) It requires no computational effort
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) A conditional mutual attack
B) A network physiology attack
C) A brute force attack
D) An information-theoretic attack
  • 42. What are symmetric key algorithms sometimes called?
A) Secret key algorithms
B) One-time pads
C) Asymmetric algorithms
D) Unicity distance algorithms
  • 43. What is an example of a commonly used method of symmetric key algorithms?
A) One-time pads
B) Bans
C) Transfer entropy
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 Ultra project
C) The Network Physiology project
D) The Venona project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Rate-distortion theory
C) Lossless data compression
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Source-channel separation theorems
B) Channel resolvability
C) Pragmatic information
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) Entropy
C) Bits
D) Bytes
  • 49. What type of channel involves more than one transmitter?
A) The multiple-access channel
B) The broadcast channel
C) The relay channel
D) The wiretap channel
  • 50. What type of channel involves more than one receiver?
A) The relay channel
B) The broadcast channel
C) The multiple-access channel
D) The wiretap channel
  • 51. What type of channel involves intermediary helpers?
A) The multiple-access channel
B) The broadcast channel
C) The wiretap channel
D) The relay channel
  • 52. What should joint entropy not be confused with despite similar notation?
A) Mutual information
B) Conditional entropy
C) Kullback-Leibler divergence
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) -log2(pi)
B) 1 / pi
C) log2(pi)
D) -ln(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 median
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) 1952
B) 1948
C) 1960
D) 1939
  • 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) Molecular biology
B) Telecommunication
C) Artificial intelligence
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) 0.5 bits
C) Zero
D) 2 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) DSL
B) Compact discs
C) ZIP files
D) Voyager missions
  • 62. What is an example of channel coding mentioned in the text?
A) DSL
B) ZIP files
C) Artificial intelligence
D) Mobile phones
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Voyager missions
B) Hubble telescope
C) Curiosity rover
D) Apollo missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Steam engine
B) Television
C) Compact disc
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 printing press
B) The postal service
C) The Internet
D) The telegraph network
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Distributed computing
B) Optical computing
C) Quantum computing
D) Cloud 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) Vocal cord anatomy
B) Music
C) Musical instrument design
D) Acoustic room resonance
  • 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) Vannevar Bush
B) James Gleick
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) 1948
B) 1928
C) 1939
D) 1940
  • 73. To whom did Shannon write a letter outlining initial ideas of information theory in 1939?
A) Alan Turing
B) Ludwig Boltzmann
C) Vannevar Bush
D) James Gleick
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Claude Shannon
B) Ralph Hartley
C) Harry Nyquist
D) Alan Turing
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) E = mc2
B) PV = nRT
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 baud
C) The bit
D) The decimal digit
  • 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) Harry Nyquist
D) Alan Turing
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Harry Nyquist
B) Vannevar Bush
C) Rolf Landauer
D) James Gleick
  • 79. What logarithmic base is the bit or shannon based on?
A) Binary logarithm
B) Common logarithm
C) Decimal logarithm
D) Natural 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) Base-e logarithm
B) Natural logarithm
C) Common logarithm
D) Binary logarithm
  • 82. What does the maximum value of entropy represent?
A) The most predictable state
B) The most unpredictable state
C) The lowest possible information content
D) A deterministic sequence
  • 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) An equiprobable trial
C) A logarithmic trial
D) A Markov trial
  • 85. What is another name for conditional entropy?
A) Joint entropy
B) Equivocation
C) Mutual information
D) Marginal entropy
  • 86. What is another name for mutual information according to the text?
A) Kullback-Leibler divergence
B) Log-likelihood ratio
C) Pointwise mutual information
D) Transinformation
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Macroeconomics
B) Quantum mechanics
C) Thermodynamics
D) Communication
  • 88. Mutual information can be expressed as the average of which divergence?
A) Jensen-Shannon divergence
B) Mahalanobis distance
C) Kullback-Leibler divergence
D) Euclidean 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) Inner product
B) Euclidean metric
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) Neither
D) Both
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Alice
B) Bob
C) Both will be equally surprised
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) A discrete set
C) An infinite continuous set
D) An empty set
  • 94. Does directed information apply to statistical physics?
A) No
B) Yes
C) Only in quantum states
D) Only in macroscopic mechanics
  • 95. What does the random process Xn consist of?
A) {X0, X1, ..., X_{n-1}}
B) {X1, Y1, ..., X_n, Y_n}
C) {X1, X2, ..., X_n}
D) {Y1, Y2, ..., Y_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) An undefined value
B) Completely different results
C) A result of zero
D) The same result
  • 97. How is the noise nature of the channel considered in the text?
A) An inherent fixed property
B) A completely controllable variable
C) A negligible factor in modern systems
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) Erases the input bit
B) Flips the input bit
C) Delays the input bit
D) Duplicates the input bit
  • 100. What feature do many channels have in practice?
A) Ternary input
B) Zero capacity
C) Gaussian noise
D) Memory
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