Information theory - 测验
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Cryptographic use
B) Bioinformatics
C) Gambling
D) Seismic exploration
  • 2. What must cryptographically secure pseudorandom number generators have to work as intended?
A) Analog processing methods
B) Integrated neural clusters
C) High Shannon entropy
D) Random seeds external to the software
  • 3. How can random seeds for pseudorandom generators be obtained?
A) By using semiotic signs
B) Through Shannon entropy
C) Via digital noise
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) Conditional entropy
C) Thermal entropy
D) Algorithmic entropy
  • 6. Where is Rényi entropy also used?
A) In minimizing free energy
B) In evaluating randomness in cryptographic systems
C) In semiotic code control
D) In seismic oil exploration
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Yes
B) No
C) Only in cryptographic systems
D) Only for pseudorandom numbers
  • 8. What was one early commercial application of information theory?
A) Seismic oil exploration
B) Black hole analysis
C) Bioinformatics
D) Search for extraterrestrial intelligence
  • 9. What did information theory make it possible to do in seismic exploration?
A) Minimize free energy in the brain
B) Strip off and separate unwanted noise from the desired seismic signal
C) Decode dominant social messages
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) 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) Gerald Edelman and Giulio Tononi
B) Umberto Eco and Ferruccio Rossi-Landi
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 separation of unwanted noise from seismic signals
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) 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 using signs that exhibit a high degree of redundancy
C) Through digital signal processing of seismic signals
D) By applying the free energy principle
  • 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 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 issue of seismic noise filtering
B) The paradox of extraterrestrial intelligence
C) The problem of algorithmic complexity
D) The binding problem in cognitive neuroscience
  • 17. Whose functional clustering model and dynamic core hypothesis define an information-theoretical measure in neural processing?
A) R.V.L. Hartley and C.E. Shannon
B) Doede Nauta and Winfried Nöth
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) Seismic signal processing
C) Effective information
D) Shannon entropy
  • 19. What underlies the definition of measures in the context of neural information organization?
A) Analog methods of data transmission
B) A high degree of redundancy in signs
C) External cryptographic random seeds
D) A reentrant process organization
  • 20. What does a reentrant process organization refer to?
A) The coding and filtering processes studied in semiotics
B) The filtering of unwanted noise from desired seismic signals
C) The generation of pseudorandom numbers using extractors
D) The synchronization of neurophysiological activity between groups of neuronal populations
  • 21. Whose free energy principle (FEP) states that every adaptive change leads to a minimization of free energy?
A) Charles Sanders Peirce
B) Karl J. Friston
C) Gerald Edelman
D) Giulio Tononi
  • 22. What type of system does the free energy principle apply to?
A) An analog seismic receiver
B) A self-organized system
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 integrated information theory
B) The Bayesian brain hypothesis
C) The semiotic information theory
D) The dynamic core hypothesis
  • 24. Which field, aside from cryptography and seismology, has applications in information theory?
A) Astrology
B) Alchemy
C) Search for extraterrestrial intelligence
D) Phrenology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Seismic waves
B) Tectonic plates
C) Black holes
D) Neural clusters
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biochemistry
B) Biomechanics
C) Bioinformatics
D) Biophysics
  • 27. What recreational activity is listed as an application of information theory?
A) Cipher creation
B) Chess
C) Gambling
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) 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) Charles Sanders Peirce
B) Winfried Nöth
C) Karl J. Friston
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) Free energy principle
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 single organ
D) A network
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Distinct physiological states
B) Information theory units
C) Symmetric keys
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) Why it ceases permanently
D) How it occurs
  • 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) Underground bunker environments
C) Extreme environments
D) Simulated virtual environments
  • 37. What was the name of Turing's information unit used in the Ultra project?
A) The shannon
B) The bit
C) The byte
D) The ban
  • 38. In which project was Turing's information unit used?
A) The Enigma project
B) The Ultra project
C) The Unicity project
D) The Venona 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) One-time pad code
D) Symmetric key code
  • 40. What does information theory lead us to believe about keeping secrets?
A) It is extremely easy using symmetric keys
B) It requires no computational effort
C) It is completely impossible under any circumstances
D) It is much more difficult than it might first appear
  • 41. What kind of attack can break systems based on asymmetric or symmetric key algorithms?
A) An information-theoretic attack
B) A brute force attack
C) A network physiology attack
D) A conditional mutual attack
  • 42. What are symmetric key algorithms sometimes called?
A) One-time pads
B) Asymmetric algorithms
C) Secret key algorithms
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) Block ciphers
D) Bans
  • 44. What must be used correctly even when applying information-theoretically secure methods?
A) Block ciphers
B) Care
C) Transfer entropy
D) Brute force
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Ultra project
B) The Venona project
C) The Enigma project
D) The Network Physiology project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Channel coding
B) Lossless data compression
C) Lossy data compression
D) Rate-distortion theory
  • 47. What justifies the division of coding theory into compression and transmission?
A) Channel resolvability
B) Rate-distortion theory
C) Source-channel separation theorems
D) Pragmatic information
  • 48. What do source-channel separation theorems justify the use of as the universal currency for information?
A) Entropy
B) Distortion functions
C) Bytes
D) Bits
  • 49. What type of channel involves more than one transmitter?
A) The wiretap channel
B) The broadcast channel
C) The multiple-access channel
D) The relay channel
  • 50. What type of channel involves more than one receiver?
A) The wiretap channel
B) The multiple-access channel
C) The relay channel
D) The broadcast 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) Kullback-Leibler divergence
B) Cross-entropy
C) Mutual information
D) Conditional 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) -ln(pi)
D) -log2(pi)
  • 55. What is the entropy H relative to the surprisal of all possible symbols?
A) The geometric mean
B) The maximum value
C) The weighted average
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) 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) 1960
C) 1948
D) 1939
  • 58. In what decade was information theory established and formalized?
A) 1930s
B) 1940s
C) 1920s
D) 1950s
  • 59. In what context was information theory initially formed?
A) Molecular biology
B) Quantum computing
C) Artificial intelligence
D) Telecommunication
  • 60. What is the entropy of a coin flip when you already know the outcome after it has landed?
A) 0.5 bits
B) 1 bit
C) Zero
D) 2 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) DSL
B) Voyager missions
C) Compact discs
D) ZIP files
  • 62. What is an example of channel coding mentioned in the text?
A) Artificial intelligence
B) Mobile phones
C) DSL
D) ZIP files
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Apollo missions
B) Voyager missions
C) Curiosity rover
D) Hubble telescope
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Radio
C) Steam engine
D) Compact disc
  • 65. What technology's feasibility was made possible by information theory?
A) Automobiles
B) Electric guitars
C) Mobile phones
D) Airplanes
  • 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) Optical computing
B) Cloud computing
C) Distributed computing
D) Quantum computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Architectural drafting
B) Art creation
C) Oil painting restoration
D) Sculpture casting
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Music
B) Vocal cord anatomy
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) Ralph Hartley
D) Harry Nyquist
  • 72. In what year did Shannon outline some of his initial ideas in a letter to Vannevar Bush?
A) 1940
B) 1939
C) 1948
D) 1928
  • 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) Ralph Hartley
B) Harry Nyquist
C) Alan Turing
D) Claude Shannon
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) W = K log m
B) E = mc2
C) H = log Sn
D) PV = nRT
  • 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) Harry Nyquist
C) Ralph Hartley
D) Alan Turing
  • 78. Who made important contributions connecting information-theoretic entropy and thermodynamic entropy in the 1960s?
A) Rolf Landauer
B) James Gleick
C) Vannevar Bush
D) Harry Nyquist
  • 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) Base-two logarithm
B) Natural logarithm
C) Common logarithm
D) Binary logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Common logarithm
B) Natural logarithm
C) Binary logarithm
D) Base-e logarithm
  • 82. What does the maximum value of entropy represent?
A) The lowest possible information content
B) The most unpredictable state
C) The most predictable state
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 Markov trial
B) An equiprobable trial
C) A Bernoulli trial
D) A logarithmic trial
  • 85. What is another name for conditional entropy?
A) Equivocation
B) Marginal entropy
C) Joint entropy
D) Mutual information
  • 86. What is another name for mutual information according to the text?
A) Transinformation
B) Kullback-Leibler divergence
C) Pointwise mutual information
D) Log-likelihood ratio
  • 87. In what field is mutual information particularly important for maximizing shared information between sent and received signals?
A) Communication
B) Macroeconomics
C) Thermodynamics
D) Quantum mechanics
  • 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) Shapiro-Wilk test
D) Log-likelihood ratio test
  • 90. What type of mathematical function is the KL divergence classified as?
A) Euclidean metric
B) Linear transformation
C) Inner product
D) Semi-quasimetric
  • 91. In the alternative interpretation involving Alice and Bob, who knows the true probability distribution p(x)?
A) Both
B) Alice
C) Neither
D) Bob
  • 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) Both will be equally surprised
D) Bob
  • 93. What type of set is X assumed to be when drawing a random number in the surprise interpretation?
A) An infinite continuous set
B) A discrete set
C) An empty 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) Yes
D) No
  • 95. What does the random process Xn consist of?
A) {X0, X1, ..., X_{n-1}}
B) {Y1, Y2, ..., Y_n}
C) {X1, Y1, ..., X_n, Y_n}
D) {X1, X2, ..., X_n}
  • 96. What do the two expressions for the rate give for stationary sources?
A) A result of zero
B) An undefined value
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) An unpredictable random variable that changes constantly
C) A negligible factor in modern systems
D) A completely controllable variable
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) Hb
B) i
C) e
D) p
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Duplicates the input bit
B) Erases the input bit
C) Delays the input bit
D) Flips the input bit
  • 100. What feature do many channels have in practice?
A) Memory
B) Gaussian noise
C) Zero capacity
D) Ternary input
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