Information theory - 测验
Information theory
  • 1. What are pseudorandom number generators in computer language libraries almost universally unsuited for?
A) Seismic exploration
B) Cryptographic use
C) Gambling
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) 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) Dynamic core hypothesis
B) Min-entropy
C) Free energy
D) Effective information
  • 5. Min-entropy is related to Shannon entropy through which other type of entropy?
A) Algorithmic entropy
B) Conditional entropy
C) Rényi entropy
D) Thermal entropy
  • 6. Where is Rényi entropy also used?
A) In minimizing free energy
B) In seismic oil exploration
C) In evaluating randomness in cryptographic systems
D) In semiotic code control
  • 7. Does a random variable with high Shannon entropy guarantee it is satisfactory for use in an extractor?
A) Only in cryptographic systems
B) No
C) Yes
D) Only for pseudorandom numbers
  • 8. What was one early commercial application of information theory?
A) Bioinformatics
B) Black hole analysis
C) Search for extraterrestrial intelligence
D) Seismic oil exploration
  • 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) Information theory and digital signal processing
B) Extractors and Rényi entropy
C) Free energy principles
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) Karl J. Friston and Andrey Kolmogorov
C) Gerald Edelman and Giulio Tononi
D) Umberto Eco and Ferruccio Rossi-Landi
  • 12. How did Doede Nauta define semiotic information theory?
A) The minimization of free energy in a self-organized system
B) The separation of unwanted noise from seismic signals
C) The study of the internal processes of coding, filtering, and information processing
D) The measurement of sufficient randomness in extractors
  • 13. Which semioticians used concepts like redundancy and code control to explain ideology?
A) Doede Nauta and Winfried Nöth
B) Umberto Eco and Ferruccio Rossi-Landi
C) C.E. Shannon and R.V.L. Hartley
D) Gerald Edelman and Karl J. Friston
  • 14. In semiotic explanations of ideology, how does a dominant social class emit its message?
A) By using signs that exhibit a high degree of redundancy
B) By applying the free energy principle
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 analyze the integrated process organization of neural information
B) To study black holes and bioinformatics
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 issue of seismic noise filtering
B) The problem of algorithmic complexity
C) The binding problem in cognitive neuroscience
D) The paradox of extraterrestrial intelligence
  • 17. Whose functional clustering model and dynamic core hypothesis define an information-theoretical measure in neural processing?
A) Doede Nauta and Winfried Nöth
B) Umberto Eco and Ferruccio Rossi-Landi
C) Gerald Edelman and Giulio Tononi
D) R.V.L. Hartley and C.E. Shannon
  • 18. What is Giulio Tononi's integrated information theory (IIT) of consciousness based on?
A) Effective information
B) Shannon entropy
C) Min-entropy
D) Seismic signal processing
  • 19. What underlies the definition of measures in the context of neural information organization?
A) A high degree of redundancy in signs
B) Analog methods of data transmission
C) External cryptographic random seeds
D) A reentrant process organization
  • 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 filtering of unwanted noise from desired seismic signals
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) 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) An analog seismic receiver
B) A dominant social class
C) A cryptographic random number generator
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 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) Phrenology
B) Search for extraterrestrial intelligence
C) Alchemy
D) Astrology
  • 25. Which physical phenomenon is listed alongside extraterrestrial intelligence as having applications for information theory?
A) Black holes
B) Neural clusters
C) Tectonic plates
D) Seismic waves
  • 26. What life-science field is mentioned as having applications in information theory?
A) Biochemistry
B) Bioinformatics
C) Biophysics
D) Biomechanics
  • 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) R.V.L. Hartley
B) Doede Nauta
C) Umberto Eco
D) Gerald Edelman
  • 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) Karl J. Friston
B) Winfried Nöth
C) Andrey Kolmogorov
D) Charles Sanders Peirce
  • 31. What is the historical figure H.P. Yockey associated with in the text?
A) Free energy principle
B) Integrated information theory
C) History of information theory
D) Dynamic core hypothesis
  • 32. What do physiological systems use information theory to exchange, process, and integrate as?
A) A block cipher
B) A single organ
C) A network
D) A brute force attack
  • 33. What do physiological systems generate alongside functions in health and disease?
A) Unicity distances
B) Symmetric keys
C) Information theory units
D) Distinct physiological states
  • 34. What does network cross-communication and regulation reveal within the organism?
A) Why brute force attacks succeed
B) Why it ceases permanently
C) How it occurs
D) How encryption keys are generated
  • 35. Which interactions are listed as applications of information-theoretic approaches in physiology?
A) Enigma machine interactions
B) Cryptographic interactions
C) Cardio-respiratory interactions
D) One-time pad interactions
  • 36. In what kind of environments is network physiology applied according to the text?
A) Simulated virtual environments
B) Cryogenic laboratory 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 ban
B) The byte
C) The shannon
D) The bit
  • 38. In which project was Turing's information unit used?
A) The Unicity project
B) The Ultra project
C) The Venona project
D) The Enigma project
  • 39. What German machine code was broken during World War II with the help of the ban?
A) Enigma machine code
B) Symmetric key code
C) One-time pad code
D) Lorenz cipher code
  • 40. What does information theory lead us to believe about keeping secrets?
A) It is extremely easy using symmetric keys
B) It is completely impossible under any circumstances
C) It requires no computational effort
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) A conditional mutual attack
B) A network physiology attack
C) An information-theoretic attack
D) A brute force attack
  • 42. What are symmetric key algorithms sometimes called?
A) Unicity distance algorithms
B) Asymmetric algorithms
C) Secret key algorithms
D) One-time pads
  • 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) Brute force
C) Care
D) Transfer entropy
  • 45. Which project was able to crack the one-time pads of the Soviet Union?
A) The Ultra project
B) The Enigma project
C) The Network Physiology project
D) The Venona project
  • 46. In which type of data compression must the data be reconstructed exactly?
A) Rate-distortion theory
B) Lossless data compression
C) Channel coding
D) Lossy data compression
  • 47. What justifies the division of coding theory into compression and transmission?
A) Pragmatic information
B) Rate-distortion theory
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) Distortion functions
B) Entropy
C) Bits
D) Bytes
  • 49. What type of channel involves more than one transmitter?
A) The wiretap channel
B) The relay channel
C) The broadcast channel
D) The multiple-access channel
  • 50. What type of channel involves more than one receiver?
A) The wiretap channel
B) The multiple-access channel
C) The broadcast channel
D) The relay 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) Cross-entropy
C) Kullback-Leibler divergence
D) Conditional entropy
  • 53. What type of space does the vector give values in for joint entropy?
A) Product space
B) Euclidean space
C) Metric space
D) Vector 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) 1 shannon
B) 1000 shannons
C) No information
D) 2000 bits
  • 57. In what year was Claude Shannon's paper 'A Mathematical Theory of Communication' published?
A) 1948
B) 1952
C) 1939
D) 1960
  • 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) Quantum computing
B) Molecular biology
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) 2 bits
B) 1 bit
C) Zero
D) 0.5 bits
  • 61. What is an example of source coding or data compression mentioned in the text?
A) Compact discs
B) ZIP files
C) DSL
D) Voyager missions
  • 62. What is an example of channel coding mentioned in the text?
A) Mobile phones
B) ZIP files
C) DSL
D) Artificial intelligence
  • 63. Whose success was crucially impacted by information theory regarding deep space missions?
A) Voyager missions
B) Curiosity rover
C) Hubble telescope
D) Apollo missions
  • 64. Which invention's success was crucially impacted by information theory?
A) Television
B) Steam engine
C) Compact disc
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 telegraph network
B) The printing press
C) The postal service
D) The Internet
  • 67. Which computational paradigm is listed alongside artificial intelligence as an application of information theory?
A) Optical computing
B) Quantum computing
C) Distributed computing
D) Cloud computing
  • 68. Which of the following artistic applications is mentioned as a use case for information theory?
A) Sculpture casting
B) Art creation
C) Architectural drafting
D) Oil painting restoration
  • 69. What specific musical topic is analyzed using information theory according to the text?
A) Acoustic room resonance
B) Vocal cord anatomy
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) Metaphysics
B) Aesthetics
C) Epistemology
D) Ethics
  • 71. Which historian rated Shannon's 1948 paper as the most important development of 1948?
A) Ralph Hartley
B) Vannevar Bush
C) James Gleick
D) Harry Nyquist
  • 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) James Gleick
B) Ludwig Boltzmann
C) Alan Turing
D) Vannevar Bush
  • 74. Who wrote the 1924 paper 'Certain Factors Affecting Telegraph Speed'?
A) Harry Nyquist
B) Alan Turing
C) Ralph Hartley
D) Claude Shannon
  • 75. What relation was given in Harry Nyquist's 1924 paper?
A) H = log Sn
B) W = K log m
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 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) Harry Nyquist
B) Ralph Hartley
C) Claude Shannon
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) Harry Nyquist
D) Vannevar Bush
  • 79. What logarithmic base is the bit or shannon based on?
A) Binary logarithm
B) Natural logarithm
C) Common logarithm
D) Decimal logarithm
  • 80. What logarithmic base is the nat based on?
A) Base-two logarithm
B) Binary logarithm
C) Common logarithm
D) Natural logarithm
  • 81. What logarithmic base is the decimal digit based on?
A) Binary logarithm
B) Common logarithm
C) Base-e logarithm
D) Natural logarithm
  • 82. What does the maximum value of entropy represent?
A) The most predictable state
B) The most unpredictable state
C) A deterministic sequence
D) The lowest possible information content
  • 83. What logarithmic base measures entropy in bytes per symbol?
A) Base-10
B) Base-2
C) Base-256
D) Base-e
  • 84. What type of trial has two outcomes for the binary entropy function?
A) A Bernoulli trial
B) An equiprobable trial
C) A Markov 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) Pointwise mutual information
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) Thermodynamics
B) Macroeconomics
C) Communication
D) Quantum mechanics
  • 88. Mutual information can be expressed as the average of which divergence?
A) Euclidean distance
B) Mahalanobis distance
C) Jensen-Shannon divergence
D) Kullback-Leibler divergence
  • 89. With which statistical test is mutual information closely related in the context of contingency tables?
A) Shapiro-Wilk test
B) Log-likelihood ratio test
C) Mann-Whitney U test
D) Student's t-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) Neither
B) Bob
C) Both
D) Alice
  • 92. According to the surprise interpretation, who will be more surprised on average upon seeing the value of X?
A) Alice
B) It is impossible to determine
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) A discrete set
B) An empty set
C) A finite geometric set
D) An infinite continuous set
  • 94. Does directed information apply to statistical physics?
A) Only in quantum states
B) No
C) Only in macroscopic mechanics
D) Yes
  • 95. What does the random process Xn consist of?
A) {X1, X2, ..., X_n}
B) {X1, Y1, ..., X_n, Y_n}
C) {Y1, Y2, ..., Y_n}
D) {X0, X1, ..., X_{n-1}}
  • 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 unpredictable random variable that changes constantly
B) A completely controllable variable
C) A negligible factor in modern systems
D) An inherent fixed property
  • 98. What is the crossover probability of a binary symmetric channel denoted as?
A) Hb
B) e
C) p
D) i
  • 99. What does a binary symmetric channel do to the input bit with probability p?
A) Duplicates the input bit
B) Delays the input bit
C) Flips the input bit
D) Erases the input bit
  • 100. What feature do many channels have in practice?
A) Memory
B) Zero capacity
C) Gaussian noise
D) Ternary input
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