Leonid Mityushin - Academia.edu (original) (raw)

Leonid Mityushin

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Papers by Leonid Mityushin

Research paper thumbnail of A model of random merging of segments

Problems of Information Transmission, Jul 1, 2013

We consider a growing set U of segments with integer endpoints on a line. For every pair of adjac... more We consider a growing set U of segments with integer endpoints on a line. For every pair of adjacent segments, their union is added to U with probability q. At the beginning, U contains all segments of length from 1 to m. Let h n be the probability that the segment [a, a + n] will be created; the critical value q c (m) is defined as sup{q | lim nā†’āˆž h n = 0}. Lower and upper bounds for q c (m) are obtained.

Research paper thumbnail of On Mixing in Complex Markov Chains with Variable Memory Depth

Theory of Probability and Its Applications, Dec 1, 1988

Research paper thumbnail of Multivalue sets for monotonic mappings and demand mappings

Siberian Mathematical Journal, 1986

Research paper thumbnail of Criteria for Monotonicity of Demand Functions

RePEc: Research Papers in Economics, 1978

Research paper thumbnail of Interactive Resolution of Intrinsic and Translational Ambiguity in a Machine Translation System

The paper presents the module of interactive word sense disambiguation and syntactic ambiguity re... more The paper presents the module of interactive word sense disambiguation and syntactic ambiguity resolution used within a machine translation system, ETAP-3. The method applied consists in asking the user to identify a word sense, or a syntactic interpretation, whenever the system lacks reliable data to make the choice automatically. In lexical disambiguation, part of man-machine dialogue refers to the analysis phase, while the other part is activated during transfer. For this purpose, entries of the working dictionaries of the system are supplemented with clear diagnostic comments and illustrations that enable the user to choose the most appropriate option and in this way channel the course of system operation.

Research paper thumbnail of Criteria for Monotonicity of Demand Functions

We formulate a simple necessary and sufficient condition of monotonicity of a consumer's dema... more We formulate a simple necessary and sufficient condition of monotonicity of a consumer's demand function in terms of the first and second derivatives of the consumer's utility function.

Research paper thumbnail of Experiments on human incremental parsing of English

Experiments have been carried out in which human subjects incrementally constructed dependency tr... more Experiments have been carried out in which human subjects incrementally constructed dependency trees of English sentences. The subjects were successively presented with growing initial segments of a sentence, and had to draw syntactic links between the last word of the segment and the previous words. They were also shown a fixed number of lookahead words following the last word of the segment. The results of the experiments show that lookahead of 1 or 2 words is sufficient for confident incremental parsing of English declarative sentences.

Research paper thumbnail of Experiments on human incremental parsing

Proceedings of the Fifth International Conference on Dependency Linguistics (Depling, SyntaxFest 2019)

Research paper thumbnail of On sets of ambiguity of monotone mappings and of mappings of demand

Research paper thumbnail of On mixing for complex Markov chains with varying memory depth

Research paper thumbnail of Masses of particles in a random walk with coalescence

Research paper thumbnail of Decrease of the dependence on the initial state in some multicomponent Markov systems

Problemy Peredachi Informatsii

Research paper thumbnail of Interactive Resolution of Intrinsic and Translational Ambiguity in a Machine Translation System

Lecture Notes in Computer Science, 2005

Research paper thumbnail of Criteria for monotonicity ofdemand functions

Research paper thumbnail of On Mixing in Complex Markov Chains with Variable Memory Depth

Theory of Probability & Its Applications, 1988

Research paper thumbnail of Multivalue sets for monotonic mappings and demand mappings

Siberian Mathematical Journal, 1986

Research paper thumbnail of A model of random merging of segments

Problems of Information Transmission, 2013

Research paper thumbnail of A model of random merging of segments

Problems of Information Transmission, 2013

Research paper thumbnail of A model of random merging of segments

Problems of Information Transmission, Jul 1, 2013

We consider a growing set U of segments with integer endpoints on a line. For every pair of adjac... more We consider a growing set U of segments with integer endpoints on a line. For every pair of adjacent segments, their union is added to U with probability q. At the beginning, U contains all segments of length from 1 to m. Let h n be the probability that the segment [a, a + n] will be created; the critical value q c (m) is defined as sup{q | lim nā†’āˆž h n = 0}. Lower and upper bounds for q c (m) are obtained.

Research paper thumbnail of On Mixing in Complex Markov Chains with Variable Memory Depth

Theory of Probability and Its Applications, Dec 1, 1988

Research paper thumbnail of Multivalue sets for monotonic mappings and demand mappings

Siberian Mathematical Journal, 1986

Research paper thumbnail of Criteria for Monotonicity of Demand Functions

RePEc: Research Papers in Economics, 1978

Research paper thumbnail of Interactive Resolution of Intrinsic and Translational Ambiguity in a Machine Translation System

The paper presents the module of interactive word sense disambiguation and syntactic ambiguity re... more The paper presents the module of interactive word sense disambiguation and syntactic ambiguity resolution used within a machine translation system, ETAP-3. The method applied consists in asking the user to identify a word sense, or a syntactic interpretation, whenever the system lacks reliable data to make the choice automatically. In lexical disambiguation, part of man-machine dialogue refers to the analysis phase, while the other part is activated during transfer. For this purpose, entries of the working dictionaries of the system are supplemented with clear diagnostic comments and illustrations that enable the user to choose the most appropriate option and in this way channel the course of system operation.

Research paper thumbnail of Criteria for Monotonicity of Demand Functions

We formulate a simple necessary and sufficient condition of monotonicity of a consumer's dema... more We formulate a simple necessary and sufficient condition of monotonicity of a consumer's demand function in terms of the first and second derivatives of the consumer's utility function.

Research paper thumbnail of Experiments on human incremental parsing of English

Experiments have been carried out in which human subjects incrementally constructed dependency tr... more Experiments have been carried out in which human subjects incrementally constructed dependency trees of English sentences. The subjects were successively presented with growing initial segments of a sentence, and had to draw syntactic links between the last word of the segment and the previous words. They were also shown a fixed number of lookahead words following the last word of the segment. The results of the experiments show that lookahead of 1 or 2 words is sufficient for confident incremental parsing of English declarative sentences.

Research paper thumbnail of Experiments on human incremental parsing

Proceedings of the Fifth International Conference on Dependency Linguistics (Depling, SyntaxFest 2019)

Research paper thumbnail of On sets of ambiguity of monotone mappings and of mappings of demand

Research paper thumbnail of On mixing for complex Markov chains with varying memory depth

Research paper thumbnail of Masses of particles in a random walk with coalescence

Research paper thumbnail of Decrease of the dependence on the initial state in some multicomponent Markov systems

Problemy Peredachi Informatsii

Research paper thumbnail of Interactive Resolution of Intrinsic and Translational Ambiguity in a Machine Translation System

Lecture Notes in Computer Science, 2005

Research paper thumbnail of Criteria for monotonicity ofdemand functions

Research paper thumbnail of On Mixing in Complex Markov Chains with Variable Memory Depth

Theory of Probability & Its Applications, 1988

Research paper thumbnail of Multivalue sets for monotonic mappings and demand mappings

Siberian Mathematical Journal, 1986

Research paper thumbnail of A model of random merging of segments

Problems of Information Transmission, 2013

Research paper thumbnail of A model of random merging of segments

Problems of Information Transmission, 2013

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