Abstract: A non-transitory computer-readable storage medium storing a solution search program that causes at least one computer to execute a process, the process includes reducing, when searching for a ground state of the Ising model that represents a problem by obtaining a state change of the Ising model, a strength of a magnetic field applied to the Ising model according to a first annealing schedule from an initial state of the Ising model; and reducing, after a quantum phase transition occurs in the Ising model, the strength of the magnetic field according to a second annealing schedule.

Abstract: An optimization apparatus finds the ground state of an Ising model that represents a target problem by running a simulation of state changes of the Ising model that occur upon reduction in a magnetic field applied to the Ising model. In doing so, the optimization apparatus adds a value corresponding to noise to some of coefficients used in the simulation. Then, the optimization apparatus performs a first process of real time propagation of reducing strength of the magnetic field as time in the simulation progresses and a second process of reducing energy of the Ising model based on an imaginary time propagation method.

Abstract: A method for controlling an optimization device, the method comprising: obtaining a value of a state variable included in an evaluation function obtained by converting a problem stored in a storage unit; and performing a search for a minimum value of the evaluation function by repeating a process of updating the value of the state variable by a Markov chain Monte Carlo method based on a transition probability distribution that is represented by a function by which it is possible to normalize to one a sum of probabilities of transition from a current state represented by a current value of the state variable to each of a plurality of different states, in which a transition probability becomes larger than in a Boltzmann distribution as a change in the value of the evaluation function due to a change in the value of the state variable is positively larger.

Abstract: A non-transitory computer-readable storage medium storing a solution search program that causes at least one computer to execute a process, the process includes reducing, when searching for a ground state of the Ising model that represents a problem by obtaining a state change of the Ising model, a strength of a magnetic field applied to the Ising model according to a first annealing schedule from an initial state of the Ising model; and reducing, after a quantum phase transition occurs in the Ising model, the strength of the magnetic field according to a second annealing schedule.

Abstract: An optimization method executed by a computer upon attempting to solve a ground state of an Ising model by simulating a state change of the Ising model when a magnetic field applied to the Ising model is reduced, the Ising model representing a problem to be solved, the method including: executing a first process, the first process being a real time propagation in which an intensity of the magnetic field is reduced with progress of time in simulation; and in response to the progress of time in the real time propagation of the first process, executing a second process, the second process including reducing energy of the Ising model based on an imaginary time propagation method.

Abstract: A site specifying device, includes a memory; and a processor coupled to the memory and the processor configured to: store three-dimensional model data indicating a three-dimensional model of an object, display the three-dimensional model based on the three-dimensional model data, and select from the three-dimensional model a site in a range of a depth specified toward an inner side of the three-dimensional model from a region surrounded by a closed curve on a surface of the three-dimensional model according to an input of the closed curve to the surface of the displayed three-dimensional model and an input to specify the depth from the surface of the three-dimensional model.

Abstract: A recording medium stores an optimization program for causing a computer to execute a process including: acquiring information on an evaluation function obtained by converting a problem; determining values of temperature parameters used for solution processing of an optimal solution by a replica exchange method; setting each of values of the temperature parameters to any one of replicas; and executing the solution processing by performing, for each of the replicas, update processing of repeating update of any value of state variables included in the evaluation function in accordance with a first transition probability, and repeating exchange processing of exchanging, between the replicas, any values of the temperature parameters set for each of the replicas or values of the state variables in each of the replicas, in accordance with an exchange probability that satisfies an invariant distribution condition of probability distribution obtained by the first transition probability.

Abstract: A visualization apparatus detects a change in the shape of a solid model of a human body part based on images obtained by capturing the solid model. Next, the visualization apparatus generates a three-dimensional model reproducing the shape of the human body part in virtual space based on three-dimensional model data representing the shape of the human body part in three dimensions. The visualization apparatus further transforms the shape of the three-dimensional model into a transformed three-dimensional model in accordance with the change in the shape of the solid model. Then, the visualization apparatus outputs images of the transformed three-dimensional model.

Abstract: An optimization apparatus finds the ground state of an Ising model that represents a target problem by running a simulation of state changes of the Ising model that occur upon reduction in a magnetic field applied to the Ising model. In doing so, the optimization apparatus adds a value corresponding to noise to some of coefficients used in the simulation. Then, the optimization apparatus performs a first process of real time propagation of reducing strength of the magnetic field as time in the simulation progresses and a second process of reducing energy of the Ising model based on an imaginary time propagation method.

Abstract: An optimization method executed by a computer upon attempting to solve a ground state of an Ising model by simulating a state change of the Ising model when a magnetic field applied to the Ising model is reduced, the Ising model representing a problem to be solved, the method including: executing a first process, the first process being a real time propagation in which an intensity of the magnetic field is reduced with progress of time in simulation; and in response to the progress of time in the real time propagation of the first process, executing a second process, the second process including reducing energy of the Ising model based on an imaginary time propagation method.

Abstract: An optimizer includes a memory and a processor coupled to the memory and configured to obtain specific heat information indicating a relationship between a specific heat indicating a degree of variation of energy according to a temperature variation and a temperature, and determine a plurality of temperature values to be respectively set for a plurality of replicas when an optimum value of energy functions is obtained by a replica exchange method based on the specific heat information.

Abstract: A method for controlling an optimization device, the method comprising: obtaining a value of a state variable included in an evaluation function obtained by converting a problem stored in a storage unit; and performing a search for a minimum value of the evaluation function by repeating a process of updating the value of the state variable by a Markov chain Monte Carlo method based on a transition probability distribution that is represented by a function by which it is possible to normalize to one a sum of probabilities of transition from a current state represented by a current value of the state variable to each of a plurality of different states, in which a transition probability becomes larger than in a Boltzmann distribution as a change in the value of the evaluation function due to a change in the value of the state variable is positively larger.

Abstract: A streakline visualization apparatus sets a partial region including a discrete point at a first position on a first streakline in an analysis space as an analysis target region of the discrete point. Based on a velocity of fluid in the analysis target region indicated by fluid information, the apparatus calculates a second position indicating a destination of a particle on the discrete point at a second analysis time point. Next, based on information about a structure in the analysis target region indicated by structure information, the apparatus determines a region occupied by the structure in the analysis target region at the second analysis time point. Next, based on the first and second positions, the apparatus determines whether a second streakline has entered the occupied region. If the second streakline has not entered the occupied region, the apparatus displays the second streakline passing through the second position.

Abstract: A streakline visualization apparatus sets a partial region including a discrete point at a first position on a first streakline in an analysis space as an analysis target region of the discrete point. Based on a velocity of fluid in the analysis target region indicated by fluid information, the apparatus calculates a second position indicating a destination of a particle on the discrete point at a second analysis time point. Next, based on information about a structure in the analysis target region indicated by structure information, the apparatus determines a region occupied by the structure in the analysis target region at the second analysis time point. Next, based on the first and second positions, the apparatus determines whether a second streakline has entered the occupied region. If the second streakline has not entered the occupied region, the apparatus displays the second streakline passing through the second position.

Abstract: A site specifying device, includes a memory; and a processor coupled to the memory and the processor configured to: store three-dimensional model data indicating a three-dimensional model of an object, display the three-dimensional model based on the three-dimensional model data, and select from the three-dimensional model a site in a range of a depth specified toward an inner side of the three-dimensional model from a region surrounded by a closed curve on a surface of the three-dimensional model according to an input of the closed curve to the surface of the displayed three-dimensional model and an input to specify the depth from the surface of the three-dimensional model.

Abstract: In a streakline visualization apparatus, a processing unit calculates, by using an expression including a correction value for correcting an error attributable to accelerated motion of a plurality of grid points represented by position information, time differential values of velocities of fluid on the plurality of grid points at each of the plurality of first time points. The processing unit calculates, based on the velocities and the time differential values of the velocities of the fluid on the plurality of grid points at each of the plurality of first time points, positions of a series of a plurality of particles sequentially outputted from a particle generation source as analysis time progresses at each of a plurality of second time points having a second time interval shorter than the first time interval. The processing unit generates display information about a streakline indicating the series of the plurality of particles.

Abstract: A visualization apparatus detects a change in the shape of a solid model of a human body part based on images obtained by capturing the solid model. Next, the visualization apparatus generates a three-dimensional model reproducing the shape of the human body part in virtual space based on three-dimensional model data representing the shape of the human body part in three dimensions. The visualization apparatus further transforms the shape of the three-dimensional model into a transformed three-dimensional model in accordance with the change in the shape of the solid model. Then, the visualization apparatus outputs images of the transformed three-dimensional model.

Abstract: In a streakline visualization apparatus, a processing unit calculates, by using an expression including a correction value for correcting an error attributable to accelerated motion of a plurality of grid points represented by position information, time differential values of velocities of fluid on the plurality of grid points at each of the plurality of first time points. The processing unit calculates, based on the velocities and the time differential values of the velocities of the fluid on the plurality of grid points at each of the plurality of first time points, positions of a series of a plurality of particles sequentially outputted from a particle generation source as analysis time progresses at each of a plurality of second time points having a second time interval shorter than the first time interval. The processing unit generates display information about a streakline indicating the series of the plurality of particles.

Abstract: A streakline visualization apparatus sets a partial region including a discrete point at a first position on a first streakline in an analysis space as an analysis target region of the discrete point. Based on a velocity of fluid in the analysis target region indicated by fluid information, the apparatus calculates a second position indicating a destination of a particle on the discrete point at a second analysis time point. Next, based on information about a structure in the analysis target region indicated by structure information, the apparatus determines a region occupied by the structure in the analysis target region at the second analysis time point. Next, based on the first and second positions, the apparatus determines whether a second streakline has entered the occupied region. If the second streakline has not entered the occupied region, the apparatus displays the second streakline passing through the second position.

Abstract: A method for classifying data executed by a computer includes obtaining a plurality of data groups, each of the data groups including a plurality of data items about detected intensities being associated with physical index values, respectively; and classifying, based on identification information of each of the data groups and the physical index values, the data items included in the data groups into a plurality of clusters.