An apparatus and method are provided for spatial processing of concepts. Included is a non-transitory memory comprising a distance matrix and instructions, where the distance matrix includes values representing dissimilarities among a plurality of concepts stored in a knowledgebase. Further included is one or more processors in communication with the memory. The one or more processors execute the instructions to derive an inner product matrix, based on the distance matrix. Further, a spectral decomposition of the inner product matrix is performed. Based on the spectral decomposition of the inner product matrix, a plurality of concept vectors are generated. Information associated with the plurality of concept vectors is then output for spatial processing.
Please help me write a proper abstract based on the patent claims. CLAIM: 1. A processing device, comprising: a non-transitory memory comprising a distance matrix and instructions, with the distance matrix including values representing dissimilarities among a plurality of concepts stored in a knowledgebase; one or more processors in communication with the memory, wherein the one or more processors execute the instructions to: derive an inner product matrix based on the distance matrix; perform a spectral decomposition of the inner product matrix; generate a plurality of concept vectors based on the spectral decomposition of the inner product matrix; and output information associated with the plurality of concept vectors for spatial processing. 2. The processing device of claim 1, wherein the spectral decomposition of the inner product matrix is configured such that the plurality of concept vectors are generated with a dimension that is equal to a rank of the inner product matrix. 3. The processing device of claim 1, wherein the spectral decomposition of the inner product matrix is configured such that the plurality of concept vectors are generated with a dimension that is less than a rank of the inner product matrix. 4. The processing device of claim 1, wherein the one or more processors further execute the instructions to: receive user input including a dimension, wherein the plurality of concept vectors are generated with the dimension based on the spectral decomposition of the inner product matrix. 5. The processing device of claim 1, wherein the spatial processing includes displaying the information associated with the plurality of concept vectors. 6. The processing device of claim 1, wherein the spatial processing includes displaying the information associated with the plurality of concept vectors in Euclidean space. 7. The processing device of claim 1, wherein a concept of the plurality of concepts includes at least one word, a phrase, or a plurality of words of a sentence. 8. The processing device of claim 7, wherein the one or more processors further execute the instructions to assemble the plurality of concept vectors into a concept matrix representative of the sentence. 9. The processing device of claim I, wherein the spatial processing includes at least one of deep learning, text analysis, or clustering. 10. The processing device of claim 1, wherein the information associated with the plurality of concept vectors includes one or both of the plurality of concept vectors or information derived from the plurality of concept vectors. 11. A method, comprising: a processing device deriving an inner product matrix based on a distance matrix, with the distance matrix including values representing dissimilarities among a plurality of concepts stored in a knowledgebase; the processing device performing a spectral decomposition of the inner product matrix; the processing device generating a plurality of concept vectors based on the spectral decomposition of the inner product matrix; and the processing device outputting information associated with the plurality of concept vectors for spatial processing. 12. The method of claim 13, further comprising the processing device receiving user input including a dimension, wherein the plurality of concept vectors are generated with the dimension based on the spectral decomposition of the inner product matrix. 13. The method of claim 13, wherein the spectral decomposition of the inner product matrix is configured such that the plurality of concept vectors are generated with a dimension that is equal to a rank of the inner product matrix. 14. The method of claim 13, wherein the spectral decomposition of the inner product matrix is configured such that the plurality of concept vectors are generated with a dimension that is less than a rank of the inner product matrix. 15. The method of claim 13, wherein the spatial processing includes displaying the information associated with the plurality of concept vectors. 16. The method of claim 13, wherein the spatial processing includes displaying the information associated with the plurality of concept vectors in Euclidean space. 17. The method of claim 13, wherein a concept of the plurality of concepts includes at least one word, a phrase, or a plurality of words of a sentence. 18. The method of claim 17, further comprising assembling the plurality of concept vectors into a concept matrix representative of the sentence. 19. The method of claim 13, wherein the spatial processing includes at least one of deep learning, text analysis, or clustering. 20. The method of claim 13, wherein the information associated with the plurality of concept vectors includes one or both of the plurality of concept vectors or information derived from the plurality of concept vectors. 21. A non-transitory computer-readable media storing computer instructions, that when executed by one or more processors, cause the one or more processors to perform the steps of: deriving an inner product matrix based on a distance matrix, with the distance matrix including values representing dissimilarities among a plurality of concepts stored in a knowledgebase; performing a spectral decomposition of the inner product matrix; generating a plurality of concept vectors based on the spectral decomposition of the inner product matrix; and outputting information associated with the plurality of concept vectors for spatial processing.