System and process for sampling diamonds to develop a multi-dimensional space structure

Abstract

The application describes generation of a data structure that enables comparison of any diamond to any other diamond. The data structure is generated via a sampling process and a computer system for acquisition of diamonds of a valid statistical sample having a predefined sample size. The process comprises tabulating the frequencies that diamonds of various grade combinations are available in an overall population of diamonds, then using a bidding process described herein to acquire a valid statistical sample of diamonds. The data for the sample of diamonds are then inputted into a Linear Programming and Mixed-Integer optimizer configured to sort all diamonds of the sample into sets with a median that is a minimal distance from the median on a scarcity basis, subject to various constraints, such as the number of diamonds in each set and a minimum total carat weight.

1 . A sampling method for generation of a physical diamond package via a multi-dimensional graph data structure of diamonds, comprising:
 receiving a set of data describing a plurality of diamonds each having a distinctive set of properties and a corresponding grade, the set of data including a history of price data corresponding to a first subset of the plurality of diamonds, the first subset prioritizes inclusion of diamonds that have varied combinations of properties;   ingesting, by the multi-dimensional graph data structure, the history of price data via a chi-squared fit based on properties of diamonds represented in the multi-dimensional graph data structure as compared to properties of diamonds having accepted bids;   in response to said ingesting, weighting diamonds of the first subset within the multi-dimensional graph data structure;   deriving values corresponding to the plurality of diamonds that are outside of the first subset based on said weighting; and   determining a plurality of subsets of diamonds from the plurality of diamonds that as a set collectively have a same combined value.   
     
     
         2 . The sampling method of  claim 1 , further comprising:
 sealing the plurality of subsets of diamonds into tamper proof containers; and   recording each tamper proof container to a blockchain data structure.   
     
     
         3 . The sampling method of  claim 1 , further comprising:
 submitting a plurality of bids associated with the first subset of the plurality of diamonds; and   in response to a set of accepted bids, withdrawing a second subset of bids from the plurality of bids wherein the second subset of bids includes diamonds that have a threshold similarity of properties to those diamonds having accepted bids.   
     
     
         4 . The sampling method of  claim 3 , further comprising:
 in response to the set of accepted bids, increasing a bid amount on each of a third subset of bids from the plurality of bids wherein the third subset of bids includes diamonds that have a threshold dissimilarity of properties to those diamonds having accepted bids.   
     
     
         5 . The sampling method of  claim 1 , wherein said weighting adjusts an exclusion range to establish a revised exclusion range. 
     
     
         6 . The sampling method of  claim 1 , wherein a frequency for each corresponding grade of diamond within the first subset influences said weighting that diamonds of a given corresponding grade receive. 
     
     
         7 . The sampling method of  claim 3 , further comprising:
 logging the accepted bids in a blockchain data structure, wherein said fitting is performed by retrieving accepted bid data from the blockchain data structure.   
     
     
         8 . The sampling method of  claim 1 , wherein the distinctive set of properties include any of:
 carat weight;   color;   clarity;   fluorescence;   cut;   symmetry; or   polish.   
     
     
         9 . The sampling method of  claim 1 , wherein data in the multi-dimensional graph data structure decays weight of diamonds over time. 
     
     
         10 . A system for generation and verification of a physical diamond package via a multi-dimensional graph data structure of diamonds comprising:
 a network interface configured to correspond with a diamond market and receive a set of data describing a plurality of diamonds each having a distinctive set of properties and a corresponding grade, the set of data including a history of price data corresponding to a first subset of the plurality of diamonds, the first subset prioritizes inclusion of diamonds that have varied combinations of properties;   a processor; and   a memory including instructions that when executed cause the processor to:
 ingest, by the multi-dimensional graph data structure, the history of price data via a chi-squared fit based on properties of diamonds represented in the multi-dimensional graph data structure as compared to properties of diamonds having accepted bids; 
 in response to said ingesting, weight diamonds of the first subset within the multi-dimensional graph data structure; 
 derive values corresponding to the plurality of diamonds that are outside of the first subset based on said weighting; and 
 determine a plurality of subsets of diamonds from the plurality of diamonds that as a set collectively have a same combined value. 
   
     
     
         11 . The system of  claim 10 , further comprising:
 a tamper proof container in which a given subset of the plurality of subsets is sealed therein; and   the instructions further comprising recording each tamper proof container to a blockchain data structure.   
     
     
         12 . The system of  claim 10 , wherein the memory further includes instructions to cause the processor to:
 in response to a set of accepted bids, withdrawing a second subset of bids from the plurality of bids wherein the second subset of bids includes diamonds that have a threshold similarity of properties to those diamonds having accepted bids.   
     
     
         13 . The system of  claim 12 , wherein the memory further includes instructions to cause the processor to:
 in response to the set of accepted bids, increasing a bid amount on each of a third subset of bids from the plurality of bids wherein the third subset of bids includes diamonds that have a threshold dissimilarity of properties to those diamonds having accepted bids.   
     
     
         14 . The system of  claim 10 , wherein said weighting adjusts an exclusion range to establish a revised exclusion range. 
     
     
         15 . The system of  claim 10 , wherein a frequency for each corresponding grade of diamond within the first subset influences said weighting that diamonds of a given corresponding grade receive. 
     
     
         16 . The system of  claim 10 , wherein data in the multi-dimensional graph data structure decays weight of diamonds over time. 
     
     
         17 . A sampling method for generation of a physical diamond package via a multi-dimensional graph data structure of diamonds, comprising:
 submitting a plurality of bids associated with a first subset of diamonds of a plurality of diamonds;   in response to a set of accepted bids, withdrawing a second subset of bids from the plurality of bids wherein the second subset of bids includes diamonds that have a threshold similarity of properties to those diamonds having accepted bids, thereby generating a history of price data corresponding to the first subset of the plurality of diamonds;   receiving a set of data describing a plurality of diamonds each having a distinctive set of properties and a corresponding grade, the set of data including the history of price data corresponding to the first subset of the plurality of diamonds, the first subset prioritizes inclusion of diamonds that have varied combinations of properties;   ingesting, by the multi-dimensional graph data structure, the history of price data via a chi-squared fit based on properties of diamonds represented in the multi-dimensional graph data structure as compared to properties of diamonds having accepted bids;   in response to said ingesting, weighting diamonds of the first subset within the multi-dimensional graph data structure;   deriving values corresponding to the plurality of diamonds that are outside of the first subset based on said weighting;   determining a plurality of subsets of diamonds from the plurality of diamonds that as a set collectively have a same combined value;   sealing the plurality of subsets of diamonds into tamper proof containers; and   recording each tamper proof container to a blockchain data structure.   
     
     
         18 . The sampling method of  claim 17 , wherein said weighting adjusts an exclusion range to establish a revised exclusion range. 
     
     
         19 . The sampling method of  claim 17 , wherein a frequency for each corresponding grade of diamond within the first subset influences said weighting that diamonds of a given corresponding grade receive. 
     
     
         20 . The sampling method of  claim 17 , further comprising:
 in response to the set of accepted bids, increasing a bid amount on each of a third subset of bids from the plurality of bids wherein the third subset of bids includes diamonds that have a threshold dissimilarity of properties to those diamonds having accepted bids.