2. The topic modeling system as recited in claim 1 , wherein the at least one calculating unit comprises multiple calculating units, and the acts further comprise: providing each calculating unit of a first plurality of calculating units with at least a respective vector of the term-document matrix D and at least a respective vector of the term-topic matrix U, most recently updated, the multiple calculating units including the first plurality of calculating units; and wherein the minimizing the first equation while holding the topic-document matrix V fixed includes: independently solving a respective vector of the term-topic matrix U at a respective calculating unit of the first plurality of calculating units based at least in part on the respective calculating unit minimizing a respective second equation that is a decomposition of the first equation.
2. The topic modeling system as recited in claim 1 , wherein the at least one calculating unit comprises multiple calculating units, and the acts further comprise: providing each calculating unit of a first plurality of calculating units with at least a respective vector of the term-document matrix D and at least a respective vector of the term-topic matrix U, most recently updated, the multiple calculating units including the first plurality of calculating units; and wherein the minimizing the first equation while holding the topic-document matrix V fixed includes: independently solving a respective vector of the term-topic matrix U at a respective calculating unit of the first plurality of calculating units based at least in part on the respective calculating unit minimizing a respective second equation that is a decomposition of the first equation. 3. The topic modeling system as recited in claim 2 , the acts further comprising: providing each calculating unit of a second plurality of calculating units with at least a respective vector of the term-document matrix D and at least a respective vector of the topic-document matrix V, most recently updated, the multiple calculating units including the second plurality of calculating units; and wherein the minimizing the first equation while holding term-topic matrix U fixed includes: independently solving a respective vector of the topic-document matrix V at a respective calculating unit of the second plurality of calculating units based at least in part on the respective calculating unit minimizing a respective third equation that is a decomposition of the first equation.