16. An apparatus, comprising: an interface system; and a control system capable of: receiving, via the interface system, audio data corresponding to a recording of a conference involving a plurality of conference participants, the audio data including at least one of: (a) audio data from multiple endpoints, the audio data for each of the multiple endpoints having been recorded separately or (b) audio data from a single endpoint corresponding to multiple conference participants and including spatial information for each conference participant of the multiple conference participants; analyzing the audio data to determine conversational dynamics data that includes at least one data type selected from a list of data types consisting of: data indicating the frequency and duration of conference participant speech; data indicating instances of conference participant doubletalk during which at least two conference participants are speaking simultaneously; and data indicating instances of conference participant conversations; applying the conversational dynamics data as one or more variables of a spatial optimization cost function of a vector describing a virtual conference participant position for each of the conference participants in a virtual acoustic space; applying an optimization technique to the spatial optimization cost function to determine a locally optimal solution; and assigning the virtual conference participant positions in the virtual acoustic space based, at least in part, on the locally optimal solution.
16. An apparatus, comprising: an interface system; and a control system capable of: receiving, via the interface system, audio data corresponding to a recording of a conference involving a plurality of conference participants, the audio data including at least one of: (a) audio data from multiple endpoints, the audio data for each of the multiple endpoints having been recorded separately or (b) audio data from a single endpoint corresponding to multiple conference participants and including spatial information for each conference participant of the multiple conference participants; analyzing the audio data to determine conversational dynamics data that includes at least one data type selected from a list of data types consisting of: data indicating the frequency and duration of conference participant speech; data indicating instances of conference participant doubletalk during which at least two conference participants are speaking simultaneously; and data indicating instances of conference participant conversations; applying the conversational dynamics data as one or more variables of a spatial optimization cost function of a vector describing a virtual conference participant position for each of the conference participants in a virtual acoustic space; applying an optimization technique to the spatial optimization cost function to determine a locally optimal solution; and assigning the virtual conference participant positions in the virtual acoustic space based, at least in part, on the locally optimal solution. 18. The apparatus of claim 16 , wherein the virtual acoustic space is determined relative to a position of a virtual listener's head in the virtual acoustic space and wherein the spatial optimization cost function applies a penalty for placing conference participants who are involved in a conference participant conversation with one another at virtual conference participant positions that are on, or within a predetermined angular distance from, a cone of confusion defined relative to the position of the virtual listener's head, circular conical slices through the cone of confusion having identical inter-aural time differences.