Attachment_X_Proposal_Overview_and_Proposed_Metrics.pptx

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Mathematics of Boosting Agentic Communication (MATHBAC)
Solicitation number
DARPA-PA-26-05
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This is a proposal guidance document and template for the DARPA Mathematics of Boosting Agentic Communication (MATHBAC) program, solicitation DARPA-PA-26-05. The document provides instructions and rubrics for proposers submitting to two primary technical areas (TA1 and TA2), with explicit requirements for formatting, content, and evaluation metrics.

Technical Area 1 (TA1) focuses on the mathematics of agentic communication protocols, requiring proposers to identify and advance mathematical, systems theory, and information theory methods to understand and improve agent communication. Proposers must address five specific methodological components: evaluating and scheduling interactions between heterogeneous agents; understanding efficient agent interactions with and without access to transformer latent spaces; characterizing communication dynamics progress; and optimizing communication protocols. Proposals must include current results with Month 4 targets for success rate, speedup, and generalizability; describe the specific "small science models" and agent types being used; document the domains and tasks covered; and identify the scientific subdomains where the approach will be applied. Technical Area 2 (TA2) addresses the geometry and evolution of shared knowledge, requiring proposers to leverage mathematics, information theory, and data science methods to discover generalizable principles from multiple data streams. This area requires methods for combining cross-modal data, identifying common and unique features, extracting generalizable principles with specified cost functions, enabling interpretability, and generating minimum curricula for task mastery. Proposers must clearly document training corpora and safeguards ensuring targeted principles are not explicitly contained in source data. Both technical areas require proposers to submit proposed metrics on dedicated slides, including metric description, calculation methodology, alignment with program goals, and literature provenance. The document emphasizes clarity and brevity, specifying minimum 11-point Tahoma font and minimal use of text, with images and references highly encouraged.

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DARPA-PA-26-05 MATHBAC

Guidance – Delete after reading Instructions are provided on the slides in yellow with red text. Please delete them before submitting Proposers only need to fill out the information for their proposed Technical Area References and images are highly encouraged Do not try to pack the slides with too much information. Less is better.

Do not go below 11pt Tahoma (excluding references)

TA1: The Mathematics of Agentic Communication Protocols

DARPA-PA-26-05 MATHBAC

Instructions (delete before submitting) Include image of current agentic platform

TA1 RubricCurrent resultsMonth 4 Target
% success rate
speedup
generalizability

How did you set your targets?

Why are they challenging?

Which “small science models” do/will you use?

# of agents:

types of agents:

model(s) used:

# of tasks / domains you work in:

# of months it took to build (current) agentic platform:

TA1 GoalMethod(s)References
(a)
(b)
(b1)
(b2)
(b3)
(c)
(d)

Instructions (delete before submitting) See MATHBAC ES “Technical Area 1” for additional context Proposers are expected to identify the mathematics, systems theory, and information theory methods that will be leveraged and advanced to understand/design and improve the communication protocols of interacting agents. These may include input-output attempts to create for each agent approximate “internal models” of the agents with which it interacts (a sort of “theory of mind” of agents). Proposers must state:

(i) the methods that will be used to

(a) evaluate and schedule interactions between heterogeneous agents

(b) understand and enable more efficient (e.g., lower communication prompt length/faster completion) agent interactions (b1) without access to any latent spaces (b2) with access to transformer latent spaces (b3) with mixed access agents (with/without accessible latent spaces)

(c) characterize and quantify the progress of communication dynamics throughout the campaign

(d) optimize communication protocols.

TA1Details
Selected Science Subdomain(s)
1st family of scientific tasks
2nd family of scientific tasks
Identify and provide rationale about other scientific domain(s) / subdomain(s) current approach can generalize to

Agentic Platform Proposed Mathematics/Systems/Information/Data Science Methods Domain and Tasks Metrics

TA2: Geometry and Evolution of Shared Knowledge – Generalizable Principles from Data

DARPA-PA-26-05 MATHBAC

TA2 GoalMethod(s)References
(a)
(b)
(c)
(d)
(e)
TA1 RubricCurrent resultsMonth 4 Target
# of data streams
amount of data
time to disentangle
interpretability

How did you set your targets?

Why are they challenging?

TA1Details
Selected Science Subdomain

& Corpora

1st family of scientific tasks
2nd family of scientist tasks
Identify and provide rationale about other scientific domain(s) / subdomain(s) current approach can generalize to
Selected principles, laws, or correlations to be rediscovered

Instructions (delete before submitting) See MATHBAC ES “Technical Area 2” for additional context Proposers are expected to identify the mathematics, information theory, and data science methods that they intend to leverage and advance towards discovering new generalizable principles by monitoring and analyzing multiple data streams. Proposals must describe:

Methods the proposer will use to

(a) enable combination/comparisons of data streams across modalities and time scales.

(b) identify common and uncommon/particular features of the data streams, e.g., experimental data streams or streams arising from agentic interactions.

(c) extract generalizable principles, laws, or correlations; explicitly describe cost function/rewards used to drive principle/law/correlation extraction.

(d) enable interpretability of the extracted principles, laws, or correlations.

(e) generate and validate a minimum curriculum (content) for succeeding in a given task/science domain, if possible.

What is your training corpora?

How are you ensuring these corpora do not explicitly contain nor purposefully seed your targeted principle(s), law(s), or correlation(s)?

Data Sources/Streams Used Proposed Mathematics Domain, Tasks, and proposed principles, laws, or correlations Metrics

DARPA-PA-26-05 MATHBAC

Proposed Metric # 1 Technical Area:

Description:

Method for calculation:

How does the metric measure progress against the program goals:

How does the metric supplement current program metrics:

Why should this metric be adopted? (e.g. what insights will it provide)

Literature sources providing metric provenance and application (if available) Each proposed metric is limited to one slide; duplicate the slide for each additional metric [These are instructions, delete after reading] image1.png image2.png

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