Applied Math & Physics

The Applied Mathematics and Physics Division employs an interdisciplinary team to address challenging technology problems for military, civilian, and commercial clients. Our team fills a niche between academic research and industrial application, teaming with leading universities to advance the state of the art while also teaming with major system integrators to put cutting-edge solutions into real-world products and system. Our staff contains a mix of scientist and engineers, with 80% at the M.S. level and 60% at the Ph.D. level in academic and professional fields including physics, mathematics, aerospace engineering, systems engineering, computer science, and operations research.

Data Fusion

Our team works at the forefront of multi-sensor, MULTIINT, and multiple phenomenology data fusion. In a world where most sensor data that is collected “falls on the floor,” our algorithms and tools help connect the dots to create information out of data in an automated or semi-automated way. In addition to using tools from the traditional data fusion literature, we have experience developing techniques that apply concepts from machine learning, computer vision, and more “esoteric” fields such as differential geometry and topology to provide new capability to our customers and partners. We actively collaborate with leaders in these academic fields to feed our technology pipeline and have contractual relationships with system integrators to mature and transition technologies to real systems in the near-term.

Software PRoducts

  • Guide – Decision Making Under Uncertainty: Mature software for a wide range of probability-based calculations including Bayesian networks, interacting-multiple models, unscented Kalman filtering, and solution of stochastic partial differential equations
  • Adapt – Multi-sensor fusion framework: Software for modeling data fusion hierarchies for evaluating design of data fusion network and comparison testing specific algorithms
  • Discover – Object Classification: A tool for classifying objects into types applicable to a wide range of sensor data including radar, electro-optical / infrared (EOIR), and LIDAR

Large-Scale Auctions

Our team helps to develop the mathematical model and software tool by which the Federal Communications Commission analyzes incentive auctions for buying and selling bandwidth. Using techniques from operations research and working with world-class economists, the team helps the FCC design complex, combinatorial auctions that result in efficient use of the electromagnetic spectrum and benefits the U.S. taxpayer.

Papers Authored and Co-authored

Spectrum Analysis: Options for Broadcast Spectrum

Fleet Scheduling

Corporate fleets are constantly challenged to achieve targeted service levels at the lowest possible cost. DAC has developed large-scale optimization software for Fortune 500 companies in the United States. When implemented, DAC’s optimization software provides higher levels of customer service at reduced operation costs, allowing our customers to operate more efficiently in the face of rising fuel and labor costs.