Fusing Artificial Intelligence and Optimization with Trustworthy Optimization Proxies ResearchInsightsCommentarySIAM Newssiam.org FeedsComputational Science & Numerical AnalysisControl and Systems TheoryOptimization Optimization proxies have the potential to transform various applications through significant improvements in efficiency.
The Turbulent Tale of Icy Clouds ResearchInsightsCommentarySIAM NewsATF Featuredsiam.org FeedsGeosciences and Math of Planet Earth New theoretical and experimental approaches help explain the self-organization of ice under turbulence.
Five Key Concepts That Shaped Iterative Solution Methods for Linear Systems ResearchInsightsCommentarySIAM NewsATF Featuredsiam.org FeedsLinear AlgebraClassical Applied Mathematics We can trace the evolution of iterative methods up to the present day by examining several pivotal big ideas.
The Operator is the Model ResearchInsightsCommentarySIAM NewsBTF Featuredsiam.org FeedsApplied GeometryComputational Science & Numerical AnalysisControl and Systems TheoryData ScienceDynamical Systems, Nonlinear Waves Koopman operator theory has recently emerged as the primary candidate for extracting human-interpretable models from data.
The Role of Artificial Intelligence (En)during the COVID-19 Pandemic ResearchInsightsCommentarysiam.org FeedsComputational Science & Numerical AnalysisData ScienceLife Sciences Some interesting results have recently emerged in the overlap between artificial intelligence and epidemiology.
Smartwatches Should Facilitate the Aggregation of Mental Health Data ResearchInsightsCommentarysiam.org FeedsComputational Science & Numerical AnalysisData ScienceLife Sciences Mobile technologies such as smartwatches can help monitor the real-time health signals of individuals with depression.
Dynamical Systems Applications for Missions to Detect Life in Ocean Worlds ResearchInsightsCommentarysiam.org FeedsControl and Systems TheoryDynamical Systems, Nonlinear Waves Dynamical systems theory helps design spacecraft trajectories that optimize fuel consumption and minimize travel time.
The Impact of Mosquito Insecticide Resistance on Malaria Control ResearchInsightsCommentaryBlogsiam.org FeedsControl and Systems TheoryGeosciences and Math of Planet EarthLife Sciences A deterministic mathematical model incorporates both the population genetics of malaria mosquitoes and malaria epidemiology.
Reflecting on the Science, Technology, and Artistry of Origami Engineering ResearchInsightsCommentaryBlogsiam.org FeedsApplied GeometryMathematical Aspects of Materials ScienceClassical Applied Mathematics Origami engineering has inspired a wide range of applications, from fashion statements to large-scale industrial structures.
Designing the Smart Grid of the Future ResearchInsightsCommentarySIAM Newssiam.org FeedsComputational Science & Numerical AnalysisControl and Systems TheoryGeosciences and Math of Planet EarthOptimization Ongoing shifts will make the supply of electricity less centralized, less predictable, and more difficult to control.
Off-diagonal Ramsey Numbers From Pseudorandom Graphs ResearchInsightsCommentarySIAM Newssiam.org FeedsApplied GeometryComputational Science & Numerical AnalysisClassical Applied Mathematics A recent breakthrough on a decades-old Ramsey theory problem from Paul Erdős blends a broad variety of mathematical techniques.
Collective Organization in Cyanobacteria: How Earth’s Oldest Organisms Form “Active Spaghetti” ResearchInsightsCommentarySIAM Newssiam.org FeedsGeosciences and Math of Planet EarthLife Sciences Self-organization in cyanobacteria (also known as blue-green algae) can provide clues about the history of evolution as a whole.
What is Entropy? ResearchInsightsCommentarySIAM Newssiam.org FeedsDynamical Systems, Nonlinear WavesClassical Applied Mathematics Mark Levi illustrates the entropy of gas on a simple parody of ideal gas: a single particle that bounces between two stationary walls.
Political Centrism and Extremism: A Mathematical Analysis ResearchInsightsCommentarysiam.org FeedsDynamical Systems, Nonlinear Waves A simple math model explores the political process of candidates positioning themselves relative to their opponents.
Macroscopic Interpretations of Microscopic Traffic Waves with Sparse Control ResearchInsightsCommentaryBlogsiam.org FeedsControl and Systems TheoryDynamical Systems, Nonlinear Waves Sampling and kernel density estimations connect microscopic and macroscopic scales in traffic flow models.