@dhh and all those billions of euros weren't spent solely by big software companies, but from SME companies that tried simply to comply with the regulations. I have even heard stories of one-person lawyers or doctors trying to deal with GDPR complexity. GDPR increased cost of services
Sparse Jacobians can reduce model evaluations. GAEA groups compatible columns so several derivatives can be recovered together. https://t.co/2klQjQfICr #Numerics
Fixed thresholds can miss interactions among quality measurements. An SVM instead learns a decision boundary across multiple features. https://t.co/BV0ca2e6CF #MachineLearning
We’re sharing a solution to the Navier-Stokes Millennium Prize Problem, one of the deepest problems at the frontier of mathematics.
The proof was produced by a group of agents, using an OpenAI next-generation model significantly more capable than GPT-6 Astra.
The problem concerns whether the description of smooth three-dimensional fluid motion modeled by the Navier-Stokes equations can break down. It has remained unresolved for roughly 90 years.
PDE-constrained optimization couples a physical model with an objective: for example, boundary conditions can be adjusted to stabilize furnace temperature. https://t.co/pt4dhU7X6m #ProcessControl
Virtual commissioning tests PLC logic against simulated plant behavior before production begins. Faults, interlocks and restart sequences can be exercised repeatedly without risking equipment or material. https://t.co/gZTzbkBJQf #PLC
Rates describe what is happening now; integrals describe what accumulated over time. GAEA applies this directly to sampled engineering data. https://t.co/yvV1Jm0Fyt #NumericalMethods
A digital twin can expose model confidence and operating limits, not just predictions. That distinction matters when engineers must decide whether a model is trustworthy at the plant’s current operating point. https://t.co/vCHOdXwaFr #DigitalTwin
Safe startup is a sequence, not a single command. Delta Pi Systems’ plant control software uses interlocks and automated route startup/shutdown to coordinate equipment and operating conditions. https://t.co/IBTzo4q4LL #ProcessControl
MES connects ERP planning with real-time shop-floor operations, linking production data, workflows and plant equipment in one operational layer. https://t.co/UZDxOtcmuM #MES#IndustrialAutomation
A bilinear restoring force can model contact in machinery: as obstacle stiffness rises, the response becomes strongly nonlinear and can approach impact behavior. https://t.co/qGRd3iZglX #NonlinearDynamics#Simulation
A smooth interpolation is not always a physically sound one. For monotonic calibration data, PCHIP can preserve the measured trend without spline overshoot. https://t.co/AFa94WrZ3i #ProcessModeling
In symbolic computation, unknown can be the correct answer. GAEA’s Symbolic keeps assumptions explicit and declines transformations that cannot be justified. https://t.co/7zuIZRjalC #ScientificComputing
Erasing information has a thermodynamic cost. This link between computation and entropy places a physical limit on energy efficiency. https://t.co/om9mKLZLZl #ScientificComputing
For a scalar objective governed by a large model, the adjoint method can compute gradients with one adjoint solve, independent of the number of parameters. https://t.co/QsOtPB9aQx #Optimization#ScientificComputing
Optimal experimental design asks where to measure, not just how much to measure. Fisher information can guide experiments toward more informative parameter estimates. https://t.co/VCxpDxzxo1 #OptimalDesign#SystemIdentification
In state estimation, observability asks whether internal states can be reconstructed from available measurements. It is a key test before designing observers such as Kalman filters for process monitoring and control. #StateEstimation#ProcessControl
Finite-element structural dynamics produces systems of motion equations. The Newmark-β method integrates them in time to compute structural response to dynamic loads. https://t.co/OiyMT3Gskx #StructuralDynamics