New analysis maps how split constraints change in optimization
A theorem-driven analysis develops ways to track first-order changes in solution sets for split-feasibility problems and use them in optimization.
Scientific publication6 min read
Specialty
Optimization
27 published articlesPart of Data Science & Modeling
Latest in Optimization
Study models how cities could split AEDs between sites and cars
A modeling study asks whether a fixed AED supply is better used in stationary sites, mobile vehicles or a hybrid mix, with an analytical benchmark showing the second scenario’s response-distance measure is no greater than the first.
Scientific publication4 min read
Optimization preprint reports fast convergence, but tests remain limited
A mathematical methods paper reports conditional fast-convergence guarantees for an inertial primal-dual system and its discrete algorithm, while experiments on logistic regression and least squares favor the proposed method in the tested setups.
Scientific publication4 min read
Adaptive solver leads reported tests of hard optimization problems
A new adaptive method for nonconvex constrained optimization adjusts its penalty and stochastic inner solves, with theory and tests pointing to gains that remain conditional on the study's assumptions and setup.
Scientific publication4 min read
Adaptive AI Teams Find a Middle Ground on Speed and Token Cost
A preprint examines whether AI agents can reach practical agreement before exhausting their computational budget. An illustrative five-agent simulation and live deployments using three named models put adaptive communication between ring-only and complete-only strategies, while a tight-budget run failed and one live run showed disagreement rising.
Scientific publication4 min read
Model estimates USD 47 million in savings for pumped-storage project
A computational preprint reports a modeled capital cost of USD 727 million for an optimized 1,000 MW, 12-hour pumped-storage layout, compared with USD 774 million for an initial heuristic design; the evidence is limited to a Rio de Janeiro pre-feasibility case.
Scientific publication4 min read
EV virtual power plant model shows lower error in coupled tests
In a simulation of a 4,000-vehicle virtual power plant, the proposed I=2 model's normalized error was 7.5% in the coupled test, versus 13.6% for outer approximation.
Scientific publication3 min read
New framework maps which Maxwell modes actuators can reach
A topology-aware control framework treats global circulation and magnetic flux as explicit states, showing that actuator rank can leave some topological modes unreachable.
Scientific publication5 min read
Swarm-control model reports lower steering costs in simulations
A preprint reports a full endpoint match and lower accumulated costs for an interaction-aware controller in Cucker-Smale simulations, while a Morse example produced a mixed cost ranking.
Scientific publication5 min read
A New Optimization Model Picks Which Solution to Approach
A mathematical preprint proposes an accelerated gradient-flow system that uses gradient history and coordinatewise feedback to control convergence and select among multiple minimizers.
Scientific publication4 min read
Preprint model tops traffic forecasts even with 80% data missing
A new traffic-forecasting model reported the lowest errors in tests with complete data and remained first when 80% of entries were randomly masked. It also ran faster than the compared methods, though the evidence comes from two datasets and incomplete-input comparisons covered only methods that could process missing data.
Scientific publication4 min read
New optimization method reaches tight targets in fewer steps
A numerical study reports that a factorized optimization method reached demanding SLOPE and group-lasso targets in fewer iterations than tested baselines, while the evidence remains limited to small computational benchmarks.
Scientific publication4 min read
Study maps when optimization solutions remain stable as data change
A theoretical preprint sets out conditions under which optimization values and solution sets stay stable as objectives and feasible choices are sequentially perturbed. It also applies the framework to generalized Nash equilibria and finite-horizon dynamic programming.
Scientific publication4 min read
New acceleration framework aims to bridge two optimization regimes
A mathematical preprint proposes transition rules that move between two established acceleration regimes. Its proofs give conditional convergence bounds, while three numerical case studies report lower residuals for several transition choices. The results are limited to selected problems, parameters and finite simulations.
Scientific publication4 min read
A Mathematical Model Puts a Value on Human Expertise
A mathematical study gives human expertise a formal value in a robust-optimization model, while its examples show that any gain depends on the assumed belief and uncertainty set.
Scientific publication4 min read
Coordinate solver leads tests of larger absolute-value systems
The method has formal convergence guarantees under stated conditions, but its runtime advantage appeared only on selected constructed tests.
Scientific publication5 min read
PBMC tests report higher ARI and NMI in weak-transport runs
Across five frozen splits, wIGW recorded higher ARI and NMI than a scaled-identity IGW comparison in cell-to-cell and prototype-to-cell transfer, while macro-F1 varied.
Scientific publication5 min read
Preprint reports faster benchmark runs for fixed-penalty optimizer
A preprint introduces NR-LALM and an optional second-order-correction variant that keep the penalty parameter fixed while retaining a classical nonlinear-residual multiplier update. The paper reports conditional complexity and convergence results, faster deterministic benchmark runs and lower stochastic residual surrogates than comparison methods.
Scientific publication3 min read
Planned repairs could lower costs in a modeled service queue
An arXiv preprint constructs repeatable service-control policies with lower modeled average costs than fixed service when repair is cheaper than a critical one-period saving, while simulations leave uncertainty about the size of the gain.
Scientific publication3 min read
New algorithm could speed trajectory planning for many trailers
A proposed algorithm uses formal power-series composition to avoid the expression growth reported in symbolic calculations, but the evidence is limited to a laptop benchmark and simulated trailer trajectories.
Scientific publication3 min read
Preprint finds an indirect method needs less data to certify stability
In a 5D switched-system benchmark, indirect certification crossed the stability threshold at around 800 samples, versus around 2,200 for direct certification, and kept its bound below 1 under Gaussian-mixture noise with outliers.
Scientific publication5 min read
Preprint: Controllers may need to trade short-term performance for learning
An arXiv review examines how linear systems can learn unknown parameters while operating, and why gathering information can carry a short-term performance cost.
Scientific publication3 min read
Preprint links linear control tests to nonlinear motion
The paper follows controllability from the Kalman-family rank condition to bracket generation on finite-dimensional Lie groups. Examples in SO(3), SO(4) and SO(7) illustrate how local directions propagate, while the paper marks infinite-dimensional vector-field algebras as the point where the analogy breaks down.
Scientific publication4 min read
Preprint puts a ceiling on worst-case safety risks in uncertain systems
The preprint turns a worst-case safety question into an optimization over possible starting distributions. Its examples show that the resulting upper bounds depend on relaxation level, unsafe-region choice and moment uncertainty, and may remain loose when the model is approximated.
Scientific publication3 min read
Preprint finds hard loss limits can reshape portfolio risk
A new arXiv preprint models how hard limits on terminal losses change portfolio exposure. Its simulations found selective reductions in risky positions, but the study does not test human investors or real markets.
Scientific publication3 min read
Preprint develops a framework for tracing sensitivity in infinite-dimensional optimization
A version 1 arXiv preprint develops a variational framework for studying how optimal values change as parameters move in a chosen direction. The results extend several tools for infinite-dimensional analysis but remain conditional on compactness, differentiability and regularity assumptions.
Scientific publication6 min read
Preprint reports faster flow-optimization method with nearly unchanged results
A new arXiv preprint reports that an adaptive time-window method produced closely matching optimization results while reducing reported runtime and storage in the tested computational flow cases. The study also recovered cylinder-like wake structures and reduced pressure-drop objectives in U-bend cases, but did not test physical prototypes or three-dimensional turbulent flows.
Scientific publication4 min read