optimization

FERC approved Southwest Power Pool tariff revisions on 19 August 2026 allowing software-driven grid reconfiguration, with savings estimated at $18m to $44m. <p>The post FERC approves SPP plan to use topology optimization software against grid congestion first appeared on Winssolutions .</p>

Scientific Reports, Published online: 22 August 2026; doi:10.1038/s41598-026-67230-5 Experimental and machine learning-guided optimization of tensile strength of concrete incorporating silica fume, waste foundry sand, and polypropylene fibers

For the first time in 30 years, computer scientists have found a better way to allocate objects evenly between two groups. The post ‘Huge Breakthrough’ in the Math of Imbalance first appeared on Quanta Magazine

Learning about Farkas' lemma and how it can inform Benders decomposition to learn from infeasibility, applied to the capacitated facility location problem. The post How Benders Decomposition Works, Part II: Feasibility Cuts appeared first on Towards Data Science .

Some time ago, much effort was expended to convince people to replace approximations of “pi” (3.14159…) with approximations of “tau” (6. 28318…). The idea, according to numerous blog posts and YouTube videos, was that common formulas become simpler, and it’s easier to work with a constant describing an entire circle instead of half a circle. Generally, I agree. While it’s a minor point, it’s wort…

Hungarian mathematician Paul Erdős’ ‘planar unit distance conjecture’ has stood since 1946 – but an AI disproof has made mathematicians pay attention.

What do iPhones, Twitter, Netflix, cleaner cities, safer cars, state-of-the-art environmental management and modern medical diagnostics have in common? They are all made possible by Moore’s Law. Moore’s…

AI agents devised a way to reduce friction of an airplane wing model even without access to a costly computer simulation

A new paper just came out, The Maximum-Area Small Polygon Problem. The paper solves the problem of finding, for each n, the n-gon with diameter 1 and maximum area. For odd n, the solution is what you might expect: a regular n-gon. I would expect this to be the solution for even n as well, […] The post Big little hexagon first appeared on John D. Cook .

I am trying to find a specific 121-bit binary string that solves a particular black boxed circuit. Input to the circuit : A 121 bit binary string (like $\underset{\overbrace{121\ \text{digits}}}{...

Kernel-based optimal transport (OT) estimators offer an alternative, functional estimation procedure to address OT problems from samples. Recent works suggest that these estimators are more statistically efficient than plug-in (linear programming-based) OT estimators when comparing probability measures in high-dimensions [Vacher et al., 2021]. Unfortunately, that statistical benefit comes at a ve…

Humanities and Social Sciences Communications, Published online: 15 August 2026; doi:10.1057/s41599-026-08699-3 Equitable revenue allocation in DEA under a common set of weights: a unified optimization approach

Computer Science > Computational Complexity Title:New Lower and Upper Bounds for the Grothendieck Constant View PDF HTML (experimental) Abstract:We establish new bounds on the Grothendieck constant $K_G$: \[ \frac{6\pi}{11} \le K_G \le \frac{\pi}{2\log(1+\sqrt2)} - 10^{-4}. \] Methodologically, our lower bound approach differs from previous works by establishing limitations on the asy…

Scientific Reports, Published online: 13 August 2026; doi:10.1038/s41598-026-66634-7 Multi-objective airflow distribution optimization for mine ventilation networks using a hybrid intelligent optimization algorithm

Contents The problem The first attempt wasn't enough What closed the gap Where the value was Try it Closing thought The problem I'd just spent a few sessions in fast.ai's 04_mnist_basics.ipynb finally pinning down what a gradient actually means: not "3's gradient," but the slope of the loss curve at the exact point where the weight currently sits. Small distinction, but it's the one that had stay…

For more than 150 years, the Riemann hypothesis has stood as one of the major unsolved problems in mathematics. Anthropic hasn't solved it — but the company's models made more progress than you might expect.

dc.title: Dynamic whole-body planning for humanoids in confined spaces : a morphology-aware synthesis approach dc.description.abstract: While bipedal locomotion on flat and structured terrains has seen significant progress through methods ranging from reduced-order models to learning-based methods, navigating confined and unstructured environments remains a critical challenge for humanoid robots.…

A little-known branch of engineering mathematics is moving beyond theory and finding potential uses in everything from robots and aircraft to extremely small nanotechnology devices. Known as negative imaginary, or NI, systems theory, the approach helps engineers control machines and structures that naturally vibrate, bend or wobble. A new study examining two decades of research […] The post Once-…

Problem You are given an integer array arr. We split arr into some number of chunks (i.e., partitions), and individually sort each chunk. After concatenating them, the result should equal the sorted array. Return the largest number of chunks we can make to sort the array. Example 1: Input: arr = [5,4,3,2,1] Output: 1 Explanation: Splitting into two or more chunks will not return the required resu…