Designing Experiments: Why Some Methods Fall Flat
![The study demonstrates a shift in optimization strategy for inverse problems, moving from minimization of displacement discrepancy-quantified by [latex]\sum\_{i}\Delta u\_{i}^{2}(\boldsymbol{\epsilon})[/latex]-to minimization of constraint force magnitude, expressed as [latex]\sum\_{i}\lambda\_{i}^{2}(\boldsymbol{\epsilon})[/latex], thereby altering the fundamental objective function governing model parameter estimation.](https://arxiv.org/html/2601.04557v1/stacking.png)
A new analysis reveals the limitations of the Constraint Force Method for optimal experimental design, demonstrating its inherent bias towards measurements in stiff regions.
![The study demonstrates a shift in optimization strategy for inverse problems, moving from minimization of displacement discrepancy-quantified by [latex]\sum\_{i}\Delta u\_{i}^{2}(\boldsymbol{\epsilon})[/latex]-to minimization of constraint force magnitude, expressed as [latex]\sum\_{i}\lambda\_{i}^{2}(\boldsymbol{\epsilon})[/latex], thereby altering the fundamental objective function governing model parameter estimation.](https://arxiv.org/html/2601.04557v1/stacking.png)
A new analysis reveals the limitations of the Constraint Force Method for optimal experimental design, demonstrating its inherent bias towards measurements in stiff regions.

Since the first movie came out in 2010, Flynn has become a popular character known for his witty remarks and unexpectedly touching moments. Because of this, fans have been eagerly anticipating who would take on the role. Now that Manheim has been cast, the conversation has changed – some people are thrilled, while others are worried about how he’ll portray the character.

Here are our top 10 original series on Disney+ so far. We didn’t include documentaries, so we’re sorry to fans of The Beatles: Get Back. That also means we left out unscripted series that feel like documentaries, such as The World According to Jeff Goldblum.
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The second season ended with a shocking twist: Yuta’s return to Japan and a meeting with the elders. Driven by seeing his friend, Toge Inumaki, injured during Sukuna’s attack, Yuta vowed to kill Yuji Itadori. The start of the third season revealed his plans, which surprised many viewers. Even a brief display of Yuta’s abilities was enough to terrify everyone.

2025 was a fantastic year for Stephen King fans, with a surge of new movies and TV shows based on his work. While adaptations of his books appear regularly, not every one is a hit with audiences and reviewers.

Many popular crime shows run for several seasons, featuring everything from classic police investigations to stories based on famous books and characters. These long-running series let you really connect with the detectives and see how they grow, both personally and professionally, as they tackle tough criminals and complex mysteries.
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