The Cost of Perfect Compression
![The numerical analysis reveals a maximum rate gap consistently occurring at each [latex]R = \mathbf{R}_{\mathrm{rc}}(\lambda, D^{\star})[/latex] within the constraints of Claim D.4, pinpointing a critical operational threshold.](https://arxiv.org/html/2602.05790v1/worst_case_gap_plot2.png)
New research quantifies the minimal performance trade-off inherent in universal vector quantization techniques.
Science
Heavy Quarkonia Get a Relativistic Upgrade
![Charm-quark fragmentation functions into charmonium states-specifically [latex]D(c \to h_c)[/latex], [latex]D(c \to \chi_{c0})[/latex], [latex]D(c \to \chi_{c1})[/latex], and [latex]D(c \to \chi_{c2})[/latex]-are shown to be significantly influenced by relativistic corrections of order [latex]\mathcal{O}(v^2)[/latex], with variations tied to an average value of [latex]\langle v^2 \rangle_{c\bar{c}} = 0.23 \pm 0.05[/latex] within the charmonium system, calculated assuming a charm-quark mass of 1.5 GeV and a normalization factor of [latex]C = 10^{-2}\alpha_s^2 \langle \mathcal{O} \rangle[/latex].](https://arxiv.org/html/2602.05615v1/x5.png)
New calculations refine our understanding of how heavy quarks fragment into excited quarkonium states, improving predictions for high-energy particle collisions.
Safeguarding Control: A New Approach to Constrained Optimization
![The study demonstrates that imposing constraints on the cart-pole swing-up control input [latex] u(t) [/latex] - either directly on the control itself, on the system’s state, or a combination of both - predictably alters the achievable trajectory, with boundaries of [latex] -2 \leq u \leq 2 [/latex] defining the limits of controllable force application.](https://arxiv.org/html/2602.05046v1/x7.png)
Researchers have developed an algorithm that enhances the safety and reliability of optimal control systems by effectively managing constraints during trajectory planning.
Ghostly Failures: Why Lee’s Model Can’t Bind
New research confirms that ghost fields within the Lee model are unable to form stable bound states, deepening the challenges for higher-derivative quantum field theories.
Beyond L2: Scaling Transformer Attention with Lp Norms
A new approach to normalizing attention mechanisms in Transformer models uses Lp norms to improve training stability and accelerate convergence.
Taming Bandit Problems in Dynamic Environments
New research offers a streamlined approach to constrained contextual bandits, improving performance in challenging, unpredictable scenarios.
Beyond the Ideal: Modeling Dense Quark Matter and its Deviations from Conformal Symmetry
![The speed of sound squared, [latex]c_{s}^{2}[/latex], is shown to vary with quark chemical potential μ, exhibiting a relationship constrained by a conformal bound of [latex]c_{s}^{2} = 1/3[/latex], as indicated by the solid light-blue line and consistent with observations detailed in Figure 1.](https://arxiv.org/html/2602.05796v1/x8.png)
New research reveals how accurately modeling the behavior of extremely dense quark matter requires careful consideration of medium effects and a consistent regularization scheme.
Beyond the Hype: Blockchain’s Real Potential for Public Services
A new review reveals that successful blockchain implementation in government requires a nuanced governance model that balances decentralization with necessary oversight.
Precision Calculations for Heavy Elements: New Basis Sets Push the Boundaries
Researchers have developed a new family of relativistic basis sets for p-block elements, promising enhanced accuracy in electronic structure calculations.
Speeding Up Quantum Simulations with Efficient Linear Algebra
A new JAX library, lrux, dramatically accelerates quantum Monte Carlo calculations by optimizing the computation of key determinants and Pfaffians.