Taming the Bits: A New Approach to Efficient AI Inference
Researchers have developed a novel quantization framework that reshapes the underlying mathematical landscape of AI models to enable significantly more efficient low-bit inference.
Science
Taming Waves: How Nonlinearity Impacts Stability
A new study explores the delicate balance between wave behavior and stability in the face of strong nonlinear effects.
Unlocking Polynomial Positivity: A New Path to Sum-of-Squares Representation
![The study investigates two cubic models-a homogeneous form, [latex]g_{3}(s)+\sigma\|s\|^{4}[/latex], and a non-homogeneous counterpart, [latex]g^{T}s+g_{3}(s)+\sigma\|s\|^{4}[/latex]-both characterized by randomly generated coefficients within the range of [0, -100], demonstrating that even with zero gradient terms, cubic terms significantly influence the resulting function’s behavior.](https://arxiv.org/html/2601.20418v1/change_from_sos.png)
Researchers have discovered conditions under which nonnegative quartic polynomials can be reliably expressed as a Sum-of-Squares, opening doors to more efficient optimization and verification techniques.
Unlocking the Secrets of Exotic Tetraquarks
![The decay of a resonance, potentially [latex]Z_c(4430)[/latex], into both two-body states like [latex]D^{<i>+} \bar{D}_{2}^{</i>0}[/latex] and [latex]\psi(2S)\pi^{+}[/latex], and three-body combinations of [latex]D^{<i>+}D^{-}\pi^{+}[/latex], [latex]D^{</i>+}D^{<i>-}\pi^{+}[/latex], and [latex]D^{</i>+} \bar{D}^{<i>0}\pi^{0}[/latex], offers a comparative shape analysis-scaling the [latex]\psi(2S)\pi^{+}[/latex] distribution to match the peak height of the [latex]D^{</i>+} \bar{D}_{2}^{*0}[/latex] mode-to determine the coupling constant [latex]g_{\psi'}[/latex] and reveal underlying patterns in particle decay.](https://arxiv.org/html/2601.20740v1/x8.png)
New research delves into the composition and decay of the Zc(4430) and Zc(4200) states, shedding light on the fundamental forces binding these unusual particles.
Fractal Scrambling: A New Approach to Image Encryption
A novel framework leveraging fractal transforms and Fourier analysis dramatically improves the security and efficiency of image transmission.
Finding Common Ground: Private Set Union with Fuzzy Matching
New protocols enable secure computation of shared elements between private datasets, even when perfect matches aren’t required.
Universal Quantum Spin Liquids: A Common Thread Across Lattices
![The Shastry-Sutherland lattice-characterized by four orbitals within each unit cell and defined by sublattice degrees of freedom [latex] (m_x, m_y) = (A,A), (B,A), (B,B), (A,B) [/latex]-can be systematically transformed towards a square lattice through the introduction of diagonal Heisenberg couplings, offering a pathway to explore the interplay between magnetic frustration and dimensionality.](https://arxiv.org/html/2601.19980v1/x1.png)
New research reveals a shared underlying mechanism governing the exotic behavior of Dirac spin liquids on both square and Shastry-Sutherland lattices.
Decoding Data Center Performance with Stochastic Equations
A new mathematical approach offers a precise way to model and analyze job queuing in cloud computing environments.
Sensing Majorana States with Quantum Capacitance
Researchers demonstrate a novel method for characterizing topological qubits by leveraging the sensitivity of quantum capacitance to the underlying fermion parity in a quantum-dot-based Kitaev chain.
Taming the AI Imagination: Quantifying Uncertainty in Language Models
A new approach leverages the principles of quantum mechanics to better understand and mitigate the tendency of large language models to generate factually incorrect or nonsensical text.