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We develop a semi-inner product framework for $2\times 2$ block operator matrices acting on the direct sum $\mathcal{K}=\mathcal{H}\oplus \mathcal{H}$ of a complex Hilbert space $\mathcal{H}$, generated by the diagonal operator matrix $\mathbb{A}=\mathrm{diag}(\mathrm{A},\mathrm{B})$, where $\mathrm{A}$ and $\mathrm{B}$ are distinct positive operators ac...

Koopman model predictive control (MPC) iterates a lifted linear predictor over a horizon of tens of samples. Extended dynamic mode decomposition with control (EDMDc), however, fits that predictor by minimising only the one-step residual in the lifted...

The economic impact of artificial intelligence extends across all stages, including resources, manufacturing, and consumption and services. Against this background, how linkages among the upstream, midstream, and downstream stages of the industrial c...

High penetration levels of photovoltaic (PV) generation and electric vehicles (EVs) exacerbate the duck-curve effect in distribution systems. This paper proposes a probabilistic scheduling framework for battery energy storage systems (BESSs) to mitig...

For a $C^1$ family of smooth closed genus-zero surfaces, we study the quadratic normal jet of unforced surface Navier–Stokes flow near the zero equilibrium. Under an isolated rank-three Riesz slow block and a three-weight slow–fast gap, loca...

Quantile-oriented sensitivity analysis (QOSA) requires repeated evaluation of conditional quantiles over many conditioning states. A four-moment Hermite model yields closed-form quantiles, but its published two-branch form has a local admissibility g...

Where should multi-objective reasoning enter a swarm optimizer: before the search through scalarization, around the search through survival or archiving, or inside the search through Pareto-informed leader selection? We study this question on the Mou...

Visual perception for autonomous carrier landing requires high stability and environmental adaptability. Under complex maritime conditions, such as nighttime, sea fog, and low visibility, visible images are easily affected by illumination changes and...

Upper Northern Thailand is a critical region reflecting the severity of seasonal PM2.5 pollution and its transboundary spread, yet accurate spatial monitoring remains difficult due to complex mountainous terrain and a sparse network of physical monit...

Karhunen–Loève expansions play a key role in mathematical statistics. Two kernels associated with the well-known Anderson–Darling statistic admit such developments involving Legendre polynomials and their derivatives. We give an in...

In physically based volume rendering of volumetric medical imaging data, exposure levels are typically set empirically. However, differences in voxel values and opacity across transfer functions can make a fixed setting produce underexposed or overex...

A second-order domain perturbation analysis is developed for electro-osmotic transport through a long, rigid microtube containing a Newtonian electrolyte and a homogeneous porous matrix. The wall radius varies along the tube axis, forming axisymmetri...

This paper presents KM-SCR, a deductive-database system for automated geometry reasoning that aims to reduce redundant knowledge representation and inference overhead. First, a geometric-object merging mechanism consolidates collinear or coplanar obj...

The faculty of language can be modeled as an algebraic cycle between a lexicon—an Abelian Hilbert space 𝓗₂ spanned by the diagonal matrices of a discrete group we call the Chomsky-Pauli group (G_CP)—and a derivational workspace, re...

We compare three neural approaches to the Riemann problem of the isentropic Cargo–LeRoux model with an exact solver and with classical Godunov-type schemes. The model has a linearly degenerate contact field and a strictly convex closure that is...

Chaos and extreme events are characteristic manifestations of the complex and often unpredictable behavior of nonlinear dynamical systems. In this study, we introduce an oscillator capable of exhibiting both chaotic dynamics and extreme events. The p...

Class imbalance in aircraft predictive maintenance data causes classifiers to favor frequent actions and miss rare but operationally important outcomes. This study proposes a hybrid framework that combines a Class-Conditional Tabular Denoising Diffus...

Quantum Annealing (QA) presents a promising approach for large-scale combinatorial optimization, though its adoption in the shipping industry remains limited. This study considers a Traveling Salesperson Problem with Time Windows and Earliness Penalt...

We develop a spatiotemporal mathematical model describing viral infection dynamics under the combined effects of diffusion, convection, temperature-dependent immune response, and therapeutic intervention. The model is formulated as a system of singul...

Strategic financial markets can admit multiple approximate Nash equilibria with materially different liquidation and price-impact regimes. Returning one equilibrium cannot exclude a more stressed alternative, yet complete enclosure becomes expensive...

Meritocratic lotteries seek to implement prescribed selection probabilities reflecting merit or priority while meeting diversity quotas. We study this implementation problem on a hypergraph, with arbitrary target marginals and integer lower and upper...

The present paper is devoted to the study of oscillation phenomena in a class of second-order nonlinear neutral delay differential equations. We focus on the less studied noncanonical case. By applying a suitable transformation, the problem is transf...

In the home healthcare sector, patients often prefer familiar caregivers. Honoring these preferences can unbalance caregivers’ workloads, which can overload some caregivers and disrupt the day’s schedule. Patient cancellations, no-shows,...

Quantitative trajectory analysis commonly summarizes biological motion using global geometric or dynamical descriptors, but these do not directly quantify how movement statistics vary across space or time. Here, we present BioTraj, an open-source Pyt...

This study forecasts price volatility in the non-fungible token (NFT) digital asset market. We develop a hybrid forecasting framework that integrates long short-term memory (LSTM) networks with a set of generalized autoregressive conditional heterosk...

Unmanned ground vehicle control in unknown environments is hindered by terrain variation, obstacle complexity, and sensor noise. This study proposes a light-detection-and-ranging-based control system that integrates fuzzy terrain traversability asses...

This paper considers coupled linear subsystems $\dot{x}=-Ax-By$ and $\dot{y}=-Cx-Dy$, whose local blocks A and D may have different dimensions. For reciprocal single-channel coupling $B=\beta e_i{e}_j^T$ and $C=\gamma e_j{e}_i^T$, let ${\delta }_i($...

The JSSP is recognized as one of the most difficult combinatorial optimization problems and is classified as NP-hard. In this study, three metaheuristics are presented and evaluated. The first, EGD–ILS, is a new hybrid metaheuristic. Its first phase...

Joint elastic and piezoelectric tailoring can recruit non-torsional actuator resultants to assist twist, but this assistance restricts deformation purity. For symmetric positive-definite stiffness, the classical three-vector Gram inequality yields a...

Before a programming deadline, many students’ programs queue for a few grading servers. Ordering them by predicted running time cuts the mean wait, but known bounds with predictions hold on average or against an optimum, not per job. We prove a...

Wind turbine blade icing is one of the most significant operational problems for wind farms in cold-climate regions, leading to substantial losses in electricity generation, increased mechanical loads, and hazardous situations. Accurate icing predict...

Regressing the 3D orientation of a symmetric object with a signed rotation representation is ill posed: the rotations that render an indistinguishable image form an equivalence class, so physically identical poses receive inconsistent labels. This is...

The increased deployment of vehicles with advanced on-board units has facilitated intelligent transportation services using communication with roadside units. However, such communication is conducted over open channels; hence, transmitted messages ar...

Event factuality prediction, a task in natural language processing, estimates the commitment conveyed by a text toward an event. Nested negation and modality require inference sensitive to the linguistic scope, but endpoint labels can leave intermedi...

Wildlife strikes are a persistent aviation safety concern because bird strike risk is shaped by dynamic interactions among weather, bird movement, airport operations, seasonality, and time of day. Although traditional machine learning methods have be...

We consider an adaptive Adams-type multistep method for the numerical solution of ordinary differential equations based on algebraic, trigonometric, and exponential interpolation (the ATE method). For each interpolation class, the corresponding schem...

Noise is a major challenge for current quantum computers. It can be broadly categorized into bit-flip and phase-flip errors. These two types do not necessarily affect the executed algorithm, and thus the application, in the same way. We illustrate th...

The rapid development of artificial intelligence-generated content (AIGC) methods has posed severe threats to security and privacy, as photorealistic face forgeries (deepfakes) can be easily generated by modern generative models. Since existing CLIP-...

We develop a martingale-residual framework for continuous-time reinforcement learning in high-dimensional financial problems, linking policy evaluation (PE), policy gradient (PG), and entropy-regularized Actor–Critic (AC) learning. First, conti...

Water pollution remains a major environmental and public-health problem, especially in developing countries with limited treatment infrastructure. We formulate a four-compartment model of ordinary differential equations (ODEs) for the transmission of...

We propose Physics-Informed Patchwork (PIP), a domain-decomposition framework intended for a broad class of stationary boundary-value problems through the reuse of the same pretrained boundary-conditioned local neural solver across subdomains. In thi...

Exploration quality and policy parameter updates influence the training of deterministic actor–critic controllers. This study presents ES–TD3, an evolution strategy-assisted Twin Delayed Deep Deterministic Policy Gradient framework that c...

We study changes in group membership on a fixed network. Link costs are symmetric, with the larger of the two neighborhood adjustments applied to both players. A stable partition is reachable through a finite sequence of best responses and allows no...

Diagnostic accuracy studies often report only part of the $2\times 2$ table, leaving some of the key denominators or cell counts unknown and preventing direct calculation of sensitivity, specificity, and related measures. In this paper, we develop Baye...

Traditional time-domain signal analysis typically characterizes a signal directly in its original domain, potentially overlooking structural information encoded in its geometry. This study proposes a geometric-algebraic framework for characterizing t...

The generalized-root construction of Elin and Jacobzon is considered here for holomorphic operator factorizations of the identity on a complex Hilbert ball. After a unit vector is fixed, the cubic parameters obtained from the derivative at the origin...

We study the topological degree for densely defined operators of class $\left(S_{+}\right)$ with compact multivalued perturbations. It is assumed that a perturbation can be represented as a sum of two terms: a multivalued mapping which is itself a composition of a c...

Gravitational torque at manipulator joints persists even at rest and thus determines the continuous torque rating of the actuator. This study developed and validated a passive gravity-compensation joint wherein a cam plate extends a compression-sprin...

The Marshall–Olkin bivariate Weibull model with modified singularity assigns positive probability to an unknown ray $x=\mu y$. We study inference for its location under exact and finite-resolution observation. With exact observations, repeated co...

A digital image is modeled as a finite metric space by equipping its pixel set with a color distance induced by a norm on ${\mathbb{R}}^3$. For a threshold $\delta$, we study the threshold topology $T_{\delta }$, generated by $\delta$-chain connectedness, and the separat...