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At least 1,261 records · Page 70Linked to original sources

FLMNet: Self-Ensemble Distillation from Masks to Seeds for Single-Tower CTR Prediction

Click-through rate (CTR) prediction underpins recommender systems and online advertising, where high-dimensional categorical features interact in combinatorially many ways. Several recent CTR models, such as FinalNet and QNN, report higher accuracy when a network also learns from its own averaged predictions, for example by running the same network under different dropout patterns and training each run toward the average. Why this self-distillation helps, and whether its random sampling is needed, remains unclear. This work shows that as the number of dropout patterns grows without bound, the objective reduces exactly to the label loss of the logit-averaged prediction plus a penalty on how much the dropout copies of the network disagree. When dropout does not affect how a network gates its features, this penalty can be approximated in closed form, and FLMNet is designed on this principle and trains without sampling. Networks trained from different seeds disagree in the same form, and distilling several of them into one network recovers part of their ensemble gain. On five benchmarks against seventeen baselines, the resulting models take the top two places in accuracy with a single network at inference, and the gains of the penalty and of distillation, where measurable, largely add up.

cs.IR↗

Singularities of Multidimensional Item Response Models and the Rank of the Fisher Information Matrix

Statistical models in item response theory are known to be singular. This singularity manifests itself as a loss of rank in the Fisher information matrix, and the usual theories underlying AIC and BIC, which assume regularity, cannot be applied without further justification. Chen and colleagues analyzed this degeneracy and nonregular likelihood ratio tests, but their analysis does not identify all the directions that produce degeneracy or their dimensions. In this study, we analyze the entire kernel of the Fisher information matrix as a linear space for multidimensional item response models, separating the degeneracy due to rotations from that due to an over-specified latent dimension without double counting. We determine the dimension of each component and the exact rank of the information matrix, and prove a formula for computing, from the item parameters, the dimension of the degeneracy that remains after these components are removed. These results go beyond establishing the existence of singularity to identifying its causes and extent, providing a foundation for inference and model comparison in IRT.

math.ST↗

Spatio-temporal precipitation downscaling at hourly resolution based on km-scale regional simulations

Effectively preparing for changes in extreme flooding requires understanding present and future rainfall extremes with return periods up to $\sim$100-1000 years, including changes in intensity, spatial structure at km-scale and sub-daily temporal variability. Conventional km-scale climate models give greatly increased realism compared to typical global climate models (GCMs) but are too computationally costly to allow enough simulations for robustly quantifying changes in extremes. This work presents an approach based on video diffusion to generate realistic precipitation at 8.8km-hourly resolution by spatially and temporally downscaling daily, GCM-scale atmospheric variables. The emulator is trained to produce similar output to a $4\times$-coarsening of the Met Office's 2.2km-resolution UK convection-permitting model. An application for such an emulator is to downscale large-ensemble GCM simulations to allow quantification of $\sim$100-1000-year return level rainfall, which in turn can be used to drive hydrological and flood models for improved projections of future changes in flood risk.

physics.ao-ph↗

Prescribed Beurling densities in spectral eigen-subspaces

Let $(q,D,L)$ be a one-dimensional Hadamard triple with $2\leq m:=\#D<q$, and let $μ_{q,D}$ be the associated self-similar probability measure. Write $\mathcal T=\{t\in\mathbb Z:(q,D,tL)\text{ is a Hadamard triple}\}$. We prove that, for every $0<s<\log m/\log q$ and every $ζ\in[0,+\infty]$, there are continuum many spectra $Λ$ of $μ_{q,D}$ such that $tΛ$ is a spectrum for every $t\in\mathcal T$, $\dim_{\mathrm{Be}}Λ=s$, and $D_s^+(Λ)=ζ$. The construction combines a nested family of finite digit sets with lacunary spectral extensions. A two-sided interval-counting estimate controls the density of the prescribed subset, while the added frequencies ensure completeness for every multiplier without changing that density. Binary choices in the extension yield continuum many distinct spectra. This refines Beurling dimension interpolation in spectral eigen-subspaces by prescribing the upper density at every strictly intermediate dimension.

math.FA↗

Low-Latency Beam-Background Suppression for the BESIII Trigger System Using Machine Learning Trained on Experimental Data

Beam-induced backgrounds contribute to the trigger and data-acquisition rate at high-luminosity electron-positron colliders. Their dependence on beam and machine conditions motivates data-driven studies alongside simulation. A data-driven machine-learning method for trigger-level beam-background suppression is developed using experimental data recorded by BESIII. Compact neural-network classifiers are trained and evaluated for two trigger configurations: one based only on tracking and time-of-flight information, and one based only on electromagnetic-calorimeter information. Each classifier uses 48 binary Level-1 trigger conditions of the BESIII detector. The models distinguish hadron events from beam-background events and are evaluated against the established trigger selection at matched hadron-event efficiency. Relative to the established trigger selection, the beam-background false-positive rate is reduced by 20-60% across the studied configurations and center-of-mass energies, with stable suppression performance as tested using random-trigger data. Hardware-oriented synthesis indicates that the compact network is suitable for low-latency FPGA implementation. The proposed method can reduce the fraction of beam-background events in the trigger stream in future BESIII trigger upgrades. It also provides a reference for trigger optimization at future high-luminosity electron-positron colliders.

hep-ex↗

Motility-Induced Phase Separation of Run-and-Tumble Particles under Local Stochastic Resetting

We investigate the non-equilibrium stationary states of a one-dimensional active gas composed of run-and-tumble particles (RTPs) undergoing motility-induced phase separation (MIPS) and subjected to local stochastic resetting at the origin. Unlike global resetting, local resetting maintains a mass-injection flux at the origin while preserving large-scale spatial self-organization. We demonstrate that above a critical resetting rate $r_c$, the active system undergoes a transition toward a stationary two-phase state featuring a dense liquid droplet centered at the origin coexisting with a surrounding gas phase. Using kinetic evolution equations, we derive the exact steady-state density profile expressed in terms of the Lambert function. The size of the droplet has a non-monotonic dependence on the resetting rate $r$, and attains its maximum. Furthermore, we analyze the dynamical stability of the supersaturated gas phase and show that a nucleated droplet relaxes exponentially toward its steady-state size with a relaxation timescale of $1/r$. We extend our framework to model a finite resetting velocity, proving that the stationary droplet size is invariant with respect to the resetting velocity.

cond-mat.stat-mech↗

Superstability of micrometer viscous jets surrounded by weakly-elastic viscous shells

Our experiments demonstrate the strong stabilizing effect of a viscoelastic shell on flow-focused viscous jets. The results suggest that stabilization occurs when the polymer viscosity, $η_p$, exceeds a critical threshold, provided the extensional relaxation time, $λ$, is large enough to allow the polymer molecules to undergo the coil-stretch transition. Under these conditions, substantial extensional viscoelastic stresses develop as the liquid accelerates. Since both $η_p$ and $λ$ increase with shell viscosity, the polymer concentration required to stabilize the viscous jet decreases accordingly. Remarkably, moderately to highly viscous jets can be stabilized with very small polymer concentrations, for which no beads-on-a-string (BOAS) instability is observed.

cond-mat.soft↗

Bayesian Geometric Inversion for Wave Equation: Well-Posedness and Multiscale Multimodal Posterior Approximation

Geometric full-waveform inversion aims to recover sharp subsurface interfaces from noisy waveform observations. We formulate this problem within a Bayesian level-set framework, where the unknown interface is represented as zero level set of a latent function endowed with a Gaussian prior. Although the level-set-to-medium-parameter map is discontinuous, we establish that the level-set-to-observation map is continuous almost surely with respect to the prior, thereby guaranteeing that the posterior measure is well-posed and locally Lipschitz continuous with respect to the data in the Hellinger metric. To enable tractable posterior computation under the severe nonlinearity of the inverse problem and the resulting multimodality, we develop a multiscale multimodal Laplace approximation. A frequency-continuation strategy incorporates waveform data progressively from low to high frequencies, identifying and propagating multiple candidate modes across successive scales. At the final frequency level, local Gaussian approximations are constructed around the retained modes and combined into a Gaussian mixture, whose weights are determined by least-squares fitting to the unnormalized posterior density. Numerical experiments demonstrate that the method accurately reconstructs anomalous interfaces while effectively capturing posterior multimodality and the local uncertainty associated with distinct plausible geometries.

math.NA↗

$L^p$-Khinchin sequences and transference principles

A sequence \((λ_n)_{n\ge1}\) of distinct positive integers is called an \(L^p\)-Khinchin sequence, where $1\le p\le\infty$, if $ n^{-1}\sum_{k=1}^n f(λ_k x) \longrightarrow \int_{\mathbb T}f\,d\mathfrak m $ a.e. $x\in\mathbb T$ for every \(f\in L^p(\mathbb T)\). When $1\le p<\infty$, we characterize the \(L^p\)-Khinchin sequences by a weak $(p,p)$ maximal inequality for the associated averaging operators. We also establish a transference principle reducing the weak $(p,p)$ maximal inequality to weak $(p,p)$ maximal inequalities for three model systems: translation along a lattice path in the infinite direct sum of the semigroup $\mathbb{N}_0$, translation along a lattice path in the infinite direct sum of the group $\mathbb{Z}$ and translation on the circle $\mathbb{T}$. As consequences, we prove that $(2^n+1)_{n\ge1}$, the Fibonacci sequence, sequences of distinct primes and their partial products are \emph{not} $L^p$-Khinchin for any $1\le p<\infty$. We study the special class of multiplicative sequences generated by infinite words and we show that balanced infinite words generate $L^1$-Khinchin sequences, while typical random multiplicative sequences over at least two coprime integers are almost surely not $L^p$-Khinchin for any $1\le p<\infty$. We also obtain a {Conze-type principle} for countably generated semigroup actions on a probability space.

math.DS↗

Physics-Driven Framework for QoS-Constrained Satellite System with Non-Linear PA Distortion

This work develops a physics-driven self-supervised graph learning framework that directly optimizes the distortion-aware precoder under nonlinear correlated power amplifier (PA) distortion, without relying on expensive optimizer-generated labels for a user-centric satellite system. We minimize nonlinear PA consumption subject to user quality-of-service (QoS) constraints under PA nonlinearity for a downlink multi-input-single-output (MISO) satellite system. Our pipeline jointly designs the precoder and admission control that minimize nonlinear PA consumed power. In particular, a graph neural network (GNN) for the design of a distortion-aware precoder is optimized end-to-end in a self-supervised manner using a differentiable Itô-Hermite model of the true modified Rapp amplifier model. The precoder output by the GNN is used to initialize a low-complexity distortion-aware signal-to-interference-distortion (SINDR) tracking algorithm that jointly optimizes for power and admission control. Our proposed physics-based pipeline closely tracks a successive convex approximation (SCA) based solution in consumed power performance with the advantage of faster runtime and a wide operating range covered during training.

eess.SP↗

Quantum control as renormalization group flow

The Renormalization Group (RG) establishes relations between effective descriptions of physical systems at different scales; in Hamiltonian RG, these relations induce a flow in the space of Hamiltonians. In direct correspondence, we design an RG framework for quantum control by constructing a flow in the space of time-dependent Hamiltonians. A prescribed control subspace, selected to contain only experimentally accessible terms, forms the fixed-point manifold, while the flow preserves the target unitary and monotonically reduces the Hamiltonian weight outside this subspace. Exploiting the freedom in constructing the flow, we introduce flow-equation engineering to enhance the versatility of the framework for diverse control problems, including time-periodic and open-interval smooth protocols with prescribed endpoints. We provide two disparate applications to exhibit the utility of our approach: (i) Nonperturbative Floquet engineering beyond the regime of validity of high-frequency expansions, which we demonstrate by constructing an implementable time-periodic protocol for the Haldane model; (ii) Accessible fast-forward driving from unit-fidelity counterdiabatic evolution, which we showcase for large transverse-field Ising chains away from the adiabatic regime by compressing the long-range multibody adiabatic gauge potential into the original time-dependent Ising control schedules. Our control RG framework reveals a unifying perspective on Hamiltonian engineering and unitary quantum control, and can serve as an organizing principle behind seemingly disparate nonequilibrium quantum dynamics.

quant-ph↗

DeepSEA: A Multilingual Evaluation Benchmark for Southeast Asia

While language models have demonstrated remarkable capabilities, their performance remains disproportionately skewed towards high-resource languages. This disparity is particularly acute for the 700 million inhabitants of Southeast Asia, where vast linguistic diversity remains under-represented in existing benchmarks, often suffering from limited language coverage or narrow task scopes. To address this, we introduce DeepSEA, a comprehensive benchmark constructed from established datasets through professional human translation into 12 Southeast Asian languages, spanning both high-resource (e.g., Indonesian, Thai, Vietnamese) and low-resource (e.g., Burmese, Khmer, Lao) tiers across five distinct tasks: mathematical reasoning, scientific reasoning, question answering, abstractive summarization, and machine translation. Extensive evaluation of frontier proprietary and open-weights models reveals that while frontier models like Gemini-3.7-Flash maintain robustness across resource tiers, smaller models face severe performance degradation on low-resource languages. Crucially, models perform better in reasoning and summarization when pivoted through English rather than target languages, exposing a critical dependency on English representations, especially for low-resource languages. Beyond these observations, we provide a cross-lingual error analysis and a cross-script tokenizer fertility analysis. We hope these findings shed light on the development of next-generation inclusive multilingual models.

cs.CL↗

Dynamical Batching: How Class-Cycling Training Shapes the Internal Structure of Neural Networks

We investigate whether cyclically varying the class composition of training batches can modify both the performance and the internal organization of neural networks. Motivated by nonequilibrium systems, in which cycling between related sub-goals can make switching between their solutions increasingly efficient, we introduce Dynamical Batching (DB), a sampling protocol that periodically emphasizes each class while leaving the loss and the optimizer unchanged, and compare it with Uniform Batching (UB), in which every mini-batch has equal class proportions. In the regime where standard training fails, DB changes the outcome: on a three-arm spiral, a capacity-limited MLP that plateaus far below perfect accuracy under UB fits the training data under DB. Tracking individual weights, we find that under DB the change between class-specialized states is carried by a smaller set of weights than under UB, and that this set is markedly more persistent from cycle to cycle, on every synthetic dataset we test and in a wider network that fits the data under both protocols. This organization is a signature of the protocol rather than a predictor of its benefit: it appears equally where DB leaves accuracy unchanged. On CIFAR-10, the same protocol modestly improves the test accuracy of a channel-narrowed ResNet-10, a standard residual architecture, and of a second capacity-limited convolutional network. These results show that how class emphasis is distributed in time can shape both the solution a network reaches and the internal structure of the network.

cs.LG↗

A unified Carleman approach to inverse problems for coupled parabolic and hyperbolic-ODE equations

We study inverse coefficient problems for two evolution equations with relaxation: a Kelvin--Voigt viscoelastic equation and the Moore--Gibson--Thompson (MGT) equation arising in nonlinear acoustics. In both cases, we establish the Lipschitz stability for recovering a space-dependent coefficient from a single measurement. Our approach exploits an exact factorization of each operator into a classical evolution operator (the heat operator for the viscoelastic system, or the wave operator for the MGT equation) coupled with a first-order differential operator in time. This makes it possible to combine global Carleman estimates with weighted ODE inequalities. For the Kelvin--Voigt model, the data consist of an interior dynamic observation and a Cauchy snapshot at a prescribed positive time. For the MGT equation, a single boundary trace is sufficient under a standard geometric condition. The resulting argument provides a common framework for coefficient inverse problems in evolution equations with relaxation effects.

math.AP↗

Nanowire-Assisted Epitaxial Lateral Overgrowth of Planar GaN(0001) on Diamond(100)

GaN-on-diamond heterostructures are promising for high-power and high-frequency electronics, however, direct epi- taxial growth on diamond (100) remains challenging due to severe lattice and thermal mismatches, which induce high threading dislocation densities. To overcome this challenge, we have used Plasma Assisted Molecular Beam Epitaxy (PAMBE) to grow wurtzite GaN layers on diamond(100) substrates using nanowire-assisted epitaxial lateral overgrowth (ELOG). Two nanowire templates (NW100, NW600) were benchmarked against a nanowire-free reference (NW000). High-resolution XRD, ϕ -scans, (0002) pole figures, and reciprocal space mapping show that NW100 attains the lowest dislocation density (5.51 x 10-4 nm-2) and microstrain (2.736 x 10-3), the narrowest (0002) reflection, and a c-axis lattice parameter (5.1821 Å) within 0.06% of the bulk value; NW000, in contrast, exhibits a contracted c-axis (5.1633 Å) and elevated dislocation density (6.26 x 10-4 nm-2), consistent with residual tensile stress. Cross-sectional TEM con- firms the intended diamond/AlN/nanowire/ELOG/planar-GaN layer sequence and shows threading dislocations bending into near-lateral trajectories, directly evidencing defect filtering by the nanowire template. Together, these results estab- lish nanowire-assisted ELOG as an effective strategy to suppress dislocation propagation and recover near-bulk lattice parameters in GaN-on-diamond heteroepitaxy, providing a structurally well-defined platform for device integration.

cond-mat.mtrl-sci↗

Holistic Buoyancy-Driven Cloud Native Resource Management

Efficient resource management is a challenge in multi-tenant cloud environments as workloads compete for shared resources such as last-level cache and memory bandwidth, whose congestion can change dynamically as workload composition and resource demands evolve. Existing resource management approaches often rely on static resource requirements or prior workload profiling, limiting their ability to respond to changing resource contention as required in the cloud. In this paper, we leverage workload buoyancy, a runtime framework for capturing workload sensitivity to individual resources and application-level performance, to enable adaptive scheduling and resource management. We propose a holistic approach that incorporates buoyancy into workload scheduling, node-local resource allocation, and workload rescheduling throughout the workload lifecycle. We implement our approach as a Kubernetes-native prototype and evaluate it on a multi-node cluster using diverse cloud workloads under varying levels of resource contention. In a high-congestion scenario, our approach increases the percentage of workloads satisfying their SLOs from 7.74% to 87.8% on average compared with the Kubernetes baseline, while reducing resource congestion, the severity of SLO violations, and cluster fragmentation using limited rescheduling.

cs.DC↗

Critical functions and asymptotics for fractional Hartree Brezis--Nirenberg problems in low dimensions

We study the Brezis--Nirenberg problem for the fractional Laplacian with an upper critical Hartree nonlinearity on a bounded domain $Ω\subset\mathbb R^N$, in the low-dimensional range $2s<N<4s$. For a continuous potential $a$, we prove that the following properties are equivalent: the Robin function of $(-Δ)^s+a$ is negative somewhere in $Ω$; the associated Hartree--Sobolev quotient ${\mathcal S_{H,s}}(a)$ lies strictly below the best constant ${\mathcal S_{H,s}}$; and ${\mathcal S_{H,s}}(a)$ is attained. This leads to the notion of a critical potential, for which ${\mathcal S_{H,s}}(a)={\mathcal S_{H,s}}$ and every nontrivial decrease of $a$ lowers the infimum. For a critical potential $a$ and $V\in L^\infty(Ω)$, we determine the leading term in the asymptotics of ${\mathcal S_{H,s}}(a+\varepsilon V)$ as $\varepsilon\to0^+$ and describe the blow-up of almost-minimizers, including the concentration speed and the location of the concentration point. Compared with the Sobolev case, the nonlocal nonlinearity produces several new interaction terms; a key ingredient is a proof of non-attainment at the threshold based on the sharp Hardy--Littlewood--Sobolev inequality on the sphere.

math.AP↗