“Editor’s note: This article is a part of our series on visualizing the foundations of machine learning.”

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“Since the quality of data-driven ROMs is sensitive to the quality of the limited training data, we seek to identify training parameters for which using the associated training data results in the best possible parametric ROM.”

“The article references C.S. Lewis's 'The Abolition of Man' and the concept of 'men without chests' as a key element of the predicted future. It also mentions the AI's potential morality being tied to the concept of entropy.”

“The article doesn't provide a direct quote, but the core finding is that AI models can develop gambling addiction.”

“The proposed sampler consistently improves sample quality under the same NFE budget and can be competitive with, and sometimes outperform, state-of-the-art higher-order samplers.”

“BEDA consistently outperforms strong baselines: on CKBG it improves success rate by at least 5.0 points across backbones and by 20.6 points with GPT-4.1-nano; on Mutual Friends it achieves an average improvement of 9.3 points; and on CaSiNo it achieves the optimal deal relative to all baselines.”

“AODDiff inherently enables uncertainty quantification via multiple sampling, offering critical confidence metrics for downstream applications.”

“The paper demonstrates a proof-of-concept generative surrogate for reconstructing coherent turbulent dynamics between sparse snapshots.”

“DTI-GP outperforms state-of-the-art solutions, and it allows (1) the construction of a Bayesian accuracy-confidence enrichment score, (2) rejection schemes for improved enrichment, and (3) estimation and search for top-$K$ selections and ranking with high expected utility.”

“The article is a research paper abstract, so a direct quote isn't available. The core concept revolves around 'Informative and Reusable Belief Tree Search' for robot applications.”

“Digital SemCom typically represents semantic information over a finite alphabet through explicit digital modulation, following two main routes: probabilistic modulation and deterministic modulation.”

“The paper derives closed-form BF structures and develops an efficient first-order algorithm to achieve high-quality local solutions.”

“HaluNet delivers strong detection performance and favorable computational efficiency, with or without access to context, highlighting its potential for real time hallucination detection in LLM based QA systems.”

“The authors obtain accurate ground-state energies for lattices up to 80 x 80 (6400 spins) and train deep Boltzmann machines for a system with 35 x 35 (1225 spins).”

“The paper introduces a Physics-Aware Groupwise Direct Preference Optimization (PhyGDPO) framework that builds upon the groupwise Plackett-Luce probabilistic model to capture holistic preferences beyond pairwise comparisons.”

“The paper introduces Energy-Aware Bayesian-CBFs (EB-CBFs) that construct conservative energy-based barriers directly from the Hamiltonian and vector-field posteriors, yielding safety filters that minimally modify a nominal controller while providing probabilistic energy safety guarantees.”

“The paper constructs a four-dimensional lattice-gas model with finite-range interactions that has non-periodic, ``quasicrystalline'' Gibbs states at low temperatures.”

“TRL achieves excellent calibration, matching or exceeding the reliability of Deep Ensembles (in terms of ECE) while requiring only a fraction (1/5) of the training cost.”

“Backpropagation arises as the differential of a KL projection map on a delta-lifted factorization.”

“The paper proves the existence of an optimal closed-loop policy for the original MFTG when the state spaces are at most countable and the action spaces are general Polish spaces.”

“The paper employs Bayesian model calibration (BMC) for probabilistic estimates of material parameters and conducts global sensitivity analysis to quantify the impact of uncertainties.”

“The SPDE-based extensions improve both point and probabilistic forecasts relative to standard benchmarks.”

“n-gram representations suffice as cognitive units of planning.”

“At the 68% confidence level, the maximum dark matter mass is estimated to be 0.150 solar masses, with an uncertainty.”

“DCK consistently outperforms conventional approaches in predictive accuracy and uncertainty quantification.”

“Causal questions can be tackled by writing down the probability of everything.”

“Model belief explains and predicts ground-truth model choice better than model choice itself, and reduces the computation needed to reach sufficiently accurate estimates by roughly a factor of 20.”

“"Something that is inherently probabilistic - LLM plus something that should be very deterministic - calculator, again, I welcome everyone to play with it - results are hilarious sometimes"”

“The paper demonstrates that the target density (rho) of parameters can be achieved in FL, under data and client participation heterogeneity, with minimal loss in statistical performance.”

“The capability of state-of-the-art mixed logit models to reveal the true Nash equilibria seems to be primarily contingent upon the type of choice behavior (probabilistic versus deterministic).”

“Understanding the characteristics of LLMs is key.”

“"Ah, there was a risk of an accommodating bias in the current thought process. I will correct it before output."”

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“ARFM is able to predict complex motions, and we demonstrate that conditioning robot action prediction and human motion prediction on predicted future tracks can significantly improve downstream task performance.”

“DICE achieves 85.7% agreement with human experts, substantially outperforming existing LLM-based metrics such as RAGAS.”

“The paper achieves explicitly computable constants that improve upon all previously known bounds, with a 14% improvement over the previous best constant for dimension 3.”

“The CCDDPM leverages the signal intensity-based 6G V2X Radio Environment Map (REM) from limited historical transmitter vehicles in a specific region, to predict the REMs for a transmitter vehicle with arbitrary coordinates across the same region.”

“The core result is an 'advantage-based routing law' for attention scores and a 'responsibility-weighted update' for values, which together induce a positive feedback loop.”

“Debugging and refinement are often described as "rolling the dice."”

“The research focuses on decomposing uncertainty in probabilistic knowledge graph embeddings.”

“The article's source is ArXiv.”

“The paper proposes a novel framework of targeted learning via subpopulation matching, which decomposes both within- and between-study heterogeneity.”

“The method constructs a differentiable representation of the Quantum Chromodynamics (QCD) PV kernel and embeds it as a fixed, physics-preserving layer inside a neural network.”

“The introduction of a factor abstraction with five fundamental operations serves as a universal interface for manipulating factors regardless of their underlying representation.”

“The bidirectional constraint makes visual predictions executable and keeps decisions grounded in physically consistent, task-relevant futures, mitigating cumulative errors common in decoupled 'envision-then-plan' pipelines.”

“RIPCN introduces a dynamic impedance evolution network that captures directional traffic transfer patterns driven by road congestion level and flow variability, revealing the direct causes of uncertainty and enhancing both reliability and interpretability.”

“Sparse relaxations recover coalition structures whose welfare is arbitrarily close to optimal in polynomial time with high probability.”

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“Residual Prior Diffusion is a probabilistic framework integrating coarse latent priors with Diffusion Models.”