When is a closed-form RGB->S/P ratio adequate? A hyperspectral characterization on natural scenes for mesopic display
研究通过高光谱图像评估了在自然场景下使用闭合形式从RGB估计S/P比的准确性，发现经色适应处理后该方法误差较小。
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Chroma-gated, differentiable OKLCH interpolation: Continuous Oklab fallback for color-cast reduction
This work addresses two types of chromatic artifacts—hue looping and neutral-axis deviation—that arise during OKLCH interpolation in low-saturation regions, noting that existing approaches only mitigate the latter. To resolve both issues simultaneously, the authors propose a continuously differentiable chroma-gated interpolation mechanism that smoothly blends between OKLCH and linear Oklab paths. Built upon the Oklab color space, the method employs a single-parameter gating function of Michaelis–Menten form, $w(C) = C^n / (C^n + \sigma^n)$, enabling differentiable fusion without requiring thresholds or endpoint detection. Experimental results demonstrate that, under default parameters, the approach reduces the average lateral deviation of hue trajectories by 49.5% and decreases chroma-weighted hue shift by 35.5%, offering a generic and backward-compatible solution for modern CSS color interpolation.
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Sibley's Guard-Point Convexity Measure: A Perimeter Counterexample and a Dominance Bound
This study investigates the pointwise relationship between Sibley’s guard-point convexity measure \( G(F) \) and the perimeter-based convexity measure \( P(F) \). Through geometric construction and inequality analysis, the authors present the first counterexample—a non-convex pentagon—for which \( G(F) = 62/63 > 185/189 = P(F) \), thereby disproving the conjecture that \( G(F) \leq P(F) \) holds pointwise. Concurrently, they establish a universal upper bound \( G(F) \leq 2P(F) \), demonstrating that the two measures remain asymptotically non-dominating. This work clarifies the theoretical boundaries between these two convexity measures and strengthens the mathematical foundation for comparing convexity in simple polygons.
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NRR-Phi: Text-to-State Mapping for Ambiguity Preservation in LLM Inference
This work addresses the tendency of large language models to prematurely commit to a single semantic interpretation when processing ambiguous inputs, thereby collapsing multiple plausible meanings into one output. To mitigate this, the authors propose a text-to-state mapping framework φ that preserves semantic ambiguity through a three-stage process: conflict detection, interpretation extraction, and state construction—operating within a non-collapsed state space. This framework establishes the first algorithmic bridge from text to a state space for non-resolution reasoning (NRR), enabling delayed collapse of ambiguity and supporting cross-lingual extension. It integrates rule-based explicit conflict markers (e.g., contrastive conjunctions) with LLM-driven enumeration of implicit ambiguities (cognitive, lexical, and structural). Evaluated on a test set of 68 ambiguous sentences, the method yields generated states with an average entropy of 1.087 bits—significantly outperforming collapsed baselines (entropy = 0)—and demonstrates cross-lingual validity using Japanese markers.
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When is a closed-form RGB->S/P ratio adequate? A hyperspectral characterization on natural scenes for mesopic display
研究通过高光谱图像评估了在自然场景下使用闭合形式从RGB估计S/P比的准确性，发现经色适应处理后该方法误差较小。
0 citationsRead paper
Chroma-gated, differentiable OKLCH interpolation: Continuous Oklab fallback for color-cast reduction
This work addresses two types of chromatic artifacts—hue looping and neutral-axis deviation—that arise during OKLCH interpolation in low-saturation regions, noting that existing approaches only mitigate the latter. To resolve both issues simultaneously, the authors propose a continuously differentiable chroma-gated interpolation mechanism that smoothly blends between OKLCH and linear Oklab paths. Built upon the Oklab color space, the method employs a single-parameter gating function of Michaelis–Menten form, $w(C) = C^n / (C^n + \sigma^n)$, enabling differentiable fusion without requiring thresholds or endpoint detection. Experimental results demonstrate that, under default parameters, the approach reduces the average lateral deviation of hue trajectories by 49.5% and decreases chroma-weighted hue shift by 35.5%, offering a generic and backward-compatible solution for modern CSS color interpolation.
0 citationsRead paper
Sibley's Guard-Point Convexity Measure: A Perimeter Counterexample and a Dominance Bound
This study investigates the pointwise relationship between Sibley’s guard-point convexity measure \( G(F) \) and the perimeter-based convexity measure \( P(F) \). Through geometric construction and inequality analysis, the authors present the first counterexample—a non-convex pentagon—for which \( G(F) = 62/63 > 185/189 = P(F) \), thereby disproving the conjecture that \( G(F) \leq P(F) \) holds pointwise. Concurrently, they establish a universal upper bound \( G(F) \leq 2P(F) \), demonstrating that the two measures remain asymptotically non-dominating. This work clarifies the theoretical boundaries between these two convexity measures and strengthens the mathematical foundation for comparing convexity in simple polygons.
0 citationsRead paper
NRR-Phi: Text-to-State Mapping for Ambiguity Preservation in LLM Inference
This work addresses the tendency of large language models to prematurely commit to a single semantic interpretation when processing ambiguous inputs, thereby collapsing multiple plausible meanings into one output. To mitigate this, the authors propose a text-to-state mapping framework φ that preserves semantic ambiguity through a three-stage process: conflict detection, interpretation extraction, and state construction—operating within a non-collapsed state space. This framework establishes the first algorithmic bridge from text to a state space for non-resolution reasoning (NRR), enabling delayed collapse of ambiguity and supporting cross-lingual extension. It integrates rule-based explicit conflict markers (e.g., contrastive conjunctions) with LLM-driven enumeration of implicit ambiguities (cognitive, lexical, and structural). Evaluated on a test set of 68 ambiguous sentences, the method yields generated states with an average entropy of 1.087 bits—significantly outperforming collapsed baselines (entropy = 0)—and demonstrates cross-lingual validity using Japanese markers.
0 citationsRead paper