Table of Links Abstract and 1. Introduction 2. Financial Market Model and Worst-Case Optimization Problem 3. Solution to the Post-Crash Problem 4. Solution to the Pre-Crash Problem 5. A BSDE Characterization of Indifferences Strategies 6. The Markovian Case 7. Numerical Experiments Acknowledgments and References Appendix A. Proofs from Section 3 Appendix B. Proofs of BASDE Results from Section 5 Appendix C. Proofs of (CIR) Results from Section 6 6. The Markovian Case The last proposition associates the indifference […]

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arXiv:2601.14173v1 Announce Type: cross Abstract: We study low-rank tensor-product B-spline (TPBS) models for regression tasks and investigate Dirichlet energy as a measure of smoothness. We show that TPBS models admit a closed-form expression for the Dirichlet energy, and reveal scenarios where perfect interpolation is possible with exponentially small Dirichlet energy. This renders global Dirichlet energy-based regularization ineffective. To address this limitation, we propose a novel regularization strategy based on local Dirichlet energies defined on small hypercubes centered at […]

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Claude’s new constitution Late last year Richard Weiss found something interesting while poking around with the just-released Claude Opus 4.5: he was able to talk the model into regurgitating a document which was not part of the system prompt but appeared instead to be baked in during training, and which described Claude’s core values at great length. He called this leak the soul document, and Amanda Askell from Anthropic quickly confirmed that it was indeed part of Claude’s […]

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Hi all, I’m trying to better understand how IEEE/ICIP authorship standards are interpreted in practice. Our ICIP 2026 submission was desk-rejected after the committee reviewed the author contribution statements. The message said that one or more listed authors did not meet IEEE authorship conditions, particularly the requirement of a significant intellectual contribution, and that some of the described contributions were considered more appropriate for acknowledgments than authorship. I am not posting to dispute the decision. I understand the […]

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arXiv:2601.20903v1 Announce Type: new Abstract: Multi-turn jailbreak attacks have emerged as a critical threat to Large Language Models (LLMs), bypassing safety mechanisms by progressively constructing adversarial contexts from scratch and incrementally refining prompts. However, existing methods suffer from the inefficiency of incremental context construction that requires step-by-step LLM interaction, and often stagnate in suboptimal regions due to surface-level optimization. In this paper, we characterize the Intent-Context Coupling phenomenon, revealing that LLM safety constraints are significantly relaxed when a […]

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arXiv:2601.08858v1 Announce Type: new Abstract: Large Language Models (LLMs) are increasingly deployed in sensitive domains such as healthcare, finance, and law, yet their integration raises pressing concerns around trust, accountability, and reliability. This paper explores adaptive trust metrics for multi LLM ecosystems, proposing a framework for quantifying and improving model reliability under regulated constraints. By analyzing system behaviors, evaluating uncertainty across multiple LLMs, and implementing dynamic monitoring pipelines, the study demonstrates practical pathways for operational trustworthiness. Case studies […]

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arXiv:2602.00986v1 Announce Type: new Abstract: In this paper, we identify a sparse reward subsystem within the hidden states of Large Language Models (LLMs), drawing an analogy to the biological reward subsystem in the human brain. We demonstrate that this subsystem contains value neurons that represent the model’s internal expectation of state value, and through intervention experiments, we establish the importance of these neurons for reasoning. Our experiments reveal that these value neurons are robust across diverse datasets, model […]

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Author(s): Mandar Karhade, MD. PhD. Originally published on Towards AI. Why Sequoia and the Tech World Are Betting the House on Voice Agents Another day another news cycle dominated by a valuation number that looks like a typo. But here’s the thing: this one might actually make sense. If this is not it… then what is? We are witnessing the coronation of the first true platform giant of the generative voice era.The article discusses ElevenLabs’ impressive rise, fueled […]

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In 1973, engineers at General Dynamics rolled out a prototype for a new fighter jet. It was called the YF-16. It resembled a standard combat plane. It had cropped-delta wings. It had a massive engine. It had a sleek cockpit. But it harbored a deeply counterintuitive secret. It was intentionally designed to be impossible to fly. Prior to the F-16, a pilot was physically connected to the airplane. When a pilot pulled the stick back, mechanical cables physically […]

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Cops and Robbers is a pursuit evasion game played on a graph, first introduced independently by Quilliot cite{quilliot1978jeux} and Nowakowski and Winkler cite{NOWAKOWSKI1983235} over four decades ago. A main interest in recent the literature is identifying the cop number of graph families. The cop number of a graph, $c(G)$, is defined as the minimum number of cops required to guarantee capture of the robber. Determining the cop number is computationally difficult and exact algorithms for this are typically […]

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