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Omega-3 fish oil shows promise against type 2 diabetes
Omega-3 fish oil shows promise against type 2 diabetes Fish oil may help switch off inflammation-driven insulin resistance—even in type 2 diabetes patients who aren't overweight. - Date: - May 31, 2026 - Source: - São Paulo Research Foundation (FAPESP) - Summary: - A new study suggests fish oil may help reduce insulin resistance even in people who aren't obese.
$\omega$-EVA: Envision, Verify, and Act with Latent Interactive World Models
arXiv:2606.09457v1 Announce Type: new Abstract: Embodied policies typically map current observations directly to actions, leaving candidate-action consequences implicit. World models provide predictive supervision, representations, or external simulation, but rarely let a policy inspect the imagined consequence of its own proposal before acting. We introduce $\omega$-EVA, a latent interactive world model that realizes an Envision--Verify--Act loop for embodied action generation.
The memory of $\omega$-regular and BC($\Sigma_2^0$) objectives
arXiv:2502.05840v3 Announce Type: replace Abstract: In the context of 2-player zero-sum infinite-duration games played on (potentially infinite) graphs, the memory of an objective is the smallest integer k such that in any game won by Eve, she has a strategy with <= k states of memory. For omega-regular objectives, checking whether the memory equals a given number k was not known to be decidable. In this work, we focus on objectives in BC(Sigma0^2), i.e. recognised by a potentially infinite...
The memory of $\omega$-regular and BC($\Sigma_2^0$) objectives
arXiv:2502.05840v4 Announce Type: replace Abstract: In the context of 2-player zero-sum infinite-duration games played on (potentially infinite) graphs, the memory of an objective is the smallest integer k such that in any game won by Eve, she has a strategy with <= k states of memory. For omega-regular objectives, checking whether the memory equals a given number k was not known to be decidable. In this work, we focus on objectives in BC(Sigma0^2), i.e. recognised by a potentially infinite...
IRAM-Omega-Q: A Computational Framework for Uncertainty Regulation in Adaptive Agents
arXiv:2603.16020v2 Announce Type: replace Abstract: Adaptive agents operating under uncertainty must do more than optimize task outputs: they must maintain a workable internal state under noise, perturbation, and changing conditions. This paper introduces IRAM-Omega-Q, a computational framework for modeling uncertainty regulation in adaptive agents under stochastic disturbance. The framework combines a quantum-like state representation with closed-loop adaptive control over an internal...
Structures preserved by primitive actions of $S_\omega$
arXiv:2501.03789v4 Announce Type: replace-cross Abstract: We present a dichotomy for structures $A$ that are preserved by primitive actions of $S_{\omega} = \text{Sym}({\mathbb N})$: such a structure primitively positively constructs all finite structures and the constraint satisfaction problem is NP-complete, or the constraint satisfaction problem for $A$ is in P. To prove our result, we study the first-order reducts of the Johnson graph $J(k)$, for $k \geq 2$, whose automorphism group $G$...
Multi-clocked Guarded Recursion Beyond {\omega}
arXiv:2512.11361v2 Announce Type: replace Abstract: Type theories with multi-clocked guarded recursion provide a flexible framework for programming with coinductive types encoding productivity in types. Combining this with solutions to general guarded domain equations one can also construct relatively simple denotational models of programming languages with advanced features. These constructions have previously been explored in the setting of extensional type theory through a presheaf model,...
On the Duke--Erd\H{o}s--R\"odl Problem at the One-Third Threshold
Announce Type: cross Abstract: Let $G$ be an $n$-vertex graph with $e(G)\ge n^2/ k$. We prove a self-contained internal short-cycle core theorem at the threshold $k\le n^{1/3}$: the graph $G$ contains a subgraph $H_6$ with $\Omega(n^2/ k^3)$ edges in which every two distinct edges lie together on a cycle of length at most $6$ contained in $H_6$, and a subgraph $H_8$ with $\Omega(n^2/k^2)$ edges in which every two distinct edges lie together on a cycle of length at most $8$ contained in...
Value Functions as Supermartingale Certificates
Announce Type: new Abstract: Certification methods for stochastic systems provide sufficient proof rules, based on real-valued supermartingale certificates, to determine the almost-sure satisfaction of $\omega$-regular properties (and therefore of linear temporal logic) over general state spaces, encompassing both countably infinite and continuous state spaces. Conversely, reinforcement learning (RL) methods for $\omega$-regular tasks have received considerable attention, but they typically...
Structural properties of the implicit function defined by an integral self-consistency equation
arXiv:2606.04243v1 Announce Type: new Abstract: We study the integral equation $\int_0^m \eta\rho(\eta)/(C-\eta)\,d\eta = 1$ with $C>m$, where $\rho$ is a $C^1$ probability density on $[0,M]$ vanishing polynomially at $\eta=M$. Setting $\mathcal{I}^+(m) := \lim_{C \downarrow m}\int_0^m \eta\rho(\eta)/(C-\eta)\,d\eta$ and $\Omega := \{m \in (0,M) : \mathcal{I}^+(m) > 1\}$, the equation determines $C$ implicitly as a function of $m$ on $\Omega$, and our object of study is the dimensionless...