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Constitutive plasma membrane interaction of active Rho GEF Ect2 inhibits cortex contraction pulses
During cell division, multiple guanine nucleotide exchange factors (GEFs), including the mitotic regulator Ect2 and Lbc-type GEFs, regulate the dynamics of RhoA activity and actomyosin contractility. In interphase, Lbc-type GEFs are predominantly cytosolic and are transiently recruited to the plasma membrane via a Rho-dependent positive-feedback mechanism that generates stochastic pulses of Rho activity and cortical contractions. In contrast, during interphase, Ect2 is primarily sequestered...
Sci-Rho: A Multilingual Visually-Grounded Symbolic Benchmark for STEM Problems
Announce Type: new Abstract: Symbolic benchmarks have emerged as a key approach to assess model robustness under minor modifications to STEM-related questions. However, existing symbolic benchmarks mostly remain limited to mathematical reasoning, lack visual grounding, and are predominantly in English. In this work, we introduce Sci-Rho (Science Rhobustness), a dynamic benchmark for visually-grounded STEM problems spanning five subjects and seven languages, comprising 4,242 problem templates...
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...
Approximation by short exponential sums with geometric error decay based on Gauss quadrature
Announce Type: new Abstract: We present new short exponential sum approximations of length $N$ for $f_1(x)=\frac{1}{a+x}$ with $a>0$ on $[0, \infty)$ and for $f_2(x)= {\mathrm e}^{-x^2/2\sigma}$ with $\sigma>0$ on ${\mathbb R}$ with geometric error decay ${\rho}^{-2N}$ for user-defined $N \ge 2$ and $\rho > The approximations are built over consecutive intervals $[b_j, \, b_{j+1}) \subset [0, \infty)$, $j \in {\mathbb N}_{0}$, with interval lengths that depend on $\rho$ and grow...
South Korea election chief quits over ballot paper shortages
South Korea election chief quits over ballot paper shortages Rho Tae-ak said the ballot paper shortage had understandably raised distrust in the election process. SEOUL: The head of South Korea's National Election Commission (NEC) said on Friday (Jun 5) that he would step down to take responsibility for a shortage of ballot papers in some districts in Wednesday's local elections that disrupted voting and triggered a public outcry. Rho Tae-ak said there could be no excuse for the failure that...
Asymptotic Optimality of Thompson Sampling for Risk-Averse Bandits with Sub-Gaussian Rewards
arXiv:2606.09191v1 Announce Type: new Abstract: We prove that $\rho\text{-}\mathrm{NPTS}_{\mathrm{SG}}$, an anchor-free nonparametric Thompson Sampling algorithm for risk-averse bandits, achieves regret matching the instance-dependent lower bound to leading order in $\log n$, establishing it as asymptotically optimal for any continuous risk functional $\rho$ (CVaR, mean-variance, Sharpe ratio, distortion risk measures, and more) on the class of distributions with bounded density and...
Palindrome complexity versus factor complexity
arXiv:2606.08127v1 Announce Type: cross Abstract: Let ${\bf x} = (a_i)_{i \geq 0}$ be an infinite word over a finite alphabet $\Sigma$. Let $\rho (n)$ be the factor complexity function for $\bf x$ and ${\rm Pal}(n)$ be the palindrome complexity function for $\bf x$. We give a new relationship between these two quantities; namely, if $\bf x$ is not ultimately periodic, then $$ \lim_{n \rightarrow \infty} {{ {\rm Pal} (n) \log ({\rm Pal} (n) + 1)} \over {\rho (n)}} = 0.
APEX4: Efficient Pure W4A4 LLM Inference via Intra-SM Compute Rebalancing
arXiv:2606.08761v1 Announce Type: new Abstract: W4A4 quantization promises full utilization of INT4 Tensor Cores, yet group dequantization overhead on CUDA Cores has driven existing systems to mixed-precision fallbacks. We present the first systematic study of how intra-SM compute balance governs this bottleneck. Through controlled benchmarks across four GPUs from Ampere and Ada architectures, we identify the Tensor Cores to CUDA Cores throughput ratio ($\rho$) as the primary hardware...
Exact Unlearning in Reinforcement Learning
arXiv:2606.04182v1 Announce Type: new Abstract: We formulate the problem of \emph{exact unlearning} in reinforcement learning, where the goal is to design an efficient framework that enables the removal of any user's data upon deletion request, i.e., the online learner's output after unlearning is \emph{indistinguishable} from what would have been produced had the deleted user never interacted with the learner. For any $\rho >0$, we show that there exists a reinforcement learning (RL)...
Simultaneous EF1 and approximate MMS allocations for submodular valuations
Announce Type: new Abstract: There are two common classes of fairness notions that are considered when allocating $m$ indivisible items to $n$ agents of equal entitlements. One is that of share-based fairness notions, with the maximin share (MMS) and its relaxations to $\rho$-MMS being prominent representatives of this class. The other is that of comparison-based fairness notions, with envy-freeness (EF) and its relaxations such as EF1 being prominent representatives of this class.