Flows and stochastic Taylor series in Ito calculus

For stochastic systems driven by continuous semimartingales an explicit formula for the logarithm of the Ito flow map is given. A similar formula is also obtained for solutions of linear matrix-valued SDEs driven by arbitrary semimartingales. The computation relies on the lift to quasi-shuffle algebras of formulas involving products of Ito integrals of semimartingales. Whereas the Chen-Strichartz formula computing the logarithm of the Stratonovich flow map is classically expanded as a formal sum indexed by permutations, the analogous formula in Ito calculus is naturally indexed by surjections. This reflects the change of algebraic background involved in the transition between the two integration theories

Spatiotemporal salient points for visual recognition of human actions

This paper addresses the problem of human action recognition by introducing a sparse representation of image sequences as a collection of spatiotemporal events that are localized at points that are salient both in space and time. We detect the spatiotemporal salient points by measuring the variations in the information content of pixel neighborhoods not only in space but also in time. We introduce an appropriate distance metric between two collections of spatiotemporal salient points that is based on the Chamfer distance and an iterative linear time warping technique that deals with time expansion or time compression issues. We propose a classification scheme that is based on Relevance Vector Machines and on the proposed distance measure. We present results on real image sequences from a small database depicting people performing 19 aerobic exercises

MOAB: Multi-Modal Outer Arithmetic Block for Fusion of Histopathological Images and Genetic Data for Brain Tumor Grading

Brain tumors are an abnormal growth of cells in the brain. They can be classified into distinct grades based on their growth. Often grading is performed based on a histological image and is one of the most significant predictors of a patient's prognosis; the higher the grade, the more aggressive the tumor. Correct diagnosis of the tumor's grade remains challenging. Though histopathological grading has been shown to be prognostic, results are subject to interobserver variability, even among experienced pathologists. Recently, the World Health Organization reported that advances in molecular genetics have led to improvements in tumor classification. This paper seeks to integrate histological images and genetic data for improved computer-aided diagnosis. We propose a novel Multi-modal Outer Arithmetic Block (MOAB) based on arithmetic operations to combine latent representations of the different modalities for predicting the tumor grade (Grade II, III and IV). Extensive experiments evaluate the effectiveness of our approach. By applying MOAB to The Cancer Genome Atlas (TCGA) glioma dataset, we show that it can improve separation between similar classes (Grade II and III) and outperform prior state-of-the-art grade classification techniques

Exponential Renormalization II: Bogoliubov's R-operation and momentum subtraction schemes

This article aims at advancing the recently introduced exponential method for renormalisation in perturbative quantum field theory. It is shown that this new procedure provides a meaningful recursive scheme in the context of the algebraic and group theoretical approach to renormalisation. In particular, we describe in detail a Hopf algebraic formulation of Bogoliubov's classical R-operation and counterterm recursion in the context of momentum subtraction schemes. This approach allows us to propose an algebraic classification of different subtraction schemes. Our results shed light on the peculiar algebraic role played by the degrees of Taylor jet expansions, especially the notion of minimal subtraction and oversubtractions.Comment: revised versio

PKM PENANGGULANGAN GIZI BURUK KELOMPOK ANAK BALITA (BAWAH LIMA TAHUN) DI KAMPUNG KARATUNG I KECAMATAN MANGANITU KABUPATEN KEPULAUAN SANGIHE PROVINSI SULAWESI UTARA

Keadaan gizi kurang dapat ditemukan pada setiap kelompok masyarakat dan setiap sudut dunia. Anak-anak menghadapi resiko paling besar untuk mengalami gizi kurang Masalah gizi pada hakikatnya adalah masalah kesehatan masyarakat, namun penanggulangannya tidak dapat dilakukan dengan pendekatan medis dan pelayanan kesehatan saja. Berbagai penelitian mengungkapkan bahwa kekurangan gizi, terutama pada usia dini akan berdampak pada tumbuh kembang anak. Anak yangkurang gizi akan tumbuh kecil, kurus, dan pendek. Kampung Karatung I merupakan kampung dengan jumlah balita terbanyak di Kecamatan Manganitu Kabupaten Kepulauan Sangihe. Tahun 2017 di Kampung Karatung I jumlah balita sebanyak 50 orang balita dari 245 Kepala Keluarga. Tahun 2016 ada beberapa balita di Kampung Karatung I yang mendapatkan observasi ketat Salah satu akibat krisis ekonomi adalah penurunan daya beli masyarakat termasuk kebutuhan pangan. Hal ini menyebabkan penurunan kecukupan gizi masyarakat yang selanjutnya dapat menurunkan status gizi. Tujuan kegiatan PKM ini adalah meringankan masalah penurunan kecukupan gizi oleh masyarakat. Solusi yang ditawarkan yaitu Penilaian status gizi dengan cara antropometri kepada seluruh anak balita, pemantauan pertumbuhan dan perkembangan bayi, anak balita dengan Kartu Kembang Anak,pemberian konseling dan Penyuluhan gizi kepada ibu hamil, ibu menyusui dan ibu anak balita, pemberian Makanan Pendamping ASI dan Pemberian Makanan Tambahan (PMT) kepada anak yang tidak cukup pertumbuhannya dan anak yang berat badannya berada di di bawah garis merah KMS, pelatihan Kader untuk menilai pertumbuhan anak, dan memantau perkembangan ibu hamil ibumenyusui, dan anak balita. Kegiatan PKM ini menunjukkan bahwa berdasarkan penilaian status gizi ada 4 orang anak usia 3-5 tahun yang mengalami BB kurang da nada 3 orang anak usia 3-5 tahun yang mengalami Stunting. Proses Sosialisasi terlaksana dengan baik sehingga sambutan dari Kapitalaung dan Kepala Puskesmas serta masyarakat sangat baik. Pelaksanaan Pengabdian Kepada Masyarakat (PKM) berjalan dengan bertempat di Kantor Kapitalaung Kampung Karatung I dan Puskesmas Pembantu Kampung Karatung I Kecamatan Manganitu. Ruangan disediakan tempat duduk, meja, LCD, Screen/layar, semua peralatan ruangan disediakan oleh perangkat Kampung. Pelatihan kepada kader berjalan dengan lancar. Kader mendapatkan ilmu dan materi dari narasumber. Penilaian status gizi, penyuluhan kesehatan , deteksi tumbuh kembang dan pemberian makanan tambahan (PMT) telah dilaksanakan sepenuhnya oleh kader yang sudah mengikuti pelatihan. Kerjasama antara tim pelaksana serta mahasiswa sangat baik dan penuh semangat meskipun jarak yang cukup jauh dan melelahkan. Untuk Mitra agar melakukan pemantauan secara berkala terhadap anak balita sehingga setiap penyimpangan tumbuh kembang dapat dideteksi secara dini

Rota-Baxter algebras and new combinatorial identities

The word problem for an arbitrary associative Rota-Baxter algebra is solved. This leads to a noncommutative generalization of the classical Spitzer identities. Links to other combinatorial aspects, particularly of interest in physics, are indicated.Comment: 8 pages, improved versio