Articles tagged with Matrix Multiplication
Comprehensive exploration of living organisms, biological systems, and life processes across all scales from molecules to ecosystems. Encompasses cutting-edge research in biology, genetics, molecular biology, ecology, biochemistry, microbiology, botany, zoology, evolutionary biology, genomics, and biotechnology. Investigates cellular mechanisms, organism development, genetic inheritance, biodiversity conservation, metabolic processes, protein synthesis, DNA sequencing, CRISPR gene editing, stem cell research, and the fundamental principles governing all forms of life on Earth.
Comprehensive medical research, clinical studies, and healthcare sciences focused on disease prevention, diagnosis, and treatment. Encompasses clinical medicine, public health, pharmacology, epidemiology, medical specialties, disease mechanisms, therapeutic interventions, healthcare innovation, precision medicine, telemedicine, medical devices, drug development, clinical trials, patient care, mental health, nutrition science, health policy, and the application of medical science to improve human health, wellbeing, and quality of life across diverse populations.
Comprehensive investigation of human society, behavior, relationships, and social structures through systematic research and analysis. Encompasses psychology, sociology, anthropology, economics, political science, linguistics, education, demography, communications, and social research methodologies. Examines human cognition, social interactions, cultural phenomena, economic systems, political institutions, language and communication, educational processes, population dynamics, and the complex social, cultural, economic, and political forces shaping human societies, communities, and civilizations throughout history and across the contemporary world.
Fundamental study of the non-living natural world, matter, energy, and physical phenomena governing the universe. Encompasses physics, chemistry, earth sciences, atmospheric sciences, oceanography, materials science, and the investigation of physical laws, chemical reactions, geological processes, climate systems, and planetary dynamics. Explores everything from subatomic particles and quantum mechanics to planetary systems and cosmic phenomena, including energy transformations, molecular interactions, elemental properties, weather patterns, tectonic activity, and the fundamental forces and principles underlying the physical nature of reality.
Practical application of scientific knowledge and engineering principles to solve real-world problems and develop innovative technologies. Encompasses all engineering disciplines, technology development, computer science, artificial intelligence, environmental sciences, agriculture, materials applications, energy systems, and industrial innovation. Bridges theoretical research with tangible solutions for infrastructure, manufacturing, computing, communications, transportation, construction, sustainable development, and emerging technologies that advance human capabilities, improve quality of life, and address societal challenges through scientific innovation and technological progress.
Study of the practice, culture, infrastructure, and social dimensions of science itself. Addresses how science is conducted, organized, communicated, and integrated into society. Encompasses research funding mechanisms, scientific publishing systems, peer review processes, academic ethics, science policy, research institutions, scientific collaboration networks, science education, career development, research programs, scientific methods, science communication, and the sociology of scientific discovery. Examines the human, institutional, and cultural aspects of scientific enterprise, knowledge production, and the translation of research into societal benefit.
Comprehensive study of the universe beyond Earth, encompassing celestial objects, cosmic phenomena, and space exploration. Includes astronomy, astrophysics, planetary science, cosmology, space physics, astrobiology, and space technology. Investigates stars, galaxies, planets, moons, asteroids, comets, black holes, nebulae, exoplanets, dark matter, dark energy, cosmic microwave background, stellar evolution, planetary formation, space weather, solar system dynamics, the search for extraterrestrial life, and humanity's efforts to explore, understand, and unlock the mysteries of the cosmos through observation, theory, and space missions.
Comprehensive examination of tools, techniques, methodologies, and approaches used across scientific disciplines to conduct research, collect data, and analyze results. Encompasses experimental procedures, analytical methods, measurement techniques, instrumentation, imaging technologies, spectroscopic methods, laboratory protocols, observational studies, statistical analysis, computational methods, data visualization, quality control, and methodological innovations. Addresses the practical techniques and theoretical frameworks enabling scientists to investigate phenomena, test hypotheses, gather evidence, ensure reproducibility, and generate reliable knowledge through systematic, rigorous investigation across all areas of scientific inquiry.
Study of abstract structures, patterns, quantities, relationships, and logical reasoning through pure and applied mathematical disciplines. Encompasses algebra, calculus, geometry, topology, number theory, analysis, discrete mathematics, mathematical logic, set theory, probability, statistics, and computational mathematics. Investigates mathematical structures, theorems, proofs, algorithms, functions, equations, and the rigorous logical frameworks underlying quantitative reasoning. Provides the foundational language and tools for all scientific fields, enabling precise description of natural phenomena, modeling of complex systems, and the development of technologies across physics, engineering, computer science, economics, and all quantitative sciences.
Researchers have developed big algebras, a new mathematical tool that connects abstract algebra and geometry, enabling unprecedented insights into symmetry groups. This breakthrough has the potential to strengthen the connection between quantum physics and number theory.
Researchers at Peking University developed a dual-IMC scheme to accelerate machine learning and improve energy efficiency. The new computing scheme stores both neural network weights and inputs in memory, reducing data movement and power consumption.
Researchers extend spatially incoherent diffractive networks to perform complex-valued linear transformations with negligible error, opening up new applications in fields like autonomous vehicles. This breakthrough enables the encryption and decryption of complex-valued images using spatially incoherent diffractive networks.
Researchers developed an easy-to-use optical chip that can configure itself for different functions, enabling optical neural network applications. The chip achieves positive real-valued matrix computation and demonstrates optical routing, low-loss light energy splitting, and matrix computations.
Researchers designed a simplified Mach-Zehnder interferometer mesh for real-valued matrix-vector multiplication, reducing hardware requirements and energy consumption. The new mesh detects incoherent light and is scalable, making it suitable for large-scale optical neural networks.
Researchers developed a new photonic blockchain called LightHash that uses a silicon photonics chip to reduce energy consumption in cryptocurrency mining. The approach could enable low-energy optical computing, reducing data centers' energy consumption and paving the way for more eco-friendly cryptocurrencies.
Researchers developed a novel design for the chip using a crossbar layout, outperforming state-of-the-art photonic counterparts in terms of scalability and technical versatility. The synergy of powerful photonics with the novel crossbar architecture enables next generation neuromorphic computing engines.
Researchers have developed a compact silicon photonic compute engine capable of computing tiled matrix multiplications at a record-high 50 GHz clock frequency. This achievement promises to contribute significantly to data center cybersecurity and enables real-time threat detection for malicious packets.
Researchers have developed a diffractive optical processor that can compute hundreds of transformations in parallel using wavelength multiplexing. The processor, which is powered by light instead of electricity, can execute multiple complex functions simultaneously at the speed of light.
A team of researchers at Harvard University has developed an ionic circuit that performs analog matrix multiplication, a key operation in neural networks, using ions in liquid. The breakthrough uses a pH-gated ionic transistor and expands to a 16x16 array for more complex computations.
Researchers have developed a photonic chip that can perform large complex-valued matrix-vector multiplications, breaking the bottleneck in traditional optical computing schemes. The chip has great potential for applications in artificial intelligence computing, such as image convolution and discrete Fourier transforms.
Researchers at Rice University have optimized artificial intelligence software to run on commodity processors and train deep neural networks up to 15 times faster than top GPU trainers. The 'sub-linear deep learning engine' (SLIDE) uses hash tables to solve the search problem of matrix multiplication, reducing training time for AI models.
DistME developed by DGIST team is a fast and elastic distributed matrix computation engine using GPUs. It can analyze 100 times larger matrix data than SystemML, achieving 6.5-14x speedup over ScaLAPACK.
Researchers at MIT and Stanford University present a new system for protecting genomic data privacy in large-scale biomedical studies. The system uses secret sharing to divide sensitive data among multiple servers, enabling efficient privacy protection for millions of genomes.
Researchers developed a system called Taco that generates optimized code for tensor algebra operations on sparse data, offering a 100-fold speedup over existing software. The system automatically optimizes code by tracking and discarding zero entries, reducing wasted computation.
A team of MIT researchers has developed a new approach to deep learning computations using light instead of electricity, potentially improving speed and efficiency for certain applications. The new programmable nanophotonic processor uses multiple light beams to carry out complex calculations with zero energy and near-instant results.
The new chip performs real-time HEVC encoding and decoding, enabling four times the resolution of current TVs. It achieves this through pipelining and matrix multiplication to reduce computational complexity.