Abstract: Systems and methods are provided for employing analog content addressable memory (aCAMs) to achieve low latency complex distribution sampling. For example, an aCAM core circuit can include an aCAM array. Amplitudes of a probability distribution function are mapped to a width of one or more aCAM cells in each row of the aCAM array. The aCAM core circuit can also include a resistive random access memory (RRAM) storing lookup information, such as information used for processing a model. By randomly selecting columns to search of the aCAM array, the mapped probability distribution function is sampled in a manner that has low latency. The aCAM core circuit can accelerate the sampling step in methods relying on sampling from arbitrary probability distributions, such as particle filter techniques. A hardware architecture for an aCAM Particle Filter that utilizes the aCAM core circuit as a central structure is also described.

Abstract: Examples of the presently disclosed technology provide new circuits for detecting errors in aCAMs with improved efficiency. Specifically designed around the structure and operation of aCAM arrays, these circuits include counter sub-circuits electrically connected to match lines of aCAM rows such that the counter sub-circuits receive match-related signals output from aCAM rows. The value stored by a counter sub-circuit may change in response to receiving a match signal, and may remain the same in response to receiving a mismatch signal. As will be described in greater detail below, the stored value of the counter sub-circuit may be used to detect/identify an error in its associated aCAM row after a set of (specially-computed) error-detection input vectors are sequentially applied to the circuit.

Abstract: Systems and methods are provided for employing a current input analog content addressable memory (CI-aCAM). The CI-aCAM is particularly structured as aCAM that allows the analog signal that is input into the aCAM cell to be received as current. A larger hardware architecture that combines two core analog compute circuits, namely a dot product engine (DPE) circuit for matrix multiplications and an aCAM circuit for search operations can also be realized using the disclosed CI-aCAM. For instance, a DPE circuit, which output current signals, can be directly connected with the input of a CI-aCAM, which is designed to receive current signals in a manner that eliminates conversion steps and circuits (e.g., analog to digital and current to voltage). By leveraging CI-aCAMs, a combined DPE-aCAM hardware architecture can be a realized as a substantially compact structure.

Abstract: A crossbar array includes a number of memory elements. An analog-to-digital converter (ADC) is electronically coupled to the vector output register. A digital-to-analog converter (DAC) is electronically coupled to the vector input register. A processor is electronically coupled to the ADC and to the DAC. The processor may be configured to determine whether division of input vector data by output vector data from the crossbar array is within a threshold value, and if not within the threshold value, determine changed data values as between the output vector data and the input vector data, and write the changed data values to the memory elements of the crossbar array.

Abstract: The disclosure generally provides for a method of solving a K-SAT problem. The method comprises programming one or more clauses of a Boolean expression for a K-SAT problem written in negated disjunctive normal form (DNF) to a ternary-CAM (TCAM) array comprising columns and rows of TCAM cells, applying an interpretation comprising one or more binary variables expected to solve the Boolean expression as an input along the columns to the TCAM array, returning a binary value for each clause and updating one or more variables within the interpretation if at least one clause is violated.

Abstract: Embodiments of the disclosure provide a system, method, or computer readable medium for providing a differentiable content addressable memory (aCAM) that implements an analog input analog storage and analog output learning memory. The analog output of the differentiable CAM can provide input to a learning algorithm, which may compute the gradients in comparison to historic values and reduce data inaccuracies and power consumption.

Abstract: Embodiments of the disclosure provide a system, method, or computer readable medium for programming a target analog voltage range of an analog content addressable memory (aCAM) row. The method may comprise calculating a threshold current sufficient to switch a sense amplifier (SA) on and discharge a match line (ML) connected to a cell of the aCAM; and based on calculating the threshold current, programming a match threshold value by setting a memristor conductance in association with the target analog voltage range applied to a data line (DL) input. The target analog voltage range may comprise a target analog voltage range vector.

Abstract: An analog error correction circuit is disclosed that implements an analog error correction code. The analog circuit includes a crossbar array of memristors or other non-volatile tunable resistive memory devices. The crossbar array includes a first crossbar array portion programmed with values of a target computation matrix and a second crossbar array portion programmed with values of an encoder matrix for correcting computation errors in the matrix multiplication of an input vector with the computation matrix. The first and second crossbar array portions share the same row lines and are connected to a third crossbar array portion that is programmed with values of a decoder matrix, thereby enabling single-cycle error detection. A computation error is detected based on output of the decoder matrix circuitry and a location of the error is determined via an inverse matrix multiplication operation whereby the decoder matrix output is fed back to the decoder matrix.

Abstract: Examples increase precision for aCAMs by converting an input signal (x) received by a circuit into a first analog voltage signal (V(xMSB)) representing the most significant bits of the input signal (x) and a second analog voltage signal (V(xLSB)) representing the least significant bits of the input signal (x). By dividing the input signal (x) bit-wise into the first analog voltage signal (V(xMSB)) and the second analog voltage signal (V(xLSB)), the circuit can utilize aCAM sub-circuits implementing a combination of Boolean operations to search the input signal (x) against 22*M programmable levels, where “M” represents the number of programmable bits for each aCAM sub-circuit. Thus, using similar circuit hardware, example circuits square the number of programmable levels of conventional aCAMs (which generally only have 2M programmable levels). Accordingly, examples provide new aCAMs that can carry out more complex computations than conventional aCAMs of comparable cost, size, and power consumption.

Abstract: Systems and methods are provided for employing analog content addressable memory (aCAMs) to achieve low latency complex distribution sampling. For example, an aCAM core circuit can include an aCAM array. Amplitudes of a probability distribution function are mapped to a width of one or more aCAM cells in each row of the aCAM array. The aCAM core circuit can also include a resistive random access memory (RRAM) storing lookup information, such as information used for processing a model. By randomly selecting columns to search of the aCAM array, the mapped probability distribution function is sampled in a manner that has low latency. The aCAM core circuit can accelerate the sampling step in methods relying on sampling from arbitrary probability distributions, such as particle filter techniques. A hardware architecture for an aCAM Particle Filter that utilizes the aCAM core circuit as a central structure is also described.

Abstract: A crossbar array includes a number of memory elements. An analog-to-digital converter (ADC) is electronically coupled to the vector output register. A digital-to-analog converter (DAC) is electronically coupled to the vector input register. A processor is electronically coupled to the ADC and to the DAC. The processor may be configured to determine whether division of input vector data by output vector data from the crossbar array is within a threshold value, and if not within the threshold value, determine changed data values as between the output vector data and the input vector data, and write the changed data values to the memory elements of the crossbar array.

Abstract: The disclosure generally provides for a method of solving a K-SAT problem. The method comprises programming one or more clauses of a Boolean expression for a K-SAT problem written in negated disjunctive normal form (DNF) to a ternary-CAM (TCAM) array comprising columns and rows of TCAM cells. The method further includes applying an interpretation comprising one or more binary variables expected to solve the Boolean expression as an input along the columns to the TCAM array, returning a binary value for each clause, randomly selecting one matched match line, determining a selected clause from one or more violated clause, and altering one or more literals within the interpretation using a break count for each variable of the selected clause.

Abstract: The disclosure generally provides for a method of solving a K-SAT problem. The method comprises programming one or more clauses of a Boolean expression for a K-SAT problem written in negated disjunctive normal form (DNF) to a ternary-CAM (TCAM) array comprising columns and rows of TCAM cells, applying an interpretation comprising one or more binary variables expected to solve the Boolean expression as an input along the columns to the TCAM array, returning a binary value for each clause and updating one or more variables within the interpretation if at least one clause is violated.

Abstract: An analog error correction circuit is disclosed that implements an analog error correction code. The analog circuit includes a crossbar array of memristors or other non-volatile tunable resistive memory devices. The crossbar array includes a first crossbar array portion programmed with values of a target computation matrix and a second crossbar array portion programmed with values of an encoder matrix for correcting computation errors in the matrix multiplication of an input vector with the computation matrix. The first and second crossbar array portions share the same row lines and are connected to a third crossbar array portion that is programmed with values of a decoder matrix, thereby enabling single-cycle error detection. A computation error is detected based on output of the decoder matrix circuitry and a location of the error is determined via an inverse matrix multiplication operation whereby the decoder matrix output is fed back to the decoder matrix.

Abstract: Embodiments of the disclosure provide a system, method, or computer readable medium for programming a target analog voltage range of an analog content addressable memory (aCAM) row. The method may comprise calculating a threshold current sufficient to switch a sense amplifier (SA) on and discharge a match line (ML) connected to a cell of the aCAM; and based on calculating the threshold current, programming a match threshold value by setting a memristor conductance in association with the target analog voltage range applied to a data line (DL) input. The target analog voltage range may comprise a target analog voltage range vector.

Abstract: Systems and methods for an optical ternary content addressable memory (TCAM) are provided. The optical TCAM implements a time-division multiplexing (TDM) based encoding scheme to encode each bit position of a search word in the time domain. Each bit position is associated with at least two time slots. The encoded optical signal comprising the search word is routed through one or more modulators configured to represent a respective TCAM stored word. If a mismatch between at least one bit position of the search word and at least one TCAM stored word occurs, a photodetector or photodetector array will detect light.

Abstract: Systems are methods are provided for implementing an analog content addressable memory (analog CAM), which is particularly structured to allow for an amount of variance (fuzziness) in its search operations. The analog CAM may search for approximate matches with the data stored therein, or matches within a defined variance. Circuitry of the analog CAM may include transistor-source lines that receive search-variance parameters, and/or data lines that receive search-variance parameters explicitly within the search input data. The search-variance parameters may include an upper bound and a lower bound that define a range of values within the allotted amount of fuzziness (e.g., deviation from the stored value). The search-variance parameters may program (using analog approaches) the analog CAM to perform searches having a modifiable restrictiveness that is tuned dynamically, as defined by the input search-variance. Thus, highly efficient hardware for complex applications involving fuzziness are enabled.

Abstract: Systems and methods provide new circuits that increase aCAM precision by leveraging the concept of range segmenting to representationally store an analog voltage range across multiple aCAM cells/sub-circuits (here the representationally stored analog voltage range may correspond to a word entry). In this way, a circuit of the presently disclosed technology can increase precision (e.g., the number of programmable levels that can be used to store a word entry and/or the number of programmable levels that an input signal can be search against) linearly with each aCAM cell/sub-circuit added to the circuit. Accordingly, circuits of the presently disclosed technology can be used to carry out more complex computations than conventional aCAMs—and thus can be used in a wider range of computational applications.

Abstract: An analog content addressable memory (aCAM) that enables parallel searching of analog ranges of values and generates analog outputs that quantify matches between input data and stored data is disclosed. The input data can be compared with the stored data, and the input data can be determined to match the stored data based on a value associated with the input data being within a range associated with the stored data. The aCAM can generate an analog output that represents a number of matches and a number of mismatches between the input data and the stored data. Based on the analog output, whether the input data matches the stored data and a degree to which the input data matches the stored data can be determined.

Abstract: An analog error correction circuit is disclosed that implements an analog error correction code. The analog circuit includes a crossbar array of memristors or other nonvolatile tunable resistive memory devices. The crossbar array includes a first crossbar array portion programmed with values of a target computation matrix and a second crossbar array portion programmed with values of an encoder matrix for correcting computation errors in the matrix multiplication of an input vector with the computation matrix. The first and second crossbar array portions share the same row lines and are connected to a third crossbar array portion that is programmed with values of a decoder matrix, thereby enabling single-cycle error detection. A computation error is detected based on output of the decoder matrix circuitry and a location of the error is determined via an inverse matrix multiplication operation whereby the decoder matrix output is fed back to the decoder matrix.