Exemple #1
0
def run_test(m,
             output_dir_name,
             show_connectivity=True,
             repeats=1,
             n_show_only=None,
             add_noise=True,
             dropouts=[{
                 'E': 0,
                 'I': 0
             }]):

    n_cells_driven = m.N_DRIVING_CELLS * m.PROJECTION_NUM

    w_u_e_drive = np.zeros(m.N_DRIVING_CELLS)
    w_u_e_drive[0] = m.W_U_E
    w_u_e = np.repeat(np.diag(w_u_e_drive), m.PROJECTION_NUM, axis=0)

    ## input weights
    w_u = {
        # localized inputs to trigger activation from start of chain
        'E':
        np.block([
            [w_u_e, np.zeros([n_cells_driven, m.N_EXC + m.N_INH])],
            [
                np.zeros([
                    m.N_EXC + m.N_INH - n_cells_driven,
                    m.N_EXC + m.N_INH + m.N_DRIVING_CELLS
                ])
            ],
        ]),
        'I':
        np.zeros((m.N_EXC + m.N_INH, m.N_DRIVING_CELLS + m.N_EXC + m.N_INH)),
        'A':
        np.zeros((m.N_EXC + m.N_INH, m.N_DRIVING_CELLS + m.N_EXC + m.N_INH)),
    }

    e_i_r = np.stack(
        [rand_n_ones_in_vec_len_l(10, m.N_EXC) for i in range(m.N_INH)])

    i_e_r = np.stack(
        [rand_n_ones_in_vec_len_l(20, m.N_INH) for i in range(m.N_EXC)])

    w_e_e_r = generate_chain_weight_mat(m)
    w_e_e_r[:m.N_EXC, :m.N_EXC] += m.RAND_WEIGHT_MAX * np.random.rand(
        m.N_EXC, m.N_EXC)
    np.fill_diagonal(w_e_e_r, 0.)

    connectivity = np.ones((m.N_EXC, m.N_EXC))

    ## recurrent weights
    w_r_base = {
        'E':
        np.block([
            [w_e_e_r, np.zeros((m.N_EXC, m.N_INH))],
            [e_i_r * m.W_E_I_R,
             np.zeros((m.N_INH, m.N_INH))],
        ]),
        'I':
        np.block([
            [np.zeros((m.N_EXC, m.N_EXC)), i_e_r * m.W_I_E_R],
            [np.zeros((m.N_INH, m.N_EXC)),
             np.zeros((m.N_INH, m.N_INH))],
        ]),
        'A':
        np.block([
            [
                m.W_A * np.diag(np.ones((m.N_EXC))),
                np.zeros((m.N_EXC, m.N_INH))
            ],
            [np.zeros((m.N_INH, m.N_EXC)),
             np.zeros((m.N_INH, m.N_INH))],
        ]),
    }

    w_r_for_dropouts = []
    for dropout in dropouts:
        w_r = copy(w_r_base)
        # w_r['E'][:, :m.N_EXC] = dropout_on_mat(w_r['E'][:, :m.N_EXC], dropout['E'])
        # w_r['I'][:, m.N_EXC:] = dropout_on_mat(w_r['I'][:, m.N_EXC:], dropout['I'])
        w_r_for_dropouts.append(w_r)

    # generate timesteps and initial excitatory input window
    t = np.arange(0, S.T, S.DT)

    all_rsps = []

    # run simulation for same set of parameters
    for rp_idx in range(repeats):
        show_trial = (type(n_show_only) is int and rp_idx < n_show_only)

        rsps_for_trial = []

        ## external currents
        if add_noise:
            i_ext = m.SGM_N / S.DT * np.random.randn(
                len(t), m.N_EXC + m.N_INH) + m.I_EXT_B
        else:
            i_ext = m.I_EXT_B * np.ones((len(t), m.N_EXC + m.N_INH))

        ## inp spks
        spks_u_base = np.zeros((len(t), m.N_DRIVING_CELLS + m.N_EXC + m.N_INH),
                               dtype=int)

        # trigger inputs
        activation_times = np.concatenate([
            np.random.poisson(m.DRIVING_HZ * S.DT, size=(len(t), 1))
            for i in range(m.N_DRIVING_CELLS)
        ],
                                          axis=1)
        spks_u = copy(spks_u_base)
        spks_u[:, :m.N_DRIVING_CELLS] = np.zeros((len(t), m.N_DRIVING_CELLS))
        burst_t = np.arange(0, 4 * int(m.BURST_T / S.DT),
                            int(m.BURST_T / S.DT))

        for t_idx, driving_cell_idx in zip(*activation_times.nonzero()):
            try:
                spks_u[burst_t + t_idx, driving_cell_idx] = 1
            except IndexError as e:
                pass

        rsps_for_trial = []

        for d_idx, dropout in enumerate(dropouts):

            w_r_for_dropout = w_r_for_dropouts[d_idx]

            w_max = m.W_MAX / m.M
            if show_connectivity:
                graph_weights(copy(w_r_for_dropout), copy(w_u), v_max=w_max)

            ntwk = LIFNtwkG(
                c_m=m.C_M_E,
                g_l=m.G_L_E,
                e_l=m.E_L_E,
                v_th=m.V_TH_E,
                v_r=m.E_R_E,
                t_r=m.T_R_E,
                e_s={
                    'E': M.E_E,
                    'I': M.E_I,
                    'A': M.E_A
                },
                t_s={
                    'E': M.T_E,
                    'I': M.T_E,
                    'A': M.T_A
                },
                w_r=copy(w_r_for_dropout),
                w_u=copy(w_u),
                plasticity_indices=np.arange(m.N_EXC),
                connectivity=connectivity,
                W_max=m.W_MAX,
                m=m.M,
                eta=m.ETA,
                epsilon=m.EPSILON,
                dt=S.DT,
                gamma=m.GAMMA,
                alpha=m.ALPHA,
                fr_set_points=m.FR_SET_POINTS,
                output_freq=1000,
                homeo=True,
            )

            clamp = Generic(v={0: np.repeat(m.E_L_E, m.N_EXC + m.N_INH)},
                            spk={})

            # run smln
            rsp = ntwk.run(
                dt=S.DT,
                clamp=clamp,
                i_ext=i_ext,
                output_dir_name=f'{output_dir_name}_{rp_idx}_{d_idx}',
                spks_u=spks_u,
                dropouts=[(m.DROPOUT_TIME, dropouts[d_idx])],
            )

            if show_connectivity:
                graph_weights(rsp.ntwk.w_r, rsp.ntwk.w_u, v_max=w_max)

            w_r_e = rsp.ntwk.w_r['E'][:m.N_EXC, :m.N_EXC]
            graph_weight_matrix(w_r_e, 'Exc->Exc Weights\n', v_max=w_max)
            graph_weight_matrix(np.sqrt(np.dot(w_r_e, w_r_e.T)),
                                'W * W.T \n',
                                v_max=w_max)

            rsps_for_trial.append({
                'spks_t':
                copy(rsp.spks_t),
                'spks_c':
                copy(rsp.spks_c),
                'spks_u':
                spks_u.nonzero(),
                'w_r':
                copy(rsp.ntwk.w_r),
                'activation_times':
                activation_times.nonzero(),
            })
        all_rsps.append(rsps_for_trial)
    return all_rsps
Exemple #2
0
def run_test(m, output_dir_name, show_connectivity=True, repeats=1, n_show_only=None,
    add_noise=True, dropouts=[{'E': 0, 'I': 0}], w_r_e=None, w_r_i=None, epochs=500):

    output_dir = f'./figures/{output_dir_name}'
    os.makedirs(output_dir)

    robustness_output_dir = f'./robustness/{output_dir_name}'
    os.makedirs(robustness_output_dir)
    
    w_u_e = np.diag(np.ones(m.N_DRIVING_CELLS)) * m.W_U_E
    
    ## input weights
    w_u = {
        # localized inputs to trigger activation from start of chain
        'E': np.block([
            [ w_u_e, np.zeros([m.N_DRIVING_CELLS, m.N_EXC + m.N_SILENT + m.N_INH]) ],
            [ np.zeros([m.N_EXC + m.N_SILENT + m.N_INH - m.N_DRIVING_CELLS, m.N_EXC + m.N_SILENT + m.N_INH + m.N_DRIVING_CELLS]) ],
        ]),

        'I': np.zeros((m.N_EXC + m.N_SILENT + m.N_INH , m.N_DRIVING_CELLS + m.N_EXC + m.N_SILENT + m.N_INH)),

        'A': np.zeros((m.N_EXC + m.N_SILENT + m.N_INH, m.N_DRIVING_CELLS + m.N_EXC + m.N_SILENT + m.N_INH)),
    }

    connectivity = np.ones((m.N_EXC, m.N_EXC))

    def solid_unit_func():
        return np.ones((m.PROJECTION_NUM, m.PROJECTION_NUM))

    def rand_unit_func():
        return np.random.rand(m.PROJECTION_NUM, m.PROJECTION_NUM)

    if w_r_e is None:
        w_e_e_r = generate_exc_ff_chain(m)

        scaled_down_mask = np.random.rand(m.N_EXC + m.N_SILENT, 1) < m.SCALE_DOWN_PROB
        scaled_down_amp = np.random.rand(m.N_EXC + m.N_SILENT, 1) * m.W_E_E_SCALE_DOWN_FACTOR
        scaled_down_amp_e_i = np.random.rand(m.N_EXC + m.N_SILENT, 1) * m.W_E_I_SCALE_DOWN_FACTOR

        w_e_e_r = np.where(scaled_down_mask, scaled_down_amp, 1) * w_e_e_r

        np.fill_diagonal(w_e_e_r, 0.)

        con_per_i = m.E_I_CON_PER_LINK * m.N_EXC / m.PROJECTION_NUM
        e_i_r = rand_per_row_mat(int(con_per_i), (m.N_INH, m.N_EXC))

        e_i_r = np.where(scaled_down_mask.T, scaled_down_amp_e_i.T, 1) * e_i_r
        s_e_r = rand_per_row_mat(int(0.1 * m.N_SILENT), (m.N_EXC, m.N_SILENT))

        w_r_e = np.block([
            [ w_e_e_r, s_e_r * m.W_E_E_R / m.PROJECTION_NUM, np.zeros((m.N_EXC, m.N_INH)) ],
            [ np.zeros((m.N_SILENT, m.N_EXC + m.N_SILENT + m.N_INH)) ],
            [ e_i_r * m.W_E_I_R,  np.zeros((m.N_INH, m.N_INH + m.N_SILENT)) ],
        ])

    if w_r_i is None:

        i_e_r = mat_1_if_under_val(m.I_E_CON_PROB, (m.N_EXC, m.N_INH))

        w_r_i = np.block([
            [ np.zeros((m.N_EXC, m.N_EXC + m.N_SILENT)), i_e_r * m.W_I_E_R ],
            [ np.zeros((m.N_SILENT + m.N_INH, m.N_EXC + m.N_SILENT + m.N_INH)) ],
        ])
    
    ## recurrent weights
    w_r = {
        'E': w_r_e,
        'I': w_r_i,
        'A': np.block([
            [ m.W_A * np.diag(np.ones((m.N_EXC))), np.zeros((m.N_EXC, m.N_SILENT + m.N_INH)) ],
            [ np.zeros((m.N_SILENT + m.N_INH, m.N_EXC + m.N_SILENT + m.N_INH)) ],
        ]),
    }
    
    all_rsps = []

    # run simulation for same set of parameters
    for rp_idx in range(repeats):
        show_trial = (type(n_show_only) is int and rp_idx < n_show_only)

        rsps_for_trial = []
        
        for d_idx, dropout in enumerate(dropouts):

            e_cell_fr_setpoints = None
            i_cell_fr_setpoints = None
            e_cell_pop_fr_setpoint = None
            active_cells_pre_dropout_mask = None
            surviving_cell_indices = None

            w_r_copy = copy(w_r)

            for i_e in range(epochs):

                if i_e == m.DROPOUT_ITER:
                    w_r_copy['E'][:, :(m.N_EXC + m.N_SILENT)], surviving_cell_indices = dropout_on_mat(w_r_copy['E'][:, :(m.N_EXC + m.N_SILENT)], dropout['E'], min_idx=m.DROPOUT_MIN_IDX, max_idx=m.DROPOUT_MAX_IDX)

                t = np.arange(0, S.T, S.DT)

                ## external currents
                if add_noise:
                    i_ext = m.SGM_N/S.DT * np.random.randn(len(t), m.N_EXC + m.N_SILENT + m.N_INH) + m.I_EXT_B
                else:
                    i_ext = m.I_EXT_B * np.ones((len(t), m.N_EXC + m.N_SILENT + m.N_INH))

                ## inp spks
                spks_u_base = np.zeros((len(t), m.N_DRIVING_CELLS + m.N_EXC + m.N_SILENT + m.N_INH), dtype=int)

                # trigger inputs
                activation_times = np.zeros((len(t), m.N_DRIVING_CELLS))
                for t_ctr in np.arange(0, S.T, 1./m.DRIVING_HZ):
                    activation_times[int(t_ctr/S.DT), :] = 1

                np.concatenate([np.random.poisson(m.DRIVING_HZ * S.DT, size=(len(t), 1)) for i in range(m.N_DRIVING_CELLS)], axis=1)
                spks_u = copy(spks_u_base)
                spks_u[:, :m.N_DRIVING_CELLS] = np.zeros((len(t), m.N_DRIVING_CELLS))
                burst_t = np.arange(0, 5 * int(m.BURST_T / S.DT), int(m.BURST_T / S.DT))

                for t_idx, driving_cell_idx in zip(*activation_times.nonzero()):
                    input_noise_t = np.array(np.random.normal(scale=m.INPUT_STD / S.DT), dtype=int)
                    try:
                        spks_u[burst_t + t_idx + input_noise_t, driving_cell_idx] = 1
                    except IndexError as e:
                        pass

                def create_prop(prop_exc, prop_inh):
                    return cc([prop_exc * np.ones(m.N_EXC), prop_inh * np.ones(m.N_INH)])

                c_m = create_prop(m.C_M_E, m.C_M_I)
                g_l = create_prop(m.G_L_E, m.G_L_I)
                e_l = create_prop(m.E_L_E, m.E_L_I)
                v_th = create_prop(m.V_TH_E, m.V_TH_I)
                e_r = create_prop(m.E_R_E, m.E_R_I)
                t_r = create_prop(m.T_R_E, m.T_R_I)

                ntwk = LIFNtwkG(
                    c_m=c_m,
                    g_l=g_l,
                    e_l=e_l,
                    v_th=v_th,
                    v_r=e_r,
                    t_r=t_r,
                    e_s={'E': M.E_E, 'I': M.E_I, 'A': M.E_A},
                    t_s={'E': M.T_E, 'I': M.T_E, 'A': M.T_A},
                    w_r=w_r_copy,
                    w_u=w_u,
                    plasticity_indices=np.arange(m.N_EXC),
                    connectivity=connectivity,
                    W_max=m.W_E_E_R_MAX,
                    m=m.M,
                    output=False,
                    output_freq=100000,
                    weight_update=False,
                )

                clamp = Generic(v={0: np.repeat(m.E_L_E, m.N_EXC + m.N_SILENT + m.N_INH)}, spk={})

                # run smln
                rsp = ntwk.run(dt=S.DT, clamp=clamp, i_ext=i_ext,
                                output_dir_name=f'{output_dir_name}_{rp_idx}_{d_idx}', spks_u=spks_u,
                                dropouts=[], m=m, repairs=[],
                                )

                scale = 0.8
                gs = gridspec.GridSpec(3, 1)
                fig = plt.figure(figsize=(9 * scale, 9 * scale), tight_layout=True)
                axs = [fig.add_subplot(gs[:2]), fig.add_subplot(gs[2])]

                spks_for_e_cells = rsp.spks[:, :(m.N_EXC + m.N_SILENT)]
                spks_for_i_cells = rsp.spks[:, (m.N_EXC + m.N_SILENT):(m.N_EXC + m.N_SILENT + m.N_INH)]
                if surviving_cell_indices is not None:
                    spks_for_e_cells[:, ~(surviving_cell_indices.astype(bool))] = 0

                spk_bins, freqs = bin_occurrences(spks_for_e_cells.sum(axis=0), max_val=200, bin_size=1)
                if surviving_cell_indices is not None:
                    freqs[0] -= np.sum(np.where(~(surviving_cell_indices.astype(bool)), 1, 0))

                axs[1].bar(spk_bins, freqs, alpha=0.5)
                axs[1].set_xlabel('Spks per neuron')
                axs[1].set_ylabel('Frequency')
                axs[1].set_xlim(-0.5, 20.5)
                axs[1].set_ylim(0, m.N_EXC + m.N_SILENT)

                raster = np.stack([rsp.spks_t, rsp.spks_c])
                inh_raster = raster[:, raster[1, :] > (m.N_EXC + m.N_SILENT)]

                spk_bins_i, freqs_i = bin_occurrences(spks_for_i_cells.sum(axis=0), max_val=100, bin_size=1)

                axs[1].bar(spk_bins_i, freqs_i, color='black', alpha=0.5)


                if active_cells_pre_dropout_mask is not None:
                    exc_cells_initially_active = copy(spks_for_e_cells)
                    exc_cells_initially_active[:, ~active_cells_pre_dropout_mask] = 0
                    exc_cells_initially_active = np.stack(exc_cells_initially_active.nonzero())

                    exc_cells_newly_active = copy(spks_for_e_cells)
                    exc_cells_newly_active[:, active_cells_pre_dropout_mask] = 0
                    exc_cells_newly_active = np.stack(exc_cells_newly_active.nonzero())

                    axs[0].scatter(exc_cells_initially_active[0, :] * S.DT * 1000, exc_cells_initially_active[1, :], s=1, c='black', zorder=0, alpha=0.2)
                    axs[0].scatter(exc_cells_newly_active[0, :] * S.DT * 1000, exc_cells_newly_active[1, :], s=1, c='green', zorder=1, alpha=1)
                else:
                    exc_raster = raster[:, raster[1, :] < (m.N_EXC + m.N_SILENT)]

                    axs[0].scatter(exc_raster[0, :] * 1000, exc_raster[1, :], s=1, c='black', zorder=0, alpha=1)

                axs[0].scatter(inh_raster[0, :] * 1000, inh_raster[1, :], s=1, c='red', zorder=0, alpha=1)

                axs[0].set_ylim(-1, m.N_EXC + m.N_INH)
                axs[0].set_xlim(0, 0.15 * 1000)
                axs[0].set_ylabel('Cell Index')
                axs[0].set_xlabel('Time (ms)')

                for i in range(len(axs)):
                    set_font_size(axs[i], 14)
                fig.savefig(f'{output_dir}/{d_idx}_{zero_pad(i_e, 4)}.png')

                first_spk_times = process_single_activation(exc_raster, m)

                if i_e == 0:
                    sio.savemat(robustness_output_dir + '/' + f'title_{title}_dropout_{d_idx}_eidx_{zero_pad(i_e, 4)}', {
                        'first_spk_times': first_spk_times,
                        'w_r_e_summed': np.sum(rsp.ntwk.w_r['E'][:m.N_EXC, :m.N_EXC], axis=1),
                        'w_r_e_i_summed': np.sum(rsp.ntwk.w_r['E'][m.N_EXC:, :m.N_EXC], axis=1),
                        'spk_bins': spk_bins,
                        'freqs': freqs,
                        'exc_raster': exc_raster,
                        'inh_raster': inh_raster,
                    })
                else:
                    if i_e >= m.DROPOUT_ITER:
                        spks_for_e_cells[:, ~surviving_cell_indices.astype(int)] = 0

                    # filter e cell spks for start of bursts
                    def burst_kernel(spks):
                        if spks.shape[0] > 1 and np.count_nonzero(spks[:-1]) > 0:
                            return 0
                        else:
                            return spks[-1]

                    filtered_spks_for_e_cells = np.zeros(spks_for_e_cells.shape)
                    t_steps_in_burst = int(4e-3/S.DT)

                    for i_c in range(spks_for_e_cells.shape[1]):
                        for i_t in range(spks_for_e_cells.shape[0]):
                            idx_filter_start = (i_t - t_steps_in_burst) if (i_t - t_steps_in_burst) > 0 else 0
                            idx_filter_end = (i_t + 1)

                            filtered_spks_for_e_cells[i_t, i_c] = burst_kernel(spks_for_e_cells[idx_filter_start: idx_filter_end, i_c])




                    stdp_burst_pair = 0
                    # E SINGLE-CELL FIRING RATE RULE
                    fr_update_e = 0

                    if i_e >= m.E_SINGLE_FR_TRIALS[0] and i_e < m.E_SINGLE_FR_TRIALS[1]:
                        if e_cell_fr_setpoints is None:
                            e_cell_fr_setpoints = np.sum(spks_for_e_cells > 0, axis=0)
                        else:
                            e_cell_fr_setpoints += np.sum(spks_for_e_cells > 0, axis=0)
                    elif i_e == m.E_SINGLE_FR_TRIALS[1]:
                        e_cell_fr_setpoints = e_cell_fr_setpoints / (m.E_SINGLE_FR_TRIALS[1] - m.E_SINGLE_FR_TRIALS[0])
                        where_fr_is_0 = (e_cell_fr_setpoints == 0)
                        if not m.SINGLE_CELL_FR_SYM:
                            e_cell_fr_setpoints[where_fr_is_0] = np.random.normal   (
                                loc=m.SINGLE_CELL_FR_SETPOINT_MIN,
                                scale=m.SINGLE_CELL_FR_SETPOINT_MIN_STD,
                                size=e_cell_fr_setpoints[where_fr_is_0].shape[0]
                            )
                    elif i_e > m.E_SINGLE_FR_TRIALS[1]:
                        e_diffs = e_cell_fr_setpoints - np.sum(spks_for_e_cells > 0, axis=0)

                        # STDP FOR E CELLS: put in pairwise STDP on filtered_spks_for_e_cells
                        for i_t in range(spks_for_e_cells.shape[0]):
                            stdp_start = i_t - m.CUT_IDX_TAU_PAIR if i_t - m.CUT_IDX_TAU_PAIR > 0 else 0

                            stdp_spk_hist = filtered_spks_for_e_cells[stdp_start:i_t, :]

                            t_points_for_stdp = stdp_spk_hist.shape[0]
                            curr_spks = filtered_spks_for_e_cells[i_t, :]

                            if t_points_for_stdp > 0:
                                sparse_curr_spks = csc_matrix(curr_spks)
                                sparse_spks = csc_matrix(np.flip(stdp_spk_hist, axis=0))

                                # compute sparse pairwise correlations with curr_spks and spikes in stdp pairwise time window & dot into pairwise kernel
                                stdp_burst_pair += kron(curr_spks, sparse_spks).T.dot(m.KERNEL_PAIR[:t_points_for_stdp]).reshape(spks_for_e_cells.shape[1], spks_for_e_cells.shape[1])
                            else:
                                stdp_burst_pair += 0.

                        stdp_burst_pair[e_diffs <= 0, :] = 0

                        if not m.SINGLE_CELL_FR_SYM:
                            e_diffs[e_diffs >= 0] = 0
                        fr_update_e = e_diffs.reshape(e_diffs.shape[0], 1) * np.ones((m.N_EXC + m.N_SILENT, m.N_EXC + m.N_SILENT)).astype(float)




                    # E POPULATION-LEVEL FIRING RATE RULE
                    fr_pop_update = 0

                    if i_e >= m.POP_FR_TRIALS[0] and i_e < m.POP_FR_TRIALS[1]:
                        if e_cell_pop_fr_setpoint is None:
                            e_cell_pop_fr_setpoint = np.sum(spks_for_e_cells)
                        else:
                            e_cell_pop_fr_setpoint += np.sum(spks_for_e_cells)
                    elif i_e == m.POP_FR_TRIALS[1]:
                        e_cell_pop_fr_setpoint = e_cell_pop_fr_setpoint / (m.POP_FR_TRIALS[1] - m.POP_FR_TRIALS[0])
                    elif i_e > m.POP_FR_TRIALS[1]:
                        fr_pop_update = e_cell_pop_fr_setpoint - np.sum(spks_for_e_cells)



                    # I SINGLE-CELL FIRING RATE RULE
                    fr_update_i = 0

                    if i_e >= m.I_SINGLE_FR_TRIALS[0] and i_e < m.I_SINGLE_FR_TRIALS[1]:
                        if i_cell_fr_setpoints is None:
                            i_cell_fr_setpoints = np.sum(spks_for_i_cells > 0, axis=0)
                        else:
                            i_cell_fr_setpoints += np.sum(spks_for_i_cells > 0, axis=0)
                    elif i_e == m.I_SINGLE_FR_TRIALS[1]:
                        i_cell_fr_setpoints = i_cell_fr_setpoints / (m.I_SINGLE_FR_TRIALS[1] - m.I_SINGLE_FR_TRIALS[0])
                    elif i_e > m.I_SINGLE_FR_TRIALS[1]:
                        i_diffs = i_cell_fr_setpoints - np.sum(spks_for_i_cells > 0, axis=0)
                        i_diffs[(i_diffs <= 1) & (i_diffs >= -1)] = 0
                        fr_update_i = i_diffs.reshape(i_diffs.shape[0], 1) * np.ones((m.N_INH, m.N_EXC + m.N_SILENT)).astype(float)

                    print('fr_pop_update')
                    report_mat(fr_pop_update)

                    print('fr_update_i')
                    report_mat(fr_update_i)

                    e_total_potentiation = m.ETA * (m.ALPHA_1 * fr_update_e + m.BETA * stdp_burst_pair + m.GAMMA * fr_pop_update)
                    i_total_potentiation = m.ETA * (m.ALPHA_2 * fr_update_i)

                    if type(e_total_potentiation) is not float:
                        e_total_potentiation[:m.DROPOUT_MIN_IDX, :] = 0
                        e_total_potentiation[m.DROPOUT_MAX_IDX:, :] = 0
                        e_total_potentiation[:, :m.DROPOUT_MIN_IDX] = 0
                        e_total_potentiation[:, m.DROPOUT_MAX_IDX:] = 0
                    if type(i_total_potentiation) is not float:
                        try:
                            i_total_potentiation[:, :m.DROPOUT_MIN_IDX] = 0
                            i_total_potentiation[:, m.DROPOUT_MAX_IDX:] = 0
                        except TypeError as e:
                            breakpoint()

                    print('delta_e_fr')
                    mat_delta_e_fr = fr_update_e * w_r_copy['E'][:(m.N_EXC + m.N_SILENT), :(m.N_EXC + m.N_SILENT)]
                    report_mat(m.ALPHA_1 * mat_delta_e_fr)
                    print('delta_e_stdp')
                    mat_delta_e_stdp = stdp_burst_pair * w_r_copy['E'][:(m.N_EXC + m.N_SILENT), :(m.N_EXC + m.N_SILENT)]
                    report_mat(m.BETA * mat_delta_e_stdp)

                    w_r_copy['E'][:(m.N_EXC + m.N_SILENT), :(m.N_EXC + m.N_SILENT)] += (e_total_potentiation * w_r_copy['E'][:(m.N_EXC + m.N_SILENT), :(m.N_EXC + m.N_SILENT)])
                    w_r_copy['E'][(m.N_EXC + m.N_SILENT):, :(m.N_EXC + m.N_SILENT)] += (i_total_potentiation * w_r_copy['E'][(m.N_EXC + m.N_SILENT):, :(m.N_EXC + m.N_SILENT)])

                    w_r_copy['E'][w_r_copy['E'] < 0] = 0

                    w_e_e_hard_bound = m.W_E_E_R_MAX / m.PROJECTION_NUM
                    w_r_copy['E'][:(m.N_EXC + m.N_SILENT), :(m.N_EXC + m.N_SILENT)][w_r_copy['E'][:(m.N_EXC + m.N_SILENT), :(m.N_EXC + m.N_SILENT)] > w_e_e_hard_bound] = w_e_e_hard_bound 

                    w_e_i_hard_bound = m.W_E_I_R_MAX
                    w_r_copy['E'][(m.N_EXC + m.N_SILENT):, :(m.N_EXC + m.N_SILENT)][w_r_copy['E'][(m.N_EXC + m.N_SILENT):, :(m.N_EXC + m.N_SILENT)] > m.W_E_I_R_MAX] = m.W_E_I_R_MAX 


                    if i_e == m.DROPOUT_ITER - 1:
                        active_cells_pre_dropout_mask = np.where(spks_for_e_cells.sum(axis=0) > 0, True, False)

                    if i_e % 10 == 0:
                        if i_e < m.DROPOUT_ITER:
                            if i_e % 250 == 0:
                                sio.savemat(robustness_output_dir + '/' + f'title_{title}_dropout_{d_idx}_eidx_{zero_pad(i_e, 4)}', {
                                    'first_spk_times': first_spk_times,
                                    'w_r_e_summed': np.sum(rsp.ntwk.w_r['E'][:m.N_EXC, :m.N_EXC], axis=1),
                                    'w_r_e_i_summed': np.sum(rsp.ntwk.w_r['E'][m.N_EXC:, :m.N_EXC], axis=1),
                                    'w_r_e': rsp.ntwk.w_r['E'],
                                    'w_r_i': rsp.ntwk.w_r['I'],
                                    'spk_bins': spk_bins,
                                    'freqs': freqs,
                                    'exc_raster': exc_raster,
                                    'inh_raster': inh_raster,
                                })
                            else:
                                sio.savemat(robustness_output_dir + '/' + f'title_{title}_dropout_{d_idx}_eidx_{zero_pad(i_e, 4)}', {
                                    'first_spk_times': first_spk_times,
                                    'w_r_e_summed': np.sum(rsp.ntwk.w_r['E'][:m.N_EXC, :m.N_EXC], axis=1),
                                    'w_r_e_i_summed': np.sum(rsp.ntwk.w_r['E'][m.N_EXC:, :m.N_EXC], axis=1),
                                    'spk_bins': spk_bins,
                                    'freqs': freqs,
                                    'exc_raster': exc_raster,
                                    'inh_raster': inh_raster,
                                })
                        else:
                            if i_e % 250 == 0:
                                sio.savemat(robustness_output_dir + '/' + f'title_{title}_dropout_{d_idx}_eidx_{zero_pad(i_e, 4)}', {
                                    'first_spk_times': first_spk_times,
                                    'w_r_e_summed': np.sum(rsp.ntwk.w_r['E'][:m.N_EXC, :m.N_EXC], axis=1),
                                    'w_r_e_i_summed': np.sum(rsp.ntwk.w_r['E'][m.N_EXC:, :m.N_EXC], axis=1),
                                    'w_r_e': rsp.ntwk.w_r['E'],
                                    'w_r_i': rsp.ntwk.w_r['I'],
                                    'spk_bins': spk_bins,
                                    'freqs': freqs,
                                    'exc_cells_initially_active': exc_cells_initially_active,
                                    'exc_cells_newly_active': exc_cells_newly_active,
                                    'inh_raster': inh_raster,
                                    'surviving_cell_indices': surviving_cell_indices,
                                })                               
                            else:
                                sio.savemat(robustness_output_dir + '/' + f'title_{title}_dropout_{d_idx}_eidx_{zero_pad(i_e, 4)}', {
                                    'first_spk_times': first_spk_times,
                                    'w_r_e_summed': np.sum(rsp.ntwk.w_r['E'][:m.N_EXC, :m.N_EXC], axis=1),
                                    'w_r_e_i_summed': np.sum(rsp.ntwk.w_r['E'][m.N_EXC:, :m.N_EXC], axis=1),
                                    'spk_bins': spk_bins,
                                    'freqs': freqs,
                                    'exc_cells_initially_active': exc_cells_initially_active,
                                    'exc_cells_newly_active': exc_cells_newly_active,
                                    'inh_raster': inh_raster,
                                    'surviving_cell_indices': surviving_cell_indices,
                                })